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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: Addition and Subtraction with Fractions

## Big Idea 1: Equivalent Fractions, Lessons 1 - 5

Lesson 1. Introduce the MathBoard

Lesson 2. Explain Equivalent Fractions

Identify common equivalent fractions: using a visual model

Create equivalent fractions: using the identity principle

Lesson 3. Equivalent Fractions and Multipliers (see links for videos above)

Lesson 4. Strategies for Comparing Fractions (see links for videos above)

Lesson 5. Fractions Greater Than One

Break fractions down into their component parts

## Big Idea 2: Addition and Subtraction of Fractions, Lessons 6 - 12

Lesson 6. Add and Subtract Like Mixed Numbers

Add and subtract fractions with like denominators

Lesson 7. Add Unlike Fractions

Add unlike fractions using equivalent fractions and the number line

Add fractions with different denominators using fraction bars

Add and subtract fractions with like denominators

Add and subtract fractions with unlike denominators

Estimate the addition of fractions with unlike denominators using a benchmark fraction

Estimate fraction sums and differences using benchmark fractions

Solve word problems using number lines to add unlike fractions

Use a model to solve word problems involving addition of fractions with unlike denominators

Solve word problems with addition of unlike denominators by creating like denominators

Lesson 8. Subtract Unlike Fractions

Subtract unlike fractions using equivalent fractions and the number line

Subtract fractions with different denominators using fraction bars

Estimate the subtraction of fractions with unlike denominators using a benchmark fraction

Use a model to solve word problems involving subtraction of fractions with unlike denominators

Solve word problems with subtraction of unlike denominators by creating like denominators

Estimate the subtraction of fractions with unlike denominators using a benchmark fraction

Lesson 9. Solve with Unlike Mixed Numbers

Add mixed number fractions with different denominators using area models

Subtract mixed number fractions with different denominators using area models

Solve word problems using number lines to subtract unlike mixed number fractions

Solve word problems using area models to add unlike mixed number fractions

Solve word problems using area models to subtract unlike mixed number fractions

Lesson 10. Practice with Unlike Mixed Numbers (see links for videos above)

Lesson 11. Reasonable Answers (see links for videos above)

Lesson 12. Real World Problems (see links for videos above)

# Unit 2: Addition and Subtraction with Decimals

## Big Idea 1: Read and Write Whole Numbers and Decimals, Lessons 1-3

Lesson 1. Decimals as Equal Divisions

Lesson 2. Thousands to Thousandths

Identify the value of a digit by looking at its place

Compare decimals using fractions

Write decimals in expanded notation

Write thousandths as decimal numbers

Name decimals through the thousandths place

Lesson 3. Equate and Compare Thousandths

Compare decimals using fractions

Compare decimals using a number line

Compare decimals using base ten blocks

Compare and order decimals to the thousandths place

## Big Idea 2: Addition and Subtraction, Lessons 4-7

Lesson 4. Adding and Subtracting Decimals

Subtract decimals using base-ten blocks

Add decimals using a number line

Subtract decimals using a number line

Estimate the addition and subtraction of decimals using smart rounding

Add decimals using base ten blocks

Lesson 5. Add Whole Numbers and Decimals (see links for videos above)

Lesson 6. Subtract Whole Numbers and Decimals (see links for videos above)

Lesson 7. Properties and Strategies (see links for videos above)

## Big Idea 3: Round and Estimate with Decimals, Lessons 8-9

Lesson 8. Round and Estimate with Decimals

Round decimals to the nearest whole number using a number line

Round decimals to the nearest hundredth using a number line

Lesson 9. Graph with Decimal Numbers

# Unit 3: Multiplication and Division with Fractions

## Big Idea 1: Multiplication with Fractions, Lessons 1-6

Lesson 1. Basic Multiplication Concepts

Lesson 2. Multiplication with Non-Unit Fractions

Multiply fractions by whole numbers: describing the problem

Multiply a whole number by a fraction using area models (2)

