Relate Multiplication to Addition Multiplication Table Activity - - PDF document

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3rd Grade

Multiplication

2015-12-30 www.njctl.org

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Relate addition to multiplication Arrays Multiply by 1 and 0 Multiply by 2 Multiply by 4 Multiply by 10 Multiply by 6

Table of Contents

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Multiply by 7 Multiply by 8 Multiply by 9 Multiply by 3 Multiplication Table Activity Multiply by 5 Square and Rectangles Unit squares and tiling - Area of Squares Area of rectangles Area Word Problems

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Relate Multiplication to Addition

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There are 5 students. Each student is holding up both hands in the

• air. How many hands are up in the air?

What are all of the ways you could figure out this answer?

Relate Multiplication to Addition Slide 6 / 234

What are all of the ways you could figure out this answer? The Greene brothers went for a bike ride. If all four went riding, how many bicycle wheels would you see?

Relate Multiplication to Addition

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Did you use addition? What would the number sentence look like? 2 + 2 + 2 + 2 = 8 This is called repeated addition. Why do you think it is called this?

Click

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Did you consider using multiplication? How many bicycles were there? How many wheels did each bicycle have? What would the number sentence look like? 4 X 2 = 8

Click

Once you are able to memorize your multiplication facts, you will realize that it is the quickest way to solve problems like the Greene brothers' problem.

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Which number sentences match the picture of three flowers with 7 petals each? Repeated Addition Multiplication 3 x 5= 6 x 3= 6 + 6 + 6 = 3 + 3 + 3 = 3 x 7 = 7 + 7 + 7= 7 + 7 + 7 + 7=

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There are five jars. In each jar, there are 3 insects. Show all 5 jars with 3 insects in each jar in the space below. How many insects are there all together? What is the repeated addition sentence? What is the multiplication number sentence?

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How would you write 4 x 6 = in a repeated addition problem? What kind of picture could show these problems?

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How would you write 2 x 8 = in a repeated addition problem? What kind of picture could show these problems?

Relate Multiplication to Addition

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Click to play Carl's Cookie Capers.

Multiplication Game Slide 14 / 234

1 ) 2 x 5 = 5 + 5?

True False

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2 What would the repeated addition number sentence look like for the multiplication problem, 3 x 8 =? A 8 + 8 = B 3 + 3 + 3= C 8 x 3 = D 8 + 8 + 8 =

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3 What would the multiplication number sentence look like for the repeated addition problem, 5 + 5 + 5 =? A 10 + 5 = B 3 x 5= C 5 x 5 = D 3 x 3 =

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4 What repeated addition number sentence would help you figure out the number of petals in the picture below? A 2 x 7 = B 7 + 7 = C 7 + 7 + 7 + 7 + 7 + 7 + 7 = D 10 + 4 =

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5 What multiplication number sentence would help you figure

• ut the number of petals in the picture below?

A 2 x 7 = B 7 + 7 = C 7 + 7 + 7 + 7 + 7 + 7 + 7 = D 10 + 4 =

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Arrays

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Arrays are rectangles made of organized rows and columns of

• bjects to represent a certain number.

An example, of the arrays for the number 6 are shown below.

What are Arrays? Slide 21 / 234

Now you try! Drag and place 8 soccer balls in an array on the field. How many different ways can you arrange the soccer balls so they are arranged into organized rows and columns?

Using Arrays Slide 22 / 234

rows rows When writing a multiplication number sentence for an array, write the number of rows first. The second number should be the number in each row, or the number of columns. Click to reveal the multiplication number sentence for each array. 4 x 2 2 x 4 columns columns

Using Arrays Slide 23 / 234

Each array below is an example of 6. What would the multiplication number sentence for each array be?

Using Arrays Slide 24 / 234

Drag the stars into the rectangle to make an array showing 2 x 5. How many stars will it take to complete the array?

Using Arrays

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Circle the peanuts to show other ways to make arrays showing 10.

Using Arrays Slide 26 / 234

6 Are the cats arranged in an array?

Yes No

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7 This is an array for what number?

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8 Which array is a model for 3 x 2? A the mice B the frogs C the flowers D none of the above

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9 The multiplication number sentence for this array of shoes is 2 x 3.

