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Illustrative Math-Media4Math Alignment

 

 

Illustrative Math Alignment: Grade 6 Unit 9

Putting it All Together

Lesson 4: How Do We Choose?

Use the following Media4Math resources with this Illustrative Math lesson.

Thumbnail Image Title Body Curriculum Topics
Closed Captioned Video: Rational Numbers: What Are Rational Numbers? Closed Captioned Video: Rational Numbers: What Are Rational Numbers? Closed Captioned Video: Rational Numbers: What Are Rational Numbers?

This is part of a collection of video tutorials on the topic of Rational Numbers. This includes defining rational numbers, rational number operations, comparing and ordering rational numbers, and applications of rational numbers.

—PRESS PREVIEW TO SEE THE VIDEO TUTORIAL— To see the complete collection of these videos on fractions, click on this link.

The following section includes background information on rational numbers. Refer to this section as you view the videos, or as review material afterward.

Rational Expressions
Closed Captioned Video: Ratios: Application of Ratios: Roofs and Ramps Closed Captioned Video: Ratios: Application of Ratios: Roofs and Ramps Closed Captioned Video: Ratios: Application of Ratios: Roofs and Ramps

What Are Ratios?

A ratio is the relationship between two or more quantities among a group of items. Let's look at an example.

Ratios and Rates and Applications of Ratios, Proportions, and Percents
Closed Captioned Video: Ratios and Rates: Ratios as Decimals Closed Captioned Video: Ratios and Rates: Ratios as Decimals Closed Captioned Video: Ratios and Rates: Ratios as Decimals

Video Tutorial: Ratios and Rates: Ratios as Decimals. In this video, students explore ratios whose terms are decimals. Students are shown techniques for simplifying these types of ratios in ;the context of solving real-world ratio problems.

Ratios and Rates
Closed Captioned Video: Ratios: Visual Models for Ratios and Percents Closed Captioned Video: Ratios: Visual Models for Ratios and Percents Closed Captioned Video: Ratios: Visual Models for Ratios and Percents

What Are Ratios?

A ratio is the relationship between two or more quantities among a group of items.

Ratios and Rates
Closed Captioned Video: Ratios, Proportions, and Percents: Calculating Percents Closed Captioned Video: Ratios, Proportions, and Percents: Calculating Percents Closed Captioned Video: Ratios, Proportions, and Percents: Calculating Percents

Video Tutorial: Ratios and Percents: Calculating Percents. In this video, students will see the relationship between ratios, proportions, and percents. A percent formula is derived and used to solve several real-world percent problems.

Ratios and Rates
Closed Captioned Video: Ratios and Rates: Converting Measurement Units Closed Captioned Video: Ratios and Rates: Converting Measurement Units Closed Captioned Video: Ratios and Rates: Converting Measurement Units

Video Tutorial: Ratios and Rates: Converting Measurement Units. In this video, we show how to use conversion rates to convert from one unit of measurement to another. Students are shown how to create a conversion rate.

Ratios and Rates
Closed Captioned Video: Ratios and Rates: Rates and Slopes of Lines Closed Captioned Video: Ratios and Rates: Rates and Slopes of Lines Closed Captioned Video: Ratios and Rates: Rates and Slopes of Lines

Video Tutorial: Ratios and Rates: Rates and Slopes of Lines. In this video we connect the concept of rate of change for a set of linear data to the concept of slope. We use the slope formula to find the rate of change.

Ratios and Rates
Closed Captioned Video: Ratios and Rates: Rates from Data Closed Captioned Video: Ratios and Rates: Rates from Data Closed Captioned Video: Ratios and Rates: Rates from Data

Video Tutorial: Ratios and Rates: Rates from Data. In this video, we look at linear data sets that can be used to find the rate of change.

Ratios and Rates
Closed Captioned Video: Ratios and Proportions: Scale Drawings Closed Captioned Video: Ratios and Proportions: Scale Drawings Closed Captioned Video: Ratios and Proportions: Scale Drawings

Video Tutorial: Ratios and Proportions: Scale Drawings. In this video, we look at the properties of similar figures and use proportions to find lengths of corresponding sides.

Ratios and Rates
Closed Captioned Video: Ratios and Proportions: Solving Proportions Closed Captioned Video: Ratios and Proportions: Solving Proportions Closed Captioned Video: Ratios and Proportions: Solving Proportions

Video Tutorial: Ratios and Proportions: Solving Proportions. In this video, we solve proportion problems algebraically.

Ratios and Rates
Closed Captioned Video: Ratios and Proportions: What Are Proportions? Closed Captioned Video: Ratios and Proportions: What Are Proportions? Closed Captioned Video: Ratios and Proportions: What Are Proportions?