Find the product of a whole number and a fraction by using area models

Multiply by fractions: using repeated addition

Lesson 3. Multiplication with Fractional Solutions (see links for videos above)

Lesson 4. Multiply a Fraction by a Fraction

Multiply a fraction by a fraction using area models (1)

Multiply a fraction by a fraction using area models (2)

Multiply fractions by fractions: finding a part of a part

Multiply fractions by fractions: using a sequence of operations

Lesson 5. Multiplication Strategies

Lesson 6. Multiply Mixed Numbers

Find the product of a fraction and a mixed number by using area models

Multiply mixed numbers: using pictures

Find the product of a fraction and a mixed number by using area models

## Big Idea 2: Multiplication Links, Lessons 7-9

Lesson 7. Relate Fraction Operations

Lesson 8. Solve Real World Problems

Lesson 9. Make Generalizations

## Big Idea 3: Division with Fractions, Lessons 10-13

Lesson 10. When Dividing is also Multiplying

Divide whole numbers by unit fractions using the multiplicative inverse

Divide whole numbers by fractions: using inverse relations

Divide unit fractions by whole numbers by using the multiplicative inverse

Lesson 11. Solve Division Problems

Divide unit fractions: drawing pictures

Divide unit fractions by whole numbers by drawing a model

Divide unit fractions by whole numbers by drawing a number line

Solve word problems involving division of whole numbers by drawing a model

Solve word problems involving division of whole numbers by drawing a number line

Solve word problems involving division of fractions by whole numbers by drawing a number line

Lesson 12. Distinguish Multiplication from Division (see links for videos above)

Lesson 13. Review Operations with Fractions (see links for videos above)

# Unit 4: Multiplication with Whole Numbers and Decimals

## Big Idea 1: Multiplication with Whole Numbers, Lessons 1-5

Lesson 1. Shift Patterns in Multiplication

Multiply whole numbers by powers of ten

Use whole number exponents to denote powers of ten

Lesson 2. Patterns with Fives and Zeros

Lesson 3. Sharing Methods for Multiplication

Multiply multi-digit numbers using an area model

Multiply multi-digit numbers using partial products

Multiplying whole numbers and decimals using an area model

Lesson 4. Multiply Two-Digit Numbers (see videos above)

Lesson 5. Practice Multiplication (see videos above)

## Big Idea 2: Multiplication with Decimal Numbers, Lessons 6-11

Lesson 6.Multiply Decimals by Whole Numbers

Multiply decimals by whole numbers by using an area model

Multiply whole numbers and decimals by powers of ten

Lesson 7. Multiply by Decimals

Multiply decimal numbers by a power of ten

Multiply decimals to the hundredths by using fractions

Multiply decimals by decimals using an area model

Multiplying whole numbers and decimals using an area model

Lesson 8. Multiply with Decimals Greater Than 1 (see videos above)

Lesson 9. Compare Shift Patterns (see videos above)

Lesson 10. Estimate Products (see videos above)

Lesson 11. Multiplication Practice (see videos above)

# Unit 5: Division with Whole Numbers and Decimals

## Big Idea 1: Division with Whole Numbers, Lessons 1-5

Lesson 1. Divide Whole Numbers by One Digit

Lesson 2 Explore Dividing by Two-Digit Whole Numbers

Divide two-digit dividends using friendly multiples

Solve division problems: using picture model

Solve division problems: using array

Divide 4-digit dividends by 2-digit divisors by using expanded notation

Divide 4-digit dividends by 2- digit divisors by setting up an equation

Divide 4-digit dividends by 2- digit divisors by estimating and adjusting the quotient

Divide 4-digit dividends by 2-digit divisors by using an area model

Divide 4-digit dividends by 2-digit divisors by using a rectangular array

Lesson 3. Too Large, Too Small, or Just Right?

