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4.84 MB | 366 pages

Be sure that you have an application to open this file type before downloading and/or purchasing.

4.84 MB | 366 pages

These 87 lessons accompany and are based on Go Math textbook (5th Grade), with rich content and higher level questions. The lessons can stand on their own even if the instructor does not use Go Math, where alternative practice exercises can be utilized.

Purchasing this bundle will save you 20% versus buying each individual chapters.

Chapter 1

Students will explore multiplication and division by focusing on the relationship that one operation is the inverse of the other. They look for and make use of structure when they find patterns that connect the operations. Consider the following:

40 x 8 = 320 320 ÷ 40 = 8

8 x 40 = 320 320 ÷ 8 = 40

This relationship is an extension of the related facts students learned in previous grades.

Chapter 2

Understanding different meanings of division helps students make sense of problems and persevere in solving them. Such understanding gives students strategies to make sense of situations. This, in turn, helps them persevere in finding solutions.

Chapter 3

Students add and subtract decimals using several models. Of particular importance is the place-value model represented with base-ten blocks. As students solve addition problems with base-ten blocks where the flat is equal to one, the long is equal to one-tenth and the small cube is equal to one-hundredth, they are led to see that when adding decimals, the hundredths can be combined with hundredths, the tenths with tenths, and so on. They see that similar reasoning can be applied to subtraction. These experiences help students to look for and make use of structure as they make sense of place-value algorithms for adding and subtracting decimals.

Chapter 4

These lessons, aligned to the Common Core Standard, provide a comprehensive approach to teach multiplying decimals for fifth grade students. Components include the AIM (or Essential Question), objective, common core standard, motivation, model/teach, guided practice, independent practice and summary.

Chapter 5

These lesson plans are recommended for January or February of the school year, to 5th Grade level and are aligned to the Common Core Standards. They cover dividing with decimals and are written utilizing the workshop model and problem-based model.

Chapter 6

**This unit covers dividing decimals to provide students with opportunities to make sense of problems and persevere in solving them. Students make sense of problems when they model decimal division. The modeling helps them develop procedures for determining quotients. Eventually, students solve multistep problems involving decimal division. When they encounter difficult problems, they can use models to help them.

**Modeling operations helps students make sense of the procedures. Students make sense of procedures for dividing decimals by estimating the quotient using compatible numbers. This estimate can help the student place the decimal point after dividing. Exploring division with models and contexts and making sense of the placement of the decimal point after dividing will help students to understand how the decimal division algorithms work.

Decimal models can be used to show how to divide decimals by decimals.

Chapter 7

These lessons guide students to use models to multiply fractions, including numbers and then fractions and fractions, including mixed numbers. Students will be asked to use the area model to make sense of the algorithm for multiplying fractions. Students use appropriate tools strategically when they decide if it makes more sense to use an area model or the algorithm to determine the product.

Chapter 8

In this unit students will learn about dividing fractions by whole numbers and dividing whole numbers by fractions, they look for and make use of structure. They do this when they develop connections between whole-number division and fraction division, as well as between division expressions and related multiplication expressions. This builds a foundation for developing the fraction division algorithm.

Chapter 9

In this unit, students will graph number pairs on a coordinate grid. They will analyze patterns and then model those relationships using graphs. These experiences provide meaningful opportunities for students to model with mathematics. Early explorations, such as these, will lead students to make sense of more formal explorations in algebra in later grades like determining the slope of a line.

Chapter 10

Converting units of measure within the customary or the metric system provides students an opportunity to attend to precision. As they make conversions, they need to check the reasonableness of their results. Students who can apply the techniques on this page will be able to evaluate the reasonableness of their results.

