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## Math Expressions Links to Learnzillion Videos

The purpose of aligning the Math Expression text to the Learnzillion videos is to provide a resource for students, parents, and teachers. Students, parents, and teachers can quickly find Learnzillion math videos to supplement the Math Expressions text. Math Expressions and Learnzillion are different resources that both support the Utah State Core Standards. Not every lesson from Math Expressions and every standard from the Utah State Core is supported by a Learnzillion video lesson as of this time. More support content will be added as it becomes available.

### Unit 1 Unit 2 Unit 3 Unit 4 Unit 5 Unit 6 Unit 7 Unit 8

# Unit 1: Place Value and Multidigit Addition and Subtraction

## Big Idea 1: Place Value to One Million, Lessons 1-5

Lesson 1. Place Value to Thousands

Understand relationships between digits and their place value (4.NBT.1)

Use place value chart and arrow cards to understand large numbers (4.NBT.1)

Find place value: using pictures (4.NBT.2)

Understand place value: multiplying by a power of 10 (4.NBT.1)

Lesson 2. Place Value Patterns

Read and write numbers in numeric form (4.NBT.2)

Read and write numbers in word form (4.NBT.2)

Read and write numbers with zeros (4.NBT.2)

Read and write numbers in expanded form (4.NBT.2)

Write numbers in word form: using place values (4.NBT.2)

Compare numbers: using place values (4.NBT.2)

Compare numbers using the symbols <, >, and = (4.NBT.2)

Lesson 3. Round Numbers

Round numbers to the leading digit using a number line (4.NBT.3)

Round numbers to a specified place on a number line (4.NBT.3)

Round 9′s using base ten blocks (4.NBT.3)

Round in real-life situations (4.NBT.3)

Lesson 4. Numbers to One Million

Use place value chart and arrow cards to understand large numbers (4.NBT.1)

Lesson 5. Compare and Round Greater Numbers (Use links in lessons 1-4)

## Big Idea 2: Addition with Greater Numbers, Lessons 6-8

Lesson 6. Make New Groups for Addition

Lesson 7. Add Greater Numbers

Lesson 8. Estimation and Mental Math

Check your answer to an addition problem: using regrouping (4.OA.3)

Check your answer to an addition problem: using rounding (1) (4.OA.3)

Check your answer to an addition problem: using clustering (4.OA.3)

Check your answer to an addition problem: using rounding (2) (4.OA.3)

## Big Idea 3: Subtraction with Greater Numbers, Lessons 9-13

Lesson 9. Subtract from Thousands

Check your answer to a subtraction problem: using rounding (1) (4.OA.3)

Lesson 10. Subtraction Undoes Addition

Lesson 11. Subtract Greater Numbers

Lesson 12. Practice Addition and Subtraction

Lesson 13. Problem Solving with Greater Numbers

Solve subtraction word problems: using algebraic thinking (4.OA.3)

Check your answer to a subtraction problem: using rounding (1) (4.OA.3)

Check your answer to a subtraction problem: using rounding (2) (4.OA.3)

# Unit 2: Multiplication with Whole Numbers

## Big Idea 1: Multiplication with Tens and Hundreds, Lessons 1-3

Lesson 1. Arrays and Area Models

Solve 1 by 1 digit multiplication problems: using area model (4.NBT.5)

Lesson 2. Connect Place Value and Multiplication

Lesson 3. Mental Math and Multiplication

## Big Idea 2: Multiply by One-Digit Numbers, Lessons 4-11

Lesson 4. Model One-Digit by Two-Digit Multiplication

Solve 1 by 1 digit multiplication problems: using area model (4.NBT.5)

Lesson 5. Estimate Products

Lesson 6. Use Place Value to Multiply

Solve 1 by 1 digit multiplication problems: using area model (4.NBT.5)

Lesson 7. Algebraic Notation Method

Lesson 8. Compare Methods of One-Digit by Two-Digit Multiplication

Lesson 9. Discuss Different Methods

Lesson 10. One-Digit by Three-Digit Multiplication

Lesson 11. Multistep Word Problems

## Big Idea 3: Multiplication with Two-Digit Numbers, Lessons 12-15

Lesson 12. Two-Digit by Two-Digit Multiplication

Solve 2 by 2 digit multiplication problems: using partial products (4.NBT.5)

Solve 2 by 2 digit multiplication problems: using partial products (4.NBT.5)

Lesson 13. Different Methods for Two-Digit Multiplication

Lesson 14. Check Products of Two-Digit Numbers (see links in lesson12)

