April 21, 2015

Prove that linear functions grow by equal differences over equal

intervals; and that exponential functions grow by equal factors

over equal intervals.

Exercises from Illustrative Mathematics

A set of exercises, commentary, and solutions. For this unit, choose:

F-LE Identifying Functions

F-LE Equal Differences over Equal Intervals 1

F-LE Equal Differences over Equal Intervals 2

F-LE Equal Factors over Equal Intervals

- Mathematics > General
- Mathematics > Algebra

- Grade 9
- Grade 10

Make sense of problems and persevere in solving them.

Reason abstractly and quantitatively.

Model with mathematics.

Use appropriate tools strategically.

Attend to precision.

Look for and make use of structure.

Look for and express regularity in repeated reasoning.

Prove that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals.