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Illustrative Math-Media4Math Alignment

 

 

Illustrative Math Alignment: Grade 8 Unit 3

Linear Equations and Linear Systems

Lesson 9: When Are They the Same?

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 1 Math Example--Solving Equations--Solving Equations with Angle Measures 2--Example 1 Solving Equations with Angle Measures 2--Example 1

Topic

Equations

 Solving Multistep Equations and Applications of Quadrilaterals
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--Systems of Equations--Solving Linear Systems by Elimination: Example 1 Math Example--Systems of Equations--Solving Linear Systems by Elimination: Example 1 Math Example--Systems of Equations--Solving Linear Systems by Elimination: Example 1

This is part of a collection of math examples that focus on systems of equations.

 Solving Systems of Equations
Math Example--Systems of Equations--Solving Linear Systems by Elimination: Example 10 Math Example--Systems of Equations--Solving Linear Systems by Elimination: Example 10 Math Example--Systems of Equations--Solving Linear Systems by Elimination: Example 10

This is part of a collection of math examples that focus on systems of equations.

 Solving Systems of Equations
Math Example--Systems of Equations--Solving Linear Systems by Elimination: Example 2 Math Example--Systems of Equations--Solving Linear Systems by Elimination: Example 2 Math Example--Systems of Equations--Solving Linear Systems by Elimination: Example 2

This is part of a collection of math examples that focus on systems of equations.

 Solving Systems of Equations
Math Example--Systems of Equations--Solving Linear Systems by Elimination: Example 3 Math Example--Systems of Equations--Solving Linear Systems by Elimination: Example 3 Math Example--Systems of Equations--Solving Linear Systems by Elimination: Example 3

This is part of a collection of math examples that focus on systems of equations.

 Solving Systems of Equations
Math Example--Systems of Equations--Solving Linear Systems by Elimination: Example 4 Math Example--Systems of Equations--Solving Linear Systems by Elimination: Example 4 Math Example--Systems of Equations--Solving Linear Systems by Elimination: Example 4

This is part of a collection of math examples that focus on systems of equations.

 Solving Systems of Equations
Math Example--Systems of Equations--Solving Linear Systems by Elimination: Example 5 Math Example--Systems of Equations--Solving Linear Systems by Elimination: Example 5 Math Example--Systems of Equations--Solving Linear Systems by Elimination: Example 5

This is part of a collection of math examples that focus on systems of equations.

 Solving Systems of Equations
Math Example--Systems of Equations--Solving Linear Systems by Elimination: Example 6 Math Example--Systems of Equations--Solving Linear Systems by Elimination: Example 6 Math Example--Systems of Equations--Solving Linear Systems by Elimination: Example 6

This is part of a collection of math examples that focus on systems of equations.

 Solving Systems of Equations
Math Example--Systems of Equations--Solving Linear Systems by Elimination: Example 7 Math Example--Systems of Equations--Solving Linear Systems by Elimination: Example 7 Math Example--Systems of Equations--Solving Linear Systems by Elimination: Example 7

This is part of a collection of math examples that focus on systems of equations.

 Solving Systems of Equations
Math Example--Systems of Equations--Solving Linear Systems by Elimination: Example 8 Math Example--Systems of Equations--Solving Linear Systems by Elimination: Example 8 Math Example--Systems of Equations--Solving Linear Systems by Elimination: Example 8

This is part of a collection of math examples that focus on systems of equations.

 Solving Systems of Equations
Math Example--Systems of Equations--Solving Linear Systems by Elimination: Example 9 Math Example--Systems of Equations--Solving Linear Systems by Elimination: Example 9 Math Example--Systems of Equations--Solving Linear Systems by Elimination: Example 9

This is part of a collection of math examples that focus on systems of equations.

 Solving Systems of Equations
Math Example--Systems of Equations--Solving Linear Systems by Graphing: Example 1 Math Example--Systems of Equations--Solving Linear Systems by Graphing: Example 1 Math Example--Systems of Equations--Solving Linear Systems by Graphing: Example 1

This is part of a collection of math examples that focus on systems of equations.

 Solving Systems of Equations
Math Example--Systems of Equations--Solving Linear Systems by Graphing: Example 10 Math Example--Systems of Equations--Solving Linear Systems by Graphing: Example 10 Math Example--Systems of Equations--Solving Linear Systems by Graphing: Example 10

This is part of a collection of math examples that focus on systems of equations.

 Solving Systems of Equations
Math Example--Systems of Equations--Solving Linear Systems by Graphing: Example 2 Math Example--Systems of Equations--Solving Linear Systems by Graphing: Example 2 Math Example--Systems of Equations--Solving Linear Systems by Graphing: Example 2

This is part of a collection of math examples that focus on systems of equations.

