Illustrative Math-Media4Math Alignment

 

 

Illustrative Math Alignment: Grade 8 Unit 3

Linear Equations and Linear Systems

Lesson 14: Solving More Systems

Use the following Media4Math resources with this Illustrative Math lesson.

Thumbnail Image Title Body Curriculum Topic
Math Example: Algebra Tiles: Example 36 Math Example: Algebra Tiles: Example 36 Math Example: Algebra Tiles: Example 36

Topic

Numerical and Algebraic Expressions

Description

This example demonstrates solving the equation x - 2 = -2 using algebra tiles. The image shows a step-by-step solution, including modeling the variable, adding zero pairs, modeling the equation, and solving it. This visual representation helps students understand equations where the solution is zero.

 Algebra Tiles--Expressions and Equations
Math Example: Algebra Tiles: Example 37 Math Example: Algebra Tiles: Example 37 Math Example: Algebra Tiles: Example 37

Topic

Numerical and Algebraic Expressions

Description

This example illustrates solving the equation x - (-2) = 4 using algebra tiles. The image shows a step-by-step solution, including modeling the variable, adding zero pairs, modeling the equation, and solving it. This visual representation helps students understand equations involving subtraction of negative numbers.

 Algebra Tiles--Expressions and Equations
Math Example: Algebra Tiles: Example 38 Math Example: Algebra Tiles: Example 38 Math Example: Algebra Tiles: Example 38

Topic

Numerical and Algebraic Expressions

Description

This example demonstrates solving the equation x - (-4) = 2 with algebra tiles. The image shows the process of modeling the variable, adding zero pairs, modeling the equation, and solving it. This visual representation helps students understand equations involving subtraction of negative numbers and their solutions.

 Algebra Tiles--Expressions and Equations
Math Example: Algebra Tiles: Example 39 Math Example: Algebra Tiles: Example 39 Math Example: Algebra Tiles: Example 39

Topic

Numerical and Algebraic Expressions

Description

This example illustrates solving the equation x - (-3) = 3 using algebra tiles. The image shows the steps of modeling the variable, adding zero pairs, modeling the equation, and solving it. This visual representation helps students understand equations involving subtraction of negative numbers and their solutions.

 Algebra Tiles--Expressions and Equations
Math Example: Algebra Tiles: Example 4 Math Example: Algebra Tiles: Example 4 Math Example: Algebra Tiles: Example 4

Topic

Numerical and Algebraic Expressions

Description

This example illustrates the addition of 7 and -7 using algebra tiles. It shows 7 yellow tiles representing positive integers and 7 red tiles representing negative integers. When combined, these tiles form zero pairs, resulting in a sum of zero. This demonstrates that 7 + (-7) = 0, visually representing the concept of additive inverses.

 Algebra Tiles--Expressions and Equations
Math Example: Algebra Tiles: Example 5 Math Example: Algebra Tiles: Example 5 Math Example: Algebra Tiles: Example 5

Topic

Numerical and Algebraic Expressions

Description

This example demonstrates the addition of two negative numbers, -6 and -8, using algebra tiles. The image shows 6 red tiles representing -6 and 8 red tiles representing -8. When combined, these tiles result in a total of 14 red tiles, illustrating that -6 + (-8) = -14.

 Algebra Tiles--Expressions and Equations
Math Example: Algebra Tiles: Example 6 Math Example: Algebra Tiles: Example 6 Math Example: Algebra Tiles: Example 6

Topic

Numerical and Algebraic Expressions

Description

This example illustrates the subtraction of 5 from 14 using algebra tiles. The image shows 14 yellow tiles representing the initial value, and then 5 tiles are removed, leaving 9 yellow tiles. This visually demonstrates that 14 - 5 = 9.

 Algebra Tiles--Expressions and Equations
Math Example: Algebra Tiles: Example 7 Math Example: Algebra Tiles: Example 7 Math Example: Algebra Tiles: Example 7

Topic

Numerical and Algebraic Expressions

Description

This example demonstrates the subtraction of 10 from 8 using algebra tiles. The image shows 8 yellow tiles representing the initial value, and two red tiles next to them. To subtract 10, zero pairs are added as necessary, resulting in a final answer of -2, represented by two red tiles.

