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Milwaukee Public Schools Curriculum Guide - Grade 5 Everyday Mathematics 2008-2009

Curriculum Guide Everyday Math – Grade 5 Developed by the Milwaukee Mathematics Partnership with support 8/26/08 by the National Science Foundation under Grant No. 0314898.

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Everyday Mathematics Grade 5

Mathematics Curriculum Guides

Wisconsin

Mathematics Standard

MPS Learning Target

Wisconsin Assessment Descriptors for Mathematics

(For Beginning Grade 6) Curriculum

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A. Mathematical Processes

Note: Mathematical processes need to be embedded in all mathematical strands throughout the school year. Math processes are assessed on the WKCE-CRT and reported as a separate proficiency area. For example, students are asked to provide written justifications and explanations, pose problems, and represent concepts.

1) Reasoning: Use reasoning and logic to: • Perceive patterns • Identify relationships

• Formulate questions • Pose problems • Make conjectures • Justify strategies • Test reasonableness of results

2) Communication: Communicate mathematical ideas and reasoning using the vocabulary of mathematics in a variety of ways (e.g., using words, numbers, symbols, pictures, charts, tables, diagrams, graphs, and models).

3) Connections: Connect mathematics to the real world as well as within

mathematics. 4) Representations: Create and use representations to organize, record, and

communicate mathematical ideas. 5) Problem Solving: Solve and analyze routine and non-routine problems.



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Time Curricular Connections Units/Lessons

MPS Learning Targets Wisconsin State Framework Assessment Descriptors Connections District Model CABS

September 19 teaching days

Unit 1 Number Theory

1.1 Introduction to the Student Reference Book ( NO& R, G)

1.2 Rectangular Arrays (NO&R, AR)

1.3 Factors ( NO&R, AR)

1.4 The Factor Captor Game (NO&R)

1.5 Divisibility ( NO&R) 1.6 Prime and Composite

Numbers ( NO&R) 1.7 Square Numbers

( NO&R) 1.8 Unsquaring Numbers (NO& R) 1.9 Factor Strings and

Prime Factorization (NO&R)

1.10 Progress Check 1

Number Operations and Relationships #1 Pose real-world problems, and use strategies, including number theory concepts and place value, to compare numbers, make estimates, and solve single and multi-step word problems. (1.1, 1.3, 1.4, 1.5, 1.6, 1.7, 1.8, 1.9, 2.1, 2.2) Geometry #3 Describe, construct, and classify polygons and polyhedrons using properties (e.g., angles, lines of symmetry, parallel lines, similarity) of plane and coordinate geometry. (1.1) Algebraic Relationships Apply and justify use of equations, inequalities, properties (e.g., distributive, 4x27=4x25+4x2), and order of operations to represent and solve one-step and two-step problems with and without context. (1.2, 1.3)

Number Operations and Relationships B.a:1 Recognize and apply place-value concepts to whole numbers less than 10,000,000. (1.1)

B.a:2 Read, write, and represent numbers using words, numerals, pictures (base-ten blocks), number lines, arrays expanded forms (12,436=10,000+2,000+400+30+6), and symbolic reasoning e.g., 12,436=12,450-14. (1.1) B.a:4 Identify and use number theory concepts: • Prime and composite numbers • Divisibility potential of numbers (divisors1-10, 25) • Least common multiples through 24 Greatest common factors through 50 (1.1, 1.4, 1.5, 1.6, 1.7, 1.8, 1.9) B.b:16 Solve problems using basic multiplication and division facts.(1.1, 1.2, 1.3, 1.4, 1.5, 1.6, 1.7, 1.8, 1.9)

Geometry C.a:3 Classify plane figures by characteristics of angles (acute, obtuse, and right) and describe rays found in open-angle situations. (1.1)

Algebraic Relationships F.c:12 Use the commutative property of multiplication with positive single digits. (1.2, 1.3) F.c:13 Use the inverse relationship of division and multiplication with single whole digits. (1.3)

MPS Number Operations and Relationships

CABS #5 and #6



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September 19 teaching days

Unit 2 Estimation and

Computation

2.1 Estimation Challenge (NO& R, M)

2.2 Addition of whole Numbers and Decimals (NO&R)

2.3 Subtraction of Whole Numbers and Decimals (NO&R) 2.4 Addition and Subtraction Number Stories (NO&R, AR) 2.5 Estimate Your Reaction Time (NO&R, Stat/Prob) 2.6 Chance Events (NO&R, Stat/Prob) 2.7 Estimating Products (NO& R) 2.8 Multiplication of Whole Numbers and Decimals (NO&R) 2.9 The Lattice Method of Multiplication (NO&R) 2.10 Comparing Millions, Billions, and Trillions (NO&R) 2.11 Progress Check 2

