Lesson 1: Practice Problems

Problem 1

Which one of these shapes is not like the others? Explain what makes it different by representing each width and height pair with a ratio.

Rectangular grid with 3 circular shapes labeled A, B, and C. Shape A has width 5 units and height 4 units. Shape B has width 10 units and height 8 units. Shape C has width 10 units and height 6 units.

Problem 2

In one version of a trail mix, there are 3 cups of peanuts mixed with 2 cups of raisins. In another version of trail mix, there are 4.5 cups of peanuts mixed with 3 cups of raisins. Are the ratios equivalent for the two mixes? Explain your reasoning.

Problem 3 From Unit 1 Lesson 12

For each object, choose an appropriate scale for a drawing that fits on a regular sheet of paper. Not all of the scales on the list will be used.

Objects

  1. A person

  2. A football field (120 yards by 53 yards)

  3. The state of Washington (about 240 miles by 360 miles)

  4. The floor plan of a house

  5. A rectangular farm (6 miles by 2 miles)

Scales

  1. 1 in : 1 ft

  2. 1 cm : 1 m

  3. 1 : 1,000

  4. 1 ft : 1 mile

  5. 1 : 100,000

  6. 1 mm : 1 km

  7. 1 : 10,000,000

Problem 4 From Unit 1 Lesson 11

Which scale is equivalent to 1 cm to 1 km?

  1. 1 to 1,000

  2. 10,000 to 1

  3. 1 to 100,000

  4. 100,000 to 1

  5. 1 to 1,000,000

Problem 5 From Unit 2 Lesson 5

  1. Find 3 different ratios that are equivalent to .

  2. Explain why these ratios are equivalent.