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

click on the topic to go to that section

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?

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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

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Teacher Notes Teachers: choose 5 students to stand up. Have each student raise both hands.

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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?

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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?

Relate Multiplication to Addition

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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 Slide 13 / 234

Click to play Carl's Cookie Capers.

Multiplication Game Slide 14 / 234

1 ) 2 x 5 = 5 + 5?

True False

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1 ) 2 x 5 = 5 + 5?

True False

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Answer

True

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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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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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Answer

D

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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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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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Answer

B

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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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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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Answer

B

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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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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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Answer

A

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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

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

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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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6 Are the cats arranged in an array?

Yes No

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Answer

No

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7 This is an array for what number?

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7 This is an array for what number?

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Answer

12

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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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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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Answer

B

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

True False

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

True False

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Answer

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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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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Answer

D

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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.

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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.

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

Multiplying by 1

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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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11 The answer to 10 x 0 is 10.

True False

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Answer

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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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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Answer

B

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

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

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Answer

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

Yes No

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

Yes No

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Answer

Yes

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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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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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Answer

C

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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.

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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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16 ) 2 x 0 = 2

True False

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Answer

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

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Answer

D

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

Yes No

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

Yes No

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Answer

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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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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Answer

D

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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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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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Answer

D

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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 =

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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?

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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

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21

) 9 x 5 = 40

True False

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21

) 9 x 5 = 40

True False

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Answer

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

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Answer

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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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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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Answer

20

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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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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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Answer

C

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

Yes No

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

Yes No

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Answer

Yes

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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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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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Answer

25 minutes

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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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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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Answer

10 minutes

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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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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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Answer

60 points

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Reminder: Nickels are worth 5 cents.

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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

Multiplying by 5

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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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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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Answer

D

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

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Answer

40 cents

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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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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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Answer

15 cents

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

• nickels. How many cents is this?

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Answer

45 cents

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33 In your piggy bank you have 7 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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Answer

35 cents

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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?

Multiplying by 10

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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 Slide 85 / 234

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

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

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

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Answer

C

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35 The product below is 10?

Yes No

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35 The product below is 10?

Yes No

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Answer

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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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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Answer

D

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

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Answer

$70

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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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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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Answer

C

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

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Answer

$50

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

True False

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Answer

True

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41 What is 21 x 10?

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41 What is 21 x 10?

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Answer

210

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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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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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Answer

C,E

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43 ) 3 x 80 =

From PARCC EOY sample test #36

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43 ) 3 x 80 =

From PARCC EOY sample test #36

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Answer

240

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Multiplication Table Activity

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Slide 98 / 234 Multiplication Table Slide 98 (Answer) / 234 Multiplication Table

Teacher Notes

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Distribute a multiplication table to each

• student. Discuss with them which facts

they have memorized or can count by

• quickly. (i.e. zeros, ones, twos, fives, and

tens) Highlight these facts or cross them

• ut. The facts that

are left, are ones that the children should focus on ( i.e. play games, make flash cards, etc.).

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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.

Multiplying by 3 Slide 100 (Answer) / 234

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.

Multiplying by 3

Teacher Notes

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The circles and pigs are infinitely cloned.

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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

Multiplying by 3 Slide 101 (Answer) / 234

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

Multiplying by 3

Teacher Notes

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Teachers: this is a good opportunity to get kids up and moving for practice. If you have access to an outside or open area with jump ropes, soft balls to toss or bounce, or even sidewalk chalk students can practice counting by threes each time they jump, toss, bounce, or step.

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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 Slide 103 / 234 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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44 The products of multiplication problems with 3 in them are all odd.

True False

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Answer

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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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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Answer

B

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

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Answer

C

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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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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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Answer

Yes

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48 What is 3 x 8?

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48 What is 3 x 8?

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Answer

24

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Slide 110 (Answer) / 234 Slide 111 / 234

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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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.

Multiplying by 4

Teacher Notes

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The circles and quarters are infinitely cloned.

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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.

Multiplying by 4 Slide 116 / 234

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

True False

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Answer

False

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51 What is 4 x 8?