Video Tutorial: Ratios and Proportions: What are Proportions?. In this video, we solve proportion problems using equivalent ratios.

Ratios and Rates
Closed Captioned Video: Ratios: Unit Rates Closed Captioned Video: Ratios: Unit Rates Closed Captioned Video: Ratios: Unit Rates

What Are Ratios?

A ratio is the relationship between two or more quantities among a group of items.

Ratios and Rates
Closed Captioned Video: Ratios: Rates Closed Captioned Video: Ratios: Rates Closed Captioned Video: Ratios: Rates

What Are Ratios?

A ratio is the relationship between two or more quantities among a group of items.

Ratios and Rates
Closed Captioned Video: Ratios: Equivalent Ratios Closed Captioned Video: Ratios: Equivalent Ratios Closed Captioned Video: Ratios: Equivalent Ratios

What Are Ratios?

A ratio is the relationship between two or more quantities among a group of items.

Ratios and Rates
Closed Captioned Video: Ratios: Numerical Models for Ratios Closed Captioned Video: Ratios: Numerical Models for Ratios Closed Captioned Video: Ratios: Numerical Models for Ratios

What Are Ratios?

A ratio is the relationship between two or more quantities among a group of items.

Ratios and Rates
Closed Captioned Video: Ratios: Visual Models for Ratios Closed Captioned Video: Ratios: Visual Models for Ratios Closed Captioned Video: Ratios: Visual Models for Ratios

What Are Ratios?

A ratio is the relationship between two or more quantities among a group of items. Let's look at an example.

Ratios and Rates
Closed Captioned Video: Ratios: Ratios and Fractions Closed Captioned Video: Ratios: Ratios and Fractions Closed Captioned Video: Ratios: Ratios and Fractions

What Are Ratios?

A ratio is the relationship between two or more quantities among a group of items.

Ratios and Rates
Closed Captioned Video: Ratios: Fractional Ratios Closed Captioned Video: Ratios: Fractional Ratios Closed Captioned Video: Ratios: Fractional Ratios

What Are Ratios?

A ratio is the relationship between two or more quantities among a group of items.

Ratios and Rates
Closed Captioned Video: Ratios: Ratios with Three Items Closed Captioned Video: Ratios: Ratios with Three Items Closed Captioned Video: Ratios: Ratios with Three Items

What Are Ratios?

A ratio is the relationship between two or more quantities among a group of items.

Ratios and Rates
Closed Captioned Video: Ratios: What Are Ratios? Closed Captioned Video: Ratios: What Are Ratios? Closed Captioned Video: Ratios: What Are Ratios?

What Are Ratios?

A ratio is the relationship between two or more quantities among a group of items.

Ratios and Rates
Math Example--Rational Concepts--Rational Approximations of Irrational Numbers--Example 1 Math Example--Rational Concepts--Rational Approximations of Irrational Numbers--Example 1 Math Example--Rational Concepts--Rational Approximations of Irrational Numbers--Example 1

This is part of a collection of math examples that focus on rational number concepts. This includes rational numbers, expressions, and functions.

Rational Expressions
Math Example--Rational Concepts--Rational Approximations of Irrational Numbers--Example 2 Math Example--Rational Concepts--Rational Approximations of Irrational Numbers--Example 2 Math Example--Rational Concepts--Rational Approximations of Irrational Numbers--Example 2

This is part of a collection of math examples that focus on rational number concepts. This includes rational numbers, expressions, and functions.

Rational Expressions
Math Example--Rational Concepts--Rational Approximations of Irrational Numbers--Example 3 Math Example--Rational Concepts--Rational Approximations of Irrational Numbers--Example 3 Math Example--Rational Concepts--Rational Approximations of Irrational Numbers--Example 3

This is part of a collection of math examples that focus on rational number concepts. This includes rational numbers, expressions, and functions.

Rational Expressions
Math Example--Rational Concepts--Rational Approximations of Irrational Numbers--Example 4 Math Example--Rational Concepts--Rational Approximations of Irrational Numbers--Example 4 Math Example--Rational Concepts--Rational Approximations of Irrational Numbers--Example 4

This is part of a collection of math examples that focus on rational number concepts. This includes rational numbers, expressions, and functions.

Rational Expressions
Math Example--Rational Concepts--Rational Approximations of Irrational Numbers--Example 5 Math Example--Rational Concepts--Rational Approximations of Irrational Numbers--Example 5 Math Example--Rational Concepts--Rational Approximations of Irrational Numbers--Example 5

This is part of a collection of math examples that focus on rational number concepts. This includes rational numbers, expressions, and functions.

