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These 102 lessons accompany and are based on Go Math textbook (4th 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 23% versus buying each individual chapters.

Chapter 1 Place Value, Addition, and Subtraction to One Million

Our place-value system provides many opportunities for students to look for and make use of structure. Students can use patterns in the place-value system to deepen their understanding of a number. This understanding leads students to expect structure.

Lesson 1.1 Model Place Value Relationships

Lesson 1.2 Read and Write Numbers

Lesson 1.3 Compare and Order Numbers

Lesson 1.4 Round Numbers

Lesson 1.5 Rename Numbers

Lesson 1.6 Add Whole Numbers

Lesson 1.7 Subtract Whole Numbers

Lesson 1.8 Comparing Problems with Addition and Subtraction

Chapter 2 Multiply by 1-Digit Numbers

Students should have opportunities to explore different strategies for multiplication. This builds meaning for the operation and contributes to their fluency in the operation. Further, discussing their strategies allows them to share ideas and build more understanding. These experiences help students make sense of problems and persevere in solving them.

Lesson 2.1 Multiplication Comparison

Lesson 2.2 Comparison Problems

Lesson 2.3 Multiply Tens, Hundreds, and Thousands

Lesson 2.4 Estimate Products

Lesson 4.5 Investigate ● Multiply Using the Distributive Property

Lesson 2.6 Multiply Using Expanded Form

Lesson 2.7 Multiply Using Partial Products

Lesson 2.8 Multiply Using Mental Math

Lesson 2.9 Problem Solving ● Multistep Multiplication Problems

Lesson 2.10 Multiply 2-Digit Numbers with Regrouping

Lesson 2.11 Multiply 3-Digit and 4-Digit Numbers with Regrouping

Lesson 2.12 Algebra ● Solve Multistep Problems Using Equations

Chapter 3 Multiply 2-Digit Numbers

When students connect the area representation of two-digit multiplication to place value within the partial products, they have an opportunity to reason abstractly and quantitatively. The sizes of the rectangles reflect the relative sizes of the partial products. Knowing this can be a quick way to check the reasonableness of their work.

Lesson 3.1 Multiply by Tens

Lesson 3.2 Estimate Products

Lesson 3.3 Investigate | Area Models and Partial Products

Lesson 3.4 Multiply Using Partial Products

Lesson 3.5 Multiply with Regrouping

Lesson 3.6 Choose a Multiplication Method

Lesson 3.7 Problem Solving | Multiply 2-Digit Numbers

Chapter 4 Divide by 1-Digit Numbers

Learning division concepts offers many opportunities for students to attend to precision. Placing the first digit in the quotient relies on their understanding of place value and number sense. They also need to understand the effect of the operation and the meaning of the remainder in order to give accurate solutions to problems.

Lesson 4.1 Estimate Quotients Using Multiples

Lesson 4.2 Investigate | Remainders

Lesson 4.3 Interpret the Remainder

Lesson 4.4 Divide Tens, Hundreds, and Thousands

Lesson 4.5 Estimate Quotients Using Compatible Numbers

Lesson 4.6 Investigate | Division and the Distributive Property

Lesson 4.7 Investigate | Divide Using Repeated Substractions

Lesson 4.8 Divide Using Partial Quotients

Lesson 4.9 Investigate | Model Division with Regrouping

Lesson 4.10 Place the First Digit

Lesson 4.11 Divide by 1-Digit Numbers

Lesson 4.12 Problem Solving | Multistep Division Problems

Chapter 5 Factors, Multiples, and Patterns

As students study factors and multiples, it will be beneficial for them to look for and express regularity in repeated reasoning. For instance, when examining factors of square numbers (e.g., 4, 9, 16) students will begin to notice that there will always be one factor repeated so that it does not have a “partner” like all of the other factors of the square number.

