Unit 3, Lesson 13
Benchmark Percentages
Grade 6
13.1
Warm-up
Which Three Go Together: Shaded Diagram
Which three go together? Why do they go together?
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Which three go together? Why do they go together?
Calculate each value mentally. Be prepared to explain your reasoning.
Han and Clare go shopping, and they each have a coupon.
Han buys an item with a normal price of $15, and uses a 10% off coupon. How much does he save by using the coupon? Show your reasoning.
Clare buys an item with a normal price of $24, but saves $6 by using a coupon. For what percentage off is this coupon? Show your reasoning.
Certain percentages are easy to think about in terms of fractions.
A double number line with 5 evenly spaced tick marks. The tick marks on the top number line are labeled 0, one fourth of x, one half of x, three fourths of x, and x. The tick marks on the bottom number line are labeled 0 percent, 25 percent, 50 percent, 75 percent, and 100 percent.
We can also find multiples of 10% using tenths. For example, 70% of a number is always
A double number line with 11 evenly spaced tick marks. For the top number line the number 0 is on the first tick mark, one tenth of x on the second, seven tenths of x on the eighth, and x on the eleventh. The remaining tick marks are blank. On the bottom number line starting from the first tick mark, zero percent, 10 percent, 20 percent, 30 percent, 40 percent, 50 percent, 60 percent, 70 percent, 80 percent, 90 percent, and 100 percent are labeled.
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