Embed Size (px)
Citation preview
IXL Skill Plan for the TABE®
Math
Use IXL's interactive skill plan to get up-to-date skill alignments, assign skillsto your students, and track progress.
www.ixl.com/math/skill-plans/tests-of-adult-basic-education-math
This document includes IXL skill alignments to the Tests of Adult Basic Education. IXL provides skill alignments as a service to teachers,
students, and parents. The following skill alignments are not affiliated with, sponsored by, or endorsed by Data Recognition Corporation.
IXL and IXL Learning are registered trademarks of IXL Learning, Inc. All other trademarks and registered trademarks and copyrights are the
property of their respective owners.
Visit IXL.com for more information IXL Learning © 2020
Level L Number and Operations in Base Ten
Standard IXL skills
1.NBT.2a: 10 can be thought of as a bundle of tenones - called a "ten."
1. Counting tens and ones - up to 99 EAN
2. Hundred chart 64Q
3. Place value models up to 100 5CG
4. Write numbers as tens and ones 7WF
1.NBT.2b: The numbers from 11 to 19 arecomposed of a ten and one, two, three, four, five,six, seven, eight, or nine ones.
1. Counting tens and ones - up to 20 GU6
2. Place value models up to 20 YPB
3. Write numbers as tens and ones up to 20 5HL
1.NBT.2c: The numbers 10, 20, 30, 40, 50, 60, 70, 80,90 refer to one, two, three, four, five, six, seven,eight, or nine tens (and 0 ones).
1. Convert between tens and ones - multiples of10 VH7
1.NBT.3: Compare two two-digit numbers basedon meanings of the tens and ones digits, recordingthe results of comparisons with the symbols >, =,and <.
1. Compare numbers up to 100 using symbols FU5
1.NBT.4: Add within 100, including adding a two-digit number and a one-digit number, and adding atwo-digit number and a multiple of 10, usingconcrete models or drawings and strategies basedon place value, properties of operations, and/or therelationship between addition and subtraction;relate the strategy to a written method and explainthe reasoning used. Understand that in addingtwo-digit numbers, one adds tens and tens, onesand ones; and sometimes it is necessary tocompose a ten.
Strategies1. Add two multiples of ten EMK
2. Add a multiple of ten and a two-digitnumber LNL
3. Add three numbers - use doubles 2K8
4. Add three numbers RL2
Regroup tens and ones5. Regroup tens and ones - ways to make a
number FCJ
6. Regroup tens and ones EWN
Add a two-digit number and one-digit number7. Add a one-digit number to a two-digit number -
without regrouping 5VX
8. Add a one-digit number to a two-digit number -with regrouping BF6
Visit IXL's interactive skill plan at www.ixl.com/math/skill-plans/tests-of-adult-basic-education-math
© 2020 IXL Learning. Visit IXL.com today! p. 1
Operations and Algebraic Thinking
1.NBT.5: Given a two-digit number, mentally find10 more or 10 less than the number, withouthaving to count; explain the reasoning used.
1. Ten more or less CLA
1.NBT.6: Subtract multiples of 10 in the range 10-90 from multiples of 10 in the range 10-90 (positiveor zero differences), using concrete models ordrawings and strategies based on place value,properties of operations, and/or the relationshipbetween addition and subtraction; relate thestrategy to a written method and explain thereasoning used.
1. Subtract multiples of 10 9DD
Standard IXL skills
1.OA.2: Solve word problems that call for additionof three whole numbers whose sum is less than orequal to 20, e.g., by using objects, drawings, andequations with a symbol for the unknown numberto represent the problem.
1. Add three numbers - word problems Z7S
1.OA.3: Apply properties of operations asstrategies to add and subtract.
1. Related addition facts Y8Y
2. Add three numbers - make ten 8B2
3. Add three numbers RL2
4. Related subtraction facts XZB
5. Fact families WD2
1.OA.4: Understand subtraction as an unknown-addend problem.
1. Complete the addition sentence - sums up to10 N2N
2. Complete the addition sentence - make ten 5MN
3. Relate addition and subtraction sentences DM2
1.OA.5: Relate counting to addition andsubtraction (e.g., by counting on 2 to add 2).
Addition1. Addition sentences using number lines - sums up
to 10 UWW
2. Addition sentences using number lines - sums upto 20 LXW
Visit IXL's interactive skill plan at www.ixl.com/math/skill-plans/tests-of-adult-basic-education-math
© 2020 IXL Learning. Visit IXL.com today! p. 2
Subtraction3. Subtraction sentences using number lines - up to
10 LRN
4. Subtraction sentences using number lines - up to20 MMS
1.OA.6: Add and subtract within 20, demonstratingfluency for addition and subtraction within 10. Usestrategies such as counting on; making ten (e.g., 8 +6 = 8 + 2 + 4 = 10 + 4 = 14); decomposing a numberleading to a ten (e.g., 13 - 4 = 13 - 3 - 1 = 10 - 1 = 9);using the relationship between addition andsubtraction (e.g., knowing that 8 + 4 = 12, oneknows 12 - 8 = 4); and creating equivalent buteasier or known sums (e.g., adding 6 + 7 by creatingthe known equivalent 6 + 6 + 1 = 12 + 1 = 13).
Addition skill builders1. Adding 1 HRU
2. Adding 2 5ZD
3. Adding 3 YJB
4. Adding 4 5T3
5. Adding 5 ZPK
6. Adding 6 RGF
7. Adding 7 BVK
8. Adding 8 LTE
9. Adding 9 H8F
10. Adding 0 UFN
Add within 1011. Addition facts - sums up to 10 WUL
12. Make a number using addition - sums up to10 VSE
13. Ways to make a number - addition sentencesup to 10 K48
Add within 2014. Addition facts - sums up to 20 6TM
15. Make a number using addition - sums up to20 UMX
Addition strategies16. Add doubles - with models HRW
17. Add doubles DFT
18. Add using doubles plus one XAY
19. Add using doubles minus one FRN
20. Add three numbers - make ten 8B2
Subtraction skill builders21. Subtracting 1 HAQ
22. Subtracting 2 FP5
23. Subtracting 3 APQ
Visit IXL's interactive skill plan at www.ixl.com/math/skill-plans/tests-of-adult-basic-education-math
© 2020 IXL Learning. Visit IXL.com today! p. 3
24. Subtracting 4 7E7
25. Subtracting 5 U7E
26. Subtracting 6 2S3
27. Subtracting 7 62E
28. Subtracting 8 WMY
29. Subtracting 9 YYK
30. Subtracting 0 8DN
Subtract within 1031. Subtraction facts - up to 10 EQK
32. Make a number using subtraction - up to10 RSR
33. Ways to make a number - subtractionsentences up to 10 BTD
34. Ways to subtract from a number - subtractionsentences up to 10 ZZD
Subtract within 2035. Subtraction facts - up to 20 PV5
36. Make a number using subtraction - up to20 JJS
Subtraction strategies37. Subtract zero and all PEQ
38. Subtract doubles LHZ
Relationship between addition and subtraction39. Relate addition and subtraction sentences DM2
Mixed operations40. Addition and subtraction - ways to make a
number Q8E
41. Addition and subtraction facts - up to 10 V7A
42. Addition and subtraction facts - up to 20 C78
1.OA.7: Understand the meaning of the equal sign,and determine if equations involving addition andsubtraction are true or false.
Addition1. Addition sentences: true or false? AMQ
2. Addition sentences: which is true? XWH
Subtraction3. Subtraction sentences: true or false? XRG
Visit IXL's interactive skill plan at www.ixl.com/math/skill-plans/tests-of-adult-basic-education-math
© 2020 IXL Learning. Visit IXL.com today! p. 4
Geometry
4. Subtraction sentences: which is true? A2N
Mixed operations5. Which sign makes the number sentence
true? 7JY
6. Addition and subtraction sentences: which istrue? QVL
1.OA.8: Determine the unknown whole number inan addition or subtraction equation relating threewhole numbers.
Addition equations1. Complete the addition sentence - sums up to
10 N2N
2. Complete the addition sentence - sums up to20 5BP
3. Add doubles - complete the sentence TAZ
4. Complete the addition sentence - make ten 5MN
Subtraction equations5. Complete the subtraction sentence - up to
10 J6J
6. Complete the subtraction sentence - up to20 ZSR
Standard IXL skills
1.G.2: Compose two-dimensional shapes(rectangles, squares, trapezoids, triangles, half-circles, and quarter-circles) or three-dimensionalshapes (cubes, right rectangular prisms, rightcircular cones, and right circular cylinders) to createa composite shape, and compose new shapes fromthe composite shape.
K.G.4: Analyze and compare two- and three-dimensional shapes, in different sizes andorientations, using informal language to describetheir similarities, differences, parts (e.g., number ofsides and vertices/"corners") and other attributes(e.g., having sides of equal length).
Two-dimensional shapes1. Select two-dimensional shapes QRY
2. Curved parts A6B
3. Count corners EKY
4. Square corners 6ZY
5. Count sides VUD
6. Equal sides T54
7. Count sides and corners UX9
Visit IXL's interactive skill plan at www.ixl.com/math/skill-plans/tests-of-adult-basic-education-math
© 2020 IXL Learning. Visit IXL.com today! p. 5
Measurement and Data
8. Compare sides and corners UXY
Flat and solid9. Flat and solid shapes 4X6
Three-dimensional shapes10. Name the three-dimensional shape 2FZ
11. Select three-dimensional shapes QAV
12. Identify shapes traced from solids MQE
Standard IXL skills
1.MD.2: Express the length of an object as a wholenumber of length units, by laying multiple copies ofa shorter object (the length unit) end to end;understand that the length measurement of anobject is the number of same-size length units thatspan it with no gaps or overlaps.
1. Measure length with objects GWG
2. Measure length with cubes FBV
1.MD.4: Organize, represent, and interpret datawith up to three categories; ask and answerquestions about the total number of data points,how many in each category, and how many moreor less are in one category than in another.
Represent data1. Which picture graph is correct? WZF
2. Which tally chart is correct? XRL
3. Which table is correct? CSH
4. Sort shapes into a Venn diagram C8D
Interpret data5. Interpret picture graphs GFA
6. Interpret tally charts LBV
7. Interpret data in tables KGS
8. Count shapes in a Venn diagram PNU
Visit IXL's interactive skill plan at www.ixl.com/math/skill-plans/tests-of-adult-basic-education-math
© 2020 IXL Learning. Visit IXL.com today! p. 6
Level E Number and Operations in Base Ten
Standard IXL skills
2.NBT.1a: 100 can be thought of as a bundle of tentens - called a "hundred."
1. Place value models - up to hundreds PBX
2. Identify a digit up to the hundreds place 45U
3. Place value - up to hundreds BDF
4. Convert to/from a number - up to hundreds HUX
2.NBT.1b: The numbers 100, 200, 300, 400, 500,600, 700, 800, 900 refer to one, two, three, four, five,six, seven, eight or nine hundreds (and 0 tens and 0ones).
1. Convert between place values - ones andhundreds 9T6
3.NBT.1: Use place value understanding to roundwhole numbers to the nearest 10 or 100.
1. Rounding - nearest ten or hundred only Q65
2.NBT.2: Count within 1000; skip-count by 5s, 10s,and 100s.
1. Skip-counting by fives and tens FVF
2. Count forward and backward by fives andtens 8JK
3. Count forward and backward by fives, tens, andhundreds R5A
3.NBT.2: Fluently add and subtract within 1000using strategies and algorithms based on placevalue, properties of operations, and/or therelationship between addition and subtraction.
Addition1. Add two numbers up to three digits E83
2. Addition input/output tables: up to threedigits MUE
3. Add two numbers up to three digits: wordproblems QU2
4. Add three numbers up to three digits each GSY
5. Add three numbers up to three digits each: wordproblems NPU
6. Addition up to three digits: fill in the missingdigits LYB
Subtraction7. Subtract numbers up to three digits EHT
8. Subtraction input/output tables: up to threedigits J9S
Visit IXL's interactive skill plan at www.ixl.com/math/skill-plans/tests-of-adult-basic-education-math
© 2020 IXL Learning. Visit IXL.com today! p. 7
9. Subtract numbers up to three digits: wordproblems K88
Properties of operations10. Properties of addition NY2
11. Complete the equation using properties ofaddition CGS
Relationship between addition and subtraction12. Complete the addition sentence: up to three
digits D69
13. Balance addition equations: up to threedigits 7PE
14. Complete the subtraction sentence: up to threedigits MD8
15. Balance subtraction equations: up to threedigits 8VK
2.NBT.3: Read and write numbers to 1000 usingbase-ten numerals, number names, and expandedform.
Base-ten numerals1. Writing numbers up to 100 in words - convert
words to digits 2FT
2. Writing numbers up to 1,000 in words - convertwords to digits JKD
Number names3. Spell word names for numbers up to 20 QBX
4. Writing numbers up to 100 in words - convertdigits to words VPG
5. Writing numbers up to 1,000 in words - convertdigits to words VPQ
Expanded form6. Convert from expanded form - up to
hundreds LG5
3.NBT.3: Multiply one-digit whole numbers bymultiples of 10 in the range 10-90 (e.g., 9 × 80, 5 ×60) using strategies based on place value andproperties of operations.
1. Multiply by 10 6YD
2. Multiply by a multiple of ten MS6
2.NBT.4: Compare two three-digit numbers basedon meanings of the hundreds, tens, and ones digits,using >, =, and < symbols to record the results ofcomparisons.
1. Comparing numbers up to 1,000 XF9
Visit IXL's interactive skill plan at www.ixl.com/math/skill-plans/tests-of-adult-basic-education-math
© 2020 IXL Learning. Visit IXL.com today! p. 8
Number and Operations-Fractions
2.NBT.6: Add up to four two-digit numbers usingstrategies based on place value and properties ofoperations.