True False

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10 What array is circled? A 2 x 6 B 3 + 3 + 3 C 12 x 1 D 3 x 4

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Multiplying by 1 and 0

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When multiplying a number by 0, try to remember relating it to addition. For example, 8 x 0 can be thought of as 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0. What would that equal? Could you make an array using 8 x 0?

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Can you explain what happens every time a number is multiplied by 0? This is called the Zero Property of Multiplication.

Multiplying by 0 Slide 34 / 234

When multiplying a number by zero, we call it Any number x 0 = 0

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When multiplying a number by 1, try to remember relating it to addition. For example, 8 x 1 can be thought of as 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1. What would that equal? What would an array of 8 x 1 look like? Use the circles to show the array.

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Can you explain what happens every time a number is multiplied by 1? This is called the Identity Property of Multiplication.

Multiplying by 1

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When multiplying a number by one, we call it Any number x 1 = itself

Multiplying by 1 Slide 38 / 234 Slide 39 / 234

Click the tire to play a game.

Multiplying by 1 and 0 Game Slide 40 / 234

11 The answer to 10 x 0 is 10.

True False

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12 Sandra wants to buy prizes from the machines in front

• f the store. She has to put in one coin in each
• machine. If there are 5 machines, how many coins

will she need to buy a prize from each machine? A 1 B 5 C 0 D 4

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13 What is the answer to any problem that involves multiplying by 0?

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14 ) 6 x 1 is an example of the Identity Property?

Yes No

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15 Greg gives each of his customers 2 coupons when they visit his store. If he hasn't had any customers today, how many coupons has he given out? A 2 B 1 C 0

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Multiply by 2

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2 x 5 = 10

Factor Factor Product Factors are the numbers we multiply together to get to an answer which we call the product. When you are asked to multiply a number by the factor 2, what are some ways you could go about finding the answer?

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Think of some words that mean 2. Click the numbers to reveal some.

Multiplying by 2

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Multiplying by 2 can be thought of as doubling your factor. So, imagine that the problem 3 x 2 is 3 doubled, or 2 groups of 3. Double each set of animals below and write the multiplication number sentence to match.

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Click the pencil to play a game.

Multiplying by 2 Game Slide 52 / 234

16 ) 2 x 0 = 2

True False

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17 If you were to double 4, what would be your answer? A 2 B 4 C 6 D 8

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18 When you multiply a number by 2, the answer is always 2?

Yes No

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19 Which number sentence matches the following word problem?

• Mr. Blake asked his students to take off their shoes for

an activity and place them against the wall. If he has 9 students, how many shoes were along the wall? A 9 + 1 = 10 B 9 x 2 = 9 C 9 x 9 = 81 D 9 x 2 = 18

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20 Which picture below shows an array where 2 was a factor? A peanuts B flowers C pigs D none of the pictures

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Multiply by 5

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Factor 1 2 3 4 5 6 7 x 5 Fill in the chart below. What pattern do you see in the products of each factor? Could this be a rule? What do you notice about the digits in the ones place?

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Using what your remember from the table you created in the last slide, practice multiplying 5 and the number you roll on the 6-sided dice. Click the dice to roll again.

5 x =

Let's Practice! Slide 60 / 234

What items do you think of when 5 is mentioned? Click each box for some ideas. Can you use one of these items in a multiplication number story?

Multiplying by 5

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For example, here's a number story using a factor of five. Natalie is saving up for a new painting set for her artwork. The new paint set costs $32. She can save $5 a week. If she saves her money for 7 weeks, will Natalie have enough money to purchase the new paint set? What number sentence would you use to check your work?

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Now you try! Alone or with a partner, write and solve a multiplication word problem using number 5.

Practice Multiplying by 5 Slide 63 / 234

Click the beach ball to play a multiplication of 5 game.

Multiplying by 5 Game Slide 64 / 234

21

) 9 x 5 = 40

True False

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22 What number besides 5, could be in the ones place of the multiples of 5?

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23 This wagon has 4 wheels. How many wheels would there be if there were 5 wagons? A 20 B 45 C 1 D 9

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24 It takes Jim 5 minutes to run one lap around the track. How many minutes does it take for him to run 8 laps? A 58 B 3 C 40 D 45

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25 Does knowing the multiples of 5 help you tell time?