 Algebra Tiles--Expressions and Equations
Math Example: Algebra Tiles: Example 8 Math Example: Algebra Tiles: Example 8 Math Example: Algebra Tiles: Example 8

Topic

Numerical and Algebraic Expressions

Description

This example demonstrates the subtraction of 16 from itself using algebra tiles. The image shows 16 yellow tiles arranged in two rows of eight. Below this, the same 16 tiles are shown with a subtraction sign, illustrating the process of removing all tiles to reach zero.

 Algebra Tiles--Expressions and Equations
Math Example: Algebra Tiles: Example 9 Math Example: Algebra Tiles: Example 9 Math Example: Algebra Tiles: Example 9

Topic

Numerical and Algebraic Expressions

Description

This example illustrates the subtraction of a negative number, specifically 8 - (-3), using algebra tiles. The image shows 8 yellow tiles representing the positive 8, and three red tiles are added to represent the subtraction of -3. This visual representation demonstrates that subtracting a negative number is equivalent to adding its positive counterpart, resulting in a total of 11 yellow tiles.

 Algebra Tiles--Expressions and Equations
Math Example: Solving One-Step Equations Using the Properties of Equality--Example 1 Math Example: Solving One-Step Equations Using the Properties of Equality--Example 1 Math Example: Solving One-Step Equations Using the Properties of Equality--Example 1

This is part of a collection of math examples that show how to solve one-step equations that include addition, subtraction, multiplication, or division.

 Solving One-Step Equations
Math Example: Solving One-Step Equations Using the Properties of Equality--Example 10 Math Example: Solving One-Step Equations Using the Properties of Equality--Example 10 Math Example: Solving One-Step Equations Using the Properties of Equality--Example 10

This is part of a collection of math examples that show how to solve one-step equations that include addition, subtraction, multiplication, or division.

 Solving One-Step Equations
Math Example: Solving One-Step Equations Using the Properties of Equality--Example 11 Math Example: Solving One-Step Equations Using the Properties of Equality--Example 11 Math Example: Solving One-Step Equations Using the Properties of Equality--Example 11

This is part of a collection of math examples that show how to solve one-step equations that include addition, subtraction, multiplication, or division.

 Solving One-Step Equations
Math Example: Solving One-Step Equations Using the Properties of Equality--Example 12 Math Example: Solving One-Step Equations Using the Properties of Equality--Example 12 Math Example: Solving One-Step Equations Using the Properties of Equality--Example 12

This is part of a collection of math examples that show how to solve one-step equations that include addition, subtraction, multiplication, or division.

 Solving One-Step Equations
Math Example: Solving One-Step Equations Using the Properties of Equality--Example 2 Math Example: Solving One-Step Equations Using the Properties of Equality--Example 2 Math Example: Solving One-Step Equations Using the Properties of Equality--Example 2

This is part of a collection of math examples that show how to solve one-step equations that include addition, subtraction, multiplication, or division.

 Solving One-Step Equations
Math Example: Solving One-Step Equations Using the Properties of Equality--Example 3 Math Example: Solving One-Step Equations Using the Properties of Equality--Example 3 Math Example: Solving One-Step Equations Using the Properties of Equality--Example 3

This is part of a collection of math examples that show how to solve one-step equations that include addition, subtraction, multiplication, or division.

 Solving One-Step Equations
Math Example: Solving One-Step Equations Using the Properties of Equality--Example 4 Math Example: Solving One-Step Equations Using the Properties of Equality--Example 4 Math Example: Solving One-Step Equations Using the Properties of Equality--Example 4

This is part of a collection of math examples that show how to solve one-step equations that include addition, subtraction, multiplication, or division.

 Solving One-Step Equations
Math Example: Solving One-Step Equations Using the Properties of Equality--Example 5 Math Example: Solving One-Step Equations Using the Properties of Equality--Example 5 Math Example: Solving One-Step Equations Using the Properties of Equality--Example 5

This is part of a collection of math examples that show how to solve one-step equations that include addition, subtraction, multiplication, or division.