1. Add three numbers up to two digits each YTH
2. Add four numbers up to two digits each DP6
2.NBT.7: Add and subtract within 1000, usingconcrete models or drawings and strategies basedon place value, properties of operations, and/or therelationship between addition and subtraction;relate the strategy to a written method. Understandthat in adding or subtracting three-digit numbers,one adds or subtracts hundreds and hundreds, tensand tens, ones and ones; and sometimes it isnecessary to compose or decompose tens orhundreds.
Place value strategies1. Add multiples of 100 85Z
2. Add multiples of 10 or 100 RCJ
3. Subtract multiples of 100 2E2
4. Subtract multiples of 10 or 100 VVM
Regroup tens and ones5. Regroup tens and ones - ways to make a
number JKT
6. Regroup tens and ones 5LV
Addition7. Add two-digit numbers - sums to 200 GZY
8. Addition with three-digit numbers ETW
9. Addition word problems - up to three digits UV2
10. Write the addition sentence - up to threedigits PQT
Subtraction11. Subtract three-digit numbers ZVR
Relationship between addition and subtraction12. Complete the addition sentence - up to three
digits R5W
13. Complete the subtraction sentence - up tothree digits MDY
Standard IXL skills
3.NF.1: Understand a fraction 1/b as the quantityformed by 1 part when a whole is partitioned into bequal parts; understand a fraction a/b as thequantity formed by a parts of size 1/b.
Understand fractions1. Understand fractions: fraction bars 6JL
2. Understand fractions: area models RTW
Show fractions3. Show fractions: fraction bars ZPW
4. Show fractions: area models NLE
Visit IXL's interactive skill plan at www.ixl.com/math/skill-plans/tests-of-adult-basic-education-math
© 2020 IXL Learning. Visit IXL.com today! p. 9
Match fractions and models5. Match fractions to models: halves, thirds, and
fourths Y55
6. Match unit fractions to models CPK
7. Match fractions to models YHL
Word problems8. Unit fractions: modeling word problems UV8
9. Unit fractions: word problems HM7
10. Fractions of a whole: modeling wordproblems 9PU
11. Fractions of a whole: word problems BV7
3.NF.2a: Represent a fraction 1/b on a number linediagram by defining the interval from 0 to 1 as thewhole and partitioning it into b equal parts.Recognize that each part has size 1/b and that theendpoint of the part based at 0 locates the number1/b on the number line.
1. Fractions of number lines: unit fractions TBX
2. Identify unit fractions on number lines JVC
3. Graph unit fractions on number lines CBW
3.NF.2b: Represent a fraction a/b on a number linediagram by marking off a lengths 1/b from 0.Recognize that the resulting interval has size a/band that its endpoint locates the number a/b onthe number line.
1. Fractions of number lines J8M
2. Identify fractions on number lines AWH
3. Graph fractions on number lines 7QM
3.NF.3a: Understand two fractions as equivalent(equal) if they are the same size, or the same pointon a number line.
1. Identify equivalent fractions on numberlines HYM
2. Find equivalent fractions using number lines JL8
3.NF.3b: Recognize and generate simpleequivalent fractions, (e.g., 1/2 = 2/4, 4/6 = 2/3).Explain why the fractions are equivalent, e.g., byusing a visual fraction model.
Model equivalent fractions1. Find equivalent fractions using area models: two
models ZJ2
2. Find equivalent fractions using area models: onemodel 6DY
3. Graph equivalent fractions on number lines WPQ
Equivalent fractions4. Identify equivalent fractions 7DA
5. Find equivalent fractions WMX
Visit IXL's interactive skill plan at www.ixl.com/math/skill-plans/tests-of-adult-basic-education-math
© 2020 IXL Learning. Visit IXL.com today! p. 10
Operations and Algebraic Thinking
6. Find equivalent fractions with denominators of10 and 100 RB2
7. Write fractions in lowest terms YM2
3.NF.3c: Express whole numbers as fractions, andrecognize fractions that are equivalent to wholenumbers.
1. Graph fractions equivalent to 1 on numberlines 7BL
2. Select fractions equivalent to whole numbersusing area models GKZ
3. Find fractions equivalent to whole numbers KCE
3.NF.3d: Compare two fractions with the samenumerator or the same denominator by reasoningabout their size. Recognize that comparisons arevalid only when the two fractions refer to the samewhole. Record the results of comparisons with thesymbols >, =, or <, and justify the conclusions, e.g.,by using a visual fraction model.
Compare using area models1. Compare fractions using models MJ2
Compare using number lines2. Graph smaller or larger fractions on a number
line 2PH
3. Compare fractions using number lines 38T
4. Graph and compare fractions with likedenominators on number lines 63U
5. Graph and compare fractions with likenumerators on number lines ZPD
6. Graph and compare fractions on numberlines 6H5
Compare fractions7. Compare fractions 78D
8. Compare fractions in recipes 9BK
Standard IXL skills
2.OA.1: Use addition and subtraction within 100 tosolve one- and two-step word problems involvingsituations of adding to, taking from, puttingtogether, taking apart, and comparing, withunknowns in all positions, e.g., by using drawingsand equations with a symbol for the unknownnumber to represent the problem.
One-digit addition1. Addition word problems - sums to 20 EN6
2. Addition sentences for word problems - sums to20 VSF
3. Add three one-digit numbers: wordproblems VJ9
4. Add four or more one-digit numbers: wordproblems 8NS
One-digit subtraction5. Subtraction word problems - up to 18 2FD
Visit IXL's interactive skill plan at www.ixl.com/math/skill-plans/tests-of-adult-basic-education-math
© 2020 IXL Learning. Visit IXL.com today! p. 11
6. Subtraction sentences for word problems - up to18 AZ8
Two-digit addition7. Addition word problems - up to two digits XAT
8. Write the addition sentence - up to twodigits 5FM
9. Add three numbers up to two digits each: wordproblems 52T
10. Add four numbers up to two digits each: wordproblems YSX
Two-digit subtraction11. Subtraction word problems - up to two
digits UFU
12. Write the subtraction sentence - up to twodigits ZQH
Mixed operations13. Addition and subtraction word problems - up to
20 75R
14. Addition and subtraction word problems - up to100 MEP
15. Two-step addition and subtraction wordproblems - up to 100 7P8
3.OA.1: Interpret products of whole numbers, e.g.,interpret 5 × 7 as the total number of objects in 5groups of 7 objects each.
Equal groups1. Count equal groups 9K7
2. Identify multiplication expressions for equalgroups 9AE
3. Write multiplication sentences for equalgroups V98
Arrays4. Identify multiplication expressions for
arrays HZL
5. Write multiplication sentences for arrays 5FZ
6. Make arrays to model multiplication PPR
Number lines7. Write multiplication sentences for number
lines NTV
Visit IXL's interactive skill plan at www.ixl.com/math/skill-plans/tests-of-adult-basic-education-math
© 2020 IXL Learning. Visit IXL.com today! p. 12
Relate addition and multiplication8. Relate addition and multiplication for equal
groups GGC
9. Relate addition and multiplication P74
3.OA.2: Interpret whole-number quotients ofwhole numbers, e.g., interpret 56 ÷ 8 as thenumber of objects in each share when 56 objectsare partitioned equally into 8 shares, or as anumber of shares when 56 objects are partitionedinto equal shares of 8 objects each.
1. Divide by counting equal groups UYK
2. Write division sentences for groups FSX
3. Write division sentences for arrays 8RW
3.OA.3: Use multiplication and division within 100to solve word problems in situations involvingequal groups, arrays, and measurement quantities,e.g., by using drawings and equations with asymbol for the unknown number to represent theproblem.
Word problems1. Multiplication word problems 9TA
2. Multiplication word problems: find the missingfactor F6C
3. Division word problems ECS
4. Multiplication and division word problems 85K
Variable equations5. Solve for the variable: multiplication and division
only AL9
6. Write variable equations to represent wordproblems: multiplication and division only ZNN
3.OA.4: Determine the unknown whole number ina multiplication or division equation relating threewhole numbers.
1. Multiplication facts for 2, 3, 4, 5, and 10: find themissing factor ZEY
2. Multiplication facts for 6, 7, 8, and 9: find themissing factor X7N
3. Multiplication facts up to 10: find the missingfactor FZA
4. Division facts up to 10: find the missingnumber HE7
3.OA.5: Apply properties of operations asstrategies to multiply and divide.
Area models and the distributive property1. Multiply one-digit numbers by two-digit numbers
using area models I V9Q
2. Multiply one-digit numbers by two-digit numbersusing area models II QXM
3. Multiply one-digit numbers by three-digitnumbers using area models I KLZ
4. Multiply one-digit numbers by three-digitnumbers using area models II HQP
Visit IXL's interactive skill plan at www.ixl.com/math/skill-plans/tests-of-adult-basic-education-math
© 2020 IXL Learning. Visit IXL.com today! p. 13
Properties of multiplication5. Properties of multiplication MPE
6. Distributive property: find the missingfactor 7VP
7. Multiply using the distributive property 6W7
8. Solve using properties of multiplication YPF
Relationship between multiplication and division9. Relate multiplication and division 67L
3.OA.6: Understand division as an unknown-factorproblem.
1. Relate multiplication and division for groups FTU
2. Relate multiplication and division for arrays XSK
3.OA.7: Fluently multiply and divide within 100,using strategies such as the relationship betweenmultiplication and division (e.g., knowing that 8 × 5= 40, one knows 40 ÷ 5 = 8) or properties ofoperations. By the end of Grade 3, know frommemory all products of two one-digit numbers.
Multiplication skill builders1. Multiply by 0 BGK
2. Multiply by 1 CRE
3. Multiply by 2 94M
4. Multiply by 3 38K
5. Multiply by 4 5U6
6. Multiply by 5 Y9E
7. Multiply by 6 SX6
8. Multiply by 7 9PT
9. Multiply by 8 SMR
10. Multiply by 9 SUH
11. Multiply by 10 6YD
Multiplication facts for 2, 3, 4, 5, and 1012. Multiplication tables for 2, 3, 4, 5, and 10 DW5
13. Multiplication facts for 2, 3, 4, 5, and 10: trueor false? 87M
14. Multiplication facts for 2, 3, 4, 5, and 10:sorting REN
Multiplication facts for 6, 7, 8, and 915. Multiplication tables for 6, 7, 8, and 9 XT7
16. Multiplication facts for 6, 7, 8, and 9: true orfalse? EEY
17. Multiplication facts for 6, 7, 8, and 9:sorting TZ7
Visit IXL's interactive skill plan at www.ixl.com/math/skill-plans/tests-of-adult-basic-education-math
© 2020 IXL Learning. Visit IXL.com today! p. 14
Multiplication facts up to 1018. Multiplication tables up to 10 PNV
19. Multiplication facts up to 10: true or false? 3K8
20. Multiplication facts up to 10: sorting SUJ
21. Multiplication facts up to 10: select the missingfactors WZA
22. Multiplication sentences up to 10: true orfalse? MTU
23. Squares up to 10 x 10 GMM
24. Multiplication input/output tables 8CM
Division skill builders25. Divide by 1 VTL
26. Divide by 2 ANU
27. Divide by 3 PCL
28. Divide by 4 QGT
29. Divide by 5 C9M
30. Divide by 6 97S
31. Divide by 7 D2F
32. Divide by 8 CVD
33. Divide by 9 RTB
34. Divide by 10 YRG
Division facts for 2, 3, 4, 5, and 1035. Division facts for 2, 3, 4, 5, and 10 2JB
36. Division facts for 2, 3, 4, 5, and 10: true orfalse? YSD
37. Division facts for 2, 3, 4, 5, and 10:sorting XDN
Division facts for 6, 7, 8, and 938. Division facts for 6, 7, 8, and 9 U2C
39. Division facts for 6, 7, 8, and 9: true orfalse? DBB
40. Division facts for 6, 7, 8, and 9: sorting KQR
Division facts up to 1041. Division facts up to 10 M8T
42. Division facts up to 10: true or false? MPV
43. Division facts up to 10: sorting CYJ
Visit IXL's interactive skill plan at www.ixl.com/math/skill-plans/tests-of-adult-basic-education-math
© 2020 IXL Learning. Visit IXL.com today! p. 15
44. Division facts up to 10: select the missingnumbers FPA
45. Division sentences up to 10: true orfalse? GMU
46. Division input/output tables RK9
Mixed operations47. Multiplication and division facts up to 5: true or
false? 6HS
48. Multiplication and division facts up to 10: trueor false? WQT
Properties of operations49. Solve using properties of multiplication YPF
3.OA.8: Solve two-step word problems using thefour operations. Represent these problems usingequations with a letter standing for the unknownquantity. Assess the reasonableness of answersusing mental computation and estimationstrategies including rounding.
One-step problems1. Addition, subtraction, multiplication, and division
facts 7RF
2. Complete the addition, subtraction,multiplication, or division sentence N5U
3. Add, subtract, multiply, and divide AZH
4. Addition, subtraction, multiplication, and divisionword problems X8W
Order of operations5. Perform multiple operations with whole
numbers UKB
Two-step word problems6. Two-step addition and subtraction word
problems CBA
7. Two-step multiplication and division wordproblems 8FP
8. Two-step mixed operation word problems SRL
Variable equations9. Solve for the variable: addition and subtraction
only BQT
10. Solve for the variable D65
11. Write variable equations to represent wordproblems: multiplication and division only ZNN
12. Write variable equations to represent wordproblems U6P
Visit IXL's interactive skill plan at www.ixl.com/math/skill-plans/tests-of-adult-basic-education-math
© 2020 IXL Learning. Visit IXL.com today! p. 16
Geometry
Estimation13. Rounding - nearest ten or hundred only Q65
14. Rounding KMD
15. Solve inequalities using estimation NMD
16. Two-step word problems: identify reasonableanswers V5A
3.OA.9: Identify arithmetic patterns (includingpatterns in the addition table or multiplicationtable), and explain them using properties ofoperations.