Yes No

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26

If the big hand is on the 5, how many minutes past the hour is it?

1 2 3 4 5 6 7 8 9 10 12 11

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27

If the big hand is on the 2, how many minutes past the hour is it?

1 2 3 4 5 6 7 8 9 10 12 11

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28 Carol plays a ball game. She gets 7 points each time her ball hits a target. If she hits the target at least 5 times in a row, she gets an extra 25 points. What is the total number of points Carol gets if she hits the target 5 times in a row?

From PARCC EOY sample test #12

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Reminder: Nickels are worth 5 cents.

Multiplying by 5

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Four friends each have a nickel, what is the total amount of money they have? 4 groups of 5 4 x 5 = 20 cents

click click

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29 You find six nickels under the couch. How many cents did you find? A 6 cents B 5 cents C 65 cents D 30 cents

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30 A piece of candy is five cents. If you buy 8 pieces, how much will it cost?

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31 Your aunt gives you five cents for each flower you help her plant. If you plant 3, how many cents will she give you?

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32 While cleaning out your dad's car you find 9

• nickels. How many cents is this?

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33 In your piggy bank you have 7 nickels. How many cents is this?

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Multiply by 10

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Factor 1 2 3 4 5 6 7 x 10 Fill in the chart below. What pattern do you see in the products of each factor? Could this be a rule? What do you notice about the digits in the ones place?

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Let's practice! Using what your remember from the table you created in the last slide, practice multiplying 10 and the number you roll on the 6- sided dice. Click the dice to roll again.

10 x =

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What items do you think of when 10 is mentioned? Click each box for some ideas. Can you use one of these items in a multiplication number story?

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For example, here is a multiplication number story using a factor of 10. Melissa is in a beginner's typing class. At the end of her first day she could type 10 words in one minute. How many words could she type if the teacher gave her 7 minutes to finish? What is the number sentence you would use to check your work?

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Now you try! Alone or with a partner, write and solve a multiplication

word problem using the number 10.

Practice Multiplying by 10

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150

When multiplying by 10, the rule is you are basically "adding a place value" to that number. So in the case of 10 x 5 = 50, we are "adding a place value" to 5 making it 50. This works for all numbers! Let's practice. Pop the balloons to check your answers.

320 480

210

Practice Multiplying by 10 Slide 86 / 234

Click to play a multiplication of 10 game.

Multiplying by 10 Game Slide 87 / 234

34 Multiples of 10 have _____ in the ones place? A 10 B 1 C 0 D Both B and C

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35 The product below is 10?

Yes No

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36 This bouquet has 3 flowers. How many flowers would there be if there were 10 bouquets? A 13 B 103 C 7 D 30

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37 You charge $10 for raking leaves. If you rake 7 yards, how much money will you earn?

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38 While cleaning out your mom's car you find nine dimes. How many cents is this? A 9 B 19 C 90 D 900

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39 While shopping you buy five new shirts. Each one is $10. How much did you spend?

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40 You can use the rule for 10 for numbers larger than 10. (for example, 13 x 10)

True False

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41 What is 21 x 10?

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42 Which two ways show how to find the value of 7 x 40? Select two correct answers. A 7 x 4 B 4 x 10 C 7 x 4 x 10 D 7 groups of 4 ones E 7 groups of 4 tens

From PARCC EOY sample test #4

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43 ) 3 x 80 =

From PARCC EOY sample test #36

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Multiplication Table Activity

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Multiply by 3

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When given the multiplication problem of 6 x 3, you can picture 6 groups of 3. It can be helpful to use the circles as your groups. Make 6 groups with 3 pigs in each.

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Counting by threes and creating arrays may also help you with your 3 times tables. 3, 6, 9... 6 x 3

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Fill out the multiplication chart below. Factors x3 1 2 3 4 5 6 7 8 9 10 Is there a pattern? What else do you notice about the products?

Multiplying by 3

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Click on the dinosaur to play a multiplication game.

Multiplication by 3 Game Slide 105 / 234

44 The products of multiplication problems with 3 in them are all odd.

True False

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45 In Fairytale Town, there are 9 cottages that have 3 bears in each. How many bears are there in all? A 12 B 27 C 6 D 3

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46 What number was 3 multiplied by to make the array below? A 3 B 12 C 4 D 15

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47 Can a 3 times table have even numbers as products?

