# GNAW on Rates of Change (Calculus - Unit 2)

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Product Description

Here are two G.N.A.W. exercises for your AP Calculus students on the concepts of Average Rates of Change (AROC) and Instantaneous Rates of Change (IROC). This is an essential skill that must be mastered for success on the AP Calculus Exam and Free Response Questions (FRQ). The activity includes two different prompts related to rates of change.

Learning Objectives:

• Students will use the Rule of Four in analyzing concepts, graphs and equations related to rates of change.
• Students will find average rates of change and instantaneous rates of change.
• Students will analyze functions and write equations of tangent lines.

What is GNAW and the Rule of Four?

The “Rule of Four” or G.N.A.W. Approach is a method of thinking about mathematics in order to make connections through multiple representations of our mathematical thinking. Students should be able to represent mathematics in graphic, numeric, algebraic, and verbal formats. G.N.A.W.

Why should you use the GNAW approach?

By implementing this process into your classes, students will gain a deeper understanding of the mathematics. The Rule of Four helps students connect and validate concepts and techniques.

How can you use the Rule of Four?

Teachers can model this approach during instructional time to set the “tone” for expected thinking and reasoning. Then, give your students many chances to practice the techniques. It is also important that students learn to make connections between the different representations.

Here is a FREE ITEM that complement this unit:

Limit Definition Sum-It-Up Activity

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Total Pages
2 pages
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Lifelong tool
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