Question of the Day: How do you solve a problem like (2^3) to the second power?
Regular Math Objective: Solve or simplify exponential expressions
Regular Math Standards: 8.SP.1 Know and apply the properties of integer exponents to generate equivalent numerical expressions.
Regular Math Lesson Sequence: It was a little mixed throughout the day, but overall the most effective way that the material was presented was in this order.
- Students get mini whiteboards and work on the problem that was the Question of the Day
- We continue to do problems such as 8m to the fourth power over 2m to the third power and 6a x 4a
- Exit Ticket
- Pass out the homework
I gave this problem throughout the day and I never once had a student write 12 times a squared. It was mostly the answer that is pictured up above.
The good news was that many students were able to divide exponents by rewriting it in expanded form. I'm not even going to tell them that they can subtract the exponents. If they discover it on their own that's fine. I think by doing it this way, they are getting the why behind the math.
Honors Math Objective: Analyze when and why an inequality sign gets flipped
Honors Math Standards: A1.A-CED A1 Create equations and inequalities in one variable and use them to solve problems. (Include equations arising from linear, quadratic, and exponential functions with integer exponents.
Honors Math Lesson Sequence:
- Give students practice to see how signs change in different situations (adding to both sides, subtracting to both sides, multiplying, dividing, multiplying by a negative, and dividing by a negative).
- QSSQ
- Explore with Big Ideas workbooks
- Exit ticket asking students when and why the inequality symbols change places
- Pass out the homework
Unlike the exponent rule, I will by reminding students to flip the sign in the coming days without saying why. The exit ticket to me is a clear indication that students understand why, so we can simply put that in our memory.
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