Yes No Factors x3 1 2 3 4 5 6 7 8 9 10

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48 What is 3 x 8?

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Multiply by 4

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When given the multiplication of 3 x 4, you can picture 3 groups of

• four. It can be helpful to use the circles as your groups. Make 3

groups with 4 quarters in each.

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Counting by fours and creating arrays may also help you with your 4 times tables. 4, 8, 12... But have you heard of double doubling? You've been taught that multiplying by two can be done by

• doubling. If you double that one more time, you've

multiplied by four. For example, 4 x 5 can be thought of as doubling 5. That will equal 10. Then double that, and you will have 20. So, 4 x 5 = 20.

Multiplying by 4 Slide 114 / 234

Fill out the multiplication chart below. Factors x4 1 2 3 4 5 6 7 8 9 10 Is there a pattern? What else do you notice?

Multiplying by 4

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Another way to quickly recall multiplication facts is to think of your 2 times table and double that.

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Notice how the 4 times tables are double the 2 times tables.

Multiplying by 4 Slide 117 / 234 x

Let's multiply by 4. Roll the 6-sided dice to see by which factor you are multiplying the 4. Can you double the double? Once you find a product, you may pop that balloon. Play until all balloons have been popped.

= Practice Multiplying by 4 Slide 118 / 234

Click on the snow to play a multiplication game.

Multiplication by 4 Game Slide 119 / 234

50 The products of multiplication problems with 4 in them are all odd.

True False

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51 What is 4 x 8?

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52 The waitress gave us 4 packs of crayons when we sat down to eat. There were 4 crayons in each pack. How many crayons are there? A 8 B 0 C 16 D 44

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53 The number 36 has 4 as a factor. What is the other factor? A 9 B 32 C 40 D 0

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54 Does the picture show a multiple of 4?

Yes No

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Multiply by 6

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When given the multiplication of 6 x 4, you can picture 6 groups of

• four. It can be helpful to use the circles as your groups. Make 6

groups with 4 x's in each.

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Counting by six and creating arrays may also help you with your 6 times tables. 6, 12, 18... 6 x 3

Multiplying by 6

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Fill out the multiplication chart below. Factors x6 Is there a pattern? What else do you notice? 1 2 3 4 5 6 7 8 9 10

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Let's play a game of multiplication by 6 tic-tac-toe.

x

• x

12 6 18 24 30 36 6 12 30

6

Multiplication by 6 Game Slide 129 / 234

Click on the fish to play a multiplication game.

Multiplication by 6 Game Slide 130 / 234

55 The products of multiplication problems with 6 in them are all odd.

True False

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56 I rolled 4 dice. Each die landed on 6. What was the product of all of the dice? A 10 B 2 C 16 D 24

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57 What is not a multiple of 6? A 6 B 16 C 24 D 42

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58 Does the picture below show a multiple of 6?

Yes No

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59 What is 6 x 8?

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Multiply by 7

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If the seven swans a swimming decide to become seven swans a

• laying. How many eggs will there be after each lays six eggs?

Use the nests and the eggs to show a picture to match the story problem.

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Creating arrays may also help you with your 7 times tables. Use the pen to trace around the squares to make arrays with 7 as a factor.

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Fill out the multiplication chart below. Factors x7 Is there a pattern? What else do you notice? 1 2 3 4 5 6 7 8 9 10

Multiplying by 7

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The baker has several birthdays coming up. If each cake receives 7 candles, how many candles will he need to order for the 9 cakes he has baked? The cake is infinitely cloned. What is your multiplication number sentence?

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Click on the rocking horse to play a multiplication game.

Multiplication by 7 Game Slide 141 / 234

60 The products of multiplication problems with 7 in them are all odd.

True False

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61 The seven dwarves were getting ready to go to work. Each carried two pick axes. How many axes were there? A 9 B 5 C 72 D 14

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62 When in a word problem, what word could mean 7? A meter B Half dozen C week D octagon

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63 If I had 5 of the following cards, would I have 35 hearts?

Yes No

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64 What is 7 x 8?

