The cost of a pair of roller skates is 20% of the cost of the scooter. How much do the roller skates cost?
A bicycle costs 20% more than the scooter. How much does the bicycle cost?
A skateboard costs 25% less than the bicycle. How much does the skateboard cost?
14.2
Activity
Standards Alignment
Building On
7.EE.3
Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals), using tools strategically. Apply properties of operations to calculate with numbers in any form; convert between forms as appropriate; and assess the reasonableness of answers using mental computation and estimation strategies. For example: If a woman making $25 an hour gets a 10% raise, she will make an additional 1/10 of her salary an hour, or $2.50, for a new salary of $27.50. If you want to place a towel bar 9 3/4 inches long in the center of a door that is 27 1/2 inches wide, you will need to place the bar about 9 inches from each edge; this estimate can be used as a check on the exact computation.
You need to pay 8% tax on a car that costs \$12,000. What will you end up paying in total? Show your reasoning.
Burritos are on sale for 30% off. Your favorite burrito normally costs \$8.50. How much does it cost now? Show your reasoning.
A pair of shoes that originally cost \$79 are on sale for 35% off. Does the expression represent the sale price of the shoes (in dollars)? Explain your reasoning.
14.3
Activity
Standards Alignment
Building On
7.EE.3
Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals), using tools strategically. Apply properties of operations to calculate with numbers in any form; convert between forms as appropriate; and assess the reasonableness of answers using mental computation and estimation strategies. For example: If a woman making $25 an hour gets a 10% raise, she will make an additional 1/10 of her salary an hour, or $2.50, for a new salary of $27.50. If you want to place a towel bar 9 3/4 inches long in the center of a door that is 27 1/2 inches wide, you will need to place the bar about 9 inches from each edge; this estimate can be used as a check on the exact computation.
Complete the table so that each row has a description and two different expressions that answer the question asked in the description. The second expression should use only multiplication. Be prepared to explain how the two expressions are equivalent.
description and question
expression 1
expression 2 (using only multiplication)
A one-night stay at a hotel in Anaheim, CA, costs $160. Hotel room occupancy tax is 15%. What is the total cost of a one-night stay?
Teachers receive a 30% educators' discount at a museum. An adult ticket costs \$24. How much would a teacher pay for admission into the museum?
The population of a city was 842,000 ten years ago. The city now has 2% more people than it had then. What is the population of the city now?
After a major hurricane, 46% of the 90,500 households on an island lost their access to electricity. How many households still have electricity?
Two years ago, the number of students in a school was 150. Last year, the student population increased 8%. This year, it increased about 8% again. What is the number of students this year?
Student Lesson Summary
We can write different expressions to calculate percent increase and decrease.
Suppose a new phone costs \$360 and is on sale at 25% off the regular price. One way to calculate this is to first find 25% of 360, which is 90, and then subtract \$90 from \$360 to get the sale price of \$270. These calculations can be recorded in this way:
Another way to represent this calculation is to notice that subtracting 25% of the cost is equivalent to finding 75% of the cost. Using the distributive property, we know that can be rewritten as , which is equal to .
None
Standards Alignment
Building On
7.EE.3
Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals), using tools strategically. Apply properties of operations to calculate with numbers in any form; convert between forms as appropriate; and assess the reasonableness of answers using mental computation and estimation strategies. For example: If a woman making $25 an hour gets a 10% raise, she will make an additional 1/10 of her salary an hour, or $2.50, for a new salary of $27.50. If you want to place a towel bar 9 3/4 inches long in the center of a door that is 27 1/2 inches wide, you will need to place the bar about 9 inches from each edge; this estimate can be used as a check on the exact computation.
Construct linear and exponential functions, including arithmetic and geometric sequences, given a graph, a description of a relationship, or two input-output pairs (include reading these from a table).
Construct linear and exponential functions, including arithmetic and geometric sequences, given a graph, a description of a relationship, or two input-output pairs (include reading these from a table).