Rational Expressions
Math Example--Rational Concepts--Rational Approximations of Irrational Numbers--Example 6 Math Example--Rational Concepts--Rational Approximations of Irrational Numbers--Example 6 Math Example--Rational Concepts--Rational Approximations of Irrational Numbers--Example 6

This is part of a collection of math examples that focus on rational number concepts. This includes rational numbers, expressions, and functions.

Rational Expressions
Math Example--Rational Concepts--Rational Approximations of Irrational Numbers--Example 7 Math Example--Rational Concepts--Rational Approximations of Irrational Numbers--Example 7 Math Example--Rational Concepts--Rational Approximations of Irrational Numbers--Example 7

This is part of a collection of math examples that focus on rational number concepts. This includes rational numbers, expressions, and functions.

Rational Expressions
Math Example--Rational Concepts--Rational Approximations of Irrational Numbers--Example 8 Math Example--Rational Concepts--Rational Approximations of Irrational Numbers--Example 8 Math Example--Rational Concepts--Rational Approximations of Irrational Numbers--Example 8

This is part of a collection of math examples that focus on rational number concepts. This includes rational numbers, expressions, and functions.

Rational Expressions
Math Example--Rational Concepts--Rational Approximations of Irrational Numbers--Example 9 Math Example--Rational Concepts--Rational Approximations of Irrational Numbers--Example 9 Math Example--Rational Concepts--Rational Approximations of Irrational Numbers--Example 9

This is part of a collection of math examples that focus on rational number concepts. This includes rational numbers, expressions, and functions.

Rational Expressions
Math Example--Rational Concepts--Rational Approximations of Irrational Numbers--Example 10 Math Example--Rational Concepts--Rational Approximations of Irrational Numbers--Example 10 Math Example--Rational Concepts--Rational Approximations of Irrational Numbers--Example 10

This is part of a collection of math examples that focus on rational number concepts. This includes rational numbers, expressions, and functions.

Rational Expressions
Math Example--Area and Perimeter--Triangular Area Using Trig Ratios: Example 1 Math Example--Area and Perimeter--Triangular Area Using Trig Ratios: Example 1 Math Example--Area and Perimeter--Triangular Area Using Trig Ratios: Example 1

This is part of a collection of math examples that show how to area and perimeter for different geometric shapes.

Trig Expressions and Identities
Math Example--Area and Perimeter--Triangular Area Using Trig Ratios: Example 2 Math Example--Area and Perimeter--Triangular Area Using Trig Ratios: Example 2 Math Example--Area and Perimeter--Triangular Area Using Trig Ratios: Example 2

This is part of a collection of math examples that show how to area and perimeter for different geometric shapes.

Trig Expressions and Identities
Math Example--Area and Perimeter--Triangular Area Using Trig Ratios: Example 3 Math Example--Area and Perimeter--Triangular Area Using Trig Ratios: Example 3 Math Example--Area and Perimeter--Triangular Area Using Trig Ratios: Example 3

This is part of a collection of math examples that show how to area and perimeter for different geometric shapes.

Trig Expressions and Identities
Math Example--Area and Perimeter--Triangular Area Using Trig Ratios: Example 4 Math Example--Area and Perimeter--Triangular Area Using Trig Ratios: Example 4 Math Example--Area and Perimeter--Triangular Area Using Trig Ratios: Example 4

This is part of a collection of math examples that show how to area and perimeter for different geometric shapes.

Trig Expressions and Identities
Math Example--Area and Perimeter--Triangular Area Using Trig Ratios: Example 5 Math Example--Area and Perimeter--Triangular Area Using Trig Ratios: Example 5 Math Example--Area and Perimeter--Triangular Area Using Trig Ratios: Example 5

This is part of a collection of math examples that show how to area and perimeter for different geometric shapes.

Trig Expressions and Identities
Math Example--Area and Perimeter--Triangular Area Using Trig Ratios: Example 6 Math Example--Area and Perimeter--Triangular Area Using Trig Ratios: Example 6 Math Example--Area and Perimeter--Triangular Area Using Trig Ratios: Example 6

This is part of a collection of math examples that show how to area and perimeter for different geometric shapes.

Trig Expressions and Identities
Math Example--Area and Perimeter--Triangular Area Using Trig Ratios: Example 7 Math Example--Area and Perimeter--Triangular Area Using Trig Ratios: Example 7 Math Example--Area and Perimeter--Triangular Area Using Trig Ratios: Example 7

This is part of a collection of math examples that show how to area and perimeter for different geometric shapes.

