Standard 4: Develop an understanding of two-variable systems of equations.

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General Information
Number: MA.8.AR.4
Title: Develop an understanding of two-variable systems of equations.
Type: Standard
Subject: Mathematics (B.E.S.T.)
Grade: 8
Strand: Algebraic Reasoning

Related Benchmarks

This cluster includes the following benchmarks.

Related Access Points

This cluster includes the following access points.

Access Points

MA.8.AR.4.AP.1a
Given a system of two linear equations displayed on a graph, identify the solution of a system as the point where the two lines intersect.
MA.8.AR.4.AP.1b
Identify the coordinates of the point of intersection for two linear equations plotted on a coordinate plane.
MA.8.AR.4.AP.2
Given a system of two linear equations represented graphically on the same coordinate plane, identify whether there is one solution or no solution.
MA.8.AR.4.AP.3
Given two sets of coordinates for two lines, plot the lines on a coordinate plane and describe or select the solution to a system of linear equations.

Related Resources

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Formative Assessments

Solving System of Linear Equations by Graphing:

Students are asked to solve a system of linear equations by graphing.

Type: Formative Assessment

Identify the Solution:

Students are asked to identify the solutions of systems of equations from their graphs and justify their answers.

Type: Formative Assessment

Lesson Plans

Exploring Systems of Equations using Graphing Calculators:

This lesson plan introduces the concept of graphing a system of linear equations. Students will use graphing technology to explore the meaning of the solution of a linear system including solutions that correspond to intersecting lines, parallel lines, and coinciding lines.
Students will also do graph linear systems by hand.

Type: Lesson Plan

My Candles are MELTING!:

In this lesson, students will apply their knowledge to model a real-world linear situation in a variety of ways. They will analyze a situation in which 2 candles burn at different rates. They will create a table of values, determine a linear equation, and graph each to determine if and when the candles will ever be the same height. They will also determine the domain and range of their functions and determine whether there are constraints on their functions.

Type: Lesson Plan

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