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51 What is 4 x 8?

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Answer

32

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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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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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Answer

C

Slide 122 / 234

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

Slide 122 (Answer) / 234

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

[This object is a pull tab]

Answer

A

Slide 123 / 234

54 Does the picture show a multiple of 4?

Yes No

Slide 123 (Answer) / 234

54 Does the picture show a multiple of 4?

Yes No

[This object is a pull tab]

Answer

Yes

Slide 124 / 234

Multiply by 6

click to return to table of contents

Slide 125 / 234

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.

Multiplying by 6 Slide 125 (Answer) / 234

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.

Multiplying by 6

Teacher Notes

[This object is a teacher notes pull tab]

The circles and x's are infinitely cloned.

Slide 126 / 234

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

Multiplying by 6

Slide 127 / 234

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

Multiplying by 6 Slide 128 / 234

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 128 (Answer) / 234

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

Teacher Notes

[This object is a teacher notes pull tab]

Directions: choose 2 volunteers to play

• r elect to play class vs. teacher, boys vs.

girls, or half the class against half the

• class. Roll the 6-sided dice and find the
• product. Find the product on the tic-tac-

toe board on the right. The first player places an x over that product. Player 2 rolls the dice and they place an o over their product. If the x is already on that product, you cannot play. Play until winner is determined. Clear the board if a round ends in a tie.

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

Slide 130 (Answer) / 234

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

True False

[This object is a pull tab]

Answer

False

Slide 131 / 234

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

Slide 131 (Answer) / 234

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

[This object is a pull tab]

Answer

D

Slide 132 / 234

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

Slide 132 (Answer) / 234

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

[This object is a pull tab]

Answer

B

Slide 133 / 234

58 Does the picture below show a multiple of 6?

Yes No

Slide 133 (Answer) / 234

58 Does the picture below show a multiple of 6?

Yes No

[This object is a pull tab]

Answer

Yes

Slide 134 / 234

59 What is 6 x 8?

Slide 134 (Answer) / 234

59 What is 6 x 8?

[This object is a pull tab]

Answer

48

Slide 135 / 234

Multiply by 7

click to return to table of contents

Slide 136 / 234

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.

Multiplying by 7 Slide 136 (Answer) / 234

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.

Multiplying by 7

Teacher Notes

[This object is a teacher notes pull tab]

The nests and the eggs are infinitely cloned.

Slide 137 / 234

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.

Multiplying by 7

Slide 138 / 234

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 Slide 139 / 234

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?

Multiplying by 7 Slide 140 / 234

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

Slide 141 (Answer) / 234

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

True False

[This object is a pull tab]

Answer

False

Slide 142 / 234

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

Slide 142 (Answer) / 234

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

[This object is a pull tab]

Answer

D

Slide 143 / 234

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

Slide 143 (Answer) / 234

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

[This object is a pull tab]

Answer

C

Slide 144 / 234

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

Yes No

Slide 144 (Answer) / 234

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

Yes No

[This object is a pull tab]

Answer

Yes

Slide 145 / 234

64 What is 7 x 8?

Slide 145 (Answer) / 234

64 What is 7 x 8?

[This object is a pull tab]

Answer

56

Slide 146 / 234

Multiply by 8

click to return to table of contents

Slide 147 / 234

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 147 (Answer) / 234

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

Teacher Notes

[This object is a teacher notes pull tab]

Use the spider to show a picture to match the story

• problem. It is infinitely

cloned.