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Multiply by 8

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If 7 itsy bitsy spiders crawl up to the top of a wall, how many spider legs will there be in all?

Multiplying by 8 Slide 148 / 234

Creating arrays may also help you with your 8 times tables. Use the pen to trace around the squares to make arrays with 8 as a factor.

Multiplying by 8 Slide 149 / 234

Fill out the multiplication chart below. Factors x8 Is there a pattern? What else do you notice? 1 2 3 4 5 6 7 8 9 10

Multiplying by 8 Slide 150 / 234

Mario is the head chef at Tony's Pizza House. He makes sure each pizza is cut into 8 slices. How many slices of pizza will there be if Mario serves 5 pizzas during his lunch rush? The pizzas are infinitely cloned. What is the multiplication number sentence you could use?

Multiplying by 8

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Click on the bear to play a multiplication game.

Multiplication by 8 Game Slide 152 / 234

65 The products of multiplication problems with 8 in them are all even.

True False

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66 Most jobs ask you to work 8 hours a day for 5 days each

• week. How many hours is that in all?

A 13 B 3 C 40 D 85

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67 When in a word problem, what word could mean 8? A ate B Half dozen C week D octagon

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68 This is an array that shows 8 x 4.

Yes No

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69 What is 9 x 8?

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70 Which two statements can be represented by the expression 4x8? A A teacher puts 8 chairs at each of 4 tables. B Tom buys 4 red markers and 8 black markers. C Marie shares her 8 marbles equally among 4 friends. D There are 4 rows of flowers. There are 8 flowers in each row. E There are 8 ducks in the pond. Then, 4 more ducks join them.

From PARCC EOY sample test #2

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Multiply by 9

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A cat is said to have 9 lives. If there were six cats, how many "lives" would they have altogether?

Multiplying by 9 Slide 160 / 234

Creating arrays may also help you with your 9 times tables. Use the pen to trace around the squares to make arrays with 9 as a factor.

Multiplying by 9 Slide 161 / 234

There is also a strategy for your 9 times tables using your hands. If you put down your next finger, how many fingers do you have to the left of that finger? How many fingers do you have to the right? If you put down your next finger, how many fingers do you have to the left of that finger? How many fingers do you have to the right? Place your hands in front of you like so. If you put down your left pinky, how many fingers do you have up?

Multiplying by 9 Slide 162 / 234 Multiplying by 9

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Fill out the multiplication chart below. Is there a pattern? What else do you notice?

1 2 3 4 5 6 7 8 9 10

Factor x 9

Multiplying by 9 Slide 164 / 234

Click on the window to play a multiplication game.

Multiplying by 9 Game Slide 165 / 234

71 The products of multiplication problems with 9 in them are all even.

True False

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72 Nine teachers each have 4 computers in their

• classrooms. How many computers is that in all?

A 13 B 5 C 36 D 94

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73 What number is not a multiple of 9? A 9 B 19 C 27 D 90

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74 If there are 9 starfish, there would be 45 legs?

Yes No

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75 What is 9 x 8?

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76 Cade has 4 boxes. He puts 9 model cars in each box. What is the total number of model cars Cade put in these boxes?

From PARCC EOY sample test #25

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Squares & Rectangles

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A square is a shape where all four sides are the same length. The four corners are all right angles.

Squares Slide 173 / 234 Slide 174 / 234

A rectangle is a four sided shape. All four corners are right angles.

Rectangles

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A rectangle is a four sided shape. All four corners are right angles. A square is a shape where all four sides are the same length. The four corners are all right angles. It is important to remember that because of the definition of a RECTANGLE, all squares are in fact rectangles. They meet the definition in that they have four sides and all four corners are right

• angles. A rectangle is only a SQUARE when all four sides are the

same length and all four corners are right angles.

Squares & Rectangles Slide 176 / 234 Slide 177 / 234

77 Choose all of the below that are squares.

A B C D E F

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78 Choose all of the below that are rectangles.

A B C D E F

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79 Is a square a rectangle?

Yes No

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80 Is a rectangle a square?

Yes No

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Unit Squares and Tiling - Area of Squares

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Area is the space inside of an object. For example, in a backyard the grass inside the fence makes up the area of the yard.

fence = perimeter grass = area

What is Area? Slide 183 / 234

A unit square, is a square that has side lengths of one.

