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In this GNAW Activity your Algebra 2 students will explore problems that can be represented graphically, numerically, analytically, and verbally. They will make connections among these representations. There are four different versions.
- Students will use the Rule of Four to graphically represent a system of linear equations.
- Students will solve the system using substitution.
- Students will solve the system algebraically using elimination method.
- Students will analyze their solutions verbally.
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.
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