 Solving One-Step Equations
Math Example: Solving One-Step Equations Using the Properties of Equality--Example 6 Math Example: Solving One-Step Equations Using the Properties of Equality--Example 6 Math Example: Solving One-Step Equations Using the Properties of Equality--Example 6

This is part of a collection of math examples that show how to solve one-step equations that include addition, subtraction, multiplication, or division.

 Solving One-Step Equations
Math Example: Solving One-Step Equations Using the Properties of Equality--Example 7 Math Example: Solving One-Step Equations Using the Properties of Equality--Example 7 Math Example: Solving One-Step Equations Using the Properties of Equality--Example 7

This is part of a collection of math examples that show how to solve one-step equations that include addition, subtraction, multiplication, or division.

 Solving One-Step Equations
Math Example: Solving One-Step Equations Using the Properties of Equality--Example 8 Math Example: Solving One-Step Equations Using the Properties of Equality--Example 8 Math Example: Solving One-Step Equations Using the Properties of Equality--Example 8

This is part of a collection of math examples that show how to solve one-step equations that include addition, subtraction, multiplication, or division.

 Solving One-Step Equations
Math Example: Solving One-Step Equations Using the Properties of Equality--Example 9 Math Example: Solving One-Step Equations Using the Properties of Equality--Example 9 Math Example: Solving One-Step Equations Using the Properties of Equality--Example 9

This is part of a collection of math examples that show how to solve one-step equations that include addition, subtraction, multiplication, or division.

 Solving One-Step Equations
Math Example: Solving Two-Step Equations Using the Properties of Equality--Example 1 Math Example: Solving Two-Step Equations Using the Properties of Equality--Example 1 Math Example: Solving Two-Step Equations Using the Properties of Equality--Example 1

This is part of a collection of math examples that show how to solve two-step equations that involve combinations of addition, subtraction, multiplication, and division.

 Solving Two-Step Equations
Math Example: Solving Two-Step Equations Using the Properties of Equality--Example 2 Math Example: Solving Two-Step Equations Using the Properties of Equality--Example 2 Math Example: Solving Two-Step Equations Using the Properties of Equality--Example 2

This is part of a collection of math examples that show how to solve two-step equations that involve combinations of addition, subtraction, multiplication, and division.

 Solving Two-Step Equations
Math Example: Solving Two-Step Equations Using the Properties of Equality--Example 3 Math Example: Solving Two-Step Equations Using the Properties of Equality--Example 3 Math Example: Solving Two-Step Equations Using the Properties of Equality--Example 3

This is part of a collection of math examples that show how to solve two-step equations that involve combinations of addition, subtraction, multiplication, and division.

 Solving Two-Step Equations
Math Example: Solving Two-Step Equations Using the Properties of Equality--Example 4 Math Example: Solving Two-Step Equations Using the Properties of Equality--Example 4 Math Example: Solving Two-Step Equations Using the Properties of Equality--Example 4

This is part of a collection of math examples that show how to solve two-step equations that involve combinations of addition, subtraction, multiplication, and division.

 Solving Two-Step Equations
Math Example: Solving Two-Step Equations Using the Properties of Equality--Example 5 Math Example: Solving Two-Step Equations Using the Properties of Equality--Example 5 Math Example: Solving Two-Step Equations Using the Properties of Equality--Example 5

This is part of a collection of math examples that show how to solve two-step equations that involve combinations of addition, subtraction, multiplication, and division.

 Solving Two-Step Equations
Math Example: Solving Two-Step Equations Using the Properties of Equality--Example 6 Math Example: Solving Two-Step Equations Using the Properties of Equality--Example 6 Math Example: Solving Two-Step Equations Using the Properties of Equality--Example 6

This is part of a collection of math examples that show how to solve two-step equations that involve combinations of addition, subtraction, multiplication, and division.

 Solving Two-Step Equations
Math Example: Solving Two-Step Equations Using the Properties of Equality--Example 7 Math Example: Solving Two-Step Equations Using the Properties of Equality--Example 7 Math Example: Solving Two-Step Equations Using the Properties of Equality--Example 7

This is part of a collection of math examples that show how to solve two-step equations that involve combinations of addition, subtraction, multiplication, and division.

