Grade 08 Mathematics - EC: M08.B-F.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

M08.B-F.2.1.2 M08.B-F.2.1.2

Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear). Sketch or determine a graph that exhibits the qualitative features of a function that has been described verbally.

Activities

Match the graphs with the given descriptions.

Thomas’s speed increased steadily over time.
Sophia was running at a constant speed until the end when she gradually kept getting slower until she reached the finish line and stopped.
The city bus making stops along Main Street.

The graph below represents the water level in a bathtub. Describe what is happening over time.

Sketch a graph to represent the following situation:

A car is traveling at a constant speed. The car slows down steadily and stops at a red light before accelerating again to a constant speed slightly slower than before.

Create a situation in which your partner will need to sketch a graph. Be sure to provide an answer key to be used when checking your partner’s work.

Create a qualitative graph for which your partner will need to write a situation. Be sure to provide an answer key to be used when checking your partner’s work.

Answer Key/Rubric

Graphs should be matched as follows:
1. Graph II
2. Graph III
3. Graph I

Answers will vary, but should be similar to:

The bath water is increasing at a steady rate in the beginning.
The water is turned off and the level of water remains the same for a period of time.
The bath water is then let out at a steady rate that is a little slower than it was put in.
The level ends up where it started, most likely at zero

Graphs should be similar to:

Situations will vary. Be sure to check that the answer key is accurate.

Graphs will vary. Be sure to check that the answer key is accurate.