1. Addition patterns over increasing placevalues 5RG
2. Subtraction patterns over increasing placevalues VKD
3. Multiplication input/output tables: find therule D5U
4. Division input/output tables: find the rule 4Z8
Standard IXL skills
2.G.1: Recognize and draw shapes having specifiedattributes, such as a given number of angles or agiven number of equal faces. Identify triangles,quadrilaterals, pentagons, hexagons, and cubes.
Two-dimensional shapes1. Name the two-dimensional shape 2FK
2. Select two-dimensional shapes DWL
3. Count sides and vertices EAQ
4. Compare sides and vertices G9N
5. Count vertices, edges, and faces X72
Three-dimensional shapes6. Compare vertices, edges, and faces DPT
7. Identify faces of three-dimensional shapes QSR
8. Identify shapes traced from solids MRD
3.G.1: Understand that shapes in differentcategories (e.g., rhombuses, rectangles, and others)may share attributes (e.g., having four sides), andthat the shared attributes can define a largercategory (e.g., quadrilaterals). Recognizerhombuses, rectangles, and squares as examples ofquadrilaterals, and draw examples of quadrilateralsthat do not belong to any of these subcategories.
1. Parallel sides in quadrilaterals 6E9
2. Identify parallelograms V6L
3. Identify trapezoids 67A
4. Identify rectangles 47T
5. Identify rhombuses ZSD
6. Classify quadrilaterals CNJ
Visit IXL's interactive skill plan at www.ixl.com/math/skill-plans/tests-of-adult-basic-education-math
© 2020 IXL Learning. Visit IXL.com today! p. 17
Measurement and Data
3.G.2: Partition shapes into parts with equal areas.Express the area of each part as a unit fraction ofthe whole.
1. Identify equal parts FHY
2. Match unit fractions to models CPK
3. Make halves, thirds, and fourths HGP
4. Make sixths and eighths KTM
5. Make halves, thirds, fourths, sixths, andeighths JHE
2.G.3: Partition circles and rectangles into two,three, or four equal shares, describe the sharesusing the words halves, thirds, half of, a third of,etc., and describe the whole as two halves, threethirds, four fourths. Recognize that equal shares ofidentical wholes need not have the same shape.
1. Equal parts H5R
2. Make halves XME
3. Make thirds 65F
4. Make fourths QZ9
5. Make halves, thirds, and fourths QD2
6. Make halves, thirds, and fourths in differentways 6SG
Standard IXL skills
3.MD.1: Tell and write time to the nearest minuteand measure time intervals in minutes. Solve wordproblems involving addition and subtraction oftime intervals in minutes, e.g., by representing theproblem on a number line diagram.
Tell and write time1. Match clocks and times LPT
2. Match analog and digital clocks L5U
3. Read clocks and write times 5ZQ
4. A.M. or P.M. MUC
5. Write times EQS
Time intervals6. Elapsed time U7B
7. Elapsed time word problems I V9D
2.MD.2: Measure the length of an object twice,using length units of different lengths for the twomeasurements; describe how the twomeasurements relate to the size of the unit chosen.
1. Which customary unit of length is appropriate:inches, feet, or yards? GKJ
2. Which metric unit of length is appropriate? SKH
3.MD.2: Measure and estimate liquid volumes andmasses of objects using standard units of grams (g),kilograms (kg), and liters (l). Add, subtract, multiply,or divide to solve one-step word problemsinvolving masses or volumes that are given in the
1. Measurement word problems VPW
2. Which metric unit of weight is appropriate? PTF
Visit IXL's interactive skill plan at www.ixl.com/math/skill-plans/tests-of-adult-basic-education-math
© 2020 IXL Learning. Visit IXL.com today! p. 18
same units, e.g., by using drawings (such as abeaker with a measurement scale) to represent theproblem.
2.MD.3: Estimate lengths using units of inches,feet, centimeters, and meters.
1. Which customary unit of length is appropriate:inches or feet? 5XG
2. Which metric unit of length is appropriate? SKH
3.MD.3: Draw a scaled picture graph and a scaledbar graph to represent a data set with severalcategories. Solve one- and two-step "how manymore" and "how many less" problems usinginformation presented in scaled bar graphs.
Picture graphs1. Create pictographs AVG
Bar graphs2. Use bar graphs to solve problems BCJ
3. Create bar graphs RPF
2.MD.4: Measure to determine how much longerone object is than another, expressing the lengthdifference in terms of a standard length unit.
1. Customary units of length: word problems GSF
2. Metric units of length: word problems KJ5
3.MD.4: Generate measurement data by measuringlengths using rulers marked with halves andfourths of an inch. Show the data by making a lineplot, where the horizontal scale is marked off inappropriate units-whole numbers, halves, orquarters.
1. Create line plots with fractions YUR
2. Measure using an inch ruler LC2
3.MD.5b: Recognize area as an attribute of planefigures and understand concepts of areameasurement. A plane figure which can be coveredwithout gaps or overlaps by n unit squares is said tohave an area of n square units.
1. Create figures with a given area Z2H
2. Create rectangles with a given area V73
2.MD.6: Represent whole numbers as lengths from0 on a number line diagram with equally spacedpoints corresponding to the numbers 0, 1, 2,..., andrepresent whole-number sums and differenceswithin 100 on a number line diagram.
1. Number lines - up to 100 T6D
2. Number lines - up to 1,000 KFQ
3. Addition sentences using number lines - sums upto 20 FXF
4. Subtraction sentences using number lines - up to20 GUZ
3.MD.7a: Find the area of a rectangle with whole-number side lengths by tiling it, and show that thearea is the same as would be found by multiplying
1. Create rectangles with a given area V73
Visit IXL's interactive skill plan at www.ixl.com/math/skill-plans/tests-of-adult-basic-education-math
© 2020 IXL Learning. Visit IXL.com today! p. 19
the side lengths.
3.MD.7b: Multiply side lengths to find areas ofrectangles with whole-number side lengths in thecontext of solving real world and mathematicalproblems, and represent whole-number productsas rectangular areas in mathematical reasoning.
1. Make arrays to model multiplication PPR
2. Find the area of rectangles and squares 8KJ
3. Find the area of rectangles: word problems 5HA
3.MD.7c: Use tiling to show in a concrete case thatthe area of a rectangle with whole-number sidelengths a and b + c is the sum of a × b and a × c.Use area models to represent the distributiveproperty in mathematical reasoning.
3.MD.7d: Recognize area as additive. Find areas ofrectilinear figures by decomposing them into non-overlapping rectangles and adding the areas of thenon-overlapping parts, applying this technique tosolve real world problems.
1. Find the area of complex figures SGP
3.MD.8: Solve real world and mathematicalproblems involving perimeters of polygons,including finding the perimeter given the sidelengths, finding an unknown side length, andexhibiting rectangles with the same perimeter anddifferent areas or with the same area and differentperimeters.
Find perimeter1. Perimeter of rectangles ZJT
2. Perimeter of rectilinear shapes 65Z
3. Perimeter of polygons LLY
Find an unknown side4. Perimeter: find the missing side length T2V
Real-world problems5. Perimeter: word problems CLD
Relationship between area and perimeter6. Relationship between area and perimeter I ZWF
7. Relationship between area and perimeter II KNR
2.MD.10: Draw a picture graph and a bar graph(with single-unit scale) to represent a data set withup to four categories. Solve simple put-together,take-apart, and compare problems usinginformation presented in a bar graph.
Picture graphs1. Create pictographs I NM5
2. Interpret pictographs I QDT
Bar graphs3. Create bar graphs 6KD
4. Which bar graph is correct? BMG
Visit IXL's interactive skill plan at www.ixl.com/math/skill-plans/tests-of-adult-basic-education-math
© 2020 IXL Learning. Visit IXL.com today! p. 20
5. Interpret bar graphs II 8CH
Visit IXL's interactive skill plan at www.ixl.com/math/skill-plans/tests-of-adult-basic-education-math
© 2020 IXL Learning. Visit IXL.com today! p. 21
Level M Measurement and Data
Standard IXL skills
5.MD.1: Convert among different-sized standardmeasurement units within a given measurementsystem (e.g., convert 5 cm to 0.05 m), and use theseconversions in solving multi-step, real worldproblems.
Customary units1. Compare and convert customary units of
length 7E8
2. Compare and convert customary units ofweight XST
3. Compare and convert customary units ofvolume 96B
4. Compare and convert customary units 8DZ
5. Conversion tables - customary units 7HU
6. Compare customary units by multiplying WU8
7. Convert customary units involvingfractions WCM
8. Convert mixed customary units E8E
9. Add and subtract mixed customary units DJC
Metric units10. Compare and convert metric units of
length 8MZ
11. Compare and convert metric units ofweight TM9
12. Compare and convert metric units ofvolume 27C
13. Compare and convert metric units PJL
14. Convert metric units involving decimals 2Q8
15. Conversion tables - metric units 7QS
16. Convert metric mixed units LCG
17. Add and subtract metric mixed units 6LL
Multi-step word problems18. Multi-step problems with customary unit
conversions MJ9
19. Multi-step problems with metric unitconversions X5T
20. Multi-step problems with customary or metricunit conversions ST6
Visit IXL's interactive skill plan at www.ixl.com/math/skill-plans/tests-of-adult-basic-education-math
© 2020 IXL Learning. Visit IXL.com today! p. 22
5.MD.2: Make a line plot to display a data set ofmeasurements in fractions of a unit (1/2, 1/4, 1/8).Use operations on fractions for this grade to solveproblems involving information presented in lineplots.
1. Create and interpret line plots withfractions XBS
5.MD.4: Measure volumes by counting unit cubes,using cubic cm, cubic in, cubic ft, and improvisedunits.
1. Volume of rectangular prisms made of unitcubes WG8
4.MD.5: Recognize angles as geometric shapes thatare formed wherever two rays share a commonendpoint, and understand concepts of anglemeasurement:
1. Angles of 90, 180, 270, and 360 degrees UQV
2. Measure angles on a circle RK8
3. Estimate angle measurements LUJ
5.MD.5a: Find the volume of a right rectangularprism with whole-number side lengths by packingit with unit cubes, and show that the volume is thesame as would be found by multiplying the edgelengths, equivalently by multiplying the height bythe area of the base. Represent threefold whole-number products as volumes, e.g., to represent theassociative property of multiplication.
1. Volume of rectangular prisms made of unitcubes WG8
5.MD.5b: Apply the formulas V = l × w × h and V =b × h for rectangular prisms to find volumes of rightrectangular prisms with whole-number edgelengths in the context of solving real world andmathematical problems.
1. Volume of cubes and rectangular prisms TFL
2. Volume of cubes and rectangular prisms: wordproblems NR6
5.MD.5c: Recognize volume as additive. Findvolumes of solid figures composed of two non-overlapping right rectangular prisms by adding thevolumes of the non-overlapping parts, applyingthis technique to solve real world problems.
1. Volume of irregular figures made of unitcubes WCE
4.MD.6: Measure angles in whole-number degreesusing a protractor. Sketch angles of specifiedmeasure.
1. Measure angles with a protractor NCN
Visit IXL's interactive skill plan at www.ixl.com/math/skill-plans/tests-of-adult-basic-education-math
© 2020 IXL Learning. Visit IXL.com today! p. 23
Number and Operations-Fractions
4.MD.7: Recognize angle measure as additive.When an angle is decomposed into non-overlapping parts, the angle measure of the wholeis the sum of the angle measures of the parts. Solveaddition and subtraction problems to findunknown angles on a diagram in real world andmathematical problems, e.g., by using an equationwith a symbol for the unknown angle measure.
1. Adjacent angles VJY
Standard IXL skills
4.NF.1: Explain why a fraction a/b is equivalent to afraction (n × a)/(n × b) by using visual fractionmodels, with attention to how the number and sizeof the parts differ even though the two fractionsthemselves are the same size. Use this principle torecognize and generate equivalent fractions.
1. Find equivalent fractions using area models HYC
2. Graph equivalent fractions on number lines WQL
3. Equivalent fractions: find the missing numeratoror denominator 7CY
4. Fractions with denominators of 10 and 100 VLP
5.NF.2: Solve word problems involving additionand subtraction of fractions referring to the samewhole, including cases of unlike denominators, e.g.,by using visual fraction models or equations torepresent the problem. Use benchmark fractionsand number sense of fractions to estimate mentallyand assess the reasonableness of answers.
Like denominators1. Add and subtract fractions with like
denominators: word problems 7YQ
Unlike denominators2. Add and subtract fractions with unlike
denominators: word problems TCD
3. Add 3 or more fractions: word problems BFQ
4. Add and subtract mixed numbers: wordproblems 6BH
5. Add and subtract fractions in recipes W9K
6. Estimate sums and differences of fractions usingbenchmarks 9JR
4.NF.3a: Understand addition and subtraction offractions as joining and separating parts referringto the same whole.
1. Add fractions with like denominators PDU
2. Subtract fractions with like denominators AVF
4.NF.3b: Decompose a fraction into a sum offractions with the same denominator in more thanone way, recording each decomposition by anequation. Justify decompositions, e.g., by using a
1. Decompose fractions into unit fractions XHG
2. Decompose fractions N2Z
3. Decompose fractions multiple ways UEW
Visit IXL's interactive skill plan at www.ixl.com/math/skill-plans/tests-of-adult-basic-education-math
© 2020 IXL Learning. Visit IXL.com today! p. 24
visual fraction model.
