docushare.pvbears.org file · Web viewDemonstrate an understanding that in a multi-digit number, a digit in one place represents 1/10 of what it represents in the place to the left

Grade 5: Mathematics Scope and Sequence

2017-2018

Descriptor Eligible Content

Chapter 1 Objective CC state Standard

M05.A-T.1.1 M05.A-T.1.1.1 Demonstrate an understanding that in a multi-digit number, a digit in one place represents 1/10 of what it represents in the place to the left

Lesson 1.1 Recognize the 10 to 1 relationship among place-value positions

CC.5.NBT.1

M05.A-T.1.1.3 Read and write decimals to thousandths using base-ten numerals, word form, and expanded form

Lesson 1.2 Read and write whole numbers through hundred millions

CC.5.NBT.1

Problem SolvingQuiz

5 days



M05.A-T.1.1 M05.A-T.1.1.2 Explain patterns in the number of zeros of the product when multiplying a number by powers of 10 and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use Whole-number exponents to denote powers of 10.

Lesson 1.4 Write and evaluate repeated factors in exponent form.

CC.5.NBT.2

M05.A-T.1.1.2 Explain patterns in the number of zeros of the of the product when multiplying a number by powers of 10 and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use Whole-number exponents to denote powers of 10.

Lesson 1.5 Use a basic fact and a pattern to multiply mentally by multiples of 10, 100, 1,000.

CC.5.NBT.2

Problem SolvingQuiz

5 daysTest (1 day) 11 days



M05.A-T.2.1 M05.A-T.2.1.1 Multiply multi-digit whole numbers (not to exceed three-digit by three-digit)

Lesson 1.6 Multiply by 1-digit numbers

CC.5.NBT.5

M05.A-T.2.1.1 Multiply multi-digit whole numbers (not to exceed three-digit by three-digit)

Lesson 1.7 Multiply by 2-Digit Numbers

CC.5.NBT.5

Problem SolvingQuiz

5 days



M05.B-O.1.1 M05.B-O.1.1.2 Write simple expressions that model calculations with numbers and interpret numerical expressions without evaluating them

Lesson 1.10 Write numerical expressions

CC.5.OA.2

M05.B-O.1.1.1 Use multiple grouping symbols (parentheses, brackets, or braces) in numerical expressions and evaluate expressions containing these symbols

Lesson 1.11 Use the order of operations to evaluate numerical expressions

CC.5.OA.1

M05.B-O.1.1.1 Use multiple grouping symbols (parentheses, brackets, or braces) in numerical expressions and evaluate expressions containing these symbols

Lesson 1.12 Evaluate numerical expressions with parentheses, brackets, and braces

CC.5.OA.1

Problem SolvingQuiz


Descriptor Eligible Chapter 2 Objective CC state

Content StandardM05.A-T.2.1 M05.A-T.2.1.2 Find whole-number quotients

of whole numbers with up to four-digit dividends and two-digit divisors

Lesson 2.1 & 2.2 Place the first digit in the quotient by estimating or using place value

Divide 3- and 4-digit dividends by 1-digit divisors.

CC.5.NBT.6

M05.A-T.2.1.2 Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors

Lesson 2.5 Estimate quotients using compatible numbers.

CC.5.NBT.6


Lesson 2.6 Divide by 2-Digit Divisors

CC.5.NBT.6


Lesson 2.7 Solve division problems and decide when to write a remainder as a fraction

CC.5.NF.3CC.5.NBT.6

Lesson 2.8 Adjust the quotient if the estimate is too high or too low

CC.5.NBT.6

Problem SolvingLesson 2.9

Solve Problems by using the strategy draw a diagram

CC.5.NBT.6

Quiz




M05.A-T.1.1 M05.A-T.1.1.1 Demonstrate an understanding that in a multi-digit number, a digit in one place represents 1/10 of what it represents in the place to the left

Lesson 3.1 Model, read, and write decimals to thousandths

CC.5.NBT.1 & CC.5.NBT.3a

M05.A-T.1.1.3 Read and write decimals to thousandths using base-ten numerals, word form, and expanded form

Lesson 3.2 Read and write decimals through thousandths

CC.5.NBT.3a & CC.5.NBT.1

M05.A-T.1.1.4 Compare two decimals to thousandths based on meanings of the digits in each place using >, =, and < symbols

Lesson 3.3 Compare and order decimals to through thousandths using place value

CC.5.NBT.3b

M05.A-T.1.1.5 Rounds decimals to any place (limit rounding to ones, tenths, hundredths, or thousandths place)

Lesson 3.4 Round decimals to any place

CC.5.NBT.4

Problem SolvingQuiz




M05.A-T.2.1 M05.A-T.2.1.3 Add, subtract, multiply, and divide decimals to hundredths (no divisors with decimals)

Lesson 3.7 Make reasonable estimates of decimal sums and differences

CC.5.NBT.7

M05.A-T.2.1.3 Add, subtract, multiply, and divide decimals to hundredths (no divisors with decimals)

