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Grade 8 Extension Menu
Graphing Linear Equations
Choose a learning activity from one square to complete. If you choose the square, “Write your idea here,” please see the teacher with your idea first.
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|1. Design a brochure that describes at least |2. Visit the website | 3. Study the following information: |
|three different methods that can be used to graph| to |The maximum slope of a wheelchair ramp should be |
|a line. Include specific examples and the actual|observe examples of string art. Using the first |1/12. |
|graphs of the lines. |example, describe what is happening with the |You are limited to a building space of 10 ft by 6|
| |slope of the lines from the beginning to the end |ft. |
| |of the animation. |Design a ramp that could be built to enter a |
| | |building 4 feet off the ground. |
| |Print out one of the string art patterns and | |
| |devise a string art pattern using colored | |
| |pencils. | |
|4. The standard riser height for each step when |5. Identify three different linear inequalities |6. |
|building a deck in Maryland is 7.5 inches. The |that contain all of the points listed below in | |
|tread depth should be at least 10 inches. If you |its solution set. Utilize a different inequality|Write your idea here |
|need to build a set of stairs that is 15 feet |symbol for each example. | |
|high, determine how many steps you would need and| | |
|how far the steps would extend from the deck. |(-4,-5) (3,4) (2, -2) (6,1) | |
|Explain your reasoning. [pic] | | |
| | | |
| |Graph each inequality and justify that the four | |
| |points are solutions. | |
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Teacher Resource Page
Grade 8
Extension Menu
Concept and/or Topic: Graphing Linear Equations and Inequalities in Two Variables
Intended Purpose: Culminating activity for the unit or alternative activity for students who have mastered curricular indicators
Standards:
CCSS.Math.Content.8.EE.B.6 Use similar triangles to explain why the slope m is the same between any two distinct points on a non-vertical line in the coordinate plane; derive the equation y = mx for a line through the origin and the equation y = mx + b for a line intercepting the vertical axis at b.
CCSS.Math.Content.8.F.A.3 Interpret the equation y = mx + b as defining a linear function, whose graph is a straight line; give examples of functions that are not linear.
CCSS.Math.Content.8.EE.C.8c Solve real-world and mathematical problems leading to two linear equations in two variables.
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