Let’s Do Some Math!
1. Sale Prices
Max bought 2 items that were on sale.
- One item was 10% off.
- One item was 20% off.
Max says he saved 15% altogether.
a. Could Max be right?
b. Could Max be wrong?
Explain your reasoning.
2. A tennis tournament has 64 players entered in the men’s singles draw. The tennis
players will be competing in a single-elimination format so that the champion will be
the only player who did not lose a match. How many total matches will be played in
this tournament to determine the champion?
3. Pick any integer greater than 10: __________
a. Square the number you picked: __________
b. Find the product of the integer that is one more than your original number and the
integer that is one less than your original number: ___________
c. Compare your result in part a to your result in part b. What do you notice?
d. Repeat steps a – c three or four times, using a different positive integer as your
starting number each time.
e. Create an algebraic equation to represent what you see happening, but for ANY
starting number.
f. Turn to someone sitting near you and explain as clearly as you can what your
equation represents.
4. A bird flew 20 miles in 100 minutes at a constant speed. At that speed:
(a) How long would it take the bird to fly 6 miles? Explain your reasoning.
(b) How far would the bird fly in 15 minutes? Explain your reasoning.
(c) How fast is the bird flying in miles per hour?
(d) What is the bird’s pace in minutes per mile?
(e) Explain the meaning of the answers for parts c and d.
5. “Give me 8 sheep and then we will have an equal number,” said one shepherd to
another. “No, you give me 8 sheep and then I will have twice as many as you,”
replied the other shepherd. How many sheep did each shepherd have to start with?