1 unit 1 unit

Area is the number of square units it takes to cover the surface of a unit.

What is Area? Slide 184 / 234

On grid paper, make a square that has sides

• f 3 units.

How many unit squares would you need to cover the area of the square?

unit square

Area Slide 185 / 234

How many unit squares would you need to cover the area of the square?

unit square

Now make a square that has sides of 4 units.

Area Slide 186 / 234

81 The area is the part around the outside of a shape. True False

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82 How many unit squares will it take to cover this square?

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83 How many unit squares will it take to cover this square?

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84 If a square has side lengths of 7, how many unit squares do you think it will take to cover it? (Do not draw this example.)

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Area can be found by counting the unit squares on a grid. It is also found by multiplying the length and the width of a square. Because of the definition of a square, we know that each side has the same length. Sometimes, length and width are called base and height. These two measurements are also called the dimensions. Identify the parts of the rectangle below. Drag words from the bubble to show where they belong.

• r
• r

length width base height

AREA Finding the Area of a Square Slide 191 / 234

Square Side Lengths Number of Unit Squares to Cover 2 4 3 9 4 16 5 25 6 7 49

Area of a Square

Teacher Notes

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85 What is the area of a square with side lengths of 9 units? _______ square units

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86 What is the area of a square with side lengths of 10 units? _______ units

2

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87 What is the area of a square with side lengths of 1 inch? _______ square inches

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Area of Rectangles

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On grid paper, make a rectangle that has sides

• f 3 units by 2 units.

How many unit squares would you need to cover the rectangle?

unit square

Area of Rectangles Slide 197 / 234

On grid paper, make a rectangle that has sides

• f 3 units by 6 units.

How many unit squares would you need to cover the rectangle?

unit square

Area of Rectangles Slide 198 / 234

On grid paper, make a rectangle that has sides

• f 4 units by 5 units.

How many unit squares would you need to cover the rectangle?

unit square

Area of Rectangles

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On grid paper, make a rectangle that has sides

• f 5 units by 3 units.

How many unit squares would you need to cover the rectangle?

unit square

Area of Rectangles Slide 200 / 234

Area is found by counting the unit squares taken up by a grid. It can also be found by multiplying the length and the width of a rectangle. Sometimes, length and width are called base and height. These two measurements are also called the dimensions. Identify the parts of the rectangle below. Drag words from the bubble to show where they belong.

• r
• r

length width base height

AREA Finding the Area of a Rectangle Slide 201 / 234

Sometimes, you are given the length and width of a rectangle. Multiply them together to find the area.

8 3

length x width = area 8 x 3 = 24 the area is 24

Area of Rectangles Slide 202 / 234

Rectangle Length Rectangle Width Number of Unit Squares to Cover

2 3 6 3 6 18 4 5 20 5 3 15 6 2

Area of Rectangles

Teacher Notes

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In other cases, you may only know the measure of one side and the total area. Your job is to find the length of the remaining side. Think: length x ________ = area Use what you already know about multiplication and fact families to help you find the missing width. For example,

? 5 ? 5 x ____ = 45 ?

The length must be 9 because 5 x 9 = 45

Area of Rectangles Slide 204 / 234

Let's help solve a problem! Tyler is a home painter. He knows he will need enough paint to cover a wall area of 80 square feet. The wall is 10 feet wide. What is the length of a wall? What do we already know? We know the width and the area. Let's use

• ur fact families to figure out the length of the wall.

______ feet x 10 feet = 80 square feet 8 feet x 10 feet = 80 square feet

Practice

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Area of Rectangles Game Slide 206 / 234

88 How many unit squares will it take to cover this rectangle? ______ square units

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89 How many unit squares will it take to cover this rectangle? ______ square units

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90 Look at the shaded rectangles below. Which area would you drag to label below Rectangle Number 3? A B C D

6 feet 4 feet 4 feet 7 feet 9 feet 3 feet

1 2 3

From PARCC EOY sample test #19

20 square feet 24 square feet 27 square feet 28 square feet

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91 If a rectangle has side length of 7 and a side width

• f 3, how many unit squares do you think it will

take to cover it? (Do not draw this example.) ______ units 2

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92 If a rectangle has side length of 5 and a side width

• f 8, how many unit squares do you think it will

take to cover it? (Do not draw this example.) ______ units 2

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93 What is the area of a rectangle with a side length of 10 feet and a side width of 3 feet? ______ square feet

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94 What is the area of a rectangle with a side length of 1 inch and a side width of 3 inch? ______ in2

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95 Which rectangle has an area of 24 square units? A B C D

From PARCC PBA sample test #14

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Area Word Problems

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As with any word problems, read each carefully to make sure you understand the problem. You may draw pictures and use multiplication to solve each problem. The units are important. Do not forget to include them in your answer.