Lesson 5.1 Model Factors

Lesson 5.2 Factors and Divisibility

Lesson 5.3 Problem Solving | Common Factors

Lesson 5.4 Factors and Multiples

Lesson 5.5 Prime and Composite Numbers

Chapter 6 Fraction Equivalence and Comparison

Students will learn to reason about fractions to find equivalent fractions and to compare and order fractions. This improves their number sense as it relates to fractions, or fraction sense. For example, if only one fraction in a set of three fractions is less than12, then that leaves only two fractions left to compare. These experiences help students to look for and express regularity in repeated reasoning.

Lesson 6.1 Investigate • Equivalent Fractions

Lesson 6.2 Generate Equivalent Fractions

Lesson 6.3 Simplest Form

Lesson 6.4 Common Denominators

Lesson 6.5 Problem Solving • Find Equivalent Fractions

Lesson 6.6 Compare Fractions Using Benchmarks

Lesson 6.7 Compare Fractions

Lesson 6.8 Compare and Order Fractions

Chapter 7 Add and Subtract Fractions

When learning to add and subtract fractions and mixed number, students need many opportunities to make sense of problems and build meaning for the algorithms. This is facilitated by solving problems situated in real-world contexts by representing them with models and symbols. They also apply properties to solve problems and symbols. They also apply properties to solve problems and use proper language to explain solution processes. Students who use these methods to develop meaning will also find it east to attend to precision.

Lesson 7.1 Investigate | Add and Subtract Parts of a Whole

Lesson 7.2 Write Fractions as Sums

Lesson 7.3 Add Fractions Using Models

Lesson 7.4 Subtract Fractions Using Models

Lesson 7.5 Add and Subtract Fractions

Lesson 7.6 Rename Fractions and Mixed Numbers

Lesson 7.7 Add and Subtract Mixed Numbers

Lesson 7.8 Subtract with Renaming

Lesson 7.9 Algebra | Fractions and Properties of Addition

Lesson 7.10 Problem Solving | Multistep Fraction Problems

Chapter 8 Multiply Fractions by Whole Numbers

As students explore different strategies to multiply a fraction by a whole number, they develop ways to explain their work and reasoning. Working with are representation, counters, and number line strategies gives students many opportunities to construct viable arguments and critique the reasoning of others.

Lesson 8.1 Multiples of Unit Fractions

Lesson 8.2 Multiples of Fractions

Lesson 8.3 Multiply a Fraction by a Whole Number Using Models

Lesson 8.4 Multiply a Fraction of Mixed Number by a Whole Number

Lesson 8.5 Problem Solving ● Comparison Problems with Fractions

Chapter 9 Relate Fractions and Decimals

Students model with mathematics as they explore, interpret, represent, and describe decimal fractions. Students use tools such as decimal squares and number lines to build relationships between decimal numbers and their corresponding fractions.

Lesson 9.1 Relate Tenths and Decimals

Lesson 9.2 Relate Hundredths and Decimals

Lesson 9.3 Equivalent Fractions and Decimals

Lesson 9.4 Relate Fractions, Decimals and Money

Lesson 9.5 Problem Solving | Money

Lesson 9.6 Add Fractional Parts of 10 and 100

Lesson 9.7 Compare Decimals

Chapter 10 Two-Dimensional Figures

To model with mathematics in geometry involves hands-on application of the concepts. For example, using the concept of line symmetry for polygons can be helpful when students are folding napkins to decorate a dinner table or folding paper for origami figures. Furthermore, students’ knowledge of polygons and their classifications can be applicable in other school subjects such as art.

Lesson 10.1 Lines, Rays and Angles

Lesson 10.2 Classify Triangles

Lesson 10.3 Parallel Lines and Perpendicular Lines

Lesson 10.4 Classify Quadrilaterals

Lesson 10.5 Line Symmetry

Lesson 10.6 Find and Draw Lines of Symmetry

Lesson 10.7 Problem Solving | Shape Patterns

Chapter 11 Angles

Using a protractor to measure angles calls for students to reason abstractly and quantitatively. Students are often confused about which of the two scales to read on a protractor. If they think about the definitions of acute and obtuse angles, they can always choose the correct number. Visual inspection of angles will help students decide whether to choose the measure less than 90 degrees or the measure greater than 90 degrees.