4.NF.3c: Add and subtract mixed numbers with likedenominators, e.g., by replacing each mixednumber with an equivalent fraction, and/or byusing properties of operations and the relationshipbetween addition and subtraction.
Fractions1. Add fractions with like denominators using
number lines 6QH
2. Subtract fractions with like denominators usingnumber lines MJX
3. Add and subtract fractions with likedenominators using number lines GAK
Mixed numbers4. Add and subtract mixed numbers with like
denominators 9AS
4.NF.3d: Solve word problems involving additionand subtraction of fractions referring to the samewhole and having like denominators, e.g., by usingvisual fraction models and equations to representthe problem.
1. Add and subtract fractions with likedenominators: word problems XBR
2. Add and subtract fractions with likedenominators in recipes LYR
5.NF.3: Interpret a fraction as division of thenumerator by the denominator (a/b = a ÷ b). Solveword problems involving division of wholenumbers leading to answers in the form of fractionsor mixed numbers, e.g., by using visual fractionmodels or equations to represent the problem.
1. Fractions review PCF
2. Fractions of a whole: word problems 2VP
3. Understand fractions as division: wordproblems CTD
4. Divide fractions by whole numbers FKT
4.NF.4a: Understand a fraction a/b as a multiple of1/b.
1. Multiply unit fractions by whole numbers usingnumber lines XKJ
2. Multiply unit fractions by whole numbers usingmodels 8J3
3. Multiples of unit fractions: find the missingnumbers VYG
4. Multiply unit fractions by whole numbers:sorting VGC
4.NF.4b: Understand a multiple of a/b as a multipleof 1/b, and use this understanding to multiply afraction by a whole number.
Multiply with models1. Multiply fractions by whole numbers using
number lines Q7B
2. Multiply fractions by whole numbers usingmodels Y5C
3. Multiply fractions by whole numbers usingmodels: complete the equation CZ7
Visit IXL's interactive skill plan at www.ixl.com/math/skill-plans/tests-of-adult-basic-education-math
© 2020 IXL Learning. Visit IXL.com today! p. 25
Multiply without models4. Multiples of fractions: find the missing
numbers RSY
5. Multiply fractions by whole numbers:sorting X48
6. Multiply unit fractions by whole numbers EXQ
7. Multiply fractions by whole numbers JLH
4.NF.4c: Solve word problems involvingmultiplication of a fraction by a whole number, e.g.,by using visual fraction models and equations torepresent the problem.
1. Multiply unit fractions by whole numbers: wordproblems DSB
2. Multiply fractions by whole numbers: wordproblems LX8
3. Multiply fractions and mixed numbers by wholenumbers in recipes 7B3
5.NF.4a: Interpret the product (a/b) × q as a partsof a partition of q into b equal parts; equivalently,as the result of a sequence of operations a × q ÷ b.
Multiply fractions by whole numbers1. Multiply fractions by whole numbers using
arrays RB9
2. Multiply fractions by whole numbers I QFQ
3. Multiply fractions by whole numbers II 69L
4. Multiply fractions by whole numbers:input/output tables 2KU
5. Fractions of a number AHX
6. Fractions of a number: word problems LPC
Multiply two fractions7. Multiply two unit fractions using models HDJ
8. Multiply two fractions using models UAY
9. Multiply two fractions 8KV
Multiply mixed numbers10. Multiply a mixed number by a whole
number 6Q4
11. Multiply a mixed number by a fraction G7W
12. Multiply two mixed numbers P73
5.NF.4b: Find the area of a rectangle with fractionalside lengths by tiling it with unit squares of theappropriate unit fraction side lengths, and showthat the area is the same as would be found bymultiplying the side lengths. Multiply fractionalside lengths to find areas of rectangles, and
1. Multiply two unit fractions using models HDJ
2. Multiply two fractions using models: fill in themissing factor AT7
3. Multiply two fractions using models UAY
4. Understand fraction multiplication and area NFK
5. Multiply fractions to find area SEZ
Visit IXL's interactive skill plan at www.ixl.com/math/skill-plans/tests-of-adult-basic-education-math
© 2020 IXL Learning. Visit IXL.com today! p. 26
represent fraction products as rectangular areas. 6. Area of squares and rectangles withfractions PMV
7. Area and perimeter: word problems MHV
5.NF.5b: Interpret multiplication as scaling(resizing), by explaining why multiplying a givennumber by a fraction greater than 1 results in aproduct greater than the given number(recognizing multiplication by whole numbersgreater than 1 as a familiar case); explaining whymultiplying a given number by a fraction less than1 results in a product smaller than the givennumber; and relating the principle of fractionequivalence a/b = (n×a)/(n×b) to the effect ofmultiplying a/b by 1.
1. Multiply two fractions using models UAY
2. Scaling whole numbers by fractions: justify youranswer Q7M
5.NF.6: Solve real world problems involvingmultiplication of fractions and mixed numbers, e.g.,by using visual fraction models or equations torepresent the problem.
Fractions1. Multiply fractions by whole numbers: word
problems U2V
2. Multiply two fractions: word problems 38Y
Mixed numbers3. Multiplication with mixed numbers: word
problems 5W6
4. Multiply fractions and mixed numbers inrecipes QHN
4.NF.7: Compare two decimals to hundredths byreasoning about their size. Recognize thatcomparisons are valid only when the two decimalsrefer to the same whole. Record the results ofcomparisons with the symbols >, =, or <, and justifythe conclusions, e.g., by using a visual model.
Compare decimals1. Compare money amounts EAL
2. Compare decimals on number lines T2W
3. Compare decimal numbers DY5
Compare decimals and fractions4. Compare decimals and fractions on number
lines 8YG
5. Compare decimals and fractions TB7
5.NF.7a: Interpret division of a unit fraction by anon-zero whole number, and compute suchquotients.
1. Divide unit fractions by whole numbers GXY
Visit IXL's interactive skill plan at www.ixl.com/math/skill-plans/tests-of-adult-basic-education-math
© 2020 IXL Learning. Visit IXL.com today! p. 27
Statistics and Probability
Numbers and Operations in Base Ten
5.NF.7b: Interpret division of a whole number by aunit fraction, and compute such quotients.
1. Divide whole numbers by unit fractions usingmodels VDU
2. Divide whole numbers by unit fractions 3L9
5.NF.7c: Solve real world problems involvingdivision of unit fractions by non-zero wholenumbers and division of whole numbers by unitfractions, e.g., by using visual fraction models andequations to represent the problem.
1. Divide unit fractions and whole numbers: wordproblems G2N
Standard IXL skills
6.SP.1: Recognize a statistical question as one thatanticipates variability in the data related to thequestion and accounts for it in the answers.
1. Identify statistical questions PT7
6.SP.2: Understand that a set of data collected toanswer a statistical question has a distributionwhich can be described by its center, spread, andoverall shape.
1. Create line plots 5HD
2. Describe distributions in line plots RZL
3. Interpret stem-and-leaf plots 2E8
4. Create stem-and-leaf plots 7VE
5. Box plots E9F
6. Calculate quartiles and interquartile range MNV
6.SP.4: Display numerical data in plots on anumber line, including dot plots, histograms, andbox plots.
1. Create line plots 5HD
2. Create histograms 7NG
3. Box plots E9F
Standard IXL skills
4.NBT.1: Recognize that in a multi-digit wholenumber, a digit in one place represents ten timeswhat it represents in the place to its right.
1. Value of a digit WLP
4.NBT.3: Use place value understanding to roundmulti-digit whole numbers to any place.
Rounding1. Rounding: up to millions place E6V
2. Rounding input/output tables CT2
Visit IXL's interactive skill plan at www.ixl.com/math/skill-plans/tests-of-adult-basic-education-math
© 2020 IXL Learning. Visit IXL.com today! p. 28
Estimate sums3. Estimate sums VMD
4. Estimate sums: word problems SB9
Estimate differences5. Estimate differences QJY
6. Estimate differences: word problems GWS
Estimate products7. Estimate products: multiply by 1-digit
numbers WDG
8. Estimate products: multiply by 2-digitnumbers 2TR
9. Estimate products: word problems WGL
Estimate quotients10. Divide by 1-digit numbers: pick the better
estimate 2FS
Mixed operations11. Estimate sums, differences, products, and
quotients: word problems CRD
5.NBT.3a: Read and write decimals to thousandthsusing base-ten numerals, number names, andexpanded form, e.g., 347.392 = 3 × 100 + 4 × 10 + 7× 1 + 3 × (1/10) + 9 × (1/100) + 2 × (1/1000).
Base-ten numerals1. What decimal number is illustrated? CTP
Number names2. Understanding decimals expressed in words F9G
Expanded form3. Convert decimals between standard and
expanded form WTU
4. Convert decimals between standard andexpanded form using fractions BLQ
5.NBT.3b: Compare two decimals to thousandthsbased on meanings of the digits in each place,using >, =, and < symbols to record the results ofcomparisons.
1. Compare decimals on number lines CUF
2. Compare decimal numbers NSG
3. Compare decimals using grids QTG
4.NBT.4: Fluently add and subtract multi-digitwhole numbers using the standard algorithm.
Addition1. Add two numbers up to five digits RG2
2. Add two numbers up to five digits: wordproblems ZPY
Visit IXL's interactive skill plan at www.ixl.com/math/skill-plans/tests-of-adult-basic-education-math
© 2020 IXL Learning. Visit IXL.com today! p. 29
3. Addition: fill in the missing digits VQH
4. Properties of addition D9R
5. Add 3 or more numbers up to millions ZMC
6. Choose numbers with a particular sum P5U
Subtraction7. Choose numbers with a particular
difference XEV
8. Subtract numbers up to five digits VP2
9. Subtract numbers up to five digits: wordproblems R9N
10. Subtraction: fill in the missing digits UXK
Mixed operations11. Mentally add and subtract numbers ending in
zeroes WEG
5.NBT.4: Use place value understanding to rounddecimals to any place.
1. Round decimals MPB
2. Estimate sums and differences of decimals usingrounding YGG
4.NBT.5: Multiply a whole number of up to fourdigits by a one-digit whole number, and multiplytwo two-digit numbers, using strategies based onplace value and the properties of operations.Illustrate and explain the calculation by usingequations, rectangular arrays, and/or area models.
Multiplication facts1. Multiplication facts to 12 FW9
Multiply 1-digit numbers using models2. Multiply 1-digit numbers by 2-digit numbers
using area models I VCM
3. Multiply 1-digit numbers by 2-digit numbersusing area models II HZX
4. Multiply 1-digit numbers by 3-digit or 4-digitnumbers using area models I RP9
5. Multiply 1-digit numbers by 3-digit or 4-digitnumbers using area models II WKL
Multiply 1-digit numbers6. Multiply 1-digit numbers by 2-digit
numbers GDW
7. Multiply 1-digit numbers by 3-digit or 4-digitnumbers PPM
Properties of multiplication8. Properties of multiplication B6N
Visit IXL's interactive skill plan at www.ixl.com/math/skill-plans/tests-of-adult-basic-education-math
© 2020 IXL Learning. Visit IXL.com today! p. 30
9. Distributive property: find the missingfactor US7
10. Multiply using the distributive property LXG
Multiply 2-digit numbers using models11. Multiply 2-digit numbers by 2-digit numbers
using area models I ASZ
12. Multiply 2-digit numbers by 2-digit numbersusing area models II 8K7
13. Box multiplication ERB
14. Lattice multiplication LBW
Multiply 2-digit numbers15. Multiply a 2-digit number by a 2-digit number:
complete the missing steps XQ8
16. Multiply a 2-digit number by a 2-digitnumber MLC
17. Multiply a 2-digit number by a 2-digit number:word problems GZG
Place value strategies18. Multiplication patterns over increasing place
values Y5K
19. Multiply numbers ending in zeroes 7NS
20. Multiply numbers ending in zeroes: wordproblems K98
5.NBT.5: Fluently multiply multi-digit wholenumbers using the standard algorithm.
Multiply by 2-digit numbers1. Multiply by 2-digit numbers: complete the
missing steps 9LX
2. Multiply 2-digit numbers by 2-digit numbers LLJ
3. Multiply 2-digit numbers by 3-digit numbers JHB
4. Multiply 2-digit numbers by larger numbers 9VQ
5. Multiply by 2-digit numbers: word problems J95
Multiply by 3-digit numbers6. Multiply by 3-digit numbers NSP
Multiply three or more numbers7. Multiply three or more numbers up to 2 digits
each CKE
8. Multiply three numbers up to 3 digits each 7JG
Visit IXL's interactive skill plan at www.ixl.com/math/skill-plans/tests-of-adult-basic-education-math
© 2020 IXL Learning. Visit IXL.com today! p. 31
9. Multiply three or more numbers: wordproblems 2AK
4.NBT.6: Find whole-number quotients andremainders with up to four-digit dividends andone-digit divisors, using strategies based on placevalue, the properties of operations, and/or therelationship between multiplication and division.Illustrate and explain the calculation by usingequations, rectangular arrays, and/or area models.
Properties of division1. Properties of division TNJ
Divide 2-digit numbers2. Divide 2-digit numbers by 1-digit numbers 4T7
3. Divide 2-digit numbers by 1-digit numbers: wordproblems QMT
4. Divide 2-digit numbers by 1-digit numbers:complete the table UFM
5. Divide 2-digit numbers by 1-digit numbers:interpret remainders 5WV
6. Choose numbers with a particular quotient MYU
Divide larger numbers7. Divide larger numbers by 1-digit numbers GE8
8. Divide larger numbers by 1-digit numbers: wordproblems DKK
9. Divide larger numbers by 1-digit numbers:complete the table 2UB
10. Divide larger numbers by 1-digit numbers:interpret remainders J8D
Place value strategies11. Division patterns over increasing place
values Z5Y
12. Divide numbers ending in zeroes by 1-digitnumbers 2K3
5.NBT.7: Add, subtract, multiply, and dividedecimals to hundredths, using concrete models ordrawings and strategies based on place value,properties of operations, and/or the relationshipbetween addition and subtraction; relate thestrategy to a written method and explain thereasoning used.
