Grade 08 Mathematics - EC: M08.B-F.1.1.1
Grade 08 Mathematics - EC: M08.B-F.1.1.1
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
- Define function.
- State the domain and range of the following relation: {(2, -3), (4, 6), (3, -1), (6, 6), (2, 3)}
- Identify whether or not the following are functions and explain why or why not:
- Identify whether or not the following are functions and explain why or why not:
- Write the follow as a relation, state the domain and range, and then determine if it is a function with an explanation as to why or why not.
Answer Key/Rubric
- A function is a relation where each input has exactly one output.
- Domain: 2, 3, 4, 6
Range: -3, -1, 3, 6
- Answers as follows. Explanations may vary slightly.
- Yes, each input has exactly one output.
- Yes, each input has exactly one output, doesn’t matter that the output is the same for all of them.
- No, the input 1 has two different outputs.
- No, the input 16 has no output.
- Answers as follows. Explanations may vary slightly.
- Yes, passes the vertical line test so each input has exactly one output.
- No, will not pass the vertical line test meaning at least one input will have more than one output.
- No, will not pass the vertical line test meaning at least one input will have more than one output.
- Yes, passes the vertical line test so each input has exactly one output.
- Relation: {(-7, 0), (-6, 2), (-4, -3), (0, 1), (4, -6), (4, 8), (5, 4), (7, 0)}
Domain: -7, -6, -4, 0, 4, 5, 7
Range: -6, -3, 0, 1, 2, 4, 8
No, this is not a function because the input of 4 has two different outputs. Also, based on the graph, it will not pass the vertical line test.
