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Illustrative Math-Media4Math Alignment

 

 

Illustrative Math Alignment: Grade 7 Unit 7

Expressions, Equations, and Inequalities

Lesson 4: Reasoning about Equations and Tape Diagrams (Part 1)

Use the following Media4Math resources with this Illustrative Math lesson.

Thumbnail Image Title Body Curriculum Topic
Math Example--Solving Equations--Solving Equations with Angle Measures 2--Example 10 Math Example--Solving Equations--Solving Equations with Angle Measures 2--Example 10 Solving Equations with Angle Measures 2--Example 10

Topic

Equations

 Solving Multistep Equations and Applications of Quadrilaterals
Math Example--Solving Equations--Solving Equations with Angle Measures 2--Example 2 Math Example--Solving Equations--Solving Equations with Angle Measures 2--Example 2 Solving Equations with Angle Measures 2--Example 2

Topic

Equations

 Solving Multistep Equations and Applications of Quadrilaterals
Math Example--Solving Equations--Solving Equations with Angle Measures 2--Example 3 Math Example--Solving Equations--Solving Equations with Angle Measures 2--Example 3 Solving Equations with Angle Measures 2--Example 3

Topic

Equations

 Solving Multistep Equations and Applications of Quadrilaterals
Math Example--Solving Equations--Solving Equations with Angle Measures 2--Example 4 Math Example--Solving Equations--Solving Equations with Angle Measures 2--Example 4 Solving Equations with Angle Measures 2--Example 4

Topic

Equations

 Solving Multistep Equations and Applications of Quadrilaterals
Math Example--Solving Equations--Solving Equations with Angle Measures 2--Example 5 Math Example--Solving Equations--Solving Equations with Angle Measures 2--Example 5 Solving Equations with Angle Measures 2--Example 5

Topic

Equations

 Solving Multistep Equations and Applications of Quadrilaterals
Math Example--Solving Equations--Solving Equations with Angle Measures 2--Example 6 Math Example--Solving Equations--Solving Equations with Angle Measures 2--Example 6 Solving Equations with Angle Measures 2--Example 6

Topic

Equations

 Solving Multistep Equations and Applications of Quadrilaterals
Math Example--Solving Equations--Solving Equations with Angle Measures 2--Example 7 Math Example--Solving Equations--Solving Equations with Angle Measures 2--Example 7 Solving Equations with Angle Measures 2--Example 7

Topic

Equations

Description

This example demonstrates solving equations involving angle measures in a kite. A kite has two pairs of adjacent congruent angles. In this case, we have angles represented as (x+50)°, (x+50)°, (y+20)°, and y°. To solve this problem, we apply two key principles: the sum of angles in a quadrilateral is 360°, and the sum of the angles of a triangle is 180°. You can use the triangle equation to solve for y. Once you determine the value for y, you can use that to find x using either the triangle or the quadrilateral equation. In the solution shown, the triangle equation is used. 

 Solving Multistep Equations and Applications of Quadrilaterals
Math Example--Solving Equations--Solving Equations with Angle Measures 2--Example 8 Math Example--Solving Equations--Solving Equations with Angle Measures 2--Example 8 Solving Equations with Angle Measures 2--Example 8

Topic

Equations

Description

This example illustrates solving equations involving angle measures in a kite. The kite has two known angles of 70° and 40°, and two unknown angles represented as (x+y)°. To solve this problem, we look at the triangles formed by one of the diagonals of the kite and use the triangle equation. First solve for x with the top triangle. Once you find x, use that value to solve for y in the bottom triangle. You could also use the quadrilateral equation to solve for y.

 Solving Multistep Equations and Applications of Quadrilaterals
Math Example--Solving Equations--Solving Equations with Angle Measures 2--Example 9 Math Example--Solving Equations--Solving Equations with Angle Measures 2--Example 9 Solving Equations with Angle Measures 2--Example 9

Topic

Equations

 Solving Multistep Equations and Applications of Quadrilaterals
Math Example--Solving Equations--Solving Equations with Angle Measures--Example 1 Math Example--Solving Equations--Solving Equations with Angle Measures--Example 1 Solving Equations with Angle Measures--Example 1

Topic

Equations

 Solving Multistep Equations and Applications of Angles and Planes
Math Example--Solving Equations--Solving Equations with Angle Measures--Example 10 Math Example--Solving Equations--Solving Equations with Angle Measures--Example 10 Solving Equations with Angle Measures--Example 10