Lesson 3.5 & 3.8 Model decimal addition using base-ten blocks

Add decimals using place value

CC.5.NBT.7


Lesson 3.6 & 3.9 Model decimal subtraction using base-ten blocks

Subtract Decimals using Place value

CC.5.NBT.7

Lesson 3.10 Identify, describe, and create numeric patterns with decimals

CC.5.NBT.7



Solve problems using the strategy make a table

CC.5.NBT.7

Quiz




M05.A-T.1.1 M05.A-T.1.1.1 Explain patterns in the number Lesson 4.1 Find patterns in CC.5.NBT.2 &

of zeros of the product when multiplying a number by powers of 10 and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use Whole-number exponents to denote powers of 10.

products when multiplying by powers of 10

CC.5.NBT.7


Lesson 4.2 & 4.3 Model multiplication of whole numbers and decimals

Multiply a decimal and a whole number using drawings and place value.

CC.5.NBT.2 & CC.5.NBT.7


Solve problems using the strategy draw a diagram to multiply money

CC.5.NBT.7

Quiz

5 days



M05.A-T.1.1 M05.A-T.2.1.3 Add, subtract, multiply, and divide decimals to hundredths (no divisors with decimals)

Lesson 4.6 &4.7 Model multiplication by decimals

Place the decimal point in decimal multiplication



Lesson 4.8 Multiply decimals with zeros in the product


Problem SolvingQuiz




M05.A-T.1.1 M05.A-T.1.1.2 Explain patterns in the number Lesson 5.1 Find patterns in CC.5.NBT.2

of zeros of the product when multiplying a number by powers of 10 and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use Whole-number exponents to denote powers of 10.

quotients when dividing by powers of 10

Lesson 5.3 Estimate decimal quotients

CC.5.NBT.7


Lesson 5.2 & 5.4 Model division of decimals by whole numbers

Divide decimals by whole numbers


* Add Zeros in the dividend


Solve multistep decimal problems using the strategy work backward

CC.5.NBT.7

Quiz




M05.A-F.1.1 M05.A-F.1.1.1 Add and subtract fractions (including mixed numbers) with unlike denominators. (May

Lesson 6.3 Make reasonable estimates of fraction sums and

CC.5.NF.2

include multiple methods and representations.)

differences

M05.A-F.1.1.1 Add and subtract fractions (including mixed numbers) with unlike denominators. (May include multiple methods and representations.)

Lesson 6.4 Find a common denominator or a least common denominator to write equivalent fractions

CC.5.NF.1


Lesson 6.1 & 6.5 Use models to add fractions with unlike denominators

Use equivalent fractions to add and subtract fractions

CC.5.NF.2 & CC.5.NF.1


Lesson 6.2 & 6.5 Use models to subtract fractions with unlike denominators

Use equivalent fractions to add and subtract fractions

CC.5.NF.2 & CC.5.NF.1

Problem SolvingQuiz

7 days



M05.A-F.1.1 M05.A-F.1.1.1 Add and subtract fractions (including mixed numbers) with unlike denominators. (May include multiple methods and

Lesson 6.6 Add and subtract mixed numbers with unlike denominators

CC.5.NF.1 & CC.NF.2

representations.)Lesson 6.7 Rename to find

the difference of two mixed numbers

CC.5.NF.1 & CC.NF.2

Lesson 6.8 Identify, describe, and create numeric patterns with fractions

CC.5.NF.1


Solve problems using the strategy work backward

CC.5.NF.2 & CC.5.NF.1

Quiz

6daysTest (1 day) 14 days



M05.A-F.2.1 M05.A-F.2.1.2 Multiply a fraction (including mixed numbers) by a fraction.

Lesson 7.1 Model to find the fractional part of a group

CC.5.NF.4a

M05.A-F.2.1.2 Multiply a fraction (including mixed numbers) by a fraction.

Lesson 7.2 &7.3 Model the product of a

CC.5.NF.4a

fraction and a whole number

Multiply fractions and whole numbers


Lesson 7.4 & 7.6 Multiply fractions using models

Multiply fractions

CC.5.NF.4a, CC.NF.5a & CC.NF.5b


Lesson 7.9 Multiply mixed numbers

CC.5.NF.6


Solve problems using the strategy guess, check, and revise

CC.5.NF.5b & CC.5.NF.6

Quiz

7 days



M05.A-F.2.1 M05.A-F.2.1.3 Demonstrate and understanding of multiplication as scaling (resizing)

Lesson 7.5 Relate the size of the product compared to the size of one factor when multiplying fractions

CC.5.NF.5a & CC.5.NF.5b

M05.A-F.2.1.3 Demonstrate and understanding of multiplication as scaling (resizing)

Lesson 7.8 Relate the size of the product to the factors when multiplying fractions greater than one

CC.5.NF.5a & CC.5.NF.5b

Problem SolvingQuiz




M05.A-F.2.1 M05.A-F.2.1.1 Solve word problems involving division of whole numbers leading to answers in the form of fractions (including mixed numbers)

