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3. Lesson 7.2.1 – Teacher Notes Standard:
7.RP.A.3 Use proportional relationships to solve multistep ratio and percent problems. Examples: simple interest, tax, markups and markdowns, gratuities and commissions, fees, percent increase and decrease, percent error.
Full mastery can be expected by the end of the chapter.
Lesson Focus:
The focus of the lesson is to write and solve proportions. Problem from the next lesson should be added to this lesson. (7-98)
I can solve multi-step ratio and percent problems to calculate tax, markups and markdowns, gratuities, commissions, fees, percent increase and decrease and percent error.
Calculator: Yes
Literacy/Teaching Strategy: Red-Light-Green-Light (7-97 and 7-98)

4. Throughout this course, you have made connections between different representations of proportional relationships.  In this lesson, all of these ideas will come together to uncover a new strategy for finding missing quantities in proportional relationships.

5. 18.45 km 8 ft YOU TRY #1 GUIDED PRACTICE #1
A designer has made a scale drawing of a living room for one of her clients. The scale of the drawing is 1 inch = feet. On the drawing, the sofa is 6 inches long. What is the actual length of the sofa?
YOU TRY #1
On a map of Florida, the distance between Coral Springs and Fort Lauderdale is about 4.1 centimeters. The scale on the map is 1 centimeter = 4.5 kilometers. What is the actual distance?
18.45 km
8 ft

6. 33.3% 18.75% GUIDED PRACTICE #2 YOU TRY #2
Marlina thinks the cost to rent scooters was $100. The actual price is $150. What Marlina’s percent error?
YOU TRY #2
Jillian calculates that she will take 95 minutes to run 7 miles. She runs the distance in 80 minutes. What is Jillian’s percent error?
33.3%
18.75%

7. $42 $105 GUIDED PRACTICE #3 YOU TRY #3
Games Galore Super Store buys the latest video game at a wholesale price of $ The markup rate at Game’s Galore Super Store is 40%. You use your allowance to purchase the game at the store. How much will you pay?
YOU TRY #3
A computer store used a markup rate of 40%. Find the selling price of a computer game that cost the retailer $75.
$42
$105

8. $45,147.12 $13,388.81 GUIDED PRACTICE #4 YOU TRY #4
Sabra sold three houses this month for a total sale of $694,571.If she makes 6.5% commission. What will be her salary for the month?
YOU TRY #4
Dennis sales cars for Honda Wolf Chase. He makes a monthly salary of $450 and 4.5% commission on any car sales made each month. His sales for the month of January was $287,529. What was his total salary?
$45,147.12
$13,388.81

9. 16m 4 ft. GUIDED PRACTICE #5 YOU TRY #5
A telephone booth that is 8 feet tall casts a shadow that is 4 feet long. Find the height of a lawn ornament that casts a 2 foot shadow.
YOU TRY #5
A model house is 12 centimeters wide. If it was built with a scale of 3cm : 4m, then how wide is the real house?
16m
4 ft.

10. 130 mi. 4ft/1 in. GUIDED PRACTICE #6 YOU TRY #6
On a map of North Carolina the distance between Raleigh and Charlotte is inches. The scale on the map is 1 inch = 40 miles. What is the actual distance?
YOU TRY #6
Marta is making a scale drawing of her apartment for a school project. The apartment is 28 feet wide. On her drawing, the apartment is 7 inches wide. What is the scale of Marta’s drawing?
130 mi.
4ft/1 in.