Lesson 11.1 Investigate | Angles and Fractional Parts of a Circle

Lesson 11.2 Degrees

Lesson 11.3 Measure and Draw Angles

Lesson 11.4 Investigate | Join and Separate Angles

Lesson 11.5 Problem Solving | Unknown Angle Measures

Chapter 12 Relative Sizes of Measurement Units

Working with measurement concepts gives students multiple opportunities to attend to precision. They may use the relative sizes of units to evaluate the reasonableness of their results. Or, they may use benchmark measures to estimate length, weight, and volume.

Lesson 12.1 Measurement Benchmarks

Lesson 12.2 Customary Units of Length

Lesson 12.3 Customary Units of Weights

Lesson 12.4 Customary Units of Liquid Volume

Lesson 12.5 Line Plots

Lesson 12.6 Investigate | Metric Units of Length

Lesson 12.7 Metric Units of Mass and Liquid Volume

Lesson 12.8 Units of Time

Lesson 12.9 Problem Solving | Elapsed Time

Lesson 12.10 Mixed Measures

Lesson 12.11 Algebra | Patterns in Measurement Units

Chapter 13 Algebra: Perimeter and Area

When students begin to explore measurement attributes such as perimeter and area of common polygons (e.g., rectangles and squares), they should look for and make use of structures. For instance, once students study the concepts or perimeter for squares, they should consider the similarity between squares and rectangles that are not squares. They should be able to make some conjectures about the perimeter of rectangles that are not squares.

Lesson 13.1 Perimeter

Lesson 13.2 Area

Lesson 13.3 Area of Combined Rectangles

Lesson 13.4 Find Unknown Measures

Lesson 13.5 Problem Solving | Find the Area

Purchasing this bundle will save you 23% versus buying each individual chapters.

Chapter 1 Place Value, Addition, and Subtraction to One Million

Our place-value system provides many opportunities for students to look for and make use of structure. Students can use patterns in the place-value system to deepen their understanding of a number. This understanding leads students to expect structure.

Lesson 1.1 Model Place Value Relationships

Lesson 1.2 Read and Write Numbers

Lesson 1.3 Compare and Order Numbers

Lesson 1.4 Round Numbers

Lesson 1.5 Rename Numbers

Lesson 1.6 Add Whole Numbers

Lesson 1.7 Subtract Whole Numbers

Lesson 1.8 Comparing Problems with Addition and Subtraction

Chapter 2 Multiply by 1-Digit Numbers

Students should have opportunities to explore different strategies for multiplication. This builds meaning for the operation and contributes to their fluency in the operation. Further, discussing their strategies allows them to share ideas and build more understanding. These experiences help students make sense of problems and persevere in solving them.

Lesson 2.1 Multiplication Comparison

Lesson 2.2 Comparison Problems

Lesson 2.3 Multiply Tens, Hundreds, and Thousands

Lesson 2.4 Estimate Products

Lesson 4.5 Investigate ● Multiply Using the Distributive Property

Lesson 2.6 Multiply Using Expanded Form

Lesson 2.7 Multiply Using Partial Products

Lesson 2.8 Multiply Using Mental Math

Lesson 2.9 Problem Solving ● Multistep Multiplication Problems

Lesson 2.10 Multiply 2-Digit Numbers with Regrouping

Lesson 2.11 Multiply 3-Digit and 4-Digit Numbers with Regrouping

Lesson 2.12 Algebra ● Solve Multistep Problems Using Equations

Chapter 3 Multiply 2-Digit Numbers

When students connect the area representation of two-digit multiplication to place value within the partial products, they have an opportunity to reason abstractly and quantitatively. The sizes of the rectangles reflect the relative sizes of the partial products. Knowing this can be a quick way to check the reasonableness of their work.

