Our Goal

"Understanding Multiplication of Exponents"
To create an instructional sequence (a.k.a. lesson plan) featuring:
- different models to present the concept
- select problems to facilitate student understanding
- explanations to bring about student understanding
- common student misconceptions
- ways to address misconceptions
- connections to real world experiences
- connections among mathematical ideas

Lesson Plan for Junior-High School Exponents

Lesson Plan for Junior-High School Exponents
A concept-map of multiplication of exponents

Friday, February 19, 2010

Understanding Multiplication of Exponents

There are at least three ways of explaining multiplication of exponents. We present these ways (as instances) using the repeated multiplication model. Using this model, we can derive and explain the multiplication law of exponents. 


Instance 1:Area of a 2D shape – SQUARE
Instance 2:Volume of a 3D object – CUBE


But what if the bases of the exponents being multiplied are different?
Instance 3:Different Bases

Instance 3a: Different bases; Bases with a LCF (lowest common factor)
Instance 3b: Different bases; Bases with a LCF (lowest common factor) and a coefficient
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