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.
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
A person
A football field (120 yards by 53
yards) The state of Washington (about 240 miles by 360 miles)
The floor plan of a house
A rectangular farm (6 miles by 2 miles)
Scales
1 in : 1 ft
1 cm : 1 m
1 : 1,000
1 ft : 1 mile
1 : 100,000
1 mm : 1 km
1 : 10,000,000
Problem 4 From Unit 1 Lesson 11
Which scale is equivalent to 1 cm to 1 km?
1 to 1,000
10,000 to 1
1 to 100,000
100,000 to 1
1 to 1,000,000
Problem 5 From Unit 2 Lesson 5
Find 3 different ratios that are equivalent to
. Explain why these ratios are equivalent.