Place Value, Fractions, and Algebra: Improving Content Learning through the Practice Standards

Appendix D

Simple and Complex Word Problem Scenarios for Formative Assessment Lesson

Simple (label all solutions using the proper units)

- Chantal runs 3 miles around her neighborhood each day. She runs 5 days a week (Monday through Friday). Create a table of values to show the number of miles Chantal will have run at the end of 5 days. If Chantal continues this pattern, how many days will it take for Chantal to run 45 miles?

- Ricardo went for a run last week and completed 24 miles. This week he will begin track practice and has to run 1 mile each track practice as a warm up exercise. Create a table of values to show the number of miles Ricardo will have completed after 5 days of track practice. If Ricardo continues this pattern, how many miles will he have completed after 10 days of track practice?

- Arnette has just started learning how to play the piano. Over the summer she learned to play 4 songs. Then she enrolled in a piano lesson class and is required to learn how to play one more new song every week. Create a table of values to show the number of songs Arnette will know how to play after 6 weeks. If Arnette continues this pattern, how many songs will she be able to play after 15 weeks?

- Dana is studying to be a female body builder and is required to eat meals each day containing 340 calories per meal. Create a table of values showing how many calories Dana will have consumed from meals after 5 days. If Dana continues this pattern, how many calories will she have consumed after 28 days?

- Dena is writing a research paper for her summer English class and has just completed writing 4 pages. She needs to finish her paper before she goes on vacation with her family. Dena has discovered she is able to write 2 pages every hour. Create a table of values showing how many pages Dena will have completed after 8 hours. If Dena continues this pattern, how many hours will it take for Dena to complete her research paper that needs to be 16 pages?

- Mr. Barrientez gives his physics students 2 quizzes every week. He has to be sure he grades all the quizzes and returns them to his students to place in their class binder. Create a table of values showing how many quizzes Mr. Barrientez gives his students after 6 weeks. If Mr. Barrientez continues this pattern, how many quizzes will he have given his students at the end of 15 weeks?

Complex Word Problem Scenarios

- Maura and Eric belong to different CrossFit gyms. Maura pays $25 per month and a one-time registration fee of $55. Eric pays only $15 per month but had to pay an $85 registration fee. After how many months will Maura and Eric have spent the same amount on their gym memberships? How much more will Maura pay than Eric when they both have belonged for 1 year?

- Trey and Kai are playing video games at the arcade in Eastridge mall. Trey has $20 and is playing a motorcycle racing game that costs 50 cents per game. Kai arrived at the arcade with $22 and is playing Mario Kart that costs 75 cents per game. (a) Create two linear equations (one for Trey and another for Kai) that gives the amount of money each boy has left in relationship to the number of games they have played. Let the number of games played = g. (b) After how many games will the two boys have the same amount of money left? (c) How much money do they have at this point?

- Makaela took a trip to London and Paris as part of a school field trip. While in Paris, Makaela went to a souvenir store to purchase Eiffel Tower key chains for everyone who helped make her trip possible and memorable. Each keychain costs $2 and she also purchased a souvenir t-shirt for herself that cost $17. Create a table of values showing how much Makaela spent in the souvenir store after purchasing key chains for family members, starting with her brother, 3 cousins, grandmother and mother. If Makaela continues this spending pattern, how much money will Makaela have spent if she needs to buy 30 Eiffel Tower key chains?

- A paddle boat rental service at Lake Cunningham Park charges a $20 transportation fee and $15 dollars an hour to rent a paddle boat. Write and graph an equation representing the cost, y, of renting a paddle boat for x hours. What is the cost of renting the paddle boat for 6 hours?

- The water tank at Branden's house already contains 55 gallons of water. Since there are 5 family members living in Branden's house, the family will need more water in the tank. Branden begins to fill the tank with more water that flows at a rate of 8 gallons per minute. Write a linear equation to model this situation. Find the gallons of water in the tank 25 minutes after Branden begins filling the tank.

- Ms. Gammons has a small business making dessert baskets. She estimates that her fixed weekly cost for rent and electricity are $200. The ingredients for one dessert basket cost $4.50. If Ms. Gammons made 40 baskets this past week, what was her total weekly cost? How many dessert baskets did she make if her total cost was $564.50?