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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:  Rates, Ratios, and Proportions

## Big Idea 1:  Multiplication and Rates, Lessons 1-5

Lesson 1.  Factor Puzzles and the Multiplication Table

Lesson 2.  Solving Factor Puzzles

Lesson 3.  Rate Situations and Rate Tables

Lesson 4.  Rate Situations and Unit Rate Language

Create unit rate using diagram (6.RP.2)

Lesson 5.  Unit Rates, Products, and Rate Tables  (See links above)

## Big Idea 2:  Special Rate Situations and Graphing, Lessons 6-7

Lesson 6.  Unit Pricing

Graphing rate problems using a table (6.RP.3b)

Lesson 7.  Constant Speed (See links above)

## Big Idea 3:  Solve Problems with Ratio and Proportion, Lessons 8-11

Lesson 8.  Ratio as Linked Rates

Lesson 9.  Finding Linked Values in Ratio Tables

Lesson 10. Seeing Proportions in Ratio Tables

Lesson 11. Identify and Solve Proportion Situations

Graph ratios using a table (6.RP.3a)

## Big Idea 4:  Identify, Solve, and Write Proportion Situations, Lessons 12-14

Lesson 12. Solve Numeric Proportion Problems

Lesson 13. Basic Ratio Solution Strategies

Lesson 14. Write and Solve Proportion Problems

# Unit 2:  Area of Polygons

## Big Idea 1:  Derive Area Formulas and Solve problems: Parallelograms and Triangles, Lessons 1-5

Lesson 1.  Units of Area

Lesson 2.  Area of Any Right Triangle

Lesson 3.  Area of Any Parallelogram

Lesson 4.  Area of Any Triangle

Lesson 5.  Select the Needed Measurements

## Big Idea 2:  Derive Area Formulas and Solve Problems: Trapezoids and Other Polygons, Lessons 6-9

Lesson 6.  Area of Any Trapezoid

Lesson 7.  Area of a Complex Figure

Find the area of polygons by decomposing into triangles, rectangles, parallelograms, and trapezoids (6.G.1)

Lesson 8.  Area of Any Regular Polygon

Lesson 9.  Graph Polygons in the Coordinate Plane

# Unit 3:  Operations with Whole Numbers, Fractions, and Decimals

## Big Idea 1:  Multiplication and Division of Whole Numbers and Decimals, Lessons 1-5

Lesson 1.  Place Value and Whole Numbers

Write thousandths as decimal numbers (5.NBT.3a)

Lesson 2.  Estimated Multipliers in Division

Lesson 3.  Multiplying by a Decimal

Lesson 4.  Decimal Divisors

Lesson 5.   Multiplication or Division

## Big Idea 2:  Relating, Composing, and Decomposing Decimals and Fractions, Lessons 6-9

Lesson 6.  Comparing Adding, and Subtracting with the Same Unit.

Compare decimals using fractions (5.NBT.3b)

Lesson 7.  Equivalent Fractions or Decimals (See videos from lesson 6)

Lesson 8.  Finding a Common Unit Fraction (See videos from lesson 6)

Lesson 9.  Mixed Problem Solving (See videos from lesson 6)

## Big Idea 3:  Multiplying Fractions and Dividing with Fraction and Whole Numbers, Lessons 10-12

Lesson 10. Multiplying with Fractions

Lesson 11. Dividing with Fractions and Whole Numbers (See videos from lesson 10)

Lesson 12. Is It Multiplying or Dividing?

## Big Idea 4:  Dividing a Fraction by a Fraction, Lessons 13-17

Lesson 13. Dividing Numerators and Denominators

Lesson 14. Dividing by Unsimplifying

Lesson 15. Dividing by Multiplying by the Reciprocal

Divide a fraction by a fraction (6.NS.1)

Understand why dividing by a number gives the same result as multiplying by its reciprocal (6.NS.1)

Lesson 16. Is It Multiplying or Dividing? (See videos from lesson 15)

Lesson 17. Mixed Practice with Decimals and Fractions (See videos from lesson 15)

# Unit 4:  Surface Area of Prisms and Pyramids

## Big Idea 1:  Nets and Surface Area of Prisms, Lessons 1-3

Lesson 1.  Nets and Surface Area for Rectangular Prisms

Lesson 2.  Nets and Surface Area for Nonrectangular Prisms

Lesson 3.  Surface Area for Prisms (See videos from lesson 1 & 2)

## Big Idea 2:  Nets and Surface Area of Pyramids

Lesson 4.  Nets for Pyramids

Lesson 5.  Surface Area of Pyramids

# Unit 5:  Expressions and Equations

## Big Idea 1:  Writing, Interpreting, and Analyzing Expressions, Lessons 1-5

Lesson 1.  Expressions and Order of Operations

Lesson 2.  Expressions with Exponents

Lesson 3.  Interpreting and Analyzing Expressions

Lesson 4.  Modeling and Simplifying Expressions

Lesson 5.  Expressions for Area and Surface Area

Find the volume of a cube (6.EE.2c)