Number Operations and Relationships #1 Pose real-world problems, and use strategies, including number theory concepts and place value, to compare numbers, make estimates, and solve single and multi-step word problems. (2.5, 2.7, 2.8, 2.10) Number Operations and Relationships #2 Generate and represent equivalent forms of commonly used fractions, decimals, and percents; estimate with benchmarks; and use strategies to compare, add, and subtract fractions and decimals with and without context. (2.1, 2.2, 2.3 2.5, 2.7, 2.8, 2.10, 3.1, 3.2) Measurement #5 Compare measurement attributes and elapsed time, explain estimates, selection of unit, and conversions of measures, and determine measurements (e.g., area, size of angles, elapsed time) with tools and scales to specified degrees of accuracy. (2.1) Statistics and Probability #6 Conduct data investigations, interpret and summarize (e.g., mean, median, mode, range) data sets and displays (e.g., line plots, Venn diagrams), and make context-based conclusions and predictions. (2.5, 2.6, 3.1, 3.2)

Number Operations and Relationships

B.a:1 Recognize and apply place-value concepts to whole numbers less than 10,000,000. (2.10) B.a:2 Recognize and apply place-value concepts to whole numbers less than 10,000,000. (2.10, 3.2) B.a: 12 Identify and represent equivalence between fractions, percents, and decimals. (2.6, 3.1) B.b:13 Use all operations in everyday situations to solve single or multi-step word problems. (2.2, 2.4, 3.2) B.b:14 Solve three and four-digit addition and subtraction with regrouping, multiplication of three-digit by two-digit numbers, division with single-digit divisors and four-digit dividends with two-step or mixed operation problems. (2.2, 2.3, 2.4, 2.8, 2.9) B.b:15 Compute with decimals in the context of money and make change. (2.3, 2.4) B.b:19 Estimate using basic whole number operations, benchmark fractions, and benchmark decimals. (2.1, 2.2, 2.5, 2.7, 2.8, 2.10) B.b:20 Determine reasonableness of answers.(2.1, 2.2, 2.7, 2.8, 2.10)

Measurement

D.a:3 Compare measurement attributes and elapsed time, explain estimates, selection of unit, and conversions of measures, and determine measurements (e.g., area, size of angles, elapsed time) with tools and scales to specified degrees of accuracy. (2.1)

MPS Stat & Prob CABS #9a & #9b



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Statistics and Probability #7 Describe the difference between theoretical and experimental probabilities, determine the likelihood and fairness of events, and explain why probabilities are represented as fractions and percents from 0 to 1. (2.6) Algebraic Relationships #9 Apply and justify use of equations, inequalities, properties (e.g., distributive, 4x27=4x25+4x2), and order of operations to represent and solve one-step and two-step problems with and without context. (2.4)

Statistics and Probability

E.a:2 Collect, organize, and display data in appropriate graphs or charts. (2.5, 2.6) E.a:3 Draw reasonable conclusions based on contextual data. (2.5, 2.6) E.a:6 Describe a given set of data of ten or fewer items/numbers using the terms mean, median, mode, and range to extract information from organized charts, tables, graphs, and Venn diagrams in problems with and without context. (2.6) E.b:7 Determine the likelihood of future events, predict outcomes of future events, and test predictions using data from a variety of sources. (2.6) E.b:9 Determine the probability of events in context using words, percents, or fractions. (2.6)

Algebraic Relationships

F.b: 7 Solve one-step equations with “box” variable and whole number coefficients in problems with and without context using whole number coefficients. (2.4)



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October 20 teaching days

Unit 3 Geometry

Explorations and the American Tour

3.1 Introduction to the American Tour (NO&R, Stat/Prob) 3.2 American Tour: Population Data (NO&R, Stat/Prob)

3.3 Exploring Angle Measures (M) 3.4 Using a Protractor (G, M) 3.5 Using a Compass (G, M) 3.6 Congruent Triangles (G, M) 3.7 Properties of Polygons (G) 3.8 Regular Tessellations (G, M)

3.9 Angles of Polygons (G, M, Stats/Prob) 3.10 Solving problems using the Geometry Template (G, M) 3.11 Progress Check 3

Number Operations and Relationships #2 Generate and represent equivalent forms of commonly used fractions, decimals, and percents; estimate with benchmarks; and use strategies to compare, add, and subtract fractions and decimals with and without context. (3.1, 3.2) Geometry #3 Describe, construct, and classify polygons and polyhedrons using properties (e.g., angles, lines of symmetry, parallel lines, similarity) of plane and coordinate geometry. (3.3 3.4, 3.5, 3.7, 3.9, 3.10, 3.11)) Geometry #4 Evaluate the results of transformations from rigid motions and movement between polyhedra and nets, and describe three-dimensional figures from multiple perspectives. (3.6, 3.8) Measurement #5 Compare measurement attributes and elapsed time, explain estimates, selection of unit, and conversions of measures, and determine measurements (e.g., area, size of angles, elapsed time) with tools and scales to specified degrees of accuracy. (3.3, 3.4, 3.5, 3.6, 3.7, 3.8, 3.9, 3.10)

Number Operations and Relationships B.a:2 Recognize and apply place-value concepts to whole numbers less than 10,000,000. (3.2) B.a: 12 Identify and represent equivalence between fractions, percents, and decimals. 3.1) B.b:13 Use all operations in everyday situations to solve single or multi-step word problems. (3.2)