Add and subtract1. Add decimal numbers BDX
2. Subtract decimal numbers SC8
3. Add and subtract decimal numbers 7VJ
4. Add and subtract decimals: word problems 35U
5. Choose decimals with a particular sum ordifference ARW
6. Complete the decimal addition or subtractionsentence ZKV
7. Add and subtract money amounts A8R
8. Add and subtract money: word problems DLC
Visit IXL's interactive skill plan at www.ixl.com/math/skill-plans/tests-of-adult-basic-education-math
© 2020 IXL Learning. Visit IXL.com today! p. 32
Multiply decimals and whole numbers9. Multiply a decimal by a one-digit whole
number XNY
10. Multiply a decimal by a multi-digit wholenumber PGM
11. Multiply decimals and whole numbers: wordproblems 83A
12. Multiply three or more numbers, one of whichis a decimal ZNW
13. Multiply money amounts: word problems U5L
Multiply two decimals14. Complete the decimal multiplication sentence
using grids R9T
15. Multiply two decimals: products up tohundredths FLL
16. Multiply two decimals: products up tothousandths TDG
Divide17. Division with decimal quotients J9Z
18. Division with decimal quotients androunding M9X
19. Division with decimal quotients: wordproblems Z2X
20. Divide money amounts: word problems 2RU
21. Unit prices C5N
22. Divide by decimals 8FT
Mixed operations23. Add, subtract, multiply, and divide
decimals NZG
24. Add, subtract, multiply, and divide decimals:word problems 7SX
25. Keeping financial records FAZ
26. Multiply two decimals: where does the decimalpoint go? 6FA
Visit IXL's interactive skill plan at www.ixl.com/math/skill-plans/tests-of-adult-basic-education-math
© 2020 IXL Learning. Visit IXL.com today! p. 33
Operations and Algebraic Thinking
Standard IXL skills
4.OA.1: Interpret a multiplication equation as acomparison, e.g., interpret 35 = 5 × 7 as a statementthat 35 is 5 times as many as 7 and 7 times as manyas 5. Represent verbal statements of multiplicativecomparisons as multiplication equations.
1. Compare numbers using multiplication GGE
5.OA.1: Use parentheses, brackets, or braces innumerical expressions, and evaluate expressionswith these symbols.
1. Evaluate numerical expressions Z5N
2. Evaluate numerical expressions withparentheses HGW
4.OA.2: Multiply or divide to solve word problemsinvolving multiplicative comparison, e.g., by usingdrawings and equations with a symbol for theunknown number to represent the problem,distinguishing multiplicative comparison fromadditive comparison.
1. Compare numbers using multiplication: wordproblems QKB
2. Comparison word problems: addition ormultiplication? YCW
4.OA.3: Solve multistep word problems posed withwhole numbers and having whole-number answersusing the four operations, including problems inwhich remainders must be interpreted. Representthese problems using equations with a letterstanding for the unknown quantity. Assess thereasonableness of answers using mentalcomputation and estimation strategies includingrounding.
Interpret remainders1. Divide 2-digit numbers by 1-digit numbers:
interpret remainders 5WV
2. Divide larger numbers by 1-digit numbers:interpret remainders J8D
Mixed operations3. Word problems with extra or missing
information X64
4. Multi-step word problems EA9
5. Multi-step word problems involvingremainders SLS
6. Multi-step word problems: identify reasonableanswers K6X
Variable equations7. Write variable equations to represent word
problems 5SJ
Visit IXL's interactive skill plan at www.ixl.com/math/skill-plans/tests-of-adult-basic-education-math
© 2020 IXL Learning. Visit IXL.com today! p. 34
Geometry
4.OA.4: Find all factor pairs for a whole number inthe range 1-100. Recognize that a whole number isa multiple of each of its factors. Determine whethera given whole number in the range 1-100 is amultiple of a given one-digit number. Determinewhether a given whole number in the range 1-100is prime or composite.
Prime or composite1. Prime and composite: up to 20 TNF
2. Prime and composite: up to 100 L9R
Multiples3. Choose the multiples of a given number up to
10 EFB
Factors4. Identify factors 2S9
5. Choose numbers with a particular product U9N
4.OA.5: Generate a number or shape pattern thatfollows a given rule. Identify apparent features ofthe pattern that were not explicit in the rule itself.
Make patterns1. Find the next shape in a pattern KG8
2. Make a repeating pattern V68
3. Use a rule to complete a number pattern 5P2
Identify features of patterns4. What is true about the given pattern? C9H
5. What is true about the pattern made by therule? 35J
Standard IXL skills
4.G.1: Draw points, lines, line segments, rays,angles (right, acute, obtuse), and perpendicular andparallel lines. Identify these in two-dimensionalfigures.
1. Points, lines, line segments, rays, andangles 9MK
2. Parallel, perpendicular, and intersectinglines 8VQ
3. Parallel sides in quadrilaterals 58M
4. Acute, right, obtuse, and straight angles R5K
5.G.1: Use a pair of perpendicular number lines,called axes, to define a coordinate system, with theintersection of the lines (the origin) arranged tocoincide with the 0 on each line and a given pointin the plane located by using an ordered pair ofnumbers, called its coordinates. Understand thatthe first number indicates how far to travel fromthe origin in the direction of one axis, and thesecond number indicates how far to travel in the
1. Objects on a coordinate plane NTR
Visit IXL's interactive skill plan at www.ixl.com/math/skill-plans/tests-of-adult-basic-education-math
© 2020 IXL Learning. Visit IXL.com today! p. 35
Expressions and Equations
direction of the second axis, with the conventionthat the names of the two axes and the coordinatescorrespond (e.g., x-axis and x-coordinate, y-axis andy-coordinate).
5.G.3: Understand that attributes belonging to acategory of two-dimensional figures also belong toall subcategories of that category.
1. Parallel sides in quadrilaterals AJV
2. Identify parallelograms AJB
3. Identify rectangles XAE
4. Identify rhombuses C66
5. Classify quadrilaterals 6ZQ
6.G.4: Represent three-dimensional figures usingnets made up of rectangles and triangles, and usethe nets to find the surface area of these figures.Apply these techniques in the context of solvingreal-world and mathematical problems.
1. Nets of three-dimensional figures 8KP
2. Surface area of cubes and rectangularprisms RMG
3. Surface area of triangular prisms UGR
Standard IXL skills
6.EE.2a: Write expressions that record operationswith numbers and with letters standing fornumbers.
1. Write variable expressions: one operation F5B
2. Write variable expressions: two operations CX9
6.EE.2b: Identify parts of an expression usingmathematical terms (sum, term, product, factor,quotient, coefficient); view one or more parts of anexpression as a single entity.
1. Sort factors of numerical expressions TXX
2. Identify terms and coefficients 9KE
3. Sort factors of variable expressions QXS
6.EE.2c: Evaluate expressions at specific values oftheir variables. Include expressions that arise fromformulas used in real-world problems. Performarithmetic operations, including those involvingwhole-number exponents, in the conventionalorder when there are no parentheses to specify aparticular order (Order of Operations).
Order of operations1. Evaluate numerical expressions involving whole
numbers MLU
2. Evaluate numerical expressions involvingdecimals YEE
3. Evaluate numerical expressions involvingfractions WNE
Evaluate variable expressions4. Evaluate variable expressions with whole
numbers Q8Z
5. Evaluate multi-variable expressions HC9
Visit IXL's interactive skill plan at www.ixl.com/math/skill-plans/tests-of-adult-basic-education-math
© 2020 IXL Learning. Visit IXL.com today! p. 36
6. Evaluate variable expressions with decimals,fractions, and mixed numbers 49T
Real-world formulas7. Convert between Celsius and Fahrenheit UJK
6.EE.3: Apply the properties of operations togenerate equivalent expressions.
1. Multiply using the distributive property 2HH
2. Factor using the distributive property PGZ
3. Write equivalent expressions usingproperties R8H
6.EE.4: Identify when two expressions areequivalent (i.e., when the two expressions namethe same number regardless of which value issubstituted into them).
1. Identify equivalent expressions I KFG
2. Identify equivalent expressions II HTG
6.EE.5: Understand solving an equation orinequality as a process of answering a question:which values from a specified set, if any, make theequation or inequality true? Use substitution todetermine whether a given number in a specifiedset makes an equation or inequality true.
1. Does x satisfy an equation? VMB
2. Which x satisfies an equation? VG8
3. Solutions to inequalities P9N
6.EE.6: Use variables to represent numbers andwrite expressions when solving a real-world ormathematical problem; understand that a variablecan represent an unknown number, or, dependingon the purpose at hand, any number in a specifiedset.
1. Write variable expressions: word problems 6LQ
6.EE.7: Solve real-world and mathematicalproblems by writing and solving equations of theform x + p = q and px = q for cases in which p, qand x are all nonnegative rational numbers.
Solve equations1. Model and solve equations using algebra
tiles G6Z
2. Solve one-step equations with wholenumbers WLR
3. Solve one-step multiplication and divisionequations with decimals, fractions, and wholenumbers T53
4. Write and solve equations that representdiagrams FSQ
Real-world problems5. Solve one-step equations: word problems BXY
Visit IXL's interactive skill plan at www.ixl.com/math/skill-plans/tests-of-adult-basic-education-math
© 2020 IXL Learning. Visit IXL.com today! p. 37
Ratios and Proportional Relationships
6. Solve one-step addition and subtractionequations with whole numbers JXM
7. Solve one-step multiplication and divisionequations with whole numbers JUA
6.EE.8: Write an inequality of the form x > c or x < cto represent a constraint or condition in a real-world or mathematical problem. Recognize thatinequalities of the form x > c or x < c have infinitelymany solutions; represent solutions of suchinequalities on number line diagrams.
1. Graph inequalities on number lines CXX
2. Write inequalities from number lines N99
6.EE.9: Use variables to represent two quantities ina real-world problem that change in relationship toone another; write an equation to express onequantity, thought of as the dependent variable, interms of the other quantity, thought of as theindependent variable. Analyze the relationshipbetween the dependent and independentvariables using graphs and tables, and relate theseto the equation.
Independent and dependent variables1. Identify independent and dependent variables:
word problems 9UJ
Find values2. Find a value using two-variable equations 46Q
3. Find a value using two-variable equations: wordproblems XRJ
4. Complete a table for a two-variablerelationship TZB
Make and interpret graphs5. Identify the graph of an equation WN7
6. Graph a two-variable equation TJA
7. Interpret a graph: word problems KZD
Write equations8. Solve word problems by finding two-variable
equations UJQ
9. Write a two-variable equation 2RE
10. Write an equation from a graph using atable BCM
Standard IXL skills
6.RP.2: Understand the concept of a unit rate a/bassociated with a ratio a:b with b is not equal to 0,and use rate language in the context of a ratiorelationship.
1. Unit rates JSZ
Visit IXL's interactive skill plan at www.ixl.com/math/skill-plans/tests-of-adult-basic-education-math
© 2020 IXL Learning. Visit IXL.com today! p. 38
The Number System
Standard IXL skills
6.NS.1: Interpret and compute quotients offractions, and solve word problems involvingdivision of fractions by fractions, e.g., by usingvisual fraction models and equations to representthe problem.
Divide fractions1. Reciprocals 5BT
2. Divide fractions DS2
3. Divide fractions and mixed numbers N2B
Word problems4. Divide fractions by whole numbers in
recipes ENK
5. Divide fractions and mixed numbers: wordproblems WAH
6.NS.2: Fluently divide multi-digit numbers usingthe standard algorithm.
1. Division patterns with zeroes CEZ
2. Divide numbers ending in zeroes: wordproblems 95H
3. Divide whole numbers - 2-digit divisors FL2
4. Divide whole numbers - 3-digit divisors STW
6.NS.4: Find the greatest common factor of twowhole numbers less than or equal to 100 and theleast common multiple of two whole numbers lessthan or equal to 12. Use the distributive property toexpress a sum of two whole numbers 1-100 with acommon factor as a multiple of a sum of two wholenumbers with no common factor.
1. Identify factors BGJ
2. Greatest common factor AMB
3. Least common multiple NGA
4. GCF and LCM: word problems ZB8
Visit IXL's interactive skill plan at www.ixl.com/math/skill-plans/tests-of-adult-basic-education-math
© 2020 IXL Learning. Visit IXL.com today! p. 39
Level D Geometry
Standard IXL skills
7.G.1: Solve problems involving scale drawings ofgeometric figures, including computing actuallengths and areas from a scale drawing andreproducing a scale drawing at a different scale.
1. Scale drawings: word problems 84H
2. Scale drawings: scale factor word problems KCM
3. Perimeter and area: changes in scale ZC6
8.G.2: Understand that a two-dimensional figure iscongruent to another if the second can beobtained from the first by a sequence of rotations,reflections, and translations; given two congruentfigures, describe a sequence that exhibits thecongruence between them.
1. Describe a sequence of transformations XPK
2. Congruence statements and correspondingparts LPP
3. Side lengths and angle measures of congruentfigures DSQ
4. Similar and congruent figures U85
7.G.4: Know the formulas for the area andcircumference of a circle and use them to solveproblems; give an informal derivation of therelationship between the circumference and areaof a circle.
1. Parts of a circle 2VL
2. Area of circles YA8
3. Circumference of circles KS7
4. Circles: word problems P56
8.G.4: Understand that a two-dimensional figure issimilar to another if the second can be obtainedfrom the first by a sequence of rotations,reflections, translations, and dilations; given twosimilar two-dimensional figures, describe asequence that exhibits the similarity betweenthem.