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 Slide 151 / 234

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

Slide 152 (Answer) / 234

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

True False

[This object is a pull tab]

Answer

True

Slide 153 / 234

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

Slide 153 (Answer) / 234

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

[This object is a pull tab]

Answer

C

Slide 154 / 234

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

Slide 154 (Answer) / 234

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

[This object is a pull tab]

Answer

D

Slide 155 / 234

68 This is an array that shows 8 x 4.

Yes No

Slide 155 (Answer) / 234

68 This is an array that shows 8 x 4.

Yes No

[This object is a pull tab]

Answer

Yes

Slide 156 / 234

69 What is 9 x 8?

Slide 156 (Answer) / 234

69 What is 9 x 8?

[This object is a pull tab]

Answer

72

Slide 157 / 234

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

Slide 157 (Answer) / 234

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

[This object is a pull tab]

Answer

A,D

Slide 158 / 234

Multiply by 9

click to return to table of contents

Slide 159 / 234

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

Multiplying by 9 Slide 159 (Answer) / 234

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

Multiplying by 9

Teacher Notes

[This object is a teacher notes pull tab]

Use the cat to show a picture to match the story problem. It is infinitely cloned.

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 Slide 163 / 234

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

Slide 165 (Answer) / 234

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

True False

[This object is a pull tab]

Answer

False

Slide 166 / 234

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

Slide 166 (Answer) / 234

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

[This object is a pull tab]

Answer

C

Slide 167 / 234

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

Slide 167 (Answer) / 234

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

[This object is a pull tab]

Answer

B

Slide 168 / 234

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

Yes No

Slide 168 (Answer) / 234

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

Yes No

[This object is a pull tab]

Answer

Yes

Slide 169 / 234

75 What is 9 x 8?

Slide 169 (Answer) / 234

75 What is 9 x 8?

[This object is a pull tab]

Answer

72

Slide 170 / 234

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

Slide 170 (Answer) / 234

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

[This object is a pull tab]

Answer

36 model cars

Slide 171 / 234

Squares & Rectangles

click to return to table of contents

Slide 172 / 234

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 Slide 175 / 234

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

Slide 177 (Answer) / 234

77 Choose all of the below that are squares.

A B C D E F

[This object is a pull tab]

Answer

B,D

Slide 178 / 234

78 Choose all of the below that are rectangles.

A B C D E F

Slide 178 (Answer) / 234

78 Choose all of the below that are rectangles.

A B C D E F

[This object is a pull tab]

Answer

B, D, E

Slide 179 / 234

79 Is a square a rectangle?

Yes No

Slide 179 (Answer) / 234

79 Is a square a rectangle?

Yes No

[This object is a pull tab]

Answer

Yes

Slide 180 / 234

80 Is a rectangle a square?

Yes No

Slide 180 (Answer) / 234

80 Is a rectangle a square?

Yes No

[This object is a pull tab]

Answer

No

Slide 181 / 234

Unit Squares and Tiling - Area of Squares

click to return to table of contents

Slide 182 / 234

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 184 (Answer) / 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

Teacher Notes

[This object is a teacher notes pull tab]

Unit square is infinitely cloned.

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 185 (Answer) / 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

Teacher Notes

[This object is a teacher notes pull tab]

Unit square is infinitely cloned.

Slide 186 / 234

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

Slide 186 (Answer) / 234

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

[This object is a pull tab]

Answer

False

Slide 187 / 234

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

Slide 187 (Answer) / 234

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

[This object is a pull tab]

Answer

4 square units

Slide 188 / 234

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

Slide 188 (Answer) / 234

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

[This object is a pull tab]

Answer

25 square units

Slide 189 / 234

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.)

Slide 189 (Answer) / 234

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.)

[This object is a pull tab]

Answer

49 square units

Slide 190 / 234

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

Slide 192 / 234

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

Slide 192 (Answer) / 234

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

[This object is a pull tab]

Answer

81

Slide 193 / 234

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

2

Slide 193 (Answer) / 234

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

2

[This object is a pull tab]

Answer

100

Slide 194 / 234

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

Slide 194 (Answer) / 234

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

[This object is a pull tab]

Answer

1

Slide 195 / 234

Area of Rectangles

click to return to table of contents

Slide 196 / 234

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 196 (Answer) / 234

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

Teacher Notes

[This object is a teacher notes pull tab]

Unit square is infinitely cloned.

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 197 (Answer) / 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

Teacher Notes

[This object is a teacher notes pull tab]

Unit square is infinitely cloned.

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 Slide 198 (Answer) / 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

Teacher Notes

[This object is a teacher notes pull tab]

Unit square is infinitely cloned.