Geometry

C.a:3 Classify plane figures by characteristics of angles (acute, obtuse, and right) and describe rays found in open-angle situations (3.3, 3.4, 3.5, 3.6, 3.7)

C.b:7 Use slides, flips, and turns on figures. Identify congruent shapes using figures that have been manipulated by one or two motions (slides, flips, and turns. (3.8)

C.a:3 Classify plane figures by characteristics of angles (acute, obtuse, and right) and describe rays found in open-angle situations (3.9, 3.10, 3.11)

Measurement

D.b:5 Determine angle measurement to nearest five degrees using a protractor. (3.3, 3.4, 3.6, 3.9, 3.10, 3.11)) D.b:6 Read and interpret measuring instruments to determine the measurement of objects with standard units (U.S. customary). (3.3, 3.4, 3.5, 3.9, 3.10, 3.11) Statistics and Probability E.a:3 Draw reasonable conclusions based on contextual data. (3.1) E.a:4 Use data to predict outcomes or trends from graphs and tables. (3.1) E.a:5 Extract, interpret, and analyze data from single bar graphs, tables and charts, line plots, context, circle graphs, and Venn diagrams. (3.1, 3.2)

MPS District Model

CABS Geometry #4 Measurement #9



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Statistics and Probability #6 Conduct data investigations, interpret and summarize (e.g., mean, median, mode, range) data sets and displays (e.g., line plots, Venn diagrams), and make context-based conclusions and predictions. (3.1, 3.2)



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November 23 teaching days

Unit 4 Division

4.1 Division Facts and Extensions (NO&R) 4.2 The Partial-Quotients Division Algorithm (NO&R) 4.3 American Tour: Finding Distances on a Map (NO&R, M, AR) 4.4 Partial-Quotients Algorithm Strategies (NO&R) 4.5 Division of Decimals (NO&R) 4.6 Interpreting the Remainder (NO&R, AR) 4.7 Skills Review with First to 100 (NO&R, AR) 4.8 Progress Check 4 (NO&R)

Number Operations and Relationships #1 Pose real-world problems, and use strategies, including number theory concepts and place value, to compare numbers, make estimates, and solve single and multi-step word problems.(4.1, 4.2, 4.3, 4.4, 4.5, 4.6, 4.7, 4.8)

Number Operations and Relationships B.a:4 Identify and use number theory concepts: • Prime and composite numbers • Divisibility potential of numbers (divisors1-10, 25) • Least common multiples through 24 • Greatest common factors through 50

(4.1, 4.2, 4.4, 4.5, 4.6, 4,7, 4.8) B.b: 13 Use all operations in everyday situations to solve single or multi-step word problems. (4.1, 4.2, 4.4, 4.5, 4.6, 4,7, 4.8)

B.b: 14 Solve three and four-digit addition and subtraction with regrouping, multiplication of three-digit by two-digit numbers, division with single-digit divisors and four-digit dividends with two-step or mixed operation problems. (4.1, 4.2, 4.4, 4.5, 4.6, 4,7, 4.8)

B.b: 15 Compute with decimals in the context of money and make change. (4.5) B.b: 16 Solve problems using basic multiplication and division facts. (4.1, 4.2, 4.4, 4.5, 4.6, 4,7, 4.8)

B.b: 20 Determine reasonableness of answers. (4.1, 4.2, 4.4, 4.5, 4.6, 4,7, 4.8)

MPS District Model

CABS

Number Operations and Relationships #2, #3



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December 15 teaching days

Unit 5 Fractions, Decimals, and Percents

5.1 Fraction Review (NO&R) 5.2 Mixed Numbers (NO&R) 5.3 Comparing and Ordering Fractions (NO&R) 5.4 Two Rules for Finding Equivalent Fractions (NO&R) 5.5 Fractions and Decimals: Part 1 (NO&R) 5.6 Fractions and Decimals: Part 2 (NO&R) 5.7 Fractions and Decimals: Part 3 (NO&R) 5.8 Using a Calculator to Convert Fractions to Percents (NO&R) 5.9 Bar and Circle Graphs (NO&R, Stats/Prob) 5.10 The Percent Circle:

Reading Circle Graphs (NO&R, M, Stats/Prob)

5.11 The Percent Circle:

Making Circle Graphs (NO&R, Stats/Prob)

Number Operations and Relationships #2 Generate and represent equivalent forms of commonly used fractions, decimals, and percents; estimate with benchmarks; and use strategies to compare, add, and subtract fractions and decimals with and without context. (5.1, 5.2, 5.3, 5.4, 5.5, 5.6. 5.7, 5.8, 5.9, 5.10) Statistics and Probability #6 Conduct data investigations, interpret and summarize (e.g., mean, median, mode, range) data sets and displays (e.g., line plots, Venn diagrams), and make context-based conclusions and predictions. (5.9, 5.10)

Number Operations and Relationships

B.a: 9 Read, write, identify, order, and compare mixed fractions. (5.1, 5.2, 5.3)