1. Similar and congruent figures U85
2. Side lengths and angle measures of similarfigures 79Y
7.G.5: Use facts about supplementary,complementary, vertical, and adjacent angles in amulti-step problem to write and solve simpleequations for an unknown angle in a figure.
1. Identify complementary, supplementary,vertical, and adjacent angles HKG
2. Find measures of complementary,supplementary, vertical, and adjacent anglesCST
7.G.6: Solve real-world and mathematical problemsinvolving area, volume and surface area of two- andthree-dimensional objects composed of triangles,quadrilaterals, polygons, cubes, and right prisms.
Area1. Area of rectangles and parallelograms 62H
2. Area of triangles and trapezoids ENE
Visit IXL's interactive skill plan at www.ixl.com/math/skill-plans/tests-of-adult-basic-education-math
© 2020 IXL Learning. Visit IXL.com today! p. 40
Expressions and Equations
3. Area of compound figures with triangles MRG
4. Area between two shapes RKC
Volume5. Volume of cubes and prisms URT
Surface areaSurface area
6. Surface area of cubes and prisms RFP
8.G.7: Apply the Pythagorean Theorem todetermine unknown side lengths in right trianglesin real-world and mathematical problems in twoand three dimensions.
1. Pythagorean theorem: find the length of thehypotenuse 7ZL
2. Pythagorean theorem: find the missing leglength Y9C
3. Pythagorean theorem: find the missing leg orhypotenuse length MTM
4. Pythagorean theorem: find the perimeter VGE
5. Pythagorean theorem: word problems 87U
8.G.8: Apply the Pythagorean Theorem to find thedistance between two points in a coordinatesystem.
1. Find the distance between two points ZBP
Standard IXL skills
8.EE.1: Know and apply the properties of integerexponents to generate equivalent numericalexpressions.
Positive exponents1. Exponents with negative bases ZQC
Negative exponents2. Understanding negative exponents YBB
3. Evaluate negative exponents WGS
Exponential expressions4. Evaluate expressions using properties of
exponents UTY
5. Identify equivalent expressions involvingexponents I VLM
6. Identify equivalent expressions involvingexponents II QDM
Visit IXL's interactive skill plan at www.ixl.com/math/skill-plans/tests-of-adult-basic-education-math
© 2020 IXL Learning. Visit IXL.com today! p. 41
7.EE.2: Understand that rewriting an expression indifferent forms in a problem context can shed lighton the problem and how the quantities in it arerelated.
1. Identify equivalent linear expressions: wordproblems KWH
8.EE.2: Use square root and cube root symbols torepresent solutions to equations of the form x² = pand x³ = p, where p is a positive rational number.Evaluate square roots of small perfect squares andcube roots of small perfect cubes. Know that thesquare root of 2 is irrational.
Square roots1. Square roots of perfect squares 9RS
2. Positive and negative square roots 8TF
3. Relationship between squares and squareroots 8W2
4. Solve equations using square roots NNA
Cube roots5. Cube roots of positive perfect cubes RYG
6. Solve equations using cube roots TQ5
7.EE.3: Solve multi-step real-life and mathematicalproblems posed with positive and negative rationalnumbers in any form (whole numbers, fractions,and decimals), using tools strategically. Applyproperties of operations to calculate with numbersin any form; convert between forms as appropriate;and assess the reasonableness of answers usingmental computation and estimation strategies.
Order of operations1. Evaluate numerical expressions involving
integers 7YN
2. Evaluate numerical expressions involvingdecimals FNM
3. Evaluate numerical expressions involvingfractions XXQ
4. Evaluate numerical expressions involvingexponents D7P
Evaluate variable expressions5. Evaluate linear expressions UG6
6. Evaluate multi-variable expressions T56
7. Evaluate nonlinear expressions ZHY
Real-life problems8. Maps with decimal distances WT7
9. Maps with fractional distances KXP
10. Multi-step word problems JVU
8.EE.3: Use numbers expressed in the form of asingle digit times an integer power of 10 toestimate very large or very small quantities, and toexpress how many times as much one is than theother.
1. Convert between standard and scientificnotation H8A
2. Compare numbers written in scientificnotation RHT
Visit IXL's interactive skill plan at www.ixl.com/math/skill-plans/tests-of-adult-basic-education-math
© 2020 IXL Learning. Visit IXL.com today! p. 42
7.EE.4a: Solve word problems leading to equationsof the form px + q = r and p(x + q) = r, where p, q,and r are specific rational numbers. Solve equationsof these forms fluently. Compare an algebraicsolution to an arithmetic solution, identifying thesequence of the operations used in each approach.
Solve equations1. Model and solve equations using algebra
tiles EGK
2. Solve two-step equations QEB
3. Solve equations involving like terms VSW
4. Solve equations: complete the solution 66R
Word problems5. Solve equations: word problems D2Y
6. Solve word problems involving two-variableequations YJT
7.EE.4b: Solve word problems leading toinequalities of the form px + q > r or px + q < r,where p, q, and r are specific rational numbers.Graph the solution set of the inequality andinterpret it in the context of the problem.
One-step inequalities1. Solve one-step inequalities QWH
2. Graph solutions to one-step inequalities TFK
Two-step inequalities3. Solve two-step inequalities XGQ
4. Graph solutions to two-step inequalities 6TT
8.EE.5: Graph proportional relationships,interpreting the unit rate as the slope of the graph.Compare two different proportional relationshipsrepresented in different ways.
1. Find the constant of proportionality from atable ZCK
2. Find the constant of proportionality from agraph YMH
3. Graph proportional relationships MQD
8.EE.8a: Understand that solutions to a system oftwo linear equations in two variables correspond topoints of intersection of their graphs, becausepoints of intersection satisfy both equationssimultaneously.
1. Is (x, y) a solution to the system ofequations? N46
2. Solve a system of equations by graphing WV5
3. Find the number of solutions to a system ofequations by graphing AGZ
8.EE.8b: Solve systems of two linear equations intwo variables algebraically, and estimate solutionsby graphing the equations. Solve simple cases byinspection.
1. Find the number of solutions to a system ofequations UYM
2. Solve a system of equations usingsubstitution J8X
3. Solve a system of equations usingelimination ZQV
8.EE.8c: Solve real-world and mathematicalproblems leading to two linear equations in twovariables.
1. Solve a system of equations by graphing: wordproblems W9J
2. Solve a system of equations using substitution:word problems 9M8
Visit IXL's interactive skill plan at www.ixl.com/math/skill-plans/tests-of-adult-basic-education-math
© 2020 IXL Learning. Visit IXL.com today! p. 43
Ratios and Proportional Relationships
3. Solve a system of equations using elimination:word problems Z97
Standard IXL skills
7.RP.1: Compute unit rates associated with ratiosof fractions, including ratios of lengths, areas andother quantities measured in like or different units.
1. Unit prices N7G
7.RP.2a: Decide whether two quantities are in aproportional relationship, e.g., by testing forequivalent ratios in a table or graphing on acoordinate plane and observing whether the graphis a straight line through the origin.
Equivalent ratios1. Identify equivalent ratios ZFM
2. Equivalent ratios: word problems DJ8
Proportions3. Do the ratios form a proportion? MJQ
4. Do the ratios form a proportion: wordproblems SHV
Proportional relationships5. Identify proportional relationships by
graphing AAN
6. Identify proportional relationships from graphsand equations NB5
7. Identify proportional relationships fromtables 6V7
7.RP.2b: Identify the constant of proportionality(unit rate) in tables, graphs, equations, diagrams,and verbal descriptions of proportionalrelationships.
1. Find the constant of proportionality from atable LKZ
2. Find the constant of proportionality from agraph ZUT
7.RP.2c: Represent proportional relationships byequations.
Represent relationships1. Write equations for proportional relationships
from tables 6GU
2. Write equations for proportional relationshipsfrom graphs JKH
3. Write and solve equations for proportionalrelationships VKK
Solve proportional problems4. Solve proportions: word problems WB7
Visit IXL's interactive skill plan at www.ixl.com/math/skill-plans/tests-of-adult-basic-education-math
© 2020 IXL Learning. Visit IXL.com today! p. 44
5. Estimate population size using proportions 3C9
6. Percents of numbers and money amounts 93K
7. Percents of numbers: word problems EXE
8. Solve percent equations 67F
7.RP.2d: Explain what a point (x, y) on the graph ofa proportional relationship means in terms of thesituation, with special attention to the points (0, 0)and (1, r) where r is the unit rate.
1. Interpret graphs of proportionalrelationships RMH
6.RP.3a: Make tables of equivalent ratios relatingquantities with whole-number measurements, findmissing values in the tables, and plot the pairs ofvalues on the coordinate plane. Use tables tocompare ratios.
Equivalent ratios1. Identify equivalent ratios 2LM
2. Write an equivalent ratio NEA
3. Equivalent ratios: word problems RLZ
Ratio tables4. Ratio tables PPF
6.RP.3b: Solve unit rate problems including thoseinvolving unit pricing and constant speed.
1. Ratios and rates: word problems ZB9
2. Unit prices UKD
3. Unit prices with fractions and decimals 9NF
6.RP.3c: Find a percent of a quantity as a rate per100 (e.g., 30% of a quantity means 30/100 times thequantity); solve problems involving finding thewhole, given a part and the percent.
Represent percentages1. What percentage is illustrated? RHG
Percents of numbers2. Percents of numbers and money amounts 8N4
3. Percents of numbers: word problems BBY
Find the whole4. Find the total given a part and a percent D6L
Real-world problems5. Which is the better coupon? WLZ
6. Sale prices 5GH
6.RP.3d: Use ratio reasoning to convertmeasurement units; manipulate and transformunits appropriately when multiplying or dividingquantities.
Convert units1. Convert and compare customary units 9TJ
2. Convert, compare, add, and subtract mixedcustomary units 97L
3. Customary unit conversions involving fractionsand mixed numbers UHE
Visit IXL's interactive skill plan at www.ixl.com/math/skill-plans/tests-of-adult-basic-education-math
© 2020 IXL Learning. Visit IXL.com today! p. 45
Statistics and Probability
4. Convert and compare metric units FDH
5. Convert between customary and metricsystems 5CF
Multiply or divide quantities6. Multiply and divide mixed customary units GVX
7. Unit prices with customary unitconversions RW2
7.RP.3: Use proportional relationships to solvemultistep ratio and percent problems.
Unit prices1. Unit prices with unit conversions KJ8
2. Unit prices: find the total price ENH
Percent of change3. Percent of change BL7
4. Percent of change: word problems 54S
5. Percent of change: find the original amount wordproblems RCM
Percent problems6. Solve percent equations: word problems JS6
7. Percent of a number: tax, discount, andmore SPN
8. Which is the better coupon? QT6
9. Find the percent: tax, discount, and more PBM
10. Sale prices: find the original price BDA
11. Multi-step problems with percents ZHX
Simple interest12. Simple interest E7Y
Standard IXL skills
8.SP.1: Construct and interpret scatter plots forbivariate measurement data to investigate patternsof association between two quantities. Describepatterns such as clustering, outliers, positive ornegative association, linear association, andnonlinear association.
1. Identify trends with scatter plots GZE
2. Outliers in scatter plots RP8
Visit IXL's interactive skill plan at www.ixl.com/math/skill-plans/tests-of-adult-basic-education-math
© 2020 IXL Learning. Visit IXL.com today! p. 46
7.SP.2: Use data from a random sample to drawinferences about a population with an unknowncharacteristic of interest. Generate multiplesamples (or simulated samples) of the same size togauge the variation in estimates or predictions.
1. Estimate population size using proportions 3C9
8.SP.2: Know that straight lines are widely used tomodel relationships between two quantitativevariables. For scatter plots that suggest a linearassociation, informally fit a straight line, andinformally assess the model fit by judging thecloseness of the data points to the line.
1. Scatter plots: line of best fit ZQ6
8.SP.3: Use the equation of a linear model to solveproblems in the context of bivariate measurementdata, interpreting the slope and intercept.
1. Scatter plots: line of best fit ZQ6
7.SP.4: Use measures of center and measures ofvariability for numerical data from random samplesto draw informal comparative inferences about twopopulations.
1. Calculate mean, median, mode, and range U2A
2. Interpret charts and graphs to find mean,median, mode, and range CYK
3. Mean, median, mode, and range: find themissing number ZWS
4. Changes in mean, median, mode, andrange 9UP
8.SP.4: Understand that patterns of association canalso be seen in bivariate categorical data bydisplaying frequencies and relative frequencies in atwo-way table. Construct and interpret a two-waytable summarizing data on two categoricalvariables collected from the same subjects. Userelative frequencies calculated for rows or columnsto describe possible association between the twovariables.
1. Find probabilities using two-way frequencytables CRV
6.SP.5d: Summarize numerical data sets in relationto their context, such as by relating the choice ofmeasures of center and variability to the shape ofthe data distribution and the context in which thedata were gathered.
1. Describe distributions in line plots RZL
Visit IXL's interactive skill plan at www.ixl.com/math/skill-plans/tests-of-adult-basic-education-math
© 2020 IXL Learning. Visit IXL.com today! p. 47
The Number System
7.SP.5: Understand that the probability of a chanceevent is a number between 0 and 1 that expressesthe likelihood of the event occurring. Largernumbers indicate greater likelihood. A probabilitynear 0 indicates an unlikely event, a probabilityaround 1/2 indicates an event that is neitherunlikely nor likely, and a probability near 1indicates a likely event.
1. Probability of simple events ZZB
7.SP.7a: Develop a uniform probability model byassigning equal probability to all outcomes, anduse the model to determine probabilities of events.
1. Probability of simple events ZZB
2. Probability of simple events and oppositeevents F88
7.SP.7b: Develop a probability model (which maynot be uniform) by observing frequencies in datagenerated from a chance process.