Table of Contents

Lesson 1.1 Investigate ● Place Value and Patterns

Lesson 1.2 Place Value of Whole Numbers

Lesson 1.3 Algebra ● Properties

Lesson 1.4 Algebra ● Powers of 10 and Exponents

Lesson 1.5 Algebra ● Multiplication Pattern

Lesson 1.6 Multiply by 1-Digit Numbers

Lesson 1.7 Multiply by 2-Digit Numbers

Lesson 1.8 Relate Multiplication to Division

Lesson 1.9 Problem Solving ● Multiplication and Division

Lesson 1.10 Algebra ● Numerical Expression

Lesson 1.11 Algebra ● Evaluate Numerical Expressions

Lesson 1.12 Algebra ● Grouping Symbols

Lesson 2.1 Place the First Digit

Lesson 2.2 Divide by 1-Digit Divisors

Lesson 2.3 Investigate ● Division with 2-Digit Divisors

Lesson 2.4 Partial Quotients

Lesson 2.5 Estimate with 2-Digit Divisors

Lesson 2.6 Divide by 2-digit Divisors

Lesson 2.7 Interpret the Remainder

Lesson 2.8 Adjust Quotients

Lesson 2.9 Problem Solving ● Division

Lesson 3.1 Investigate ● Thousandths

Lesson 3.2 Place Value of Decimals

Lesson 3.3 Compare and Order Decimals

Lesson 3.4 Round Decimals

Lesson 3.5 Investigate ● Decimal Addition

Lesson 3.6 Investigate ● Decimal Subtraction

Lesson 3.7 Estimate Decimal Sums and Differences

Lesson 3.8 Add Decimals

Lesson 3.9 Subtract Decimals

Lesson 3.10 Algebra ● Patterns with Decimals

Lesson 3.11 Problem Solving ● Add and Subtract Money

Lesson 3.12 Choose a Method

Lesson 4.1 Multiplication Patterns with Decimals

Lesson 4.2 Multiply Decimals and Whole Numbers

Lesson 4.3 Multiplication with Decimals and Whole Numbers

Lesson 4.4 Multiplying Using Expanded Form

Lesson 4.5 Problem Solving Multiply Money

Lesson 4.6 Investigate Decimal Multiplication

Lesson 4.7 Multiply Decimals

Lesson 4.8 Zeros in the Product

Lesson 5.1 Algebra, Division Patterns with Decimals

Lesson 5.2 Investigate, Divide Decimals by Whole Numbers

Lesson 5.3 Estimate Quotients

Lesson 5.4 Division of Decimals by Whole Numbers

Lesson 5.5 Investigate, Decimal Division

Lesson 5.6 Divide Decimal

Lesson 5.7 Write Zeros in the Dividend

Lesson 5.8 Problem Solving; Decimal Operations

Lesson 6.1 Investigate – Addition with Unlike Denominators

Lesson 6.2 Investigate – Subtraction with Unlike Denominators

Lesson 6.3 Estimate Fraction Sums and Differences

Lesson 6.4 Common Denominators and Equivalent Fractions

Lesson 6.5 Add and Subtract Fractions

Lesson 6.6 Add and Subtract Mixed Numbers

Lesson 6.7 Subtraction with Renaming

Lesson 6.8 Algebra – Patterns with Fractions

Lesson 6.9 Problem Solving – Practice Addition and Subtraction

Lesson 6.10 Algebra – Use Properties of Addition

Lesson 7.1 Find Part of a Group

Lesson 7.2 Investigate; Multiply Fractions and Whole Numbers

Lesson 7.3 Fraction and Whole Number Multiplication

Lesson 7.4 Investigate – Multiply Fractions

Lesson 7.5 Compare Fraction Factors and Products

Lesson 7.6 Fraction Multiplication

Lesson 7.7 Investigate; Area and Mixed Numbers

Lesson 7.8 Compare Mixed Number Factors and Products

Lesson 7.9 Multiply Mixed Numbers

Lesson 7.10 Problem Solving; Find Unknown Lengths

Lesson 8.1 Investigate – Divide Fractions and Whole Numbers

Lesson 8.2 Problem Solving; Use Multiplication

Lesson 8.3 Connect Fractions to Division

Lesson 8.4 Fraction and Whole-Number Division

Lesson 8.5 Interpret Division with Fractions

Lesson 9.1 Line Plots

Lesson 9.2 Ordered Pairs

Lesson 9.3 Investigate, Graph Data

Lesson 9.4 Line Graphs

Lesson 9.5 Numerical Patters

Lesson 9.6 Problem Solving | Find a Rule

Lesson 9.7 Graph and Analyze Relationships

Lesson 10.1 Customary Length

Lesson 10.2 Customary Capacity

Lesson 10.3 Weight

Lesson 10.4 Multistep Measurement Problems

Lesson 10.5 Metric Measures

Lesson 10.6 Problem Solving ⚫ Customary and Metric Conversions

Lesson 10.7 Elapsed Time

Purchasing this bundle will save you 20% versus buying each individual chapters.

