Draw a Diagram Practice

Warm Up Estimate the Sum or Difference 1) 3 1/12 + 2 3/4 2) 15 1/5 - 5 3/10 3) 1 1/3 + 9 7/12 4) 5 1/8 - 2 4/5 5) 7 1/6 + 12 1/5 6) 18/7/8 - 17 5/15

1) 3 1/12 + 2 3/4 3 + 3 = 6 2) 15 1/5 - 5 3/10 15 - 5 = 10 3) 1 1/3 + 9 7/12 1 + 10 = 11 4) 5 1/8 - 2 4/5 5 - 3 = 2 5) 7 1/6 + 12 1/5 7 + 12 = 19 6) 18/7/8 - 17 5/15 19 - 17 = 2

How can drawing a diagram help you solve a problem?

It can help you because you can visually see what you're doing and it helps you to figure it out or learn it faster. some people think it's easy when they first hear it but not everyone can pick up on how to do it so drawing something out is a good way to learn what you're doing faster. The way I remember is by rewriting the problem to get the way to solve it in my head.

Jessie works at the local sandwich shop. There are 4 different kinds of bread and 6 different kinds of meat to choose from. How many different sandwiches could be made using one kind of bread and two different kinds of meat? Draw a diagram to help you answer the problem.

a. 120

You want a plant at each corner and every 2 feet along the boarder of a square patio. The patio is 12 feet long. How many plants do you need? a. 24 plants b. 28 plants c. 20 plants d. 21 plants

a. 24 plants

What is the median number of three-point shots made for games 1-5? Use the table. Game Three-Point Shot ----------------------------- 1 7 2 5 3 9 4 4 5 6 a. 6 b. 9 c. 31 d. 5

a. 6

Solve the equation using mental math. q - 5 5/7 = 6 6/7 a. 6 5/7 b. 12 4/7 c. 1 1/6 d. 1 1/7

b. 12 4/7

Each side of a square game board measure 16 inches. A 2-inch square is cut from each corner of the board. What is the perimeter of the game board? Draw a diagram to help you solve the problem. a. 16 in b. 64 in^2 c. 32 in^2 d. 64 in

d. 64 in

All city blocks in Sunnydale are the same size. Tina starts her paper route at the corner of two streets. She travels 8 blocks south, 13 blocks west, 8 blocks north, and 6 blocks east. How far is she from her starting point when she finishes her route? Draw a diagram to help you answer the problem. a. 13 b. 6 c. 35 d. 7

d. 7

Mr. Alan's family room is a rectangle that measures 5 meters by 4 meters. In the room is a fireplace that extends out from the wall 0.5 meter and measures 1 meter across. Mr alan wants to cover the floor with carpet that costs $12 per square meter. How much will the carpet cost?

$234

Draw a Diagram A volleyball tournament will be held on a soccer field that is 110 yards long and 80 yards wide. The game area for each volleyball court allows space for the court and a safety zone around it. Each game area is 25 yards long by 15 yards wide. How many game areas will fit on the field?

1. Read and Understand: The field is 110 yards by 80 yards. Each game area is 25 yards by 15 yards. You are asked to find how many game areas will fit on the field. 2. Plan and Solve: First draw a diagram of the field. Then show how many game areas that are 25 yards by 15 yards fit on the field.

What is the next number in the pattern 6 1/5, 10 19/20, 15 7/10? Explain how you found your answer.

20 9/20. Each mixed number is 4 3/4 greater than the previous mixed number.

Elizabeth walks 8 miles for a charity event. She walks half the distance during the first two hours and a fourth of the remaining distance during the next half hour. How far does she have to go to complete the walk?

3 more miles

There are 20 people in Susie's class. When susie took a poll about winter sports, she found that nine people enjoy figure skating, six people enjoy skiing, one person plays hockey, and four people simply do not enjoy cold weather. In addition, she found out that three of those people who enjoy figure skating also enjoy skiing. Draw a diagram to figure out how many people enjoy figure skating but not skiing.

6 people only like figure skating

You have 24 feet of fencing for a rectangular dog pen. Each side must be a whole number of feet. List all of the possible dimensions for the dog pen. Which dimensions give you the most area?

8x4 (32) 2x10 (20) 11x1 (11) 7x5 (35) 3x9 (27) 6x6 (36), but square not rectangular The answer is 6x6 = 36

diagram

A drawing that helps you to visualize the information given in a problem.

Draw a diagram. Each side of a square board game measures 16 inches. What is the perimeter of the game board? A 2-inch square is cut from each corner of the board, what is the perimeter of the new game board?

Original perimeter is 16 x 4 = 64 inches.

Solve the equation. x - 2/3 = 5/9 a. 3 2/3 b. 1 2/9 c. 9/11 d. 5/9

b. 1 2/9

A bookcase is made from wood that is 3/4 inch thick. The bookcase has 4 shelves, including the top. The space between shelves is 12 1/2 inches. If the first shelf is on the floor find the total height of the bookcase. Draw a diagram to help you solve the problem. a. 37 1/2 in b. 40 1/2 in c. 3 in d. 13 1/4 in

b. 40 1/2 in

What is the mean number of three point shots made by the team for games 1-5? Game Three Point Shots ----------------------------------- 1 7 2 5 3 9 4 4 5 6 a. 31 b. 6.2 c. 62 d. 9

b. 6.2

A rectangular garden is 2 feet by 1 1/2. A landscaper plants flowers 1/2 foot apart along the edges and at the corners of the garden. How many plants does the landscaper need? Draw a diagram to help you answer the problem. a. 21 plants b. 4 plants c. 14 plants d. 7 plants

c. 14 plants

Baseball cards are 2 1/2 inches by 3 1/2 inches. How many baseball cards fit on a bulletin board that is 45 inches long and 36 inches wide? Draw a diagram to help you solve the problem. a. 120 cards b. 150 cards c. 180 cards d. 210 cards

c. 180 cards

Jasmine lives in Glacier and works in Alpine. There is no direct route from Glacier to Alpine, so Jasmine drives through either Elm or Perth. how many different ways can she drive to work? Draw a diagram to help you solve the problem. a. 3 b. 1 c. 4 d. 5

c. 4

Identify the subtraction problem that does not need to be renamed before subtracting. a. 7 - 2 1/2 b. 9 1/3 - 4 2/3 c. 6 3/10 - 2 7/10 d. 3 5/8 - 2 3/8

d. 3 5/8 - 2 3/8

Megan's car averaged 336 miles on 12 gallons of gas. How many gallons of gas did Megan use to drive 1,344 miles on vacation? a. 40 gallons b. 28 gallons c. 112 gallons d. 48 gallons

d. 48 gallons

Each side of a square game board measure 16 inches. What is the perimeter of the game board? Draw a diagram to help you solve the problem. a. 16 in b. 64 in^2 c. 32 in^2 d. 63 in

d. 64 in