Lesson 15. Practice Multiplication (see links in lesson 12)

## Big Idea 4: Multiplication with Thousands, Lessons 16-18

Lesson 16. Multiply One-Digit and Four-Digit Numbers

Lesson 17. Use the Shortcut Method

Lesson18. Practice Multiplication

Multiply multi-digit numbers using an area model (5.NBT.5)

Multiply multi-digit numbers using partial products (5.NBT.5)

# Unit 3: Division with Whole Numbers

## Big Idea 1: Dividing Whole Numbers, Lessons 1-6

Lesson 1. Divide with Remainders

Divide two-digit dividends using friendly multiples (4.NBT.6)

Report remainders as whole numbers by drawing pictures to round up or down (4.NBT.6)

Lesson 2. Relate 3-Digit Multiplication to Division

Solve division problems without remainders: using multiplication rules (4.NBT.6)

Solve division problems: using inverse operations (4.NBT.6)

Lesson 3. Discuss 2-Digit and 4-Digit Quotients

Divide four-digit dividends (4.NBT.6)

Lesson 4. Digit-by-Digit Method

Lesson 5. Relate Three Methods

Divide four-digit dividends (4.NBT.6)

Lesson 6. Divide by Any Method

Divide four-digit dividends (4.NBT.6)

Report remainders as fractions (4.NBT.6)

Report remainders as whole numbers by drawing pictures to round up or down (4.NBT.6)

Divide two-digit dividends using friendly multiples (4.NBT.6)

Solve division problems: using inverse operations (4.NBT.6)

Solve division problems: using picture model (4.NBT.6)

Solve division problems: using array (4.NBT.6)

Solve division problems without remainders: using multiplication rules (4.NBT.6)

## Big Idea 2: Division Issues and Word Problems, Lessons 7-10

Lesson 7. Just-Under Quotients Digits (Use links in lessons 1-6)

Lesson 8. Estimate to Check Quotients (Use links in lessons 1-6)

Lesson 9. Make Sense of Remainders (Use links in lessons 1-6)

Lesson 10. Mixed Problem Solving (Use links in lessons 1-6)

# Unit 4: Equations and Word Problems

### Big Idea 1: Reasoning and Solving Problems, Lessons 1-3 (see student text page S3)

Lesson 1. Properties and Algebraic Notation

Lesson 2. Situation and Solution Equations for Addition and Subtraction

Solve subtraction word problems: using algebraic thinking (4.OA.3)

Solve addition word problems: using algebraic thinking (4.OA.3)

Lesson 3. Situation and Solution Equations for Multiplication and Division

Solve multiplication word problems: using algebraic thinking (4.OA.3

### Big Idea 2: Comparison Word Problems, Lessons 4-6 (see student text p. S7-S8)

Lesson 4. Multiplication Comparisons

Lesson 5. Discuss Comparison Problems

Lesson 6. Graphs and Comparison Problems

## Big Idea 3: Problems with More Than One Step, Lessons 7-9

Solve multi-step problems: using multiple operations (4.OA.3)

Lesson 7. Solve Two-Step Problems

Lesson 8. Solve Multistep Problems

Lesson 9. Practice Multistep Problem

## Big Idea 4: Analyzing Patterns, Lessons 10-11

Lesson 10. Factors and Prime Numbers

Find multiples by using a number line (4.OA.4)

Use divisibility rules to determine if a number is a multiple of 2, 3, or 6 (4.OA.4)

Determine all multiples of a number using number bonds (4.OA.4)

Use divisibility rules to determine if a number is a multiple of 4 or 7 (4.OA.4)

Determine multiples of a number using a table (4.OA.4)

Use divisibility rules to determine if a number is a multiple of 2, 5, or 10 (4.OA.4)

Find all the factor pairs of a number using area models (4.OA.4)

Find all factor pairs of a number using a t-chart (4.OA.4)

Determine if a number is prime or composite using area models (4.OA.4)

Determine multiples of a number using area models (4.OA.4)

Lesson 11. Analyze Patterns

Determine the rule in patterns that decrease (4.OA.5)

Using a table to find the rule for a geometric triangle pattern (4.OA.5)

Find the rule for a function machine using a vertical table (4.OA.5)

Extend a fraction pattern using a number line (4.OA.5)

Understand repeating patterns (4.OA.5)

Generate a pattern sequence using a t-chart (4.OA.5)

Find missing elements in growing patterns (4.OA.5)