Lesson 3.1 Multiply by Tens

Lesson 3.2 Estimate Products

Lesson 3.3 Investigate | Area Models and Partial Products

Lesson 3.4 Multiply Using Partial Products

Lesson 3.5 Multiply with Regrouping

Lesson 3.6 Choose a Multiplication Method

Lesson 3.7 Problem Solving | Multiply 2-Digit Numbers

Chapter 4 Divide by 1-Digit Numbers

Learning division concepts offers many opportunities for students to attend to precision. Placing the first digit in the quotient relies on their understanding of place value and number sense. They also need to understand the effect of the operation and the meaning of the remainder in order to give accurate solutions to problems.

Lesson 4.1 Estimate Quotients Using Multiples

Lesson 4.2 Investigate | Remainders

Lesson 4.3 Interpret the Remainder

Lesson 4.4 Divide Tens, Hundreds, and Thousands

Lesson 4.5 Estimate Quotients Using Compatible Numbers

Lesson 4.6 Investigate | Division and the Distributive Property

Lesson 4.7 Investigate | Divide Using Repeated Substractions

Lesson 4.8 Divide Using Partial Quotients

Lesson 4.9 Investigate | Model Division with Regrouping

Lesson 4.10 Place the First Digit

Lesson 4.11 Divide by 1-Digit Numbers

Lesson 4.12 Problem Solving | Multistep Division Problems

Chapter 5 Factors, Multiples, and Patterns

As students study factors and multiples, it will be beneficial for them to look for and express regularity in repeated reasoning. For instance, when examining factors of square numbers (e.g., 4, 9, 16) students will begin to notice that there will always be one factor repeated so that it does not have a “partner” like all of the other factors of the square number.

Lesson 5.1 Model Factors

Lesson 5.2 Factors and Divisibility

Lesson 5.3 Problem Solving | Common Factors

Lesson 5.4 Factors and Multiples

Lesson 5.5 Prime and Composite Numbers

Chapter 6 Fraction Equivalence and Comparison

Students will learn to reason about fractions to find equivalent fractions and to compare and order fractions. This improves their number sense as it relates to fractions, or fraction sense. For example, if only one fraction in a set of three fractions is less than12, then that leaves only two fractions left to compare. These experiences help students to look for and express regularity in repeated reasoning.

Lesson 6.1 Investigate • Equivalent Fractions

Lesson 6.2 Generate Equivalent Fractions

Lesson 6.3 Simplest Form

Lesson 6.4 Common Denominators

Lesson 6.5 Problem Solving • Find Equivalent Fractions

Lesson 6.6 Compare Fractions Using Benchmarks

Lesson 6.7 Compare Fractions

Lesson 6.8 Compare and Order Fractions

Chapter 7 Add and Subtract Fractions

When learning to add and subtract fractions and mixed number, students need many opportunities to make sense of problems and build meaning for the algorithms. This is facilitated by solving problems situated in real-world contexts by representing them with models and symbols. They also apply properties to solve problems and symbols. They also apply properties to solve problems and use proper language to explain solution processes. Students who use these methods to develop meaning will also find it east to attend to precision.

Lesson 7.1 Investigate | Add and Subtract Parts of a Whole

Lesson 7.2 Write Fractions as Sums

Lesson 7.3 Add Fractions Using Models

Lesson 7.4 Subtract Fractions Using Models

Lesson 7.5 Add and Subtract Fractions

Lesson 7.6 Rename Fractions and Mixed Numbers

Lesson 7.7 Add and Subtract Mixed Numbers

Lesson 7.8 Subtract with Renaming

Lesson 7.9 Algebra | Fractions and Properties of Addition

Lesson 7.10 Problem Solving | Multistep Fraction Problems

Chapter 8 Multiply Fractions by Whole Numbers

As students explore different strategies to multiply a fraction by a whole number, they develop ways to explain their work and reasoning. Working with are representation, counters, and number line strategies gives students many opportunities to construct viable arguments and critique the reasoning of others.

