1. Using a Model Determine How Many Pies the Club Made

Standard 7.EE.4a

Goal: Students will be able to construct two-step equations with one variable from real world problems and solve, with a partner and individually.

Development Task: Cooking Club

The Cooking Club made some pies to sell at a basketball game to raise money for the new math books. The cafeteria contributed four pies to the sale. Each pie was then cut into five pieces and sold. There were a total of 60 pieces to sell.

1. Using a model determine how many pies the club made.

2. Write a mathematical sentence explaining how to solve the problem above.

3. How are the model you created and your mathematical sentence alike?

Anticipation: Students may use a variety of models to represent the situation including charts, pictures, graphs (note: Linear graphs are not actually in the 7th grade core) grids, and written explanations. Also be aware of the possible misconceptions that the students may take such as: adding 20 to 60 pieces instead of subtracting, correctly converting whole pies to individual pieces or the other way around, failing to read or listen to the problem completely, and clearly stating their answers to question #2. Students may possible only find the total number of pies instead of how much the club made. Students who finish the task early can further be prompted to consider the case where each pie is cut into 6 pieces instead of five, or come up with new ways of presenting the situation and compare their answers. Solidify Task: Field Trip

For a field trip 4 students rode in cars and the rest filled nine buses. How many students were in each bus if 472 students were on the trip?

Anticipation:

Students may want to solve the problem without setting up an equation. Be sure that students don’t mix up the number of cars verses buses. Also, continue to connect the constants and variables in the equation with the meaning that they have in the context of the problem. Practice Tasks (These were taken from Kuta Software):

1) 331 students went on a field trip. Six buses were filled and 7 students traveled in cars. How many students were in each bus?

2) Aliyah had $24 to spend on seven pencils. After buying them she had $10. How much did each pencil cost?

3) The sum of three consecutive numbers is 72. What are the smallest of these numbers?

4) The sum of three consecutive even numbers is 48. What are the smallest of these numbers?

5) You bought a magazine for $5 and four erasers. You spent a total of $25. How much did each eraser cost?

6) Maria bought seven boxes. A week later half of all her boxes were destroyed in a fire. There are now only 22 boxes left. With how many did she start?

7) Sumalee won 40 super bouncy balls playing horseshoes at her school's game night. Later, she gave two to each of her friends. She only has 8 remaining. How many friends does she have?

8) Imani spent half of her weekly allowance playing mini-golf. To earn more money her parents let her wash the car for $4. What is her weekly allowance if she ended with $12?

Anticipation: Be sure that students are able to represent each situation with an equation and follow the correct procedure to solve their equations.