Grade 08 Mathematics - EC: M08.B-F.1.1.3
Grade 08 Mathematics - EC: M08.B-F.1.1.3
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
In questions 1 and 2, identify each graph as representing a linear or nonlinear function:
- Does the given table represent a linear or nonlinear function? Explain.
- Does the given table represent a linear or nonlinear function? Explain.
- Describe each of the following equations as linear or nonlinear and explain why.
- Construct a table to represent a linear function and a table to represent a nonlinear function. Be prepared to trade with a partner and explain your answers.
Answer Key/Rubric
- Linear
- Nonlinear
- Linear
Explanations may include, but are not limited to:
- As x increases by 3, y increases by 5. The rate of change is constant and therefore the function is linear.
- Nonlinear
Explanations may include, but are not limited to:
- As x increases by 2, y decreases by different amounts. The rate of change is not constant and therefore the function is not linear.
- Answers as follows. Explanations may include, but are not limited to those given below.
- Linear. The equation is written in the slope-intercept form.
- Linear. The equation can be written in the slope-intercept form; fractions in a problem don’t automatically mean it is nonlinear.
- Nonlinear. The x squared means this is nonlinear. The equation cannot be written in slope-intercept form.
- Answers will vary. Students should provide an answer key along with their tables explaining why they think it is linear or nonlinear.
