Grade 08 Mathematics - EC: M08.B-E.2.1.2
Grade 08 Mathematics - EC: M08.B-E.2.1.2
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
Related Academic Standards / Eligible Content
Activities
- Identify the slope of the line shown in the graph below.
- Determine if each pair of right triangles is similar.
- The graph shows similar right triangles drawn using points on the given line.
- For each triangle, identify the ratio of the vertical leg to the horizontal leg.
- Explain how the ratios relate to the slope of the line.
- Use the line shown in the graph below to answer the questions.
- Draw two triangles that show the rise and run of the line using points A and D and points B and C.
- What is the slope of the line? Explain.
- Explain why you can find the slope of a given line using any two points on that line.
- Use right triangles to prove the slope of the line below is
.
Answer Key/Rubric
- Slope = -1
- Answers as follows:
- Yes, they are similar
- No, they are not similar
- Answers as follows:
- Triangle ABC:
- Triangle ABC:
Triangle XYZ:
- Slope of the line is the ratio of rise over run so it is
.
- Answers as follows:
- 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
- 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
- Acceptable answers may include, but are not limited to:
- Graph:
- Triangle ADC:
- Triangle BEC:
