Tiered Problems for a Variety of Middle School ... - WordPress.com
Tiered Problems for a Variety of Middle School ... - WordPress.com
Tiered Problems for a Variety of Middle School ... - WordPress.com
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7 th Grade Unit: Ratios, Proportions, Percents and Probability<br />
Lesson: Proportions<br />
Goals: Students extend their work with ratios to develop an understanding <strong>of</strong><br />
proportionality and they use proportions to solve problems.<br />
Students use proportions to make estimates relating to a population on the basis <strong>of</strong> a<br />
sample.<br />
Green level problems:<br />
1. The distance traveled by a bus at a constant speed is directly proportional to the<br />
length <strong>of</strong> time it travels. If a bus travels 320 km in 4 h, how far will it travel in 9h?<br />
2. Of 75 pairs <strong>of</strong> jeans, 7 have flaws. Estimate how many <strong>of</strong> 24,000 pairs <strong>of</strong> jeans are<br />
flawed.<br />
Blue Level <strong>Problems</strong>:<br />
3. A 12-foot board is cut into three pieces whose<br />
lengths are in the ratio 3:1:2. How many inches are in<br />
the length <strong>of</strong> the shortest piece?<br />
4. Solve the following proportion <strong>for</strong> x:<br />
3x -2 =<br />
x + 4 _____<br />
4 2<br />
Black Level <strong>Problems</strong>:<br />
5. A wheel rotates once a second. Object two (O) is twice the distance from the center<br />
<strong>of</strong> the wheel as object one (O 1 ). How fast is O moving in <strong>com</strong>parison to O 1 ?<br />
6. Three miners can load 350 pounds <strong>of</strong> coal in 15 minutes. How many minutes would it take two<br />
miners to load 700 pounds <strong>of</strong> coal?<br />
9
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