Lesson 8.1 Multiples of Unit Fractions

Lesson 8.2 Multiples of Fractions

Lesson 8.3 Multiply a Fraction by a Whole Number Using Models

Lesson 8.4 Multiply a Fraction of Mixed Number by a Whole Number

Lesson 8.5 Problem Solving ● Comparison Problems with Fractions

Chapter 9 Relate Fractions and Decimals

Students model with mathematics as they explore, interpret, represent, and describe decimal fractions. Students use tools such as decimal squares and number lines to build relationships between decimal numbers and their corresponding fractions.

Lesson 9.1 Relate Tenths and Decimals

Lesson 9.2 Relate Hundredths and Decimals

Lesson 9.3 Equivalent Fractions and Decimals

Lesson 9.4 Relate Fractions, Decimals and Money

Lesson 9.5 Problem Solving | Money

Lesson 9.6 Add Fractional Parts of 10 and 100

Lesson 9.7 Compare Decimals

Chapter 10 Two-Dimensional Figures

To model with mathematics in geometry involves hands-on application of the concepts. For example, using the concept of line symmetry for polygons can be helpful when students are folding napkins to decorate a dinner table or folding paper for origami figures. Furthermore, students’ knowledge of polygons and their classifications can be applicable in other school subjects such as art.

Lesson 10.1 Lines, Rays and Angles

Lesson 10.2 Classify Triangles

Lesson 10.3 Parallel Lines and Perpendicular Lines

Lesson 10.4 Classify Quadrilaterals

Lesson 10.5 Line Symmetry

Lesson 10.6 Find and Draw Lines of Symmetry

Lesson 10.7 Problem Solving | Shape Patterns

Chapter 11 Angles

Using a protractor to measure angles calls for students to reason abstractly and quantitatively. Students are often confused about which of the two scales to read on a protractor. If they think about the definitions of acute and obtuse angles, they can always choose the correct number. Visual inspection of angles will help students decide whether to choose the measure less than 90 degrees or the measure greater than 90 degrees.

Lesson 11.1 Investigate | Angles and Fractional Parts of a Circle

Lesson 11.2 Degrees

Lesson 11.3 Measure and Draw Angles

Lesson 11.4 Investigate | Join and Separate Angles

Lesson 11.5 Problem Solving | Unknown Angle Measures

Chapter 12 Relative Sizes of Measurement Units

Working with measurement concepts gives students multiple opportunities to attend to precision. They may use the relative sizes of units to evaluate the reasonableness of their results. Or, they may use benchmark measures to estimate length, weight, and volume.

Lesson 12.1 Measurement Benchmarks

Lesson 12.2 Customary Units of Length

Lesson 12.3 Customary Units of Weights

Lesson 12.4 Customary Units of Liquid Volume

Lesson 12.5 Line Plots

Lesson 12.6 Investigate | Metric Units of Length

Lesson 12.7 Metric Units of Mass and Liquid Volume

Lesson 12.8 Units of Time

Lesson 12.9 Problem Solving | Elapsed Time

Lesson 12.10 Mixed Measures

Lesson 12.11 Algebra | Patterns in Measurement Units

Chapter 13 Algebra: Perimeter and Area

When students begin to explore measurement attributes such as perimeter and area of common polygons (e.g., rectangles and squares), they should look for and make use of structures. For instance, once students study the concepts or perimeter for squares, they should consider the similarity between squares and rectangles that are not squares. They should be able to make some conjectures about the perimeter of rectangles that are not squares.

Lesson 13.1 Perimeter

Lesson 13.2 Area

Lesson 13.3 Area of Combined Rectangles

Lesson 13.4 Find Unknown Measures

Lesson 13.5 Problem Solving | Find the Area

Total Pages

N/A

Answer Key

N/A

Teaching Duration

1 Year

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