## Big Idea 2:  Equivalent Expressions, Lessons 6-9

Lesson 6.  Equivalent Expressions

Lesson 7.  The Commutative and Associative Properties

Lesson 8.  The Distributive Property

Lesson 9.  Practice with Expressions (See videos for lessons above)

## Big Idea 3:  Representing and Describing Quantitative Relationships, Lessons 10-13

Lesson 10. Relating Two Quantities

Lesson 11. Motion at a Constant Speed

Lesson 12. Relating Equations, Tables, and Graphs

Lesson 13. Writing Equations (See videos for lessons above)

## Big Idea 4:  Solving Equations and Inequalities, Lessons 14-17

Lesson 14. Inequalities

Lesson 15. Solutions of Equations and Inequalities

Lesson 16. Addition and Subtraction Equations

Lesson 17. Multiplication and Division Equations

# Unit 6:  Volume of a Rectangular Prism

## Big Idea 1:  Volume Formulas for Rectangular Prisms, Lessons 1-6

Lesson 1.  What Is Volume

Find the volume of a cube (6.EE.2c)

Lesson 2.  Fractional Unit Cubes

Lesson 3.  Compose Rectangular Prisms with Fractional Edge Lengths (See above)

Lesson 4.  Volume of Prisms with Fractional Edge Lengths (See above)

Lesson 5.  Write and Solve Equations about Volume

# Unit 7:  Ratios and Rates with Fractions, Decimals, and Percents

## Big Idea 1:  Ratios, Fractions, Unit Rates, and Cross-Multiplying, Lessons 1-4

Lesson 1.  Comparing Ratios

Lesson 2.  Unit Rates

Create unit rate using diagram (6.RP.2)

Lesson 3.  Ratios, Fractions, and Fraction Notation

Lesson 4.  Understanding Cross-Multiplication

## Big Idea 2:  Ratios with Tape Diagrams and Equations, Lessons 5-7

Lesson 5.  Describing Ratios with Tape Diagrams

Lesson 6.  Ratios and Multiplicative Comparisons

Lesson 7.  Solve Ratio and Rate Problems

## Big Idea 3:  Percent, Lessons 8-11

Lesson 8.  The Meaning of Percent

Define percents as ratios (6.RP.3c)

Visualize percents using 10×10 grids (6.RP.3c)

Lesson 9.  Percent of a Number (See videos above in lesson 8)

Lesson 10. Percent Calculations (See videos above in lesson 8)

Lesson 11. Solve Percent Problems (See videos above in lesson 8)

## Big Idea 4:  Relate Different Measurement Units, Lessons 12-13

Lesson 12. Convert Units of Length

Lesson 13. Convert Units of Liquid Volume, Mass, and Weight

# Unit 8: Analyzing Statistics

## Big Idea 1:  Displaying Data, Lessons 1-2

Lesson 1.  Making Sense of Data

Lesson 2.  Dot Plots and Histograms

## Big Idea 2:  Summarizing Data: The Mean, the Median, Lessons 3-6

Lesson 3.  Making Data Groups Equal

Find the Mean of a Data Set (6.SP.2)

Lesson 4.  Use the Mean (See Videos in Lesson 3 above)

Lesson 5.  The Mean as a Balance Point (See Videos in Lesson 3 above)

Lesson 6.  Find and Use the Median (See Videos in Lesson 3 above)

Lesson 7.  Find and Use the Median (See Videos in Lesson 3 above)

## Big Idea 3:  Describing Variability in Data, Lessons 7-11

Lesson 8.  Variability in Data

Lesson 9.  Box Plots (See Videos in Lesson 8 above)

Lesson 10. Mean Absolute Deviation (See Videos in Lesson 8 above)

Lesson 11. Cluster, Peaks, Gaps, and Outliers (See Videos in Lesson 8 above)

Lesson 12. Collect, Display, and Interpret Data (See Videos in Lesson 8 above)

# Unit 9: Rational Numbers and the Coordinate Plane

## Big Idea 1:  Discuss, Compare, and Graph Integers, Lessons 1-4

Lesson 1.  Negative Numbers in the Real World

Lesson 2.  Integers on a Number Line

Lesson 3.  Compare and Order Integers

Lesson 4.  Integers and the Coordinate Plane

Graph points on a coordinate plane (6.NS.6b)

Graph points in any quadrant (6.NS.8)

Reflect points over the x and y axes (6.NS.6b)

## Big Idea 2:  Discuss, Compare, and Graph Rational Numbers, Lessons 5-7

Lesson 5.  Rational Numbers on a Number Line

Lesson 6.  Compare and Order Rational Numbers

Lesson 7.  Rational Numbers and Coordinate Plane