Find the missing inputs for a function machine using a vertical table (4.OA.5

Find the 9th shape for a geometric pattern using a table (4.OA.5)

# Unit 5: Measurement

### Big Idea 1: Converting Measurements, Lessons 1-5 (see student text page S1)

Estimate mass in kilograms using benchmarks (3.MD.2)

Understand volume and how volume is measured (3.MD.2)

Measure mass in grams (3.MD.2)

Measure mass in kilograms (3.MD.2)

Understand mass and how mass is measured (3.MD.2)

Lesson 1. Measure Length

Lesson 2. Metric Measures of Liquid Volume and Mass

Lesson 3. Units of Time (see student text page S2)

Solving elapsed time word problems to the nearest minute (3.MD.1)

Drawing the exact time on a clock (3.MD.1)

Solving elapsed time word problems using a t-char (3.MD.1)

Solving elapsed time word problems to the nearest hour (3.MD.1)

Reading the exact minute on a clock (3.MD.1)

Reading the exact time on a clock (3.MD.1)

Solving elapsed time word problems to the nearest five minutes (3.MD.1)

Lesson 4. Customary Measures of Length

Lesson 5. Customary Measures of Weight and Liquid Volume

### Big Idea 2: Perimeter and Area, Lessons 6-7 (see student text page S2)

Lesson 6. Perimeter and Area Rectangles

Find the area of a square or rectangle by counting unit squares (3.MD.6)

Relate area to arrays (3.MD.7)

Find the area of a rectangle: using arrays (3.MD.7a)

Find the area of a rectangle: using side lengths (3.MD.7b)

Find perimeter with missing side lengths (3.MD.8)

Find the perimeter of a polygon (3.MD.8)

Find the perimeter of a square or rectangle by adding side lengths (3.MD.8)

Find the perimeter of a polygon in real world problems (3.MD.8)

Lesson 7. Solve Measurement Problems

# Unit 6: Fraction Concepts and Operations

## Big Idea 1: Fractions with Like Denominators, Lessons 1-3

Lesson 1. Understand Fractions

Decompose a fraction into a sum of fractions using an area model (4.NF.3a)

Find a fraction: identifying the parts of a whole (4.NF.3a)

Identify the parts of a set to find a fraction (4.NF.3a)

Decompose fractions (4.NF.3b)

Count fractions to make 1 whole (3.NF.1)

Write fractions of a set (1) (3.NF.1)

Lesson 2. Fractions that Add to One

Lesson 3. Add and Subtract Fractions with Like Denominators

Add fractions with like denominators using a number line (4.NF.3a)

Subtract fractions by separating parts (4.NF.3a)

Add fractions with like denominators using an area model (4.NF.3a)

Decompose fractions (4.NF.3b)

Subtract fractions with like denominators using a number line (4.NF.3b)

Subtract fractions with like denominators using an area model (4.NF.3b)

Decompose fractions: using addition (4.NF.3b)

Subtract fractions with like denominators: labeling shapes (4.NF.3c)

Subtract fractions with like denominators: labeling sets (4.NF.3c)

Subtract fractions with like denominators starting from less than 1 whole (4.NF.3c)

Add fractions with like denominators in number sentences (4.NF.3c)

Add fractions with like denominators from two different wholes (4.NF.3c)

## Big Idea 2: Mixed Numbers with Like Denominators, Lessons 4-6

Lesson 4. Mixed Numbers and Fractions Greater Than 1

Write fractions: dividing shapes (4.NF.3)

Write mixed number fractions: drawing shapes (4.NF.3)

Convert fractions into mixed numbers: dividing (4.NF.3)

Lesson 5. Add and Subtract Mixed Numbers with Like Denominators

Adding mixed numbers using properties of operations (4.NF.3c)

Adding mixed numbers by creating equivalent fractions (4.NF.3c)

Subtracting mixed numbers by creating equivalent fractions (4.NF.3c)

Lesson 6. Practice with Fractions and Mixed Numbers (see links from lessons 4 & 5)

## Big Idea 3: Multiply Fractions and Whole Numbers, Lessons 7-9

Lesson 7. Multiply a Fraction by a Whole Number

Multiply a fraction by a whole number using visual models and repeated addition (4.NF.4a)

Multiply fractions by whole numbers: using repeated addition (4.NF.4a)

Solve word problems involving multiplying a fraction by a whole number (4.NF.4c)

Multiply fractions by whole numbers: using models (4.NF.4c)

Lesson 8. Practice Multiplying a Fraction by a Whole Number (see links from lesson7)