11. GUIDED PRACTICE #7
Sonya expected to get $60 for her birthday, but she only got $40. What was the percent error?
YOU TRY #7
Jamal needs to purchase a countertop for his kitchen. Jamal measured the countertop as 5 feet. The actual measurement is 4.3 feet. What is Jamal’s percent of error?
50%
16.3%

12. $243.75 $102 GUIDED PRACTICE #8 YOU TRY #8
Gap is going out of business. They are having a great sale. You can get 35% off of your total purchase. If your total purchase was $375, how much would you pay?
YOU TRY #8
Under Armour is having a 15% off sale. If you want a pair of Steph Curry’s. If they are regularly priced at $120. How much would you actually pay for the shoes?
$243.75
$102

13. GUIDED PRACTICE #9
Laura bought a dress that originally cost $74.56 and a pair of shoes for $ at Dillard’s. She had a 25% coupon she used. How much did she pay of her outfit on sale?
YOU TRY #9
Melinda purchased a Sharp Sound Bar or $ She was able to use her 20% coupon. What was the sale price for the sound bar? What was the total price for the sound bar?
$99.79
$1,519.20

14. 10 ft. 36.6 ft. GUIDED PRACTICE #10 YOU TRY #10
A statue that is 12 feet tall cast a shadow that is 15 feet long. Find the length of the shadow that an 8 foot cardboard box casts.
YOU TRY #10
If a 42.9 foot tall flagpole casts a foot long shadow, then how long is the shadow that a 6.2 foot tall woman casts?
10 ft.
36.6 ft.

15. 2.25 m 22.4 cm GUIDED PRACTICE #11 YOU TRY #11
Yoshi made a scale drawing of his yard. The scale of the drawing is 1 centimeter = 0.5 meter. The length of the patio is 4.5 centimeters in the drawing. Find the actual length.
YOU TRY #11
Yoshi made a scale drawing of his yard. The scale of the drawing is 1 centimeter = 0.5 meter. The actual distance between the water faucet and the pear tree is 11.2 meters. Find the corresponding distance on the drawing.
2.25 m
22.4 cm

16. 1.7% 7.4% GUIDED PRACTICE #12 YOU TRY #12
A person attempting to lose weight on a diet weighed 175 lb. on a bathroom scale at home. An hour later at the doctor’s office, on a more accurate scale, this person’s weight is recorded as 178 lb. Assuming that there was no real weight change in that hour, what is the percent error for these reading?
YOU TRY #12
As the result of experimental work, a student finds the density of a liquid to be g/cm3. The known density of that liquid is g/cm3. What is the percent error of this student’s work?
1.7%
7.4%

17. GUIDED PRACTICE #13
A golf store purchases a set of clubs at a wholesale price of $250. Mr. Edmond learned that the clubs were marked up 200%. What is the retail price of the clubs?
YOU TRY #13
Nike marks up their shoes 75% above the cost to manufacture it. If it costs $85 to manufacture the new LeBron’s, how much would the shoes cost in Footlocker?
$750
$148.75

18. GUIDED PRACTICE #14
Doug purchased a 70-inch Samsung Smart TV that was regularly sold for $2, with 7.5% sales tax. How much did he pay for his new TV?
YOU TRY #14
Judy purchased an instant pot cooker for $ She purchased from Kohls and had a 30% coupon. What will she pay for the instant pot after the discount? What will be the total price be with 7% sales tax?
$83.89
$2,472.49

19. GUIDED PRACTICE #15
A 6.5 foot tall car standing next to an adult elephant casts a 33.2 foot shadow. If the adult elephant casts a shadow that is 51.5 feet long, then how tall is it.
YOU TRY #15
A statue, honoring Kobe Bryant, can be found in Los Angeles near the Staples Center. Use the information below to determine the unknow height of the statue.
10.1 ft. 3m

20. 627u 360u 320u 132u 220u CHALLENGE YOU #1 CHALLENGE #1
∆EFG and ∆QRS are similar. The length of the sides of EFG are 144, 128, and The length of the smallest side of QRS is 280, what is the length of the longest side of QRS?
CHALLENGE #1
∆IJK and ∆TUV are similar. The length of the sides of IJK are 40, 50, and 24. The length of the longest side of TUV is 275, what is the perimeter of TUV?
627u
360u
320u
132u
220u

21. Independent Practice