Area Word Problems Slide 216 / 234

96 A rectangular field measures 10 ft by 4ft. What is the area of this field? _____ feet

2

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97 Cooper wants new carpeting for his bedroom. His room is 5 yd by 8 yd. How much carpeting does he need to buy to cover his bedroom floor? _____ square yards

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98 Mrs. Clark decided to change the tile in her

• classroom. Her classroom has a length of 7

m and the width of 10 m. If each tile is 1 square meter, how many tiles would she need to cover the floor? _____ tiles

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99 There is a square garden with the side length of 7 m. What is the area of the garden? _____ m

2

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100 The area of a square photo is 25 square inches. What is the length of one of the sides of the photo? _____ inches

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101 Mr. George is building square platforms for students to reach their SMARTboards. Can he build one with the area of 56 square inches?

Yes No

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102 Janie is covering a bulletin board for the school talent

• show. The board is 9 ft by 5 ft. How many square

feet of paper will she need to cover the board? _____ feet2

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103 Each side of our kitchen TV is 9 inches long. What is the area of the TV screen? _______ inches2

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104 I counted the squares that were inside the rectangle I drew. There were 48 squares. What are the side lengths of my rectangle (dimensions)? A 7 x 7 B 8 + 6 C 6 x 8 D 48 x 2

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105 A room has an area of 24 square feet. Its length is 3 feet long. What is the width? _____ feet

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106 Jenny is making a box garden in her backyard. The length of her box garden is 8 yards. The area inside where she will fill dirt is 72 square yards. What is the width of her box garden in yards?

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107 Ken draws a rectangle with an area of 35-square inches. The width of the rectangle is 5 inches. What is the length

• f Ken's rectangle?

From PARCC EOY sample test #27

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108 Mr. James is covering his bulletin boards with paper to start the new school year. His bulletin board is 7 feet wide, and he has already cut 56 square feet of red

• paper. Determine the length of his bulletin board.

A 9 feet B 8 feet C 7 feet D 6 feet

Welcome to Mr. J's Class

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109 Cathy purchased a new tablecloth for her birthday party. The area of the tablecloth is 24 square feet. What are possible dimensions of the tablecloth? Choose all that apply. A 12 ft x 12 ft B 8 ft x 3 ft C 5 ft x 8 ft D 6 ft x 4 ft

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110 Gina's bedroom floor is in the shape of a rectangle. It is 10 feet long and 9 feet wide. What is the area of Gina's bedroom floor? A 19 square feet B 38 square feet C 90 square feet D 109 square feet

From PARCC PBA sample test #1

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111 Part A Tori and Leo set up their clubhouse with four tables. These rectangles represent the tabletops. A B C D

From PARCC PBA sample test #8

Enter the two tabletops with the same area, in square feet, and explain how you know that the areas are equal.

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112 Part B The grid shows Table C and Table D placed end to end to make a new, larger tabletop. Tori uses the expression 3 x (2 + 4) to find the total area

• f the new, larger tabletop. Leo uses the expression (3 x

2) + (3 x 4) to find the total area of the new, larger tabletop. · Enter the total area, in square feet, of the new, larger tabletop. · Use a grid to explain why both Tori's expression and Leo's expression are correct.

From PARCC PBA sample test #8

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113 Adam needs to put 19 pictures from Classroom A and 23 pictures from Classroom B on a bulletin board. He wants to display the pictures in an array. Part A Select a box for each pictures to create an array to represent the pictures on the bulletin board.

From PARCC PBA sample test #9

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114 Part B (continued from previous slide) Find the area of the array. Explain your answer using an equation or equations.

From PARCC PBA sample test #9