195 / 216
191
Copyright © 3P Learning – These resources have been created in partnership with Dr. Marian Small.
For more information visit
www.mathletics.comQuestions to facilitate the learning
•
Which number, A or B, has to be greater? Why?
•
Could either number be the double of the other? Why or why not?
•
How could thinking about using decimals to calculate a percent help you figure out one answer?
•
How can you easily get another pair of numbers once you have a pair that works?
Scaffolding the learning
•
How can you figure out 30% of a number?
•
What percent of Number B is 15% of Number A? Why?
•
What percent of Number A is 10% of Number B? Why?
What’s the point of this task?
Rather than asking a student to simply calculate a percent, this problem is built on relationships. For
example, we could have asked: If A is 50% of B, what percent of B is
1
2
A? Instead, this problem is just
slightly more complex.
Some students can solve the problem by just trying lots of numbers and looking for possibilities. For
example, they might notice that 30% of 40 is the same as 40% of 30 or they might notice that 30%
of 100 is the same as 40% of 75.
Extending the learning
Suppose 60% of Number A is the same as 50% of Number B. How are A and B related?
Original Prices
Number