Topic

Equations

 Solving Multistep Equations and Applications of Angles and Planes
Math Example--Solving Equations--Solving Equations with Angle Measures--Example 11 Math Example--Solving Equations--Solving Equations with Angle Measures--Example 11 Solving Equations with Angle Measures--Example 11

Topic

Equations

 Solving Multistep Equations and Applications of Angles and Planes
Math Example--Solving Equations--Solving Equations with Angle Measures--Example 12 Math Example--Solving Equations--Solving Equations with Angle Measures--Example 12 Solving Equations with Angle Measures--Example 12

Topic

Equations

 Solving Multistep Equations and Applications of Angles and Planes
Math Example--Solving Equations--Solving Equations with Angle Measures--Example 13 Math Example--Solving Equations--Solving Equations with Angle Measures--Example 13 Solving Equations with Angle Measures--Example 13

Topic

Equations

 Solving Multistep Equations and Applications of Angles and Planes
Math Example--Solving Equations--Solving Equations with Angle Measures--Example 14 Math Example--Solving Equations--Solving Equations with Angle Measures--Example 14 Solving Equations with Angle Measures--Example 14

Topic

Equations

 Solving Multistep Equations and Applications of Angles and Planes
Math Example--Solving Equations--Solving Equations with Angle Measures--Example 15 Math Example--Solving Equations--Solving Equations with Angle Measures--Example 15 Solving Equations with Angle Measures--Example 15

Topic

Equations

 Solving Multistep Equations and Applications of Angles and Planes
Math Example--Solving Equations--Solving Equations with Angle Measures--Example 2 Math Example--Solving Equations--Solving Equations with Angle Measures--Example 2 Solving Equations with Angle Measures--Example 2

Topic

Equations

 Solving Multistep Equations and Applications of Angles and Planes
Math Example--Solving Equations--Solving Equations with Angle Measures--Example 3 Math Example--Solving Equations--Solving Equations with Angle Measures--Example 3 Solving Equations with Angle Measures--Example 3

Topic

Equations

 Solving Multistep Equations and Applications of Angles and Planes
Math Example--Solving Equations--Solving Equations with Angle Measures--Example 4 Math Example--Solving Equations--Solving Equations with Angle Measures--Example 4 Solving Equations with Angle Measures--Example 4

Topic

Equations

 Solving Multistep Equations and Applications of Angles and Planes
Math Example--Solving Equations--Solving Equations with Angle Measures--Example 5 Math Example--Solving Equations--Solving Equations with Angle Measures--Example 5 Solving Equations with Angle Measures--Example 5

Topic

Equations

 Solving Multistep Equations and Applications of Angles and Planes
Math Example--Solving Equations--Solving Equations with Angle Measures--Example 6 Math Example--Solving Equations--Solving Equations with Angle Measures--Example 6 Solving Equations with Angle Measures--Example 6

Topic

Equations

 Solving Multistep Equations and Applications of Angles and Planes
Math Example--Solving Equations--Solving Equations with Angle Measures--Example 7 Math Example--Solving Equations--Solving Equations with Angle Measures--Example 7 Solving Equations with Angle Measures--Example 7

Topic

Equations

 Solving Multistep Equations and Applications of Angles and Planes
Math Example--Solving Equations--Solving Equations with Angle Measures--Example 8 Math Example--Solving Equations--Solving Equations with Angle Measures--Example 8 Solving Equations with Angle Measures--Example 8

Topic

Equations

 Solving Multistep Equations and Applications of Angles and Planes
Math Example--Solving Equations--Solving Equations with Angle Measures--Example 9 Math Example--Solving Equations--Solving Equations with Angle Measures--Example 9 Solving Equations with Angle Measures--Example 9

Topic

Equations

 Solving Multistep Equations and Applications of Angles and Planes
Math Example: Solving Two-Step Equations of the Form ax + b = c--Example 1 Math Example: Solving Two-Step Equations of the Form ax + b = c--Example 1 Math Example: Solving Two-Step Equations of the Form ax + b = c--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 of the Form ax + b = c--Example 10 Math Example: Solving Two-Step Equations of the Form ax + b = c--Example 10 Math Example: Solving Two-Step Equations of the Form ax + b = c--Example 10