 Solving Systems of Equations
Math Example--Systems of Equations--Solving Linear Systems by Graphing: Example 3 Math Example--Systems of Equations--Solving Linear Systems by Graphing: Example 3 Math Example--Systems of Equations--Solving Linear Systems by Graphing: Example 3

This is part of a collection of math examples that focus on systems of equations.

 Solving Systems of Equations
Math Example--Systems of Equations--Solving Linear Systems by Graphing: Example 4 Math Example--Systems of Equations--Solving Linear Systems by Graphing: Example 4 Math Example--Systems of Equations--Solving Linear Systems by Graphing: Example 4

This is part of a collection of math examples that focus on systems of equations.

 Solving Systems of Equations
Math Example--Systems of Equations--Solving Linear Systems by Graphing: Example 5 Math Example--Systems of Equations--Solving Linear Systems by Graphing: Example 5 Math Example--Systems of Equations--Solving Linear Systems by Graphing: Example 5

This is part of a collection of math examples that focus on systems of equations.

 Solving Systems of Equations
Math Example--Systems of Equations--Solving Linear Systems by Graphing: Example 6 Math Example--Systems of Equations--Solving Linear Systems by Graphing: Example 6 Math Example--Systems of Equations--Solving Linear Systems by Graphing: Example 6

This is part of a collection of math examples that focus on systems of equations.

 Solving Systems of Equations
Math Example--Systems of Equations--Solving Linear Systems by Graphing: Example 7 Math Example--Systems of Equations--Solving Linear Systems by Graphing: Example 7 Math Example--Systems of Equations--Solving Linear Systems by Graphing: Example 7

This is part of a collection of math examples that focus on systems of equations.

 Solving Systems of Equations
Math Example--Systems of Equations--Solving Linear Systems by Graphing: Example 8 Math Example--Systems of Equations--Solving Linear Systems by Graphing: Example 8 Math Example--Systems of Equations--Solving Linear Systems by Graphing: Example 8

This is part of a collection of math examples that focus on systems of equations.

 Solving Systems of Equations
Math Example--Systems of Equations--Solving Linear Systems by Graphing: Example 9 Math Example--Systems of Equations--Solving Linear Systems by Graphing: Example 9 Math Example--Systems of Equations--Solving Linear Systems by Graphing: Example 9

This is part of a collection of math examples that focus on systems of equations.

 Solving Systems of Equations
Math Example--Systems of Equations--Solving Linear Systems by Substitution: Example 1 Math Example--Systems of Equations--Solving Linear Systems by Substitution: Example 1 Math Example--Systems of Equations--Solving Linear Systems by Substitution: Example 1

This is part of a collection of math examples that focus on systems of equations.

 Solving Systems of Equations
Math Example--Systems of Equations--Solving Linear Systems by Substitution: Example 10 Math Example--Systems of Equations--Solving Linear Systems by Substitution: Example 10 Math Example--Systems of Equations--Solving Linear Systems by Substitution: Example 10

This is part of a collection of math examples that focus on systems of equations.

 Solving Systems of Equations
Math Example--Systems of Equations--Solving Linear Systems by Substitution: Example 2 Math Example--Systems of Equations--Solving Linear Systems by Substitution: Example 2 Math Example--Systems of Equations--Solving Linear Systems by Substitution: Example 2

This is part of a collection of math examples that focus on systems of equations.

 Solving Systems of Equations
Math Example--Systems of Equations--Solving Linear Systems by Substitution: Example 3 Math Example--Systems of Equations--Solving Linear Systems by Substitution: Example 3 Math Example--Systems of Equations--Solving Linear Systems by Substitution: Example 3

This is part of a collection of math examples that focus on systems of equations.

 Solving Systems of Equations
Math Example--Systems of Equations--Solving Linear Systems by Substitution: Example 4 Math Example--Systems of Equations--Solving Linear Systems by Substitution: Example 4 Math Example--Systems of Equations--Solving Linear Systems by Substitution: Example 4

This is part of a collection of math examples that focus on systems of equations.

 Solving Systems of Equations
Math Example--Systems of Equations--Solving Linear Systems by Substitution: Example 5 Math Example--Systems of Equations--Solving Linear Systems by Substitution: Example 5 Math Example--Systems of Equations--Solving Linear Systems by Substitution: Example 5

This is part of a collection of math examples that focus on systems of equations.

 Solving Systems of Equations
Math Example--Systems of Equations--Solving Linear Systems by Substitution: Example 6 Math Example--Systems of Equations--Solving Linear Systems by Substitution: Example 6 Math Example--Systems of Equations--Solving Linear Systems by Substitution: Example 6

This is part of a collection of math examples that focus on systems of equations.