Slide 199 / 234

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 199 (Answer) / 234

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

Teacher Notes

[This object is a teacher notes pull tab]

Unit square is infinitely cloned.

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

Slide 203 / 234

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 Slide 205 / 234

Click the button to play a game.

Area of Rectangles Game Slide 206 / 234

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

Slide 206 (Answer) / 234

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

[This object is a pull tab]

Answer

24

Slide 207 / 234

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

Slide 207 (Answer) / 234

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

[This object is a pull tab]

Answer

18

Slide 208 / 234

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

Slide 208 (Answer) / 234

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

Teacher Notes

[This object is a teacher notes pull tab]

Answers are infinitely cloned so students can come to the board and drag the areas into the correct box. They can input the letter that matches with the area

• f Rectangle Number 3 into their

responders.

C

Slide 209 / 234

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

Slide 209 (Answer) / 234

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

[This object is a pull tab]

Answer

21

Slide 210 / 234

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

Slide 210 (Answer) / 234

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

[This object is a pull tab]

Answer

40

Slide 211 / 234

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

Slide 211 (Answer) / 234

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

[This object is a pull tab]

Answer

30

Slide 212 / 234

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

Slide 212 (Answer) / 234

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

[This object is a pull tab]

Answer

3

Slide 213 / 234

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

From PARCC PBA sample test #14

Slide 213 (Answer) / 234

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

From PARCC PBA sample test #14

[This object is a pull tab]

Answer

C

Slide 214 / 234

Area Word Problems

click to return to table of contents

Slide 215 / 234

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

Slide 216 (Answer) / 234

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

2

[This object is a pull tab]

Answer

40

Slide 217 / 234

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

Slide 217 (Answer) / 234

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

[This object is a pull tab]

Answer

40

Slide 218 / 234

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

Slide 218 (Answer) / 234

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

[This object is a pull tab]

Answer

70

Slide 219 / 234

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

2

Slide 219 (Answer) / 234

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

2

[This object is a pull tab]

Answer

49

Slide 220 / 234

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

Slide 220 (Answer) / 234

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

[This object is a pull tab]

Answer

5

Slide 221 / 234

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

Slide 221 (Answer) / 234

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

[This object is a pull tab]

Answer

No

Slide 222 / 234

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

Slide 222 (Answer) / 234

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

[This object is a pull tab]

Answer

45

Slide 223 / 234

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

Slide 223 (Answer) / 234

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

[This object is a pull tab]

Answer

81

Slide 224 / 234

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

Slide 224 (Answer) / 234

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

[This object is a pull tab]

Answer

C

Slide 225 / 234

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

Slide 225 (Answer) / 234

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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Answer

8

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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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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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Answer

9 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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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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Answer

7 inches

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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 Slide 228 (Answer) / 234

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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Answer

B

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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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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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Answer

B, D

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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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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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Answer

C

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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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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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Answer

Student response includes each of the following 2 elements: · Computation component: The student identifies Table B and Table D as having the same area. · Reasoning component: The student explains that the areas are the same because 3 x 4 = 4 x 3. Notes: · Use of the term"commutative property" is not required. · Full credit for both computation and reasoning is awarded if student states "Tables B and D are both 4 x 3 = 12 square feet."

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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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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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Answer

Student response includes each of the following 2 elements: · Computation component: The student indicates that the total area of the combined tabletop is 18 square feet. · Reasoning component: The student explains why both expressions are correct such as, "The diagram shows you can either find the area of each table and add them together, (3x2) + (3x4), or since they both have the same length, you can just add the 2 widths together and then multiply by the length, 3 x (2+4)." Note: Use of the term "distributive property" is not required.

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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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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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Answer Modeling component: Student shades a 6 x 7 array.

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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

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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

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Answer Student response includes each of the following 2 elements: · Computation component: 42 · Modeling component: Student writes an equation showing how to find the area of the array. Sample Student Response: I shaded in an array of 6 x 7. I know 6 x 7 = 42, so the area of the array is 42.