Classroom Resource

Card Sort: Linear Systems

Subject Area

Mathematics

Grade(s)

9, 10, 11, 12

Overview

In this Desmos activity, students practice what they have learned about solving systems of linear equations. The activity begins with a review of the graphical meaning of a solution to a system. Later, students consider which algebraic method is most efficient for solving a given system. Finally, students practice solving equations using substitution and elimination. Prior to beginning this activity, students should have experience solving systems of linear equations graphically and algebraically. This Desmos activity offers sample student responses and a teacher guide.

Content Standards

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.

Unpacked Content

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.

Interdisciplinary Connection(s)

Link to Resource

https://teacher.desmos.com/activitybuilder/custom/5798d64583de446662ea8ddd

Content Type / Source

CR Resource Type

Learning Activity

Resource Provider

Other

Accessibility

Accessibility

Text Resources: Content is organized under headings and subheadings

License

License Type

Custom

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.
Invites 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

Curated by

yvetteakridge

Design by Adaptive Theme