1. Experimental probability 9AA
7.SP.8a: Understand that, just as with simpleevents, the probability of a compound event is thefraction of outcomes in the sample space for whichthe compound event occurs.
Simple and opposite events1. Probability of simple events and opposite
events F88
Compound events2. Probability of compound events YPQ
3. Identify independent and dependent events 9M6
4. Probability of independent and dependentevents NED
7.SP.8b: Represent sample spaces for compoundevents using methods such as organized lists,tables and tree diagrams. For an event described ineveryday language (e.g., "rolling double sixes"),identify the outcomes in the sample space whichcompose the event.
1. Compound events: find the number ofoutcomes HZR
2. Compound events: find the number of sums SCV
3. Counting principle EKX
Standard IXL skills
6.NS.5: Understand that positive and negativenumbers are used together to describe quantitieshaving opposite directions or values (e.g.,temperature above/below zero, elevation
1. Understanding integers 8EP
Visit IXL's interactive skill plan at www.ixl.com/math/skill-plans/tests-of-adult-basic-education-math
© 2020 IXL Learning. Visit IXL.com today! p. 48
above/below sea level, credits/debits,positive/negative electric charge); use positive andnegative numbers to represent quantities in real-world contexts, explaining the meaning of 0 ineach situation.
6.NS.6a: Recognize opposite signs of numbers asindicating locations on opposite sides of 0 on thenumber line; recognize that the opposite of theopposite of a number is the number itself, e.g., -(-3)= 3, and that 0 is its own opposite.
1. Absolute value 2YZ
2. Rational numbers: find the sign V2E
6.NS.6b: Understand signs of numbers in orderedpairs as indicating locations in quadrants of thecoordinate plane; recognize that when two orderedpairs differ only by signs, the locations of the pointsare related by reflections across one or both axes.
1. Quadrants F5T
6.NS.6c: Find and position integers and otherrational numbers on a horizontal or vertical numberline diagram; find and position pairs of integers andother rational numbers on a coordinate plane.
Number lines1. Decimal number lines AXN
2. Integers on number lines K6J
3. Graph integers on horizontal and verticalnumber lines 36C
Coordinate plane4. Objects on a coordinate plane GFN
5. Graph points on a coordinate plane VHQ
6.NS.7a: Interpret statements of inequality asstatements about the relative position of twonumbers on a number line diagram.
1. Compare integers 4G6
6.NS.7b: Write, interpret, and explain statements oforder for rational numbers in real-world contexts.
1. Compare rational numbers KS2
2. Put rational numbers in order 5AX
3. Compare temperatures above and belowzero UVD
6.NS.7c: Understand the absolute value of arational number as its distance from 0 on thenumber line; interpret absolute value as magnitudefor a positive or negative quantity in a real-worldsituation.
1. Understanding absolute value TLR
2. Absolute value 2YZ
3. Absolute value and integers: wordproblems 9CW
4. Absolute value of rational numbers KGX
Visit IXL's interactive skill plan at www.ixl.com/math/skill-plans/tests-of-adult-basic-education-math
© 2020 IXL Learning. Visit IXL.com today! p. 49
6.NS.7d: Distinguish comparisons of absolutevalue from statements about order.
1. Integer inequalities with absolute values 4A8
2. Put rational numbers in order 5AX
3. Absolute value of rational numbers KGX
6.NS.8: Solve real-world and mathematicalproblems by graphing points in all four quadrantsof the coordinate plane. Include use of coordinatesand absolute value to find distances betweenpoints with the same first coordinate or the samesecond coordinate.
1. Coordinate planes as maps N96
2. Distance between two points A7P
3. Follow directions on a coordinate plane XDQ
7.NS.1a: Describe situations in which oppositequantities combine to make 0.
1. Absolute value and opposite integers NSB
7.NS.1b: Understand p + q as the number located adistance |q| from p, in the positive or negativedirection depending on whether q is positive ornegative. Show that a number and its oppositehave a sum of 0 (are additive inverses). Interpretsums of rational numbers by describing real-worldcontexts.
1. Integer addition rules ERH
2. Integer addition and subtraction rules 6EV
3. Apply addition and subtraction rules Y8T
7.NS.1c: Understand subtraction of rationalnumbers as adding the additive inverse, p - q = p +(-q). Show that the distance between two rationalnumbers on the number line is the absolute valueof their difference, and apply this principle in real-world contexts.
1. Integer subtraction rules QZA
2. Integer addition and subtraction rules 6EV
3. Apply addition and subtraction rules Y8T
7.NS.1d: Apply properties of operations asstrategies to add and subtract rational numbers.
Model with counters1. Add integers using counters FTM
2. Subtract integers using counters BGL
3. Add and subtract integers using counters B8X
Integers4. Add integers QFU
5. Subtract integers HEU
6. Add and subtract integers FNS
Positive rational numbers7. Add and subtract decimals BP2
Visit IXL's interactive skill plan at www.ixl.com/math/skill-plans/tests-of-adult-basic-education-math
© 2020 IXL Learning. Visit IXL.com today! p. 50
8. Add and subtract fractions NGL
9. Add and subtract mixed numbers 9BE
Rational numbers10. Add and subtract positive and negative
decimals WCZ
11. Add and subtract positive and negativefractions SD2
12. Add and subtract rational numbers GKU
7.NS.2a: Understand that multiplication isextended from fractions to rational numbers byrequiring that operations continue to satisfy theproperties of operations, particularly thedistributive property, leading to products such as (-1)(-1) = 1 and the rules for multiplying signednumbers. Interpret products of rational numbers bydescribing real-world contexts.
1. Integer multiplication rules K7U
2. Integer multiplication and division rules 5R8
3. Apply multiplication and division rules V5V
7.NS.2b: Understand that integers can be divided,provided that the divisor is not zero, and everyquotient of integers (with non-zero divisor) is arational number. If p and q are integers, then -(p/q)= (-p)/q = p/(-q). Interpret quotients of rationalnumbers by describing real-world contexts.
1. Integer division rules T9Q
2. Integer multiplication and division rules 5R8
3. Apply multiplication and division rules V5V
4. Equal quotients of integers 2QY
7.NS.2c: Apply properties of operations asstrategies to multiply and divide rational numbers.
Integers1. Multiply integers DQT
2. Divide integers CTV
3. Multiply and divide integers R8D
Positive decimals4. Multiply decimals TCU
5. Divide decimals 6HB
Positive fractions6. Multiply fractions and whole numbers ZNQ
7. Multiply fractions PDK
8. Multiply mixed numbers JNY
9. Divide fractions X7A
10. Divide mixed numbers UPF
Visit IXL's interactive skill plan at www.ixl.com/math/skill-plans/tests-of-adult-basic-education-math
© 2020 IXL Learning. Visit IXL.com today! p. 51
Functions
Rational numbers11. Multiply and divide positive and negative
decimals K7V
12. Multiply and divide positive and negativefractions 2B5
13. Multiply and divide rational numbers BXW
7.NS.2d: Convert a rational number to a decimalusing long division; know that the decimal form ofa rational number terminates in 0s or eventuallyrepeats.
1. Classify numbers WVQ
2. Convert fractions or mixed numbers todecimals M2D
8.NS.2: Use rational approximations of irrationalnumbers to compare the size of irrational numbers,locate them approximately on a number linediagram, and estimate the value of expressions(e.g., pi²).
1. Estimate positive and negative square roots 96T
2. Estimate cube roots RLC
Standard IXL skills
8.F.3: Interpret the equation y = mx + b as defininga linear function, whose graph is a straight line;give examples of functions that are not linear.
1. Graph a line from an equation in slope-interceptform W5E
2. Identify linear and nonlinear functions: graphsand equations XB8
8.F.4: Construct a function to model a linearrelationship between two quantities. Determinethe rate of change and initial value of the functionfrom a description of a relationship or from two (x,y) values, including reading these from a table orfrom a graph. Interpret the rate of change andinitial value of a linear function in terms of thesituation it models, and in terms of its graph or atable of values.
Proportional relationships1. Write equations for proportional relationships
from tables S69
2. Write equations for proportional relationshipsfrom graphs G7N
Linear relationships3. Write a linear equation from a slope and y-
intercept WHP
4. Write a linear equation from a graph WHM
5. Write a linear equation from a slope and apoint VKP
6. Write a linear equation from two points 2R9
7. Write a linear function from a table UYY
8. Write linear functions: word problems YK6
Visit IXL's interactive skill plan at www.ixl.com/math/skill-plans/tests-of-adult-basic-education-math
© 2020 IXL Learning. Visit IXL.com today! p. 52
Rate of change9. Find the slope of a graph D7M
10. Find the slope from two points ZAC
11. Slope-intercept form: find the slope and y-intercept U55
12. Constant rate of change ZPF
13. Graph a line using slope FSV
8.F.5: Describe qualitatively the functionalrelationship between two quantities by analyzing agraph (e.g., where the function is increasing ordecreasing, linear or nonlinear). Sketch a graph thatexhibits the qualitative features of a function thathas been described verbally.
1. Write linear functions: word problems YK6
Visit IXL's interactive skill plan at www.ixl.com/math/skill-plans/tests-of-adult-basic-education-math
© 2020 IXL Learning. Visit IXL.com today! p. 53
Level A Geometry
Standard IXL skills
G.CO.1: Know precise definitions of angle, circle,perpendicular line, parallel line, and line segment,based on the undefined notions of point, line,distance along a line, and distance around a circulararc.
1. Angle vocabulary 9U2
G.SRT.5: Use congruence and similarity criteria fortriangles to solve problems and to proverelationships in geometric figures.
Congruent triangles1. SSS and SAS Theorems 48Q
2. ASA and AAS Theorems N94
3. SSS, SAS, ASA, and AAS Theorems LER
4. SSS Theorem in the coordinate plane C5G
Isosceles, equilateral, and right triangles5. Congruency in isosceles and equilateral
triangles HPR
6. Proofs involving isosceles triangles V45
7. Hypotenuse-Leg Theorem VQJ
Similar triangles8. Similar triangles and indirect measurement 9CR
9. Similarity rules for triangles XJQ
10. Triangle Proportionality Theorem 6WA
Proofs involving congruent triangles11. Proving triangles congruent by SSS and
SAS VVZ
12. Proving triangles congruent by ASA andAAS 23Z
13. Proving triangles congruent by SSS, SAS, ASA,and AAS SZL
14. Proofs involving corresponding parts ofcongruent triangles AKL
Proofs involving similar triangles15. Prove similarity statements ETX
Visit IXL's interactive skill plan at www.ixl.com/math/skill-plans/tests-of-adult-basic-education-math
© 2020 IXL Learning. Visit IXL.com today! p. 54
Numbers and Quantity
16. Prove proportions or angle congruences usingsimilarity DDY
G.GMD.3: Use volume formulas for cylinders,pyramids, cones, and spheres to solve problems.
1. Volume BK9
2. Volume of prisms and cylinders N5F
3. Volume of pyramids and cones 7J3
4. Volume of spheres 62N
G.MG.2: Apply concepts of density based on areaand volume in modeling situations (e.g., personsper square mile, BTUs per cubic foot).
1. Calculate density, mass, and volume YKJ
Standard IXL skills
N.RN.2: Rewrite expressions involving radicals andrational exponents using the properties ofexponents.
1. Simplify radical expressions ZFF
2. Simplify radical expressions with variables 82V
3. Simplify radical expressions involvingfractions VRZ
4. Multiply radical expressions HMX
5. Add and subtract radical expressions DLV
6. Simplify radical expressions using thedistributive property 28V
7. Simplify radical expressions: mixed review YZC
N.Q.1: Use units as a way to understand problemsand to guide the solution of multi-step problems;choose and interpret units consistently in formulas;choose and interpret the scale and the origin ingraphs and data displays.
Scale drawings1. Scale drawings: word problems 8B7
Unit conversions2. Convert rates and measurements: customary
units TXC
3. Convert rates and measurements: metricunits 6W2
4. Unit prices with unit conversions LT6
5. Multi-step problems with unit conversions EHV
N.Q.3: Choose a level of accuracy appropriate tolimitations on measurement when reportingquantities.
Precision1. Precision QK9
Visit IXL's interactive skill plan at www.ixl.com/math/skill-plans/tests-of-adult-basic-education-math
© 2020 IXL Learning. Visit IXL.com today! p. 55
Algebra
Greatest possible error2. Greatest possible error TZC
3. Minimum and maximum area and volume 4V9
Percent error4. Percent error LNU
5. Percent error: area and volume XVT
Standard IXL skills
A.SSE.1a: Interpret parts of an expression, such asterms, factors, and coefficients.
1. Sort factors of variable expressions ML9
2. Polynomial vocabulary MTT
A.SSE.2: Use the structure of an expression toidentify ways to rewrite it.
Simplify variable expressions1. Simplify variable expressions using
properties HHR
2. Simplify variable expressions involving liketerms and the distributive property ZXX
Exponential expressions3. Evaluate expressions using properties of
exponents LRR
4. Identify equivalent expressions involvingexponents II RKA
5. Powers of monomials 7Q8
6. Factor out a monomial JZL
Radical expressions7. Simplify radical expressions ZFF
8. Simplify radical expressions with variables 82V
9. Simplify radical expressions involvingfractions VRZ
10. Simplify radical expressions: mixed review YZC
A.SSE.3a: Factor a quadratic expression to revealthe zeros of the function it defines.
1. Factor quadratics with leading coefficient 1 S9P
2. Factor quadratics with other leadingcoefficients 7ED
3. Factor quadratics: special cases 56E
4. Solve a quadratic equation by factoring CSS
Visit IXL's interactive skill plan at www.ixl.com/math/skill-plans/tests-of-adult-basic-education-math
© 2020 IXL Learning. Visit IXL.com today! p. 56
A.APR.1: Understand that polynomials form asystem analogous to the integers, namely, they areclosed under the operations of addition,subtraction, and multiplication; add, subtract, andmultiply polynomials.
