Math
Unit 4
7th Grade
Lesson 3 of 12
Solve equations in the forms $${px+q=r}$$ and $${p(x+q)=r}$$ using tape diagrams.
Anchor Problem #1 is designed like a jigsaw puzzle problem, where groups first work collaboratively on one problem and then mix to form new groups where students share their work from their first group. Each group works on a different scenario of the same common context, using a tape diagram and equation to model the situation and determine a solution (MP.4).
Divide students into five to seven groups, and give each group the introduction and one of the scenarios below.
In each group, students should:
Once all groups are done, mix up the groups so that each group has one student from each scenario. In these new groups, students should:
Introduction:
The Sanchez family just got back from a family vacation. Jon and Ava are summarizing some of the expenses from their family vacation for themselves and their three children, Louie, Missy, and Bonnie:
Car and insurance fees: $400
Airfare and insurance fees: $875
Motel and tax: $400
Baseball game and hats: $103.83
Movies for one day: $75
Soda and pizza: $37.95
Sandals and t-shirts: $120
Scenario 1:
During one rainy day on the vacation, the entire family decided to go watch a matinee movie in the morning and a drive-in movie in the evening. The price for a matinee movie in the morning is different than the cost of a drive-in movie in the evening. The tickets for the matinee movie cost $6 each. How much did each person spend that day on movie tickets if the ticket cost for each family member was the same? What was the cost for a ticket for the drive-in movie in the evening?
Scenario 2:
For dinner one night, the family went to the local pizza parlor. The cost of a soda was $3. If each member of the family had a soda and one slice of pizza, how much did one slice of pizza cost?
Scenario 3:
One night, Jon, Louie, and Bonnie went to see the local baseball team play a game. They each bought a game ticket and a hat that cost $10. How much was each ticket to enter the ballpark?
Scenario 4:
While Jon, Louie, and Bonnie went to see the baseball game, Ava and Missy went shopping. They bought a t-shirt for each member of the family and bought two pairs of sandals that cost $10 a pair. How much was each t-shirt?
Scenario 5:
The family flew in an airplane to the vacation destination. Each person had their own ticket for the plane and also paid $25 in insurance fees per person. What was the cost of one plane ticket?
Scenario 6:
While on vacation, the family rented a car to get them to all the places they wanted to see for 5 days. The car cost a certain amount each day, plus a one-time insurance fee of $50. How much was the daily cost of the car (not including the insurance fees)?
Scenario 7:
The family decided to stay in a motel for 4 nights. The motel charged a nightly fee plus $60 in state taxes. What was the nightly charge with no taxes included?
Summary Chart & Questions:
Cost of 1 evening movie | |
Cost of 1 slice of pizza | |
Cost of admission ticket to baseball game | |
Cost of 1 t-shirt | |
Cost of 1 airplane ticket | |
Daily cost for car rental | |
Nightly charge for motel |
Grade 7 Mathematics > Module 2 > Topic C > Lesson 17 of the New York State Common Core Mathematics Curriculum from EngageNY and Great Minds. © 2015 Great Minds. Licensed by EngageNY of the New York State Education Department under the CC BY-NC-SA 3.0 US license. Accessed Dec. 2, 2016, 5:15 p.m..
Modified by Fishtank Learning, Inc.The cost of a babysitting service is $10 for the first hour and $12 for each additional hour. If the total cost of babysitting baby Aaron was $58, how many hours was Aaron with the babysitter?
Draw a tape diagram and write an equation to represent the situation. Then find the solution.
Grade 7 Mathematics > Module 2 > Topic C > Lesson 17 of the New York State Common Core Mathematics Curriculum from EngageNY and Great Minds. © 2015 Great Minds. Licensed by EngageNY of the New York State Education Department under the CC BY-NC-SA 3.0 US license. Accessed Dec. 2, 2016, 5:15 p.m..
The following resources include problems and activities aligned to the objective of the lesson that can be used to create your own problem set.
Riley takes two walks every day, one in the morning and one in the evening, and walks for a total of $$5\frac{1}{4}$$hours in a 7 day week. If he walks for 15 minutes each morning, how many minutes does he walk for each evening?
Draw a tape diagram and write an equation to represent the situation. Use either model to solve.
Lesson 2
Lesson 4
Topic A: Solving and Modeling with Equations
Topic B: Solving and Modeling with Inequalities