 Solving Two-Step Equations
Math Example: Solving Two-Step Equations Using the Properties of Equality--Example 8 Math Example: Solving Two-Step Equations Using the Properties of Equality--Example 8 Math Example: Solving Two-Step Equations Using the Properties of Equality--Example 8

This is part of a collection of math examples that show how to solve two-step equations that involve combinations of addition, subtraction, multiplication, and division.

 Solving Two-Step Equations
Math Example: Testing Solutions to One-Step Equations--Example 1 Math Example: Testing Solutions to One-Step Equations--Example 1 Math Example: Testing Solutions to One-Step Equations--Example 1

This is part of a collection of math examples that show how to solve one-step equations that include addition, subtraction, multiplication, or division.

 Solving One-Step Equations
Math Example: Testing Solutions to One-Step Equations--Example 10 Math Example: Testing Solutions to One-Step Equations--Example 10 Math Example: Testing Solutions to One-Step Equations--Example 10

This is part of a collection of math examples that show how to solve one-step equations that include addition, subtraction, multiplication, or division.

 Solving One-Step Equations
Math Example: Testing Solutions to One-Step Equations--Example 11 Math Example: Testing Solutions to One-Step Equations--Example 11 Math Example: Testing Solutions to One-Step Equations--Example 11

This is part of a collection of math examples that show how to solve one-step equations that include addition, subtraction, multiplication, or division.

 Solving One-Step Equations
Math Example: Testing Solutions to One-Step Equations--Example 12 Math Example: Testing Solutions to One-Step Equations--Example 12 Math Example: Testing Solutions to One-Step Equations--Example 12

This is part of a collection of math examples that show how to solve one-step equations that include addition, subtraction, multiplication, or division.

 Solving One-Step Equations
Math Example: Testing Solutions to One-Step Equations--Example 2 Math Example: Testing Solutions to One-Step Equations--Example 2 Math Example: Testing Solutions to One-Step Equations--Example 2

This is part of a collection of math examples that show how to solve one-step equations that include addition, subtraction, multiplication, or division.

 Solving One-Step Equations
Math Example: Testing Solutions to One-Step Equations--Example 3 Math Example: Testing Solutions to One-Step Equations--Example 3 Math Example: Testing Solutions to One-Step Equations--Example 3

This is part of a collection of math examples that show how to solve one-step equations that include addition, subtraction, multiplication, or division.

 Solving One-Step Equations
Math Example: Testing Solutions to One-Step Equations--Example 4 Math Example: Testing Solutions to One-Step Equations--Example 4 Math Example: Testing Solutions to One-Step Equations--Example 4

This is part of a collection of math examples that show how to solve one-step equations that include addition, subtraction, multiplication, or division.

 Solving One-Step Equations
Math Example: Testing Solutions to One-Step Equations--Example 5 Math Example: Testing Solutions to One-Step Equations--Example 5 Math Example: Testing Solutions to One-Step Equations--Example 5

This is part of a collection of math examples that show how to solve one-step equations that include addition, subtraction, multiplication, or division.

 Solving One-Step Equations
Math Example: Testing Solutions to One-Step Equations--Example 6 Math Example: Testing Solutions to One-Step Equations--Example 6 Math Example: Testing Solutions to One-Step Equations--Example 6

This is part of a collection of math examples that show how to solve one-step equations that include addition, subtraction, multiplication, or division.

 Solving One-Step Equations
Math Example: Testing Solutions to One-Step Equations--Example 7 Math Example: Testing Solutions to One-Step Equations--Example 7 Math Example: Testing Solutions to One-Step Equations--Example 7

This is part of a collection of math examples that show how to solve one-step equations that include addition, subtraction, multiplication, or division.

 Solving One-Step Equations
Math Example: Testing Solutions to One-Step Equations--Example 8 Math Example: Testing Solutions to One-Step Equations--Example 8 Math Example: Testing Solutions to One-Step Equations--Example 8

This is part of a collection of math examples that show how to solve one-step equations that include addition, subtraction, multiplication, or division.

