Card Sort: Linear Systems

Learning Resource Type

Classroom Resource

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.

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.

CR Resource Type

Learning Activity

Resource Provider

Other

License Type

Custom

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

Custom License Type (URL)

https://www.desmos.com/terms

Accessibility

Text Resources: Content is organized under headings and subheadings

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.

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Approved Date

2020-06-08

Owner (Author)

yvetteakridge

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