B.a: 10 Represent fractions using numbers, pictures, and number lines. (5.1, 5.2, 5.3, 5.9, 5.10)

B.a: 11 Rename improper fractions to mixed numbers in lowest terms. (5.5, 5.6)

B.b: 12 Identify and represent equivalence between fractions, percents, and decimals. (5.7, 5.8)

B.b: 17 Rename improper fractions. (5.2, 5.5, 5.6)

B.b: 19 Estimate using basic whole number operations, benchmark fractions, and benchmark decimals. (5.1, 5.2, 5.3)

B.b: 20 Determine reasonableness of answers (5.1, 5.2, 5.3, 5.4, 5.5, 5.6, 5.7, 5.8, 5.9, 5.10) Statistics and Probability

E.a:5 Extract, interpret, and analyze data from single bar graphs, tables and charts, line plots, context, circle graphs, and Venn diagrams. (5.9, 5.10)

MPS District Model

CABS Number Operations and Relationships #10a, #10b



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5.12 American Tour: School Days (Stats/Prob)


Number Operations and Relationships #2 Generate and represent equivalent forms of commonly used fractions, decimals, and percents; estimate with benchmarks; and use strategies to compare, add, and subtract fractions and decimals with and without context. Venn diagrams), and make context-based conclusions and predictions. (5.10, 5.11, 5.12) Statistics and Probability #6 Conduct data investigations, interpret and summarize (e.g., mean, median, mode, range) data sets and displays (e.g., line plots, Venn diagrams), and make context-based conclusions and predictions. (5.10, 5.11, 5.12)

Number Operations and Relationships B.b:10 Represent fractions using numbers, pictures, and number lines. (5.10, 5.11, 5.12) B.b:11 Identify and represent equivalence between fractions, percents, and decimals. (5.10, 5.11, 5.12) Statistics and Probability E.a: 5 Extract, interpret, and analyze data from single bar graphs, tables and charts, line plots, context, circle graphs, and Venn diagrams.



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January 18 teaching days

Unit 6: Using Data: Addition and

Subtraction of Fractions 6.1 Organizing Data

(Stats/Prob) 6.2 Natural Measures of

Length (Stats/Prob, M)

6.3 The Stem and Leaf

Plots for Hand and Finger Measures (Stats/Prob, M)

6.4 Mystery Plots

Stats/Prob, M) 6.5 Sample Size and

Sound Conclusions (Stats/Prob, NO&R)

6.6 Analysis of Sample

Data Stats/Prob, NO&R)

6.7 American Tour:

Climate (Stats/Prob) 6.8 Using a Slide Rule to

Add and Subtract Fractions (NO&R)

Number Operations and Relationships #2 Generate and represent equivalent forms of commonly used fractions, decimals, and percents; estimate with benchmarks; and use strategies to compare, add, and subtract fractions and decimals with and without context. (6.5, 6.6, 6.8, 6.9, 6.10, 6.11) Measurement #5 Compare measurement attributes and elapsed time, explain estimates, selection of unit, and conversions of measures, and determine measurements (e.g., area, size of angles, elapsed time) with tools and scales to specified degrees of accuracy. (6.2, 6.3, 6.4) Statistics and Probability #6 Conduct data investigations, interpret and summarize (e.g., mean, median, mode, range) data sets and displays (e.g., line plots, Venn diagrams), and make context-based conclusions and predictions. (6.1, 6.2, 6.3, 6.4, 6.5, 6.6, 6.7)

Number Operations and Relationships B.b: 10 Represent fractions using numbers, pictures, and number lines. (6.5, 6.6, 6.8)

B.b: 12 Identify and represent equivalence between fractions, percents, and decimals. (6.5, 6.6, 6.8, 6.9, 6.10, 6.11) B.b: 18 Add and subtract fractions with unlike denominators (halves, thirds, fourths, fifths, and tenths) with sums or differences between 0 and 1. (6.8, 6.9, 6.10, 6.11) B.b: 19 Estimate using basic whole number operations, benchmark fractions, and benchmark decimals. (6.5, 6.6, 6.8, 6.9, 6.10, 6.11) Measurement D.a: 1 Identify appropriate units to measure length, liquid capacity, volume, time, weight/mass, temperature, including measures. Units include: inches, feet, yards, (i.e. 1 foot 3 inches) miles, centimeters, millimeters, meters, kilometers, ounces, cups, quarts, gallons, liters, hours, minutes, seconds (i.e. 1 hour 15 minutes), days, months, years, ounces, pounds, grams, kilograms, and degrees Fahrenheit/Celsius. (6.3, 6.4) D.b:6 Read and interpret measuring instruments to determine the measurement of objects with standard units (U.S. customary). (6.3, 6.4) Statistics and Probability E.a: 2 Collect, organize, and display data in appropriate graphs or charts (6.1, 7.6)

MPS District Model

CABS Number Operations and Relationships #10a, #10b Statistics and Probability #9a and 9b



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January 18 teaching days

Unit 6: Using Data: Addition and

Subtraction of Fractions 6.9 Clock Fractions and

Common Denominators (NO&R)