Chapter 1

Students will explore multiplication and division by focusing on the relationship that one operation is the inverse of the other. They look for and make use of structure when they find patterns that connect the operations. Consider the following:

40 x 8 = 320 320 ÷ 40 = 8

8 x 40 = 320 320 ÷ 8 = 40

This relationship is an extension of the related facts students learned in previous grades.

Chapter 2

Understanding different meanings of division helps students make sense of problems and persevere in solving them. Such understanding gives students strategies to make sense of situations. This, in turn, helps them persevere in finding solutions.

Chapter 3

Students add and subtract decimals using several models. Of particular importance is the place-value model represented with base-ten blocks. As students solve addition problems with base-ten blocks where the flat is equal to one, the long is equal to one-tenth and the small cube is equal to one-hundredth, they are led to see that when adding decimals, the hundredths can be combined with hundredths, the tenths with tenths, and so on. They see that similar reasoning can be applied to subtraction. These experiences help students to look for and make use of structure as they make sense of place-value algorithms for adding and subtracting decimals.

Chapter 4

These lessons, aligned to the Common Core Standard, provide a comprehensive approach to teach multiplying decimals for fifth grade students. Components include the AIM (or Essential Question), objective, common core standard, motivation, model/teach, guided practice, independent practice and summary.

Chapter 5

These lesson plans are recommended for January or February of the school year, to 5th Grade level and are aligned to the Common Core Standards. They cover dividing with decimals and are written utilizing the workshop model and problem-based model.

Chapter 6

**This unit covers dividing decimals to provide students with opportunities to make sense of problems and persevere in solving them. Students make sense of problems when they model decimal division. The modeling helps them develop procedures for determining quotients. Eventually, students solve multistep problems involving decimal division. When they encounter difficult problems, they can use models to help them.

**Modeling operations helps students make sense of the procedures. Students make sense of procedures for dividing decimals by estimating the quotient using compatible numbers. This estimate can help the student place the decimal point after dividing. Exploring division with models and contexts and making sense of the placement of the decimal point after dividing will help students to understand how the decimal division algorithms work.

Decimal models can be used to show how to divide decimals by decimals.

Chapter 7

These lessons guide students to use models to multiply fractions, including numbers and then fractions and fractions, including mixed numbers. Students will be asked to use the area model to make sense of the algorithm for multiplying fractions. Students use appropriate tools strategically when they decide if it makes more sense to use an area model or the algorithm to determine the product.

Chapter 8

In this unit students will learn about dividing fractions by whole numbers and dividing whole numbers by fractions, they look for and make use of structure. They do this when they develop connections between whole-number division and fraction division, as well as between division expressions and related multiplication expressions. This builds a foundation for developing the fraction division algorithm.

Chapter 9

In this unit, students will graph number pairs on a coordinate grid. They will analyze patterns and then model those relationships using graphs. These experiences provide meaningful opportunities for students to model with mathematics. Early explorations, such as these, will lead students to make sense of more formal explorations in algebra in later grades like determining the slope of a line.

Chapter 10

Converting units of measure within the customary or the metric system provides students an opportunity to attend to precision. As they make conversions, they need to check the reasonableness of their results. Students who can apply the techniques on this page will be able to evaluate the reasonableness of their results.