Model polynomials1. Model polynomials with algebra tiles TYV
Addition and subtraction2. Add and subtract polynomials using algebra
tiles J7V
3. Add and subtract polynomials 5EK
4. Add polynomials to find perimeter 8AS
Multiplication5. Multiply a polynomial by a monomial G2G
6. Multiply two polynomials using algebratiles WR5
7. Multiply two binomials M7Q
8. Multiply two binomials: special cases 9JN
9. Multiply polynomials 58A
A.CED.1: Create equations and inequalities in onevariable and use them to solve problems.
Linear equations1. Write variable equations YVW
2. Model and solve equations using algebratiles GRH
3. Write and solve equations that representdiagrams GBC
4. Solve linear equations: word problems UFG
5. Consecutive integer problems HDF
6. Weighted averages: word problems 2TQ
Inequalities7. Write inequalities from graphs SEK
8. Write compound inequalities from graphs 6UV
A.CED.2: Create equations in two or more variablesto represent relationships between quantities;graph equations on coordinate axes with labelsand scales.
Direct and inverse variation1. Write direct variation equations Y6M
2. Write inverse variation equations ECT
3. Write and solve inverse variation equations UWS
Slope-intercept form4. Slope-intercept form: graph an equation UWB
5. Slope-intercept form: write an equation from agraph 9GW
6. Slope-intercept form: write an equation A42
Visit IXL's interactive skill plan at www.ixl.com/math/skill-plans/tests-of-adult-basic-education-math
© 2020 IXL Learning. Visit IXL.com today! p. 57
7. Slope-intercept form: write an equation from atable SSE
8. Slope-intercept form: write an equation from aword problem HWM
9. Write linear functions: word problems 9RQ
Standard form10. Write equations in standard form ESP
11. Standard form: graph an equation U6U
Point-slope form12. Point-slope form: graph an equation F8H
13. Point-slope form: write an equation PPE
Quadratic equations14. Graph quadratic functions in vertex form C7T
Linear, quadratic, and exponential equations15. Write linear, quadratic, and exponential
functions AFA
Absolute value equations16. Graph an absolute value function TD2
A.CED.3: Represent constraints by equations orinequalities, and by systems of equations and/orinequalities, and interpret solutions as viable ornon-viable options in a modeling context.
Linear inequalities1. Linear inequalities: word problems ZAY
Systems of equations2. Solve a system of equations by graphing: word
problems BVB
3. Solve a system of equations using substitution:word problems US9
4. Solve a system of equations using elimination:word problems NHR
5. Solve a system of equations using any method:word problems GDQ
A.REI.1: Explain each step in solving a simpleequation as following from the equality of numbersasserted at the previous step, starting from theassumption that the original equation has asolution. Construct a viable argument to justify asolution method.
1. Properties of equality H8Q
2. Identify equivalent equations XNQ
3. Solve equations: complete the solution EVP
Visit IXL's interactive skill plan at www.ixl.com/math/skill-plans/tests-of-adult-basic-education-math
© 2020 IXL Learning. Visit IXL.com today! p. 58
A.REI.3: Solve linear equations and inequalities inone variable, including equations with coefficientsrepresented by letters.
Multi-variable equations1. Rearrange multi-variable equations WSJ
Equations with models2. Model and solve equations using algebra
tiles GRH
3. Write and solve equations that representdiagrams GBC
Solve equations4. Solve one-step linear equations TXJ
5. Solve two-step linear equations QAK
6. Solve advanced linear equations 28N
7. Solve equations with variables on bothsides 7S7
8. Solve equations: complete the solution EVP
9. Solve linear equations: word problems UFG
10. Solve linear equations: mixed review DN6
Linear inequalities11. Identify solutions to inequalities 5UE
12. Solve one-step linear inequalities: addition andsubtraction RZV
13. Solve one-step linear inequalities:multiplication and division BRJ
14. Solve one-step linear inequalities EEX
15. Solve two-step linear inequalities NPZ
16. Solve advanced linear inequalities 9K8
Compound inequalities17. Solve compound inequalities GXA
A.REI.4a: Use the method of completing thesquare to transform any quadratic equation in xinto an equation of the form (x - p)2 = q that has thesame solutions. Derive the quadratic formula fromthis form.
1. Complete the square RD2
A.REI.4b: Solve quadratic equations by inspection(e.g., for x2 = 49), taking square roots, completingthe square, the quadratic formula and factoring, asappropriate to the initial form of the equation.
Square roots1. Solve a quadratic equation using square
roots ERF
Visit IXL's interactive skill plan at www.ixl.com/math/skill-plans/tests-of-adult-basic-education-math
© 2020 IXL Learning. Visit IXL.com today! p. 59
Recognize when the quadratic formula givescomplex solutions and write them as a ± bi for realnumbers a and b.
Factoring2. Solve a quadratic equation using the zero
product property TNM
3. Solve a quadratic equation by factoring CSS
Completing the square4. Complete the square RD2
5. Solve a quadratic equation by completing thesquare XCL
Quadratic formula6. Solve a quadratic equation using the quadratic
formula XCF
A.REI.6: Solve systems of linear equations exactlyand approximately (e.g., with graphs), focusing onpairs of linear equations in two variables.
Understand solutions1. Is (x, y) a solution to the system of
equations? LRL
Graphing2. Solve a system of equations by graphing TSS
3. Solve a system of equations by graphing: wordproblems BVB
4. Find the number of solutions to a system ofequations by graphing HJW
5. Find the number of solutions to a system ofequations ACN
6. Classify a system of equations by graphing T2D
Substitution7. Solve a system of equations using
substitution 8P9
8. Solve a system of equations using substitution:word problems US9
Elimination9. Solve a system of equations using
elimination A48
10. Solve a system of equations using elimination:word problems NHR
Any method11. Solve a system of equations using any
method HLV
Visit IXL's interactive skill plan at www.ixl.com/math/skill-plans/tests-of-adult-basic-education-math
© 2020 IXL Learning. Visit IXL.com today! p. 60
Functions
12. Solve a system of equations using any method:word problems GDQ
A.REI.10: Understand that the graph of anequation in two variables is the set of all itssolutions plotted in the coordinate plane, oftenforming a curve (which could be a line).
1. Relations: convert between tables, graphs,mappings, and lists of points RBG
2. Find values using function graphs QCG
3. Complete a function table from an equation Z73
4. Interpret the graph of a function: wordproblems STU
5. Complete a table and graph a linearfunction JFG
Standard IXL skills
F.IF.1: Understand that a function from one set(called the domain) to another set (called therange) assigns to each element of the domainexactly one element of the range. If f is a functionand x is an element of its domain, then f(x) denotesthe output of f corresponding to the input x. Thegraph of f is the graph of the equation y = f(x).
Domain and range1. Domain and range of relations 2CG
Independent and dependent variables2. Identify independent and dependent
variables N55
Identify functions3. Identify functions VLL
4. Identify functions: vertical line test HLX
Function tables and graphs5. Find values using function graphs QCG
6. Complete a function table from a graph HXF
7. Complete a function table from an equation Z73
8. Domain and range of exponential functions:equations DZE
9. Domain and range of absolute value functions:equations FCY
F.IF.2: Use function notation, evaluate functions forinputs in their domains, and interpret statementsthat use function notation in terms of a context.
Tables and graphs1. Find values using function graphs QCG
Evaluate a function2. Evaluate a function R96
3. Evaluate a function: plug in an expression VNZ
Visit IXL's interactive skill plan at www.ixl.com/math/skill-plans/tests-of-adult-basic-education-math
© 2020 IXL Learning. Visit IXL.com today! p. 61
4. Complete a function table from a graph HXF
5. Complete a function table from an equation Z73
Interpret function notation6. Interpret functions using everyday
language U98
7. Evaluate an exponential function D6H
8. Complete a function table: quadraticfunctions LFV
9. Complete a function table: absolute valuefunctions 2DH
F.IF.4: For a function that models a relationshipbetween two quantities, interpret key features ofgraphs and tables in terms of the quantities, andsketch graphs showing key features given a verbaldescription of the relationship.
Direct and inverse variation1. Identify proportional relationships PAV
2. Find the constant of variation 9TD
3. Graph a proportional relationship DAQ
4. Identify direct variation and inversevariation 9Y5
Linear functions5. Identify linear functions from graphs and
equations VMQ
6. Identify linear functions from tables F5G
7. Find the slope of a graph E7D
8. Slope-intercept form: find the slope and y-intercept R5T
9. Slope-intercept form: graph an equation UWB
10. Complete a table and graph a linearfunction JFG
11. Standard form: find x- and y-intercepts 8SN
12. Standard form: graph an equation U6U
13. Point-slope form: graph an equation F8H
14. Slopes of parallel and perpendicular lines ADB
Exponential functions15. Match exponential functions and graphs 72J
Quadratic functions16. Characteristics of quadratic functions:
graphs HW8
17. Characteristics of quadratic functions:equations YJZ
Visit IXL's interactive skill plan at www.ixl.com/math/skill-plans/tests-of-adult-basic-education-math
© 2020 IXL Learning. Visit IXL.com today! p. 62
18. Graph quadratic functions in vertex form C7T
Linear, quadratic, and exponential functions19. Identify linear, quadratic, and exponential
functions from graphs DHB
20. Identify linear, quadratic, and exponentialfunctions from tables SP5
Absolute value functions21. Graph an absolute value function TD2
Rational functions22. Rational functions: asymptotes and excluded
values B6J
F.IF.6: Calculate and interpret the average rate ofchange of a function (presented symbolically or asa table) over a specified interval. Estimate the rateof change from a graph.
Rate of change1. Rate of change: tables PLA
Constant of variation2. Find the constant of variation 9TD
Slope3. Find the slope of a graph E7D
4. Find the slope from two points MD5
5. Slope-intercept form: find the slope and y-intercept R5T
F.IF.7a: Graph linear and quadratic functions andshow intercepts, maxima, and minima.
Linear functions1. Slope-intercept form: graph an equation UWB
2. Standard form: graph an equation U6U
3. Point-slope form: graph an equation F8H
Quadratic functions4. Characteristics of quadratic functions:
graphs HW8
5. Graph quadratic functions in vertex form C7T
F.IF.7b: Graph square root, cube root, andpiecewise-defined functions, including stepfunctions and absolute value functions.
1. Graph an absolute value function TD2
2. Graph quadratic functions in vertex form C7T
F.IF.8b: Use the properties of exponents tointerpret expressions for exponential functions.
1. Evaluate an exponential function D6H
2. Match exponential functions and graphs 72J
Visit IXL's interactive skill plan at www.ixl.com/math/skill-plans/tests-of-adult-basic-education-math
© 2020 IXL Learning. Visit IXL.com today! p. 63
Statistics and Probability
F.IF.9: Compare properties of two functions eachrepresented in a different way (algebraically,graphically, numerically in tables, or by verbaldescriptions).
1. Compare linear functions: graphs andequations EA8
2. Compare linear functions: tables, graphs, andequations GD7
F.BF.1a: Determine an explicit expression, arecursive process, or steps for calculation from acontext.
Sequences1. Write variable expressions for arithmetic
sequences 5VF
2. Write variable expressions for geometricsequences XPC
3. Write a formula for a recursive sequence KP9
Linear, quadratic, and exponential functions4. Write linear, quadratic, and exponential
functions AFA
F.BF.1b: Combine standard function types usingarithmetic operations.
1. Add and subtract polynomials 5EK
2. Multiply polynomials 58A
3. Multiply and divide rational expressions LX9
4. Add and subtract rational expressions ELX
F.BF.1c: Compose functions. 1. Evaluate a function: plug in an expression VNZ
F.LE.1c: Recognize situations in which a quantitygrows or decays by a constant percent rate per unitinterval relative to another.
1. Exponential growth and decay: wordproblems UKG
2. Identify linear, quadratic, and exponentialfunctions from graphs DHB
3. Identify linear, quadratic, and exponentialfunctions from tables SP5
4. Exponential functions over unit intervals S7D
F.LE.5: Interpret the parameters in a linear orexponential function in terms of a context.
1. Solve linear equations: word problems UFG
2. Exponential growth and decay: wordproblems UKG
Standard IXL skills
S.ID.1: Represent data with plots on the realnumber line (dot plots, histograms, and box plots).
1. Create bar graphs, line graphs, andhistograms EF6
Visit IXL's interactive skill plan at www.ixl.com/math/skill-plans/tests-of-adult-basic-education-math
© 2020 IXL Learning. Visit IXL.com today! p. 64
S.ID.3: Interpret differences in shape, center, andspread in the context of the data sets, accountingfor possible effects of extreme data points(outliers).
1. Box plots YE9
2. Identify an outlier 87L
3. Identify an outlier and describe the effect ofremoving it XGC
S.ID.5: Summarize categorical data for twocategories in two-way frequency tables. Interpretrelative frequencies in the context of the data(including joint, marginal, and conditional relativefrequencies). Recognize possible associations andtrends in the data.
1. Find probabilities using two-way frequencytables 93R
2. Find conditional probabilities using two-wayfrequency tables BZZ
S.ID.7: Interpret the slope (rate of change) and theintercept (constant term) of a linear model in thecontext of the data.
1. Interpret regression lines SEQ
2. Analyze a regression line of a data set 8D8
S.ID.9: Distinguish between correlation andcausation.
Visit IXL's interactive skill plan at www.ixl.com/math/skill-plans/tests-of-adult-basic-education-math
© 2020 IXL Learning. Visit IXL.com today! p. 65