6.10 Quick Common

Denominators (NO&R)


Statistics and Probability E.a: 3 Draw reasonable conclusions based on contextual data. (6.4, 6.5, 6.7, 7.6) E.b: 6 Describe a given set of data of ten or fewer items/numbers using the terms mean, median, mode, and range to extract information from organized charts, tables, graphs, and Venn diagrams in problems with and without context. (6.4, 6.5, 6.7)



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February 20 teaching days

Unit 7: Exponents and Negative Numbers

7.1 Exponential Notation

(NO&R, AR) 7.2 Exponential Notation

for Powers of 10 (NO&R)

7.3 Scientific Notation

(NO&R, AR) 7.4 Parenthesis in

Number Sentences (NO&R, AR)

7.5 Order of Operations

(NO&R, AR) 7.6 American Tour: Line

Graphs (Stats/Prob, NO&R)

7.7 Using Negative

Numbers (NO&R, M) 7.8 Addition of Positive and

Negative Number (NO&R, AR)

7.9 Subtraction of Positive

and Negative Numbers (NO&R,

Number Operations and Relationships #1 Pose real-world problems, and use strategies, including number theory concepts and place value, to compare numbers, make estimates, and solve single and multi-step word problems. (7.1, 7.3, 7.4, 7.5, 7.8, 7.9) Algebraic Relationships #8 Represent, extend, and describe patterns and functional relationships using words, symbolic rules, tables, and graphs. (7.1, 7.3, 7.4, 7.5, 7.8, 7.9)

Number Operations and Relationships B.b: 2 Read, write, and represent numbers using words, numerals, pictures (base-ten blocks), number lines, arrays expanded forms (12,436=10,000+2,000+400+30+6), and symbolic reasoning e.g., 12,436=12,450-14. (7.1, 7.2, 7.3, 7.4, 7.5, 7.7, 7.8, 7.9) Statistics and Probability E.a: 3 Draw reasonable conclusions based on contextual data. (7.6) Algebraic Relationships F.a: 1 Recognize, extend, describe, create and replicate a variety of patterns including attribute, numeric, and geometric patterns. (7.1, 7.2, 7.3, 7.4, 7.5, 7.7, 7.8, 7.9) F.c:14 Simplify (evaluate) two-step numerical expressions using correct order of operations. (7.1, 7.2, 7.3, 7.4, 7.5, 7.7, 7.8, 7.9) F.c: 16 Demonstrate understanding of order of operations by solving two-step open sentences involving all operations. (7.1, 7.2, 7.3, 7.4, 7.5, 7.7, 7.8, 7.9)

MPS CABS Algebraic Reasoning # 3, #16



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February 20 teaching days

Unit 7: Exponents and Negative Numbers

7.10 Using a Slide Rule to

Add and Subtract (NO&R, AR)

7.11 Calculator Practice:

Working with Negative Numbers (NO&R, AR)

7.12 Progress Check

Unit 8 Fractions and Ratios

8.1 Review: Comparing

Fractions (NO&R) 8.2 Adding Mixed

Numbers (NO&R) 8.3 Subtracting Mixed

Numbers (NO&R) 8.4 Calculator Practice:

Computation with Fractions (NO&R)

8.5 Fractions of Fractions

(NO&R) 8.6 An Area Model for

Fraction Multiplication (NO&R, AR)

Number Operations and Relationships #2 Generate and represent equivalent forms of commonly used fractions, decimals, and percents; estimate with benchmarks; and use strategies to compare, add, and subtract fractions and decimals with and without context. (8.1, 8.2, 8.3, 8.4, 8.5, 8.6, 8.7, 8.8, 8.9, 8.10, 8.12) Statistics and Probability #6 Conduct data investigations, interpret and summarize (e.g., mean, median, mode, range) data sets and displays (e.g., line plots, Venn diagrams), and make context-based conclusions and predictions. (8.11) Algebraic Relationships #8 Represent, extend, and describe patterns and functional relationships using words, symbolic rules, tables, and graphs. (8.6)

Number Operations and Relationships B.b: 10 Represent fractions using numbers, pictures, and number lines. (8.1, 8.2, 8.3, 8.4, 8.5, 8.6, 8.7, 8.8, 8.9, 8.10, 8.12) B.b: 12 Identify and represent equivalence between fractions, percents, and decimals. (8.1, 8.2, 8.3, 8.4, 8.5, 8.6, 8.7, 8.8, 8.9, 8.10, 8.12) B.b: 18 Add and subtract fractions with unlike denominators (halves, thirds, fourths, fifths, and tenths) with sums or differences between 0 and 1. (8.1, 8.2, 8.3, 8.4, 8.5, 8.6, 8.7, 8.8, 8.9, 8.10, 8.12) B.b: 19 Estimate using basic whole number operations, benchmark fractions, and benchmark decimals. (8.1, 8.2, 8.3, 8.4, 8.5, 8.6, 8.7, 8.8, 8.9, 8.10, 8.12) Algebraic Relationships F.a: 1 Recognize, extend, describe, create and replicate a variety of patterns including attribute, numeric, and geometric patterns. (8.6)

Number Operations and Relationships #9a and #9b

Lessons 7.10 – 7.12 lay the foundation for mathematical ideas covered in 6th grade descriptors. It is important to have students experience these lessons but they might not master them at this time.



