Description
In this GNAW Activity your Algebra 2 or PreCalculus students will explore problems related to inverse functions that can be represented graphically, numerically, analytically, and verbally. They will make connections among these representations.
You will find two different versions and a BONUS EDITABLE GNAW TEMPLATE to create your own GNAW activity for any level student.
Learning Objectives:
- Students will use the Rule of Four to graphically represent a function
- Students will find numeric values for the function and its inverse.
- Students will solve for the inverse function algebraically.
- Students will analyze the function and its inverse for key concepts.
What is GNAW and the Rule of Four?
The โRule of Fourโ 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 โtoneโ 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.
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