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Grade 08 Mathematics - EC: M08.B-E.2.1.2

Grade 08 Mathematics - EC: M08.B-E.2.1.2

Continuum of Activities

Continuum of Activities

The list below represents a continuum of activities: resources categorized by Standard/Eligible Content that teachers may use to move students toward proficiency. Using LEA curriculum and available materials and resources, teachers can customize the activity statements/questions for classroom use.

This continuum of activities offers:

  • Instructional activities designed to be integrated into planned lessons
  • Questions/activities that grow in complexity
  • Opportunities for differentiation for each student’s level of performance

Grade Levels

8th Grade

Course, Subject

Mathematics

Activities

  1. Identify the slope of the line shown in the graph below.

  2. Determine if each pair of right triangles is similar.


  1. The graph shows similar right triangles drawn using points on the given line.

  1. For each triangle, identify the ratio of the vertical leg to the horizontal leg.
  2. Explain how the ratios relate to the slope of the line.
  1. Use the line shown in the graph below to answer the questions.

  1. Draw two triangles that show the rise and run of the line using points A and D and points B and C.
  2. What is the slope of the line?  Explain.

 

  1. Explain why you can find the slope of a given line using any two points on that line.
  1. Use right triangles to prove the slope of the line below is .

Answer Key/Rubric

  1. Slope = -1
  1. Answers as follows:

    1. Yes, they are similar
    2. No, they are not similar
  1. Answers as follows:

    1. Triangle ABC:

Triangle XYZ:

  1. Slope of the line is the ratio of rise over run so it is .
  1. Answers as follows:

  1. Slope is -4 or .
    Acceptable reasons may include, but are not limited to:
  • Slope is the ratio of rise to run or
  • The ratios of each triangle reduce to
  1. Acceptable answers may include, but are not limited to:
  • The slope of the line is constant throughout the entire line
  • Slope is the ratio of rise to run
  • Right triangles drawn to show the slope using any two points on a line are similar
  1. Acceptable answers may include, but are not limited to:
  • Graph:

  • Triangle ADC:

  • Triangle BEC:

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