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March 14 teaching days

Unit 8 Fractions and Ratios

8.7 Multiplication of

Fractions and Whole (NO&R)

8.8 Multiplication of

Mixed Numbers (NO&R)

8.9 Finding a Percent of a

Number (NO&R) 8.10 Relating Fractional

Units to the Whole (NO&R)

8.11 American Tour: Rural

and Urban (Stats/Prob, NO&R)

8.12 Fraction Division

(NO&R) 8.13 Progress Check 8

See Targets Above

WI State Descriptors

Lessons 8.7-8.12 lay the foundation for mathematical ideas covered in 6th grade descriptors. It is important to have students experience these lessons but they might not master them at this time.



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March 14 teaching days April 13 teaching days

Unit 9 Coordinates, Area, Volume, and

Capacity 9.1 Hidden Treasure: A

Coordinate Game (NO&R)

9.2 Coordinate Graphs:

Part 1 (NO&R, M, G) 9.3 Coordinate Graphs:

Part 2 (M, G) 9.4 Areas of Rectangles

(M) 9.5 The Rectangle

Method for Finding Area (M)

9.6 Formulas for the Area

of Triangles and Parallelograms (M,G)

9.7 Earth’s Water Surface (NO&R, Stats/Prob, M) 9.8 Volume of a Rectangular Prism (M, G, AR) 9.9 Volume of Right Prisms (M, G,) 9.10 Capacity: Liter, Milliliter, and Cubic Centimeter (M) 9.11 Progress Check

Number Operations and Relationships #1 Pose real-world problems, and use strategies, including number theory concepts and place value, to compare numbers, make estimates, and solve single and multi-step word problems. (9.7, 9.10) Geometry #3 Describe, construct, and classify polygons and polyhedrons using properties (e.g., angles, lines of symmetry, parallel lines, similarity) of plane and coordinate geometry. (9.1, 9.2, 9.3, 9.6, 9.7) Geometry #4 Evaluate the results of transformations from rigid motions and movement between polyhedra and nets , and describe three-dimensional figures from multiple perspectives. (9.8, 9.9)

Number Operations and Relationships B.a: 4 Identify and use number theory concepts:

• Prime and composite numbers • Divisibility potential of numbers (divisors1-10,

25) • Least common multiples through 24 • Greatest common factors through 50 (9.7)

B.b: 16 Solve problems using basic multiplication and division facts. Geometry C.a:3 Classify plane figures by characteristics of angles (acute, obtuse, and right) and describe rays found in open-angle situations. (9.8, 9.9) C.a: 4 Use tangrams to describe, model, and construct plane figures. (9.9) C.b: 6 Describe and compare cubes, rectangular prisms, and rectangular and triangular pyramids from nets (flat patterns). (9.8, 9.9) C.b: 9 Identify and describe 3-dimensional figures from multiple perspectives. (9.8, 9.9 C.c:10 Identify and plot the coordinates of locations or objects on simple one quadrant grids using numbers only for coordinates, (e.g. (3,2)). (9.1, 9.2, 9.3) C.c: 11 Locate the fourth coordinate pair when given three vertices of a rectangle or parallelogram on a coordinate grid. (9.1, 9.2, 9.3)

MPS CABS Geometry #5a, 5b, 5c Measurement #4



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April 13 teaching days

Unit 9 Coordinates, Area, Volume, and

Capacity

Measurement #5 Compare measurement attributes and elapsed time, explain estimates, selection of unit, and conversions of measures, and determine measurements (e.g., area, size of angles, elapsed time) with tools and scales to specified degrees of accuracy. (9.4, 9.5, 9.6) Measurement #5 Compare measurement attributes and elapsed time, explain estimates, selection of unit, and conversions of measures, and determine measurements (e.g., area, size of angles, elapsed time) with tools and scales to specified degrees of accuracy. (9.8, 9.9)

Measurement D.a: 1 Identify appropriate units to measure length, liquid capacity, volume, time, weight/mass, temperature, including measures. Units include: inches, feet, yards, (i.e. 1 foot 3 inches) miles, centimeters, millimeters, meters, kilometers, ounces, cups, quarts, gallons, liters, hours, minutes, seconds (i.e. 1 hour 15 minutes), days, months, years, ounces, pounds, grams, kilograms, and degrees Fahrenheit/Celsius. (9.7, 9.8, 9.9) D.a: 3 Make measurement conversions within a system between units (e.g. feet and yards; inches and yards; quarts and gallons; meters and centimeters; seconds and hours). (9.10) D.c: 9 Determine the area of regular shapes, including right triangles. (9.4, 9.5, 9.6, 9.10)

MPS CABS Geometry #9



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Unit 10 Using Data; Algebra Concepts and Skills