Lesson 4. Interpret Remainders

Interpret remainder of div problem(4.OA.3)

Report remainders as whole numbers by drawing pictures to round up or down

Report remainders as fractions

Lesson 5. Division Practice (see videos above)

## Big Idea 2: Division with Decimal Numbers, Lessons 6-10

Lesson 6. Divide Decimal Numbers by Whole Numbers

Divide decimals using knowledge of multiplication

Divide decimals by using a number line

Lesson 7. Divide Whole Numbers by Decimal Numbers (see videos above)

Lesson 8. Divide with Two Decimal Numbers (see videos above)

Lesson 9. Division Practice (see videos above)

Lesson 10. Distinguish Between Multiplication and Division

# Unit 6: Operations and Word Problems

## Big Idea 1: Equations and Problem Solving, Lessons 1-4

Lesson 1. Situation and Solution Equations for Addition and Subtraction

Solve subtraction word problems: using algebraic thinking

Solve addition word problems: using algebraic thinking

Solve word problems using fraction bars to add unlike fractions

Solve word problems using number lines to subtract unlike mixed number fractions

Use a number line to solve word problems involving addition of fractions with unlike denominators

Lesson 2. Situation and Solution Equations for Multiplication and Division

Solve multiplication word problems: using algebraic thinking

Solve division work problems using a variable

Solve division problems: using inverse operations

Lesson 3. Write Word Problems (See student textbook pages s4 – s9)

Lesson 4. Determine Reasonable Answers

Estimate the addition and subtraction of decimals using smart rounding (5.NBT.7)

Round decimals to the nearest whole number using a number line

Estimate the addition of fractions with unlike denominators using a benchmark fraction

Estimate the addition and subtraction of decimals using smart rounding

## Big Idea 2: Comparison Word Problems

Lesson 5. Language of Comparison Problems (See student textbook page s9)

Lesson 6. Multiplicative Comparison Problems (See student textbook page s9)

Lesson 7. Types of Comparison Problems (See student textbook page s9)

## Big Idea 3: Problems with More than One Step, Lessons 8-10

Lesson 8. Equations and Parentheses (See student textbook page s3)

Lesson 9. Multistep Word Problems

Solve multi-step problems: using multiple operations

Lesson 10. Practice Problem Solving

# Unit 7: Algebra, Patterns, and Coordinate Graphs

## Big Idea 1: Algebraic Reasoning and Expressions, Lessons 1-3

Lesson 1. Read and Write Expressions (See student textbook page s3)

Lesson 2. Simplify Expressions (See student textbook page s3)

Evaluate a numerical expression using Order of Operations (note that 5^{th} grade Order of Operations does not include exponents)

Lesson 3. Evaluate Expressions

Read and write an algebraic expression containing a variable

## Big Idea 2: Patterns and Graphs

Lesson 4. Patterns and Relationships

Lesson 5. The Coordinate Plane

Lesson 6. Graph Ordered Pairs

# Unit 8:Measurement and Geometry

## Big Idea 1: Measurements and Data, Lessons 1-7

Lesson 1. Convert Metric Units of Length

Lesson 2. Metric Units of Liquid Volume

Lesson 3. Metric Units of Mass

Lesson 4. Customary Units of Length

Lesson 5. Customary Measures of Liquid Volume

Lesson 6. Customary Units of Weight

Lesson 7. Read and Make Line Plots

## Big Idea 2: Area and Volume, Lessons 8-13

Lesson 8. Perimeter and Area of Rectangles

Lesson 9. Cubic Units and Volume

Lesson 10. Visualize Volume

Find volume by multiplying the base by the height

Find missing edge lengths on composite 3D prisms

Lesson 11. Introduce Volume Formulas

Lesson 12. Relate Length, Area, and Volume

Lesson 13. Volume of Composite Solid Figures

## Big Idea 3: Classify Geometric Figures

Lesson 14. Attributes of Quadrilaterals

Identify attributes of polygons

Classify and compare quadrilaterals

Lesson 15. Attributes of Triangles

Analyze and compare triangles by their sides

Lesson 16. Attributes of Two-Dimensional Shapes