Lesson 8.3 Interpret a fraction as division and solve whole-number division problems that result in a

CC.5.NF.3

fraction or mixed number

M05.A-F.2.1.4 Divide unit fractions by whole numbers and whole numbers by unit fractions

Lesson 8.1 Divide a whole number by a fraction and divide a fraction by a whole number

CC.5.NF.7a, CC.5.NF.7b & CC.5.NF.7c


Lesson 8.2 Solve problems using the strategy draw a diagram

CC.5.NF.7b


Lesson 8.4 & 8.5 Divide a whole number by a fraction and divide a fraction by a whole number

Represent division by drawing diagrams and writing story problems and equations

CC.5.NF.7c, CC.5.NF.7a & CC.5.NF.7b

Problem SolvingQuiz




M05.C-G.1.1 M05.C-G.1.1.1 Identify parts of the coordinate plane (x-axis, y-axis, and the origin) and the ordered pair (x-coordinate and y-coordinate). Limit the coordinate plane to quadrant I

Lesson 9.2 Graph and name points on a coordinate grid using ordered pairs

CC.5.G.1

M05.C-G.1.1.2 Represent real-world and mathematical problems by plotting points in quadrant I of the coordinate plane and interpret coordinate values of points in the context of the situation

Lesson 9.3 Collect and graph data on a coordinate grid

CC.5.G.2

Problem SolvingQuiz

5 days



M05.D-M.2.1 M05.D-M.2.1.1 Solve problems involving computation of fractions by using information presented in line plots

Lesson 9.1 Make and use line plots with fractions to solve problems

M05.D-M.2.1.2 Display and interpret data shown in tallies, tables, charts, pictographs, bar graphs, and line graphs, and use a title, appropriate scale, and labels. A grid will be provided to display data on bar graphs or line graphs.

Lesson 9.4 Analyze and display data in a line graph

Problem SolvingQuiz

6 DaysTest (1 day) 11 days



M05.B-O.2.1 M05.B-O.2.1.1 Generate two numerical patterns using two given rules

Lesson 9.5 Use two rules to generate a numerical pattern and identify the relationship between the corresponding

CC.5.OA.3

terms in the patterns

M05.B-O.2.1.2 Identify apparent relationships between corresponding terms of two patterns with the same starting numbers that follow different rules

Lesson 9.7 Graph the relationship between two numerical patterns on a coordinate grid

CC.5.OA.3 & CC.5.G.2

Problem SolvingQuiz




M05.D-M.1.1 M05.D-M.1.1.1 Convert between different-sized measurement units within a given measurement system. A table of equivalencies will be provided.

Lessons 10.1, 10.2, 10.3Customary

Compare, contrast, and convert customary units of length, capacity, and weight

CC.5.MD.1

Problem Solving Convert CC.5.MD.1

Lesson 10.4 measurement units to solve multistep problems

Quiz

5 days




Lesson 10.5 Compare, contrast, and convert metric units

CC.5.MD.1

M05.D-M.1.1.1 Convert between different-sized measurement units within a given measurement system. A table of equivalencies will be provided.


Solve problems about customary and metric conversions using the strategy make a table

CC.5.MD.1

Quiz





Lesson 10.7 Convert units of time to solve elapsed time problems

CC.5.MD.1

Problem Solving

2 days



M05.C-G.2.1 M05.C-G.2.1.1 Classify two-dimensional figures in a hierarchy based on properties

Lesson 11.1 Identify and classify polygons

CC.5.G.3

M05.C-G.2.1.1 Classify two-dimensional figures in a hierarchy based on properties

Lesson 11.2 Classify and draw triangles using their properties

CC.5.G.3 & CC.5.G.4

M05.C-G.2.1.1 Classify two-dimensional figures in a hierarchy based on properties

Lesson 11.3 Classify and compare quadrilaterals

CC.5.G.4

using their properties

Problem SolvingQuiz

6daysTest (1 day) 7 days



M05.D-M.3.1 Lesson 11.5 & 11.6 Understand unit cubes and how they can be used to build a solid figure

Count unit cubes that fill a solid figure to find volume

CC.5.MD.C.3a & CC.5.MD.C. 3b

M05.D-M.3.1.1 Apply the formulas V= l x w x h and V= B x H for rectangular prisms to find volumes of right rectangular prisms with whole-number edge lengths in the context of solving real-world and mathematical problems. Formulas will be provided.

Lesson 11.8 & 11.9 Find the volume of rectangular prisms

Use a formula to find the volume of a rectangular prism

CC.5.MD.C.5a

M05.D-M.3.1.2 Find volumes of solid figures composed of two non-overlapping right rectangular prisms

Lesson 11.11 Find the volume of combined rectangular prisms

CC.5.MD.5c

Problem SolvingQuiz


Documents

docushare.pvbears.org file · Web viewDemonstrate an understanding that in a multi-digit number, a digit in one place represents 1/10 of what it represents in the place to the left