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Quotient Rule of Exponents Discovery Activity
This is a double-sided worksheet aimed at getting the student to discover the quotient rule of exponents instead of being told what it is. The student needs to know what x to a power means and that anything divided by itself is 1 and can be cancelled out. Then the teacher can show one example and let the students explore each example.
The front contains 6 examples where the student expands the numerator and denominator of each quotient, cancels out like items on the top and the bottom and then rewrites their answer using a base and exponent. I give them time to work each example and think about any patterns that might exist. Hopefully they will see that the answer is just a result of how many bases are left and where they are located. There is a space at the bottom to write in the rule.
There are 6 more examples on the back that can be used as in-class guided practice to give them an opportunity to understand and apply the new rule. Negative exponent rules are not explored here. So, answers will have positive exponents in the denominator because that's where items are left over after canceling out. All questions are written on the left so that they can expand across the page (rather than underneath the question) and cancel items out. Key included.
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