Graphing Ratios / HW #9.1
Tuesday 1/6 / Lesson 9.2
Recognizing Proportional Relationships / HW #9.2
Wednesday 1/7 / Lesson 9.3
Constant of Proportionality / HW #9.3
Thursday 1/8 / Lesson 9.4
Proportional Relationships & Equations / HW #9.4
Friday 1/9 / Lesson 9.5
Maps & Scale Drawings / HW # 9.5
Monday 1/12 / Lesson 9.6
Problem Solving / No HW
Tuesday 1/13 / Review / HW: # 9.7
Wednesday 1/14 / Test Unit 9Proportions
Review section on Expressions
#9.1 Homework Practice
Graphing Ratios
- When it is running smoothly, the assembly process can put together 7 mechanical dinosaurs every 4 minutes. Which table shows how many dinosaurs the process assembles for the given number of minutes?
- To make a flag a certain number of yards of fabric are needed. The graph shows the ratio of yards of fabric needed to number of flags made. Make a table of ratios from the graph.
- For a fundraiser, a student club sells 6 poster for $3. How many posters does the club need to sell in order to get $8? Use the graph to help you solve the problem.
The club needs to sell ______posters.
#9.2 Homework Practice
Recognizing Ratios
- You prepare 10 scoops of dog food for 4 dogs, and prepare 16 scoops of dog food for 8 dogs. Is there a proportional relationship between the number of scoops and the number of dogs?
SHOW WORK to justify your answer
- Which table shows a relationship that is proportional?
- For what value of x do the two ratios suggest a proportional relationship.
- 13
- 169
- 39
- 117
- For the graph below, tell if the number of seconds and the number of feet run have a proportional relationship.
#9.3 Homework Practice
Constant of Proportionality
- You are making a new recipe for dinner. The recipe has the following proportional relationship.
36 cups of asparagus for 9 cups of sauce
Find the constant of proportionality. Then, find how many cups of asparagus you would need for 7 cups of sauce.
The constant of proportionality is ______cups of asparagus per cup of sauce.
You need _____ cups of asparagus for 7 cups of sauce.
- A recipe requires 3 cups of flour to make 15 servings and 7 cups of flour to make 35 servings. How many cups of flour are needed to make 20 servings?
- 5 cups
- 8 cups
- 7 cups
- 4 cups
- Find the constant of proportionality for the proportional relationship between weight and cost shown in the table.
The constant of proportionality is $______per ounce.
- Does the table show a proportional relationship? If so, what is the constant of proportionality of y to x? Show work to justify your answer.
- The table shows a proportional relationship.
- The table does not show a proportional relationship.
- The graph shows a proportional relationship for part of your trip to an event. What is the constant of proportionality?
#9.4 Homework Practice
Proportional Relationships and Equations
- The equation below describes a proportional relationship between x and y. What is the constant of proportionality?
The constant of proportionality is _____.
- The equation represents the perimeter, P, of a square with a side length s. What is the perimeter of a square with side length 5 cm?
- An arts and crafts store sells sheets of stickers. Use the table to write an equation you can use to find the total cost y in dollars for x sheets of stickers.
You can use the equation y = ______to find the total cost y in dollars for x sheets of stickers.
- Solve the proportion.
#9.5 Homework Practice
Maps and Scale Drawings
- On a floor plan, 1 in. represents 4 ft. According to the map, what are the real dimensions of the kitchen?
- Using the diagram, what is the actual length of the truck.
The actual length of the truck is _____ feet.
- A portion of a map with cities A and B is shown. The map uses the scale 1 inch = 30 miles. You are making a map with a scale of 2 inches = 15 miles. How far apart are the cities A and B on your map?
On your map, cities A and B are ____ inches apart.
- Flooring. How many square feet of flooring is needed to cover the entire living room floor.
- On a map, 2 inches equals 120 miles. The distance the family travels is 2.5 inches on the map. Represent this scale as two different ratios.
#9.7 Homework Practice
Review
- The table shows a proportional relationship between x and y. Complete the table.
Yes, it’s proportional/ No it’s not proportional (Explain why) ______
______
- A baker likes to make cookies. The graph shows a proportional relationship between cups of flour used and number of cookies made. What does the point (0,0) represent?
Select all that apply.
- The baker makes 0 cookies with 0 cups of flour.
- The baker needs 0 cups of flour to make 0 cookies.
- The unit rate is 0 cookies per cup of flour.
- The unit rate is 0 cups of flour per cookie.
- Does the graph show a proportional relationship between x and y?
______
______
______
______
______
- The weight of 6 eggs is shown. Identify the constant of proportionality of total weight to number of eggs.