Trig Expressions and Identities
Math Example--Area and Perimeter--Triangular Area Using Trig Ratios: Example 8 Math Example--Area and Perimeter--Triangular Area Using Trig Ratios: Example 8 Math Example--Area and Perimeter--Triangular Area Using Trig Ratios: Example 8

This is part of a collection of math examples that show how to area and perimeter for different geometric shapes.

Trig Expressions and Identities
Math Example--Area and Perimeter--Triangular Area Using Trig Ratios: Example 9 Math Example--Area and Perimeter--Triangular Area Using Trig Ratios: Example 9 Math Example--Area and Perimeter--Triangular Area Using Trig Ratios: Example 9

This is part of a collection of math examples that show how to area and perimeter for different geometric shapes.

Trig Expressions and Identities
Math Example--Area and Perimeter--Triangular Area Using Trig Ratios: Example 10 Math Example--Area and Perimeter--Triangular Area Using Trig Ratios: Example 10 Math Example--Area and Perimeter--Triangular Area Using Trig Ratios: Example 10

This is part of a collection of math examples that show how to area and perimeter for different geometric shapes.

Trig Expressions and Identities
Math Example--Area and Perimeter--Triangular Area Using Trig Ratios: Example 11 Math Example--Area and Perimeter--Triangular Area Using Trig Ratios: Example 11 Math Example--Area and Perimeter--Triangular Area Using Trig Ratios: Example 11

This is part of a collection of math examples that show how to area and perimeter for different geometric shapes.

Trig Expressions and Identities
Math Example: Fraction Operations--Multiplying Fractions and Whole Numbers Using Models: Example 1 Math Example: Fraction Operations--Multiplying Fractions and Whole Numbers Using Models: Example 1 Multiplying Fractions and Whole Numbers Using Models: Example 1

Topic

Fraction Operations

Fractions and Mixed Numbers
Math Example: Fraction Operations--Multiplying Fractions and Whole Numbers Using Models: Example 2 Math Example: Fraction Operations--Multiplying Fractions and Whole Numbers Using Models: Example 2 Multiplying Fractions and Whole Numbers Using Models: Example 2

Topic

Fraction Operations

Fractions and Mixed Numbers
Math Example: Fraction Operations--Multiplying Fractions and Whole Numbers Using Models: Example 3 Math Example: Fraction Operations--Multiplying Fractions and Whole Numbers Using Models: Example 3 Multiplying Fractions and Whole Numbers Using Models: Example 3

Topic

Fraction Operations

Fractions and Mixed Numbers
Math Example: Fraction Operations--Multiplying Fractions and Whole Numbers Using Models: Example 4 Math Example: Fraction Operations--Multiplying Fractions and Whole Numbers Using Models: Example 4 Multiplying Fractions and Whole Numbers Using Models: Example 4

Topic

Fraction Operations

Fractions and Mixed Numbers
Math Example: Fraction Operations--Multiplying Fractions and Whole Numbers Using Models: Example 5 Math Example: Fraction Operations--Multiplying Fractions and Whole Numbers Using Models: Example 5 Math Example: Fraction Operations--Multiplying Fractions and Whole Numbers Using Models: Example 5

Topic

Fraction Operations

Fractions and Mixed Numbers
Math Example--Rational Concepts--Rational vs Irrational--Example 5 Math Example--Rational Concepts--Rational vs Irrational--Example 5 Math Example--Rational Concepts--Rational vs Irrational--Example 5

This is part of a collection of math examples that focus on rational number concepts. This includes rational numbers, expressions, and functions.

Rational Expressions
Math Example--Rational Concepts--Rational vs Irrational--Example 6 Math Example--Rational Concepts--Rational vs Irrational--Example 6 Math Example--Rational Concepts--Rational vs Irrational--Example 6

This is part of a collection of math examples that focus on rational number concepts. This includes rational numbers, expressions, and functions.

Rational Expressions
Math Example--Rational Concepts--Rational vs Irrational--Example 7 Math Example--Rational Concepts--Rational vs Irrational--Example 7 Math Example--Rational Concepts--Rational vs Irrational--Example 7

This is part of a collection of math examples that focus on rational number concepts. This includes rational numbers, expressions, and functions.

Rational Expressions
Math Example--Rational Concepts--Rational vs Irrational--Example 8 Math Example--Rational Concepts--Rational vs Irrational--Example 8 Math Example--Rational Concepts--Rational vs Irrational--Example 8

This is part of a collection of math examples that focus on rational number concepts. This includes rational numbers, expressions, and functions.

Rational Expressions