Math Assignment

Hope everyone's having a wonderful March Break!

Remember your math assignment is due after the break. If you are on vacation/do not have time to work on it during the week, you will have a few days to finish when you get back to school.

Home Solutions: Real Life Measurement Task

Home Solutions, a company that helps people with home improvements projects, has hired us for two jobs. Below, each task is described. Good luck!!

Job 1: Mr. Baker’s Garden

Mr. Baker has purchased 36 m of fencing to use as an outline for the garden he is planning in his back yard. His backyard has a perimeter of 58 m and an area of 180 m squared. Note: the garden is not attached to the house. The problem is he is not quite sure how wide and long to make his garden. You are to investigate this problem and write a letter to Mr. Baker describing his different options for the dimensions of his garden. Your letter should contain both written explanations and diagrams. Make sure it answers the questions below. Note: Mr. Baker does not want decimal numbers in the dimensions of his garden.

To complete this task, follow these steps:

1.              Find all the possible dimensions for Mr. Baker’s garden given the amount of fencing he has. Note: Mr. Baker wants a rectangular garden. Draw a picture to represent each possible solution.

2.              Identify the smallest area that can be created.

3.              Identify the largest area that can be created.

4.              Write a letter to Mr. Baker telling him about the different possible dimensions you found for his garden. In the letter, recommend which set of dimensions you think he should use. Explain to him why you are making this recommendation.

5.              Also, your letter must include pictures to help Mr. Baker see the different possibilities for his garden.

6.              Finally, ask yourself these questions to make sure you completed the task.

·      Did you find all the possible dimensions for his garden?

·      In your work, did you identify the smallest and largest area that can be created? Did you identify this in your letter?

·      Does your letter include pictures to help Mr. Baker?

·      Did you make a recommendation to Mr. Baker?

·      Did you explain to Mr. Baker why you made this recommendation?

Job 2: Confusing Tiles 

Note: You don't need a full poster for this. A regular blank page is enough. Colour not required - focus on the math and communicating the steps. 

 In our final job with Home Solutions, they have brought us a very challenging task.  The Thompsons are putting new tile in their kitchen. They have found a design they really love, but the tiles don’t come in square-meter tiles (1 m by 1 m). They are in 50-cm square tiles (50 cm by 50 cm). Use the information below to solve their problem.  You will be required to create a poster explaining how many tiles they will need, the total cost, and how you solved their problem.

1.              Their kitchen floor is 12 meters long and 21 meters wide.

2.              The tiles they want to buy are 50-cm square tiles and they cost $5.00 each.

To complete this task, follow these steps:

1.              Figure out how many 50-cm square tiles the Thomsons will need to tile their kitchen.

2.              Figure out the total cost of tiling their kitchen.

3.              Create a poster to present to the Thompsons.

4.              The poster must contain both pictures and words to help the Thompsons see how you solved their problem.  Make sure it includes information about the total tiles they will need and the total cost.

5.              Ask yourself these questions, to make sure you have completed the task.

·      Did you figure out how many 50-cm square tiles the Thompsons need for their kitchen?

·      Did you figure out the total cost?

·      Does your poster use both pictures and words to explain to the Thompsons how you solved their problem?

·      Does your poster display your solution?

Mme Aizenstadt