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 of the Form ax + b = c--Example 2 Math Example: Solving Two-Step Equations of the Form ax + b = c--Example 2 Math Example: Solving Two-Step Equations of the Form ax + b = c--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 of the Form ax + b = c--Example 3 Math Example: Solving Two-Step Equations of the Form ax + b = c--Example 3 Math Example: Solving Two-Step Equations of the Form ax + b = c--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 of the Form ax + b = c--Example 4 Math Example: Solving Two-Step Equations of the Form ax + b = c--Example 4 Math Example: Solving Two-Step Equations of the Form ax + b = c--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 of the Form ax + b = c--Example 5 Math Example: Solving Two-Step Equations of the Form ax + b = c--Example 5 Math Example: Solving Two-Step Equations of the Form ax + b = c--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 of the Form ax + b = c--Example 6 Math Example: Solving Two-Step Equations of the Form ax + b = c--Example 6 Math Example: Solving Two-Step Equations of the Form ax + b = c--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 of the Form ax + b = c--Example 7 Math Example: Solving Two-Step Equations of the Form ax + b = c--Example 7 Math Example: Solving Two-Step Equations of the Form ax + b = c--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 of the Form ax + b = c--Example 8 Math Example: Solving Two-Step Equations of the Form ax + b = c--Example 8 Math Example: Solving Two-Step Equations of the Form ax + b = c--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: Solving Two-Step Equations of the Form ax + b = c--Example 9 Math Example: Solving Two-Step Equations of the Form ax + b = c--Example 9 Math Example: Solving Two-Step Equations of the Form ax + b = c--Example 9

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 of the Form ax - b = c--Example 1 Math Example: Solving Two-Step Equations of the Form ax - b = c--Example 1 Math Example: Solving Two-Step Equations of the Form ax - b = c--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 of the Form ax - b = c--Example 10 Math Example: Solving Two-Step Equations of the Form ax - b = c--Example 10 Math Example: Solving Two-Step Equations of the Form ax - b = c--Example 10

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 of the Form ax - b = c--Example 2 Math Example: Solving Two-Step Equations of the Form ax - b = c--Example 2 Math Example: Solving Two-Step Equations of the Form ax - b = c--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 of the Form ax - b = c--Example 3 Math Example: Solving Two-Step Equations of the Form ax - b = c--Example 3 Math Example: Solving Two-Step Equations of the Form ax - b = c--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 of the Form ax - b = c--Example 4 Math Example: Solving Two-Step Equations of the Form ax - b = c--Example 4 Math Example: Solving Two-Step Equations of the Form ax - b = c--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 of the Form ax - b = c--Example 5 Math Example: Solving Two-Step Equations of the Form ax - b = c--Example 5 Math Example: Solving Two-Step Equations of the Form ax - b = c--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 of the Form ax - b = c--Example 6 Math Example: Solving Two-Step Equations of the Form ax - b = c--Example 6 Math Example: Solving Two-Step Equations of the Form ax - b = c--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 of the Form ax - b = c--Example 7 Math Example: Solving Two-Step Equations of the Form ax - b = c--Example 7 Math Example: Solving Two-Step Equations of the Form ax - b = c--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 of the Form ax - b = c--Example 8 Math Example: Solving Two-Step Equations of the Form ax - b = c--Example 8 Math Example: Solving Two-Step Equations of the Form ax - b = c--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: Solving Two-Step Equations of the Form ax - b = c--Example 9 Math Example: Solving Two-Step Equations of the Form ax - b = c--Example 9 Math Example: Solving Two-Step Equations of the Form ax - b = c--Example 9

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 of the Form x/a + b = c--Example 1 Math Example: Solving Two-Step Equations of the Form x/a + b = c--Example 1 Math Example: Solving Two-Step Equations of the Form x/a + b = c--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 of the Form x/a + b = c--Example 10 Math Example: Solving Two-Step Equations of the Form x/a + b = c--Example 10 Math Example: Solving Two-Step Equations of the Form x/a + b = c--Example 10

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 of the Form x/a + b = c--Example 2 Math Example: Solving Two-Step Equations of the Form x/a + b = c--Example 2 Math Example: Solving Two-Step Equations of the Form x/a + b = c--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 of the Form x/a + b = c--Example 3 Math Example: Solving Two-Step Equations of the Form x/a + b = c--Example 3 Math Example: Solving Two-Step Equations of the Form x/a + b = c--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 of the Form x/a + b = c--Example 4 Math Example: Solving Two-Step Equations of the Form x/a + b = c--Example 4 Math Example: Solving Two-Step Equations of the Form x/a + b = c--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 of the Form x/a + b = c--Example 5 Math Example: Solving Two-Step Equations of the Form x/a + b = c--Example 5 Math Example: Solving Two-Step Equations of the Form x/a + b = c--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