Systems of Two Linear Equations

Learning Resource Type

Classroom Resource

Subject Area

Mathematics

Grade(s)

9, 10, 11, 12

Overview

Students will use a Desmos activity to solve systems of linear equations. In this activity, students write and solve a system of two linear equations to explore the numerical and graphical meaning of "solution." The activity closes by asking students to apply what they have learned to similar situations. This Desmos activity offers sample student responses and a teacher guide.

Mathematics (2019) Grade(s): 09-12 - Algebra I with Probability

MA19.A1.10
Select an appropriate method to solve a system of two linear equations in two variables.

Vocabulary

Solution of a system of linear equations
Substitution method
Elimination method
Graphically solve
System of linear equations
Solving systems by addition
Tabular methods

Knowledge

Students know:

Appropriate use of properties of addition, multiplication and equality.
Techniques for producing and interpreting graphs of linear equations.
Techniques for producing and interpreting tables of linear equations.
The conditions under which a system of linear equations has 0, 1, or infinitely many solutions.

Skills

Students are able to:

Accurately perform the operations of multiplication and addition, and techniques for manipulating equations.
Graph linear equations precisely.
Create tables and locate solutions from the tables for systems of linear equations.
Use estimation to find approximate solutions on a graph.
Contrast solution methods and determine efficiency of a method for a given problem situation.

Understanding

Students understand that:

The solution of a linear system is the set of all ordered pairs that satisfy both equations.
Solving a system by graphing or with tables can sometimes lead to approximate solutions.
A system of linear equations will have 0, 1, or infinitely many solutions.

Resource Provider

Other

License Type

CUSTOM

https://teacher.desmos.com/activitybuilder/custom/5807d7306ef115e7053a142a

Custom License Type (URL)

https://www.desmos.com/terms

Comments or Notes

Desmos's mission is to help every student learn math and love learning math. Teachers can explore and enjoy Desmos collections of free digital math activities that include:

Meaningful feedback by showing students what their answers mean, then give them the opportunity to improve their thinking and revise their work.
Collaboration by using devices to connect students, not to isolate them. Students see their classmates' thinking. They ask each other questions and create challenges for each other.
Invite students to solve challenging problems using the tools they already have.

If the teacher does not have an account, he/she will need to create a FREE account. (More information on how Desmos works can be found at Getting Started.)

Once the teacher has selected an activity to run, he/she will need to click on the "Create Class Code" button. This will generate a unique class code and a link to view the dashboard. (More information can be found at Creating a Class Code.) Every new activity will need a new class code in order to start a session. Students cannot start the activity until they have the class code so sessions can be started days, hours, or mere minutes before the teacher plans to run the activity. When the teacher is ready to have students start, have the students go to student.desmos.com and enter the class code. Although it is not required, Desmos strongly encourages students to sign in with their Desmos Student Account. Signing in allows students to resume and view their past activity work.

Approved Date

2020-06-08

Owner (Author)

yvetteakridge

Design by Adaptive Theme