Module 1: Proportional Relationships (7th)

The table shows some of the worlds fastest animals. Order them from least (left) to greatest (right) in miles per hour.

• Elk

• Brown Hare

• Blue Wildebeest

• Cheetah

Groups:

(a) Equivalent

,

(b) NOT equivalent

• 96 sq. feet in 2 hours

• 10 miles per hour

• 1.17 miles per hour

• 28.7 miles per hour

• 17.5 miles per hour

A cinnamon toast recipe calls for 6 parts sugar to 1 part cinnamon. Sort the ingredients into the correct bins, to show wether it is proportional to the recipe.

Groups:

(a) Proportional

,

(b) NOT Proportional

• 15 tsp sugar to 3 tsp cinnamon

• 9 tsp sugar to 1.5 tsp cinnamon

• 12 tsp sugar to 2 tsp cinnamon

• 4.5 tsp sugar to 0.75 tsp cinnamon

Marcus and his family are planning a vacation that involves horseback riding. Horseshoe Ranch charges a $12.95 ranch entrance fee plus $14.95 per hour to rent horses.

What is the total cost for hours 1, 2, 3, and 4? (in order)

• $14.95, $27.90, $40.85, $53.80

• $14.95, $16.95, $18.95, $20.95

• $27.90, $40.85, $53.80, $66.75

• $27.90, $42.85, $57.80, $72.75

Marcus and his family are planning a vacation that involves horseback riding. Horseshoe Ranch charges a $12.95 ranch entrance fee plus $14.95 per hour to rent horses.

Is the total price proportional or not proportional to the hours spent horseback riding?

• Proportional

• Not Proportional

Determine if the quantities in the two table is proportional, and explain.

• Yes, because they have a common ratio.

• Yes, because the number go up the same.

• No, because they don't have a common ratio.

• No, because they go up the same.

​ Does the situation represent a proportional relationship.

Groups:

(a) YES

,

(b) NO

• A student earns $12 each hour tutoring

• A small pizza is $9 and every extra topping is $0.75

• A health club charges $45 per month

• A bike company charges a $20 flat fee, and then $5 per hour of rental

• A car travels 60 miles in 1 hour, 120 mi in 2 hr, 180 mi in 3 hrs.

The table shows the prices of Jet Ski Rentals for two different companies for 0, 1, 2, and 3 hours.

Which is proportional?

• Water Fun

• Super Ski

• BOTH, Water Fun & Super Ski

• Neither Company

Eliott is designing his garden. For every red rose, he plans to plant three blue delphiniums.

Using only these two types of flowers, he plans to plant 16 flowers in his garden. How many of each?

• 1 Rose

  3 Delphiniums

• 8 Rose

  8 Delphiniums

• 4 Rose

  12 Delphiniums

• 7 Rose

  9 Delphiniums