10.1 Pan-Balance Problems (M) 10.2 Pan-Balance Problems with Two Balances (NO&R, M, AR) 10.3 Algebraic Expressions (AR) 10.4 Rules, Tables, and Graphs: Part 1 (Stats/Prob, AR) 10.5 American Tour: Old Faithful’s Next Eruptions (Stats/Prob, AR) 10.6 Rules, Tables, and Graphs: Part 2 (Stats/Prob, AR) 10.7 Reading Graphs (Stats/Prob, AR) 10.8 Circumference of a Circle (NO&R, Stats/Prob) 10.9 Area of Circles (NO&R, Stats/Prob, AR) 10.10 Progress Check

Number Operations and Relationships #1 Pose real-world problems, and use strategies, including number theory concepts and place value, to compare numbers, make estimates, and solve single and multi-step word problems. (10.2, 10.3, 10.7, 10.8) Geometry #3 Describe, construct, and classify polygons and polyhedrons using properties (e.g., angles, lines of symmetry, parallel lines, similarity) of plane and coordinate geometry. (10.6) Measurement #5 Compare measurement attributes and elapsed time, explain estimates, selection of unit, and conversions of measures, and determine measurements (e.g., area, size of angles, elapsed time) with tools and scales to specified degrees of accuracy. (10.1, 10.2, 10.9)

Number Operations and Relationships B.b: 8 Demonstrate basic understanding of proportionality in proportional contexts. (10.8, 10.9) B.b: 13 Use all operations in everyday situations to solve single or multi-step word problems. (10.3) B.b: 16 Solve problems using basic multiplication and division facts. (10.2, 10.7, 10.8, 10.9) Geometry C.c: 10 Identify and plot the coordinates of locations or objects on simple one quadrant grids using numbers only for coordinates. (10.6) Measurement D.a: 2 Compare attributes of length, volume, and weight by observation or when given actual measurements. (10.1) D.b: 6 Read and interpret measuring instruments to determine the measurement of objects with standard units (U.S. customary). (10.1, 10.2) D.c: 9 Determine the area of regular shapes including right triangles. (10.9) Statistics and Probability

Statistics and Statistics and Prob E.a: 4 Use data to predict outcomes or trends from

graphs and tables. (10.4) E.b: 5 Extract, interpret, and analyze data from single bar graphs, tables and charts, line plots, context, circle graphs, and Venn diagrams. (10.4, 10.5, 10.6, 10.7,)



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Statistics and Probability #6 Conduct data investigations, interpret and summarize (e.g., mean, median, mode, range) data sets and displays (e.g., line plots, Venn diagrams), and make context-based conclusions and predictions. (10.4, 10.5, 10.6, 10.7, 10.9) Algebraic Relationships #8 Represent, extend, and describe patterns and functional relationships using words, symbolic rules, tables, and graphs. (10.1, 10.2, 10.3, 10.4, 10.5, 10.6, 10.7, 10.9)

Statistics and Probability E.b: 6 Describe a given set of data of ten or fewer items/numbers using the terms mean, median, mode, and range to extract information from organized charts, tables, graphs, and Venn diagrams in problems with and without context. (10.8, 10.9) Algebra F.a: 1 Recognize, extend, describe, create and replicate a variety of patterns including attribute, numeric, and geometric patterns. (10.4, 10.5, 10.6) F.a: 2 Represent patterns and relationships with pictures, tables, and charts. (10.1, 10.2, 10.3, 10.4, 10.5, 10.6, 10.9)

MPS CABS Statistics and Probablility #6a, 6b, 6c



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May 27 Teaching Days

Unit 11: Volume 11.1 Review of Geometric Solids: Part 1 (NO&R,G,) 11.2 Review of Geometric Solids: Part 2 (G, Stats/Prob) 11.3 Volume of Cylinders (NO&R, G, M) 11.4 Volume of Pyramids and Cones (NO&R, G, M, AR) 11.5 Finding Volume by a Displacement Method (NO&R, M, Stat/Prob) 11.6 Capacity and Weight (NO&R, M) 11.7 Surface Area (NO&R, M) 11.8 Progress Check 11

Number Operations and Relationships #1 Pose real-world problems, and use strategies, including number theory concepts and place value, to compare numbers, make estimates, and solve single and multi-step word problems. (11.1, 11.2, 11.3, 11.4) Geometry #3 Describe, construct, and classify polygons and polyhedrons using properties (e.g., angles, lines of symmetry, parallel lines, similarity) of plane and coordinate geometry. (11.1, 11.2) Geometry #4 Evaluate the results of transformations from rigid motions and movement between polyhedra and nets, and describe three-dimensional figures from multiple perspectives. (11.1, 11.2)

