EE.3.8.a

Analyze and solve pairs of simultaneous linear equations.

a.  Understand that solutions to a system of two linear equations in two variables correspond to points of intersection of their graphs, because points of intersection satisfy both equations simultaneously.

Assessment Banner - Assessment Questions Now Available!
Formative Assessments
Formative Assessments
Assessment Logo. Includes a gray clipboard on a blue background.
CPALMS: Students are asked to determine the number of solutions of each of four systems of linear equations without solving the systems of equations.

How Many Solutions?

Assessment Logo. Includes a gray clipboard on a blue background.
CPALMS: Students are asked to solve three systems of linear equations algebraically.

Solving Systems of Linear Equations

Assessment Logo. Includes a gray clipboard on a blue background.
CPALMS: Students are asked to identify the solutions of systems of equations from their graphs and justify their answers.

Identify the Solution

Assessment Logo. Includes a gray clipboard on a blue background.
CPALMS: Students are asked to solve a word problem by solving a system of equations.

System Solutions

Assessment Logo. Includes a gray clipboard on a blue background.
CPALMS: Students are asked to solve a system of linear equations by graphing.

Solving System of Linear Equations by Graphing

Assessment Logo. Includes a gray clipboard on a blue background.
CPALMS: Students are given word problems and asked to write a pair of simultaneous linear equations that could be used to solve them.

Writing System Equations

Virtual/Hands On Manipulatives
Virtual/Hands On Manipulatives
Content Coming Soon Logo
We're currently looking for great content to go here!
Change Me To Real Text
Content Coming Soon Logo
We're currently looking for great content to go here!
Change Me To Real Text
Content Coming Soon Logo
We're currently looking for great content to go here!
Change Me To Real Text
Assessment Questions
Assessment Questions
Assessments Logo. Includes 3 gray question marks on a purple background.
Click on this text to download this document.
Equation Editor 3
Assessments Logo. Includes 3 gray question marks on a purple background.
Click on this text to download this document.
Equation Editor 7
Assessments Logo. Includes 3 gray question marks on a purple background.
Click on this text to download this document.
GRID 6
Assessments Logo. Includes 3 gray question marks on a purple background.
Click on this text to download this document.
Equation Editor 4
Assessments Logo. Includes 3 gray question marks on a purple background.
Click on this text to download this document.
Equation Editor 8
Assessments Logo. Includes 3 gray question marks on a purple background.
Click on this text to download this document.
Matching Item
Assessments Logo. Includes 3 gray question marks on a purple background.
Click on this text to download this document.
Equation Editor 5
Assessments Logo. Includes 3 gray question marks on a purple background.
Click on this text to download this document.
GRID 1
Assessments Logo. Includes 3 gray question marks on a purple background.
Click on this text to download this document.
Open Response
Videos of Expert Instruction
Videos of Expert Instruction
Decorative Light Bulb. Image includes gray lightbulb on purple background.
Who will win?
Playing Catch Up
Use Real Link and Title
Use Real Link and Title
Hook/Performance Tasks
Hook/Performance Tasks
Achievement Level Descriptors Logo. Includes a dark gray document symbol on a yellow background.
Illustrative Mathematics:The purpose of this task is to introduce students to systems of equations. Using knowledge of writing the equation of a given line, students are introduced to the idea that the solution to a system of equations is the point where the graphs of the equations intersect.

The Intersection of Two Lines

Achievement Level Descriptors Logo. Includes a dark gray document symbol on a yellow background.
Illustrative Mathematics: The purpose of this task is to find and solve a pair of linear equations which can be used to understand a common method of folding a square piece of origami paper into thirds. It is important for students to do the actual paper folding.

Folding a Square into Thirds

Achievement Level Descriptors Logo. Includes a dark gray document symbol on a yellow background.
Illustrative Mathematics:This task requires the student to write linear equations to model different cell phone plans. Looking at the graphs of the lines in the context, students connect the meaning of the intersection points of two lines with the simultaneous solution of 2 linear equations.

Cell Phone Plans

Achievement Level Descriptors Logo. Includes a dark gray document symbol on a yellow background.
Illustrative Mathematics: In this task, students are given an equation to consider, and then, they are given specific criteria and asked to find a second linear equation in order to create a system of equations.

How Many Solutions?

Achievement Level Descriptors Logo. Includes a dark gray document symbol on a yellow background.
Illustrative Mathematics: This task can be used to promote discussion and student thinking that would allow stronger understanding of systems of linear equations. Solution can be determined graphical or an algebraic approach.

Fixing the Furnace

Achievement Level Descriptors Logo. Includes a dark gray document symbol on a yellow background.
Illustrative Mathematics: Students are to consider 2 people's jobs and their earnings plus weekly allowances. Completing a table to compare the information, students will write equations that can be used to determine totals, as well as sketch graphs to model the equations.

Kimi and Jordan