Title: |
Grade 8 Mathematics Module 4, Topic B: Linear Equations in Two Variables and Their Graphs |
URL: |
https://www.engageny.org/resource/grade-8-mathematics-module-4-topic-b-overview |
Content Source: |
EngageNY
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| Type: |
Lesson/Unit Plan
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Overview: |
In Module 4, Topic B, students work with constant speed, a concept learned in Grade 6 (6.RP.A.3), but this time with proportional relationships related to average speed and constant speed. These relationships are expressed as linear equations in two variables. Students find solutions to linear equations in two variables, organize them in a table, and plot the solutions on a coordinate plane (8.EE.C.8a). It is in Topic B that students begin to investigate the shape of a graph of a linear equation. Students predict that the graph of a linear equation is a line and select points on and off the line to verify their claim. Also in this topic is the standard form of a linear equation, ax + by = c, and when a, b ≠ 0, a non-vertical line is produced. Further, when a or b = 0, then a vertical or horizontal line is produced.
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| Content Standard(s): |
Mathematics
MA2019 (2019)
Grade: 8
| 8. Graph proportional relationships.
a. Interpret the unit rate of a proportional relationship, describing the constant of proportionality as the slope of the graph which goes through the origin and has the equation y = mx where m is the slope.
Alabama Alternate Achievement Standards
| Mathematics
MA2019 (2019)
Grade: 8
| 12. Solve systems of two linear equations in two variables by graphing and substitution.
a. Explain that the solution(s) of systems of two linear equations in two variables corresponds to points of intersection on their graphs because points of intersection satisfy both equations simultaneously.
b. Interpret and justify the results of systems of two linear equations in two variables (one solution, no solution, or infinitely many solutions) when applied to real-world and mathematical problems.
Alabama Alternate Achievement Standards
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| Tags:
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algebra, coordinate, graph, linear equations, proportional, slope, variables |
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Custom Permission Type
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| Accessibility | Text Resources: Content is organized under headings and subheadings |
| Comments | There are five lessons in this topic.
This resource is free for teachers to access and use. All resources required for the lessons are available to print from the site. |