Number Operations and Relationships B.b: 13 Use all operations in everyday situations to solve single or multi-step word problems. (11.1, 11.2, 11.3, 11.4, 11.5, 11.6, 11.7) Geometry C.b: 5 Identify figures that are congruent and/or similar. (11.1, 11.2) C.b: 6 Describe and compare cubes, rectangular and triangular prisms, and rectangular and triangular pyramids from nets (flat patterns). (11.1, 11.2) C.b: 9 Identify and describe 3-dimensional figures from multiple perspectives. (11.1, 11.2, 11.3, 11.4) Measurement D.a: 1 Identify appropriate units to measure length, liquid capacity, volume, time, weight/mass, temperature, including measures. Units include: inches, feet, yards, (i.e. 1 foot 3 inches) miles, centimeters, millimeters, meters, kilometers, ounces, cups, quarts, gallons, liters, hours, minutes, seconds (i.e. 1 hour 15 minutes), days, months, years, ounces, pounds, grams, kilograms, and degrees Fahrenheit/Celsius. (11.3, 11.5, 11.6) D.a: 2 Compare attributes of length, volume, and weight by observation or when given actual measurements. (11.3, 11.4, 11.7) D.a: 3 Draw reasonable conclusions based on contextual data. (11.6) D.c: 9 Determine the area of regular shapes including right triangles. (11.4, 11.7)

MPS CABS Geometry #4-8 MPS CABS Measurement #6, 7a-7d, 9



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May 27 teaching days

Measurement #5 Compare measurement attributes and elapsed time, explain estimates, selection of unit, and conversions of measures, and determine measurements (e.g., area, size of angles, elapsed time) with tools and scales to specified degrees of accuracy. (11.3, 11.4, 11.5, 11.6, 11.7) Statistics and Probability #6 Conduct data investigations, interpret and summarize (e.g., mean, median, mode, range) data sets and displays (e.g., line plots, Venn diagrams), and make context-based conclusions and predictions. (11.2, 11.5) Algebra #8 Represent, extend, and describe patterns and functional relationships using words, symbolic rules, tables, and graphs. (11.4)

Statistics and Probability E.a: 2 Collect, organize, and display data in appropriate graphs or charts. (11.5) E.a: 5 Extract, interpret, and analyze data from single bar graphs, tables and charts, line plots, context, circle graphs, and Venn diagrams. (11.2) Algebra F.a: 1 Recognize, extend, describe, create and replicate a variety of patterns including attribute, numeric, and geometric patterns. (11.4)



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May/June 27 teaching days

Unit 12: Probability, Ratios, and Rates 12.1 Factor Trees (NO&R) 12.2 Choices, Tree Diagrams, and Probability (NO&R, Stats/Prob) 12.3 American Tour: Ratio Exploration (NO&R, Stats/Prob) 12.4 Ratios of Parts to Wholes (NO&R) 12.5 Number Models for Ratio Number Stories (NO&R) 12.6 Finding Your Heart Rate (NO&R, Stats/Prob) 12.7 Collecting Graphing, and Interpreting Data (Stats/Prob) 12.8 Finding Your Cardiac Output (NO&R, Stats/Prob) 12.9 Progress Check

Number Operations and Relationships #1 Pose real-world problems, and use strategies, including number theory concepts and place value, to compare numbers, make estimates, and solve single and multi-step word problems. (12.1, 12.2, 12.3, 12.4, 12.5, 12.6) Number Operations and Relationships #2 Generate and represent equivalent forms of commonly used fractions, decimals, and percents; estimate with benchmarks; and use strategies to compare, add, and subtract fractions and decimals with and without context. (12.4, 12.5, 12.6, 12.8) Statistics and Probability #6 Conduct data investigations, interpret and summarize (e.g., mean, median, mode, range) data sets and displays (e.g., line plots, Venn diagrams), and make context-based conclusions and predictions. (12.2, 12.3, 12.6, 12.7, 12.8) Statistics and Probability #7 Describe the difference between theoretical and experimental probabilities, determine the likelihood and fairness of events, and explain why probabilities are represented as fractions and percents from 0 to 1. (12.2, 12.7)

Number Operations and Relationships B.b: 4 Identify and use number theory concepts:

• Prime and composite numbers • Divisibility potential of numbers (divisors1-10,

25) • Least common multiples through 24 • Greatest common factors through 50 (12.1)

B.b: 8 Demonstrate basic understanding of proportionality in proportional contexts. (12.3, 12.4, 12.5, 12.6) B.b: 12 Identify and represent equivalence between fractions, percents, and decimals. (12.4, 12.5, 12.6, 12.8) B.b: 13 Use all operations in everyday situations to solve single or multi-step word problems. (12.2, 12.5)

B.b:16 Solve problems using basic multiplication and division facts. (12.1, 12.5, 12.6, 12.8) Statistics and Probability E.b: 2 Collect, organize, and display data in appropriate graphs or charts.(12.7) E.b: 4 Use data to predict outcomes or trends from graphs and tables. (12.7) E.b: 5 Extract, interpret, and analyze data from single bar graphs, tables and charts, line plots, context, circle graphs, and Venn diagrams. (12.2,12.3, 12.6, 12.7) E.b: 7 Determine the likelihood of future events, predict outcomes of future events, and test predictions using data from a variety of sources. (12.2, 12.7) E.b: 9 Determine the probability of events in context using words, percents, or fractions. (12.2, 12.7)

MPS CABS Measurement # 10



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