Lesson 9. Mixed Practice (see links from lesson 7)

# Unit 7: Fractions and Decimals

## Big Idea 1: Comparing Fractions, Lessons 1-3

Lesson 1. Compare Fractions

Compare fractions with different numerators and denominators by multiplying or dividing by 1 (4.NF.2)

Compare fractions to a benchmark of one half using area models (4.NF.2)

Compare fractions to a benchmark of one using number lines (4.NF.2)

Compare fractions with different numerators and denominators (4.NF.2)

Compare fractions to a benchmark of one using area models (4.NF.2)

Compare fractions with different numerators and denominators (4.NF.2)

Compare fractions with different denominators using number lines (4.NF.2)

Represent a fraction greater than one using area models (4.NF.2)

Compare fractions with different denominators using area models (4.NF.2)

Compare fractions with different denominators using set models (4.NF.2)

Compare fractions by creating common denominators (4.NF.2)

Compare fractions using the benchmark fraction 1/2 (4.NF.2)

Compare fractions using the benchmark of one whole (4.NF.2)

Compare fractions to the benchmark of 3/4 (4.NF.2)

Compare fractions: using a set model (4.NF.2)

Compare fractions to the benchmark of 1/2 (4.NF.2)

Order fractions: using visual models (4.NF.2)

Order fractions: using common denominators (4.NF.2)

Compare fractions to the benchmark of 1/4 (4.NF.2)

Understand the denominator (4.NF.2)

Understand the denominator (4.NF.2)

Lesson 2. Fractions on the Number Line

Create common denominators using number lines (4.NF.2)

Compare fractions to a benchmark of one half using number lines (4.NF.2)

Compare fractions to a benchmark of one using number lines (4.NF.2)

Compare fractions with different denominators using number lines (4.NF.2)

Use a number line to represent a fraction greater than one (4.NF.2)

Compare fractions: using a number line (4.NF.2)

Lesson 3. Fractions on Different-Size Wholes (see links for lessons 1 & 2)

## Big Idea 2: Equivalent Fractions, Lessons 4-7

Lesson 4. Equivalent Fractions Using Multiplication

Recognize equivalent fractions using number lines (4.NF.1)

Generate equivalent fractions using area models (4.NF.1)

Generate equivalent fractions using number lines (4.NF.1)

Recognize equivalent fractions using area models (4.NF.1)

Create equivalent fractions using an area model (4.NF.1)

Create equivalent fractions using a number line (4.NF.1)

Make equivalent fractions: using an equation (4.NF.1)

Lesson 5. Equivalent Fractions Using Division (see links for lesson 4)

Lesson 6. Compare Fractions with Unlike Denominators (see links for lesson 4)

Lesson 7. Fractions and Line Plots

## Big Idea 3: Understanding Decimals, Lessons 8-12

Lesson 8. Relate Fractions and Decimals

Lesson 9. Explore Decimal Numbers

Add tenths and hundredths by creating equivalent fractions (4.NF.5)

Add fractions with tenths and hundredths denominators (4.NF.5)

Convert fractions to decimals to the hundredths place using division (4.NF.6)

Convert decimals to fractions to the tenths place using number lines (4.NF.6)

Convert decimals to fractions to the hundredths place using visual aids (4.NF.6)

Convert fractions into decimals to the hundredths place (4.NF.6)

Convert fractions into decimals to the tenths place (4.NF.6)

Lesson 10. Compare Decimals to Hundredths (see links for lesson 9)

Lesson 11. Decimals Greater Than 1 (see links for lesson 9)

Lesson 12. Compare Decimals Greater Than 1 (see links for lesson 9)

# Unit 8: Geometry

## Big Idea 1: Measuring and Drawing Angles, Lessons 1-3

Lesson 1. Points, Rays, and Angles

Lesson 2. Measuring Angles

Lesson 3. Circles and Angles

## Big Idea 2: Triangles and Angle Measurements, Lessons 4-6

Lesson 4. Name Triangles

Lesson 5. Compose and Decompose Angles

Lesson 6. Real World Problems

## Big Idea 3: Analyzing Quadrilaterals, Lessons 7-9

Lesson 7. Parallel and Perpendicular Lines and Line Segments

Lesson 8. Classify Quadrilaterals

Lesson 9. Decompose Quadrilaterals and Triangles

Big Idea 4: Analyzing Polygons, Lessons 10-11

Lesson 10. Classify Polygons

Lesson 11. Line Symmetry