 Solving Systems of Equations
Math Example--Systems of Equations--Solving Linear Systems by Substitution: Example 7 Math Example--Systems of Equations--Solving Linear Systems by Substitution: Example 7 Math Example--Systems of Equations--Solving Linear Systems by Substitution: Example 7

This is part of a collection of math examples that focus on systems of equations.

 Solving Systems of Equations
Math Example--Systems of Equations--Solving Linear Systems by Substitution: Example 8 Math Example--Systems of Equations--Solving Linear Systems by Substitution: Example 8 Math Example--Systems of Equations--Solving Linear Systems by Substitution: Example 8

This is part of a collection of math examples that focus on systems of equations.

 Solving Systems of Equations
Math Example--Systems of Equations--Solving Linear Systems by Substitution: Example 9 Math Example--Systems of Equations--Solving Linear Systems by Substitution: Example 9 Math Example--Systems of Equations--Solving Linear Systems by Substitution: Example 9

This is part of a collection of math examples that focus on systems of equations.

 Solving Systems of Equations
Math in the News: Issue 6--The BP Oil Spill, a Year Later Math in the News: Issue 6--The BP Oil Spill, a Year Later Math in the News: Issue 6--The BP Oil Spill, a Year Later

4/25/11. In this issue we discuss the BP oil spill one year after the spill. In particular we look at how damaging oil spills are to marine life and to oxygen levels in the water.

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
VIDEO: Overview of Variables and Equations VIDEO: Overview of Variables and Equations VIDEO: Overview of Variables and Equations

What Is a Variable?

A variable is a symbol, usually a letter, that can stand for different things.

 Variable Expressions, Applications of Equations and Inequalities and Variables and Unknowns
Paper-and-Pencil Quiz: Equations with Fractions (Easy) Paper-and-Pencil Quiz: Equations with Fractions (Easy) Paper-and-Pencil Quiz: Equations with Fractions (Easy)

This is part of a collection of math quizzes on the topic of Equations with Fractions.

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

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Quiz Library

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

ary">click on this link.

 Solving Fraction Equations
Paper-and-Pencil Quiz: Equations with Fractions (Hard) Paper-and-Pencil Quiz: Equations with Fractions (Hard) Paper-and-Pencil Quiz: Equations with Fractions (Hard)

This is part of a collection of math quizzes on the topic of Equations with Fractions.

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.

 Solving Fraction Equations
Paper-and-Pencil Quiz: Equations with Fractions (Medium) Paper-and-Pencil Quiz: Equations with Fractions (Medium) Paper-and-Pencil Quiz: Equations with Fractions (Medium)

This is part of a collection of math quizzes on the topic of Equations with Fractions.

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.

 Solving Fraction Equations
Paper-and-Pencil Quiz: Equations with Percents (Easy) Paper-and-Pencil Quiz: Equations with Percents (Easy) Paper-and-Pencil Quiz: Equations with Percents (Easy)

This is part of a collection of math quizzes on the topic of Equations with Percents.

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

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Quiz Library

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ary">click on this link.

 Solving Percent Equations
Paper-and-Pencil Quiz: Equations with Percents (Hard) Paper-and-Pencil Quiz: Equations with Percents (Hard) Paper-and-Pencil Quiz: Equations with Percents (Hard)

This is part of a collection of math quizzes on the topic of Equations with Percents.

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

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Quiz Library

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

ary">click on this link.

 Solving Percent Equations
Paper-and-Pencil Quiz: Equations with Percents (Medium) Paper-and-Pencil Quiz: Equations with Percents (Medium) Paper-and-Pencil Quiz: Equations with Percents (Medium)

This is part of a collection of math quizzes on the topic of Equations with Percents.

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.

 Solving Percent Equations
Promethean Flipchart: Algebra Nspirations: Systems of Equations

Written and hosted by internationally acclaimed math educator Dr. Monica Neagoy, this video introduces students to systems of linear equations in two or three unknowns. To solve these systems, the host illustrates a variety of methods: four involve the TI-Nspire (spreadsheet, graphs and geometry, matrices and nSolve) and two are the classic algebraic methods known as substitution and elimination, also called the linear combinations method. The video ends with a summary of the three possible types of solutions. Concepts explored: equations, linear equations, linear systems Note: The download for this resources is the Promethean Flipchart.

To access the full video [Algebra Nspirations: Solving Systems of Equations]: https://media4math.com/library/algebra-nspirations-solving-systems-equations

 Applications of Linear Systems
Quizlet Flash Cards: Evaluating Quadratic Functions, Set 01 Quizlet Flash Cards: Evaluating Quadratic Functions, Set 01 Description

Evaluate quadratic functions of the form f(x) = ax^2 + bx + c in this 20-flash card set. The values of a and b are in the range -10 to 10.

Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards.

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Quizlet Library

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 Applications of Quadratic Functions