 Solving One-Step Equations
Math Example: Testing Solutions to One-Step Equations--Example 9 Math Example: Testing Solutions to One-Step Equations--Example 9 Math Example: Testing Solutions to One-Step Equations--Example 9

This is part of a collection of math examples that show how to solve one-step equations that include addition, subtraction, multiplication, or division.

 Solving One-Step Equations
MATH EXAMPLES--Teacher's Guide: Algebra Tiles MATH EXAMPLES--Teacher's Guide: Algebra Tiles MATH EXAMPLES--Teacher's Guide: Algebra Tiles

What Are Algebra Tiles?

Numerical Models

 Algebra Tiles--Expressions and Equations
MATH EXAMPLES--Teacher's Guide: Linear Inequalities MATH EXAMPLES--Teacher's Guide: Linear Inequalities MATH EXAMPLES--Teacher's Guide: Linear Inequalities

This Teacher's Guide provides an overview of the 12 worked-out examples that show how to graph a linear inequality.

This is part of a collection of teacher's guides. To see the complete collection of teacher's guides, click on this link. Note: The download is a PDF file.

Related Resources

To see resources related to this topic click on the Related Resources tab above.

 Inequalities
MATH EXAMPLES--Teacher's Guide: Solving Equations with Fractions MATH EXAMPLES--Teacher's Guide: Solving Equations with Fractions MATH EXAMPLES--Teacher's Guide: Solving Equations with Fractions

This Teacher's Guide provides an overview of the 13 worked-out examples that solve a variety of one-variable equations with fractions.

This is part of a collection of teacher's guides. To see the complete collection of teacher's guides, click on this link. Note: The download is a PDF file.

Related Resources

To see resources related to this topic click on the Related Resources tab above.

 Solving Fraction Equations
MATH EXAMPLES--Teacher's Guide: Solving Equations with Percents MATH EXAMPLES--Teacher's Guide: Solving Equations with Percents MATH EXAMPLES--Teacher's Guide: Solving Equations with Percents

What Are Percents?

Percents Are a Type of Fraction 		Solving Percent Equations
MATH EXAMPLES--Teacher's Guide: Solving One-Variable Equations MATH EXAMPLES--Teacher's Guide: Solving One-Variable Equations MATH EXAMPLES--Teacher's Guide: Solving One-Variable Equations

This Teacher's Guide provides an overview of the 27 worked-out examples that solve a variety of one-variable equations.

This is part of a collection of teacher's guides. To see the complete collection of teacher's guides, click on this link. Note: The download is a PDF file.

Related Resources

To see resources related to this topic click on the Related Resources tab above.

 Applications of Equations and Inequalities
Math in the News: Issue 112--Back-to-School Purchases Math in the News: Issue 112--Back-to-School Purchases Math in the News: Issue 112--Back-to-School Purchases

September 2016. In this issue of Math in the News, we look at back-to-school purchases and the impact that different tax rates have on the total cost.

This is part of the Math in the News collection. To see the complete collection, click on this link. Note: The download is a PPT file.

Related Resources

To see resources related to this topic click on the Related Resources tab above.

 Data Analysis
Math in the News: Issue 84--Comet ISON Approaches Math in the News: Issue 84--Comet ISON Approaches Math in the News: Issue 84--Comet ISON Approaches

November 2013. In this issue of Math in the News we look at the arrival of Comet ISON, scheduled for arrival in late November 2013. We model the trajectory of the comet using a parabolic model.

This is part of the Math in the News collection. To see the complete collection, click on this link. Note: The download is a PPT file.

Related Resources

To see resources related to this topic click on the Related Resources tab above.

 Applications of Quadratic Functions
Paper-and-Pencil Quiz: Algebra Tiles (Easy) Paper-and-Pencil Quiz: Algebra Tiles (Easy) Paper-and-Pencil Quiz: Algebra Tiles (Easy)

This is part of a collection of math quizzes on the topic of algebra tiles.

To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key).

Related Resources

To see additional resources on this topic, click on the Related Resources tab.

Quiz Library

To see the complete collection of Quizzes, click on this link.

ary">click on this link.

 Algebra Tiles--Expressions and Equations