Table of Contents

Lesson 1.1 Investigate ● Place Value and Patterns

Lesson 1.2 Place Value of Whole Numbers

Lesson 1.3 Algebra ● Properties

Lesson 1.4 Algebra ● Powers of 10 and Exponents

Lesson 1.5 Algebra ● Multiplication Pattern

Lesson 1.6 Multiply by 1-Digit Numbers

Lesson 1.7 Multiply by 2-Digit Numbers

Lesson 1.8 Relate Multiplication to Division

Lesson 1.9 Problem Solving ● Multiplication and Division

Lesson 1.10 Algebra ● Numerical Expression

Lesson 1.11 Algebra ● Evaluate Numerical Expressions

Lesson 1.12 Algebra ● Grouping Symbols

Lesson 2.1 Place the First Digit

Lesson 2.2 Divide by 1-Digit Divisors

Lesson 2.3 Investigate ● Division with 2-Digit Divisors

Lesson 2.4 Partial Quotients

Lesson 2.5 Estimate with 2-Digit Divisors

Lesson 2.6 Divide by 2-digit Divisors

Lesson 2.7 Interpret the Remainder

Lesson 2.8 Adjust Quotients

Lesson 2.9 Problem Solving ● Division

Lesson 3.1 Investigate ● Thousandths

Lesson 3.2 Place Value of Decimals

Lesson 3.3 Compare and Order Decimals

Lesson 3.4 Round Decimals

Lesson 3.5 Investigate ● Decimal Addition

Lesson 3.6 Investigate ● Decimal Subtraction

Lesson 3.7 Estimate Decimal Sums and Differences

Lesson 3.8 Add Decimals

Lesson 3.9 Subtract Decimals

Lesson 3.10 Algebra ● Patterns with Decimals

Lesson 3.11 Problem Solving ● Add and Subtract Money

Lesson 3.12 Choose a Method

Lesson 4.1 Multiplication Patterns with Decimals

Lesson 4.2 Multiply Decimals and Whole Numbers

Lesson 4.3 Multiplication with Decimals and Whole Numbers

Lesson 4.4 Multiplying Using Expanded Form

Lesson 4.5 Problem Solving Multiply Money

Lesson 4.6 Investigate Decimal Multiplication

Lesson 4.7 Multiply Decimals

Lesson 4.8 Zeros in the Product

Lesson 5.1 Algebra, Division Patterns with Decimals

Lesson 5.2 Investigate, Divide Decimals by Whole Numbers

Lesson 5.3 Estimate Quotients

Lesson 5.4 Division of Decimals by Whole Numbers

Lesson 5.5 Investigate, Decimal Division

Lesson 5.6 Divide Decimal

Lesson 5.7 Write Zeros in the Dividend

Lesson 5.8 Problem Solving; Decimal Operations

Lesson 6.1 Investigate – Addition with Unlike Denominators

Lesson 6.2 Investigate – Subtraction with Unlike Denominators

Lesson 6.3 Estimate Fraction Sums and Differences

Lesson 6.4 Common Denominators and Equivalent Fractions

Lesson 6.5 Add and Subtract Fractions

Lesson 6.6 Add and Subtract Mixed Numbers

Lesson 6.7 Subtraction with Renaming

Lesson 6.8 Algebra – Patterns with Fractions

Lesson 6.9 Problem Solving – Practice Addition and Subtraction

Lesson 6.10 Algebra – Use Properties of Addition

Lesson 7.1 Find Part of a Group

Lesson 7.2 Investigate; Multiply Fractions and Whole Numbers

Lesson 7.3 Fraction and Whole Number Multiplication

Lesson 7.4 Investigate – Multiply Fractions

Lesson 7.5 Compare Fraction Factors and Products

Lesson 7.6 Fraction Multiplication

Lesson 7.7 Investigate; Area and Mixed Numbers

Lesson 7.8 Compare Mixed Number Factors and Products

Lesson 7.9 Multiply Mixed Numbers

Lesson 7.10 Problem Solving; Find Unknown Lengths

Lesson 8.1 Investigate – Divide Fractions and Whole Numbers

Lesson 8.2 Problem Solving; Use Multiplication

Lesson 8.3 Connect Fractions to Division

Lesson 8.4 Fraction and Whole-Number Division

Lesson 8.5 Interpret Division with Fractions

Lesson 9.1 Line Plots

Lesson 9.2 Ordered Pairs

Lesson 9.3 Investigate, Graph Data

Lesson 9.4 Line Graphs

Lesson 9.5 Numerical Patters

Lesson 9.6 Problem Solving | Find a Rule

Lesson 9.7 Graph and Analyze Relationships

Lesson 10.1 Customary Length

Lesson 10.2 Customary Capacity

Lesson 10.3 Weight

Lesson 10.4 Multistep Measurement Problems

Lesson 10.5 Metric Measures

Lesson 10.6 Problem Solving ⚫ Customary and Metric Conversions

Lesson 10.7 Elapsed Time

Total Pages

366

Answer Key

N/A

Teaching Duration

1 Year

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