Slide 1 / 234content.njctl.org/courses/math/3rd-grade-math/multiplication/... · Slide 1 / 234....
Transcript of Slide 1 / 234content.njctl.org/courses/math/3rd-grade-math/multiplication/... · Slide 1 / 234....
Slide 1 / 234
Slide 3 / 234
Relate addition to multiplicationArraysMultiply by 1 and 0Multiply by 2
Multiply by 4
Multiply by 10
Multiply by 6
Table of Contentsclick on the topic to go
to that section
Multiply by 7Multiply by 8Multiply by 9
Multiply by 3Multiplication Table Activity
Multiply by 5
Square and RectanglesUnit squares and tiling - Area of SquaresArea of rectanglesArea Word Problems
Slide 5 / 234
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 5 (Answer) / 234
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
[This object is a pull tab]
Teac
her N
otes
Teachers: choose 5 students to stand up. Have each student raise both hands.
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
Slide 7 / 234
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
Relate Multiplication to Addition
Slide 8 / 234
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 = 8Click
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.
Relate Multiplication to Addition
Slide 9 / 234
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=
Relate Multiplication to Addition
Slide 10 / 234
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?
Relate Multiplication to Addition
Slide 11 / 234
How would you write 4 x 6 = in a repeated addition problem?
What kind of picture could show these problems?
Relate Multiplication to Addition
Slide 12 / 234
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
Slide 14 (Answer) / 234
1 ) 2 x 5 = 5 + 5?
True
False
[This object is a pull tab]
Ans
wer
True
Slide 15 / 234
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 =
Slide 15 (Answer) / 234
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 =
[This object is a pull tab]
Ans
wer
D
Slide 16 / 234
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 =
Slide 16 (Answer) / 234
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 =
[This object is a pull tab]
Ans
wer
B
Slide 17 / 234
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 =
Slide 17 (Answer) / 234
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 =
[This object is a pull tab]
Ans
wer
B
Slide 18 / 234
5 What multiplication 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 =
Slide 18 (Answer) / 234
5 What multiplication 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 =
[This object is a pull tab]
Ans
wer
A
Slide 20 / 234
Arrays are rectangles made of organized rows and columns of objects 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
Slide 25 / 234
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
Slide 26 (Answer) / 234
6 Are the cats arranged in an array?
Yes
No
[This object is a pull tab]
Ans
wer
No
Slide 27 / 234
7 This is an array for what number?
Slide 27 (Answer) / 234
7 This is an array for what number?
[This object is a pull tab]
Ans
wer
12
Slide 28 / 234
8 Which array is a model for 3 x 2?
A the mice
B the frogs
C the flowers
D none of the above
Slide 28 (Answer) / 234
8 Which array is a model for 3 x 2?
A the mice
B the frogs
C the flowers
D none of the above
[This object is a pull tab]
Ans
wer
B
Slide 29 / 234
9 The multiplication number sentence for this array of shoes is 2 x 3.
True
False
Slide 29 (Answer) / 234
9 The multiplication number sentence for this array of shoes is 2 x 3.
True
False
[This object is a pull tab]
Ans
wer
False
Slide 30 / 234
10 What array is circled?
A 2 x 6
B 3 + 3 + 3
C 12 x 1
D 3 x 4
Slide 30 (Answer) / 234
10 What array is circled?
A 2 x 6
B 3 + 3 + 3
C 12 x 1
D 3 x 4
[This object is a pull tab]
Ans
wer
D
Slide 32 / 234
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?
Multiplying by 0
Slide 33 / 234
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
Multiplying by 0
Slide 35 / 234
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.
Multiplying by 1
Slide 36 / 234
Can you explain what happens every time a number is multiplied by 1?
This is called the Identity Property of Multiplication.
Multiplying by 1
Slide 37 / 234
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
Slide 40 (Answer) / 234
11 The answer to 10 x 0 is 10.
True
False
[This object is a pull tab]
Ans
wer
False
Slide 41 / 234
12 Sandra wants to buy prizes from the machines in front of 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
Slide 41 (Answer) / 234
12 Sandra wants to buy prizes from the machines in front of 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
[This object is a pull tab]
Ans
wer
B
Slide 42 / 234
13 What is the answer to any problem that involves multiplying by 0?
Slide 42 (Answer) / 234
13 What is the answer to any problem that involves multiplying by 0?
[This object is a pull tab]
Ans
wer
0
Slide 43 / 234
14 ) 6 x 1 is an example of the Identity Property?
Yes
No
Slide 43 (Answer) / 234
14 ) 6 x 1 is an example of the Identity Property?
Yes
No
[This object is a pull tab]
Ans
wer
Yes
Slide 44 / 234
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
Slide 44 (Answer) / 234
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
[This object is a pull tab]
Ans
wer
C
Slide 46 / 234
2 x 5 = 10Factor 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?
Multiplying by 2
Slide 47 / 234
Slide 48 / 234
Think of some words that mean 2. Click the numbers to reveal some.
Multiplying by 2
Slide 49 / 234
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.
Multiplying by 2
Slide 50 / 234
Slide 51 / 234
Click the pencil to play a game.
Multiplying by 2 Game
Slide 52 / 234
16 ) 2 x 0 = 2
True
False
Slide 52 (Answer) / 234
16 ) 2 x 0 = 2
True
False
[This object is a pull tab]
Ans
wer
False
Slide 53 / 234
17 If you were to double 4, what would be your answer?
A 2
B 4
C 6
D 8
Slide 53 (Answer) / 234
17 If you were to double 4, what would be your answer?
A 2
B 4
C 6
D 8
[This object is a pull tab]
Ans
wer
D
Slide 54 / 234
18 When you multiply a number by 2, the answer is always 2?
Yes
No
Slide 54 (Answer) / 234
18 When you multiply a number by 2, the answer is always 2?
Yes
No
[This object is a pull tab]
Ans
wer
No
Slide 55 / 234
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
Slide 55 (Answer) / 234
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 [This object is a pull tab]
Ans
wer
D
Slide 56 / 234
20 Which picture below shows an array where 2 was a factor?A peanuts
B flowers
C pigs
D none of the pictures
Slide 56 (Answer) / 234
20 Which picture below shows an array where 2 was a factor?A peanuts
B flowers
C pigs
D none of the pictures
[This object is a pull tab]
Ans
wer
D
Slide 58 / 234
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?
Multiplying by 5
Slide 59 / 234
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
Slide 61 / 234
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?
Multiplying by 5
Slide 62 / 234
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
Slide 64 (Answer) / 234
21 ) 9 x 5 = 40
True
False
[This object is a pull tab]
Ans
wer
False
Slide 65 / 234
22 What number besides 5, could be in the ones place of the multiples of 5?
Slide 65 (Answer) / 234
22 What number besides 5, could be in the ones place of the multiples of 5?
[This object is a pull tab]
Ans
wer
0
Slide 66 / 234
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
Slide 66 (Answer) / 234
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
[This object is a pull tab]
Ans
wer
20
Slide 67 / 234
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
Slide 67 (Answer) / 234
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
[This object is a pull tab]
Ans
wer
C
Slide 68 / 234
25 Does knowing the multiples of 5 help you tell time?
Yes
No
Slide 68 (Answer) / 234
25 Does knowing the multiples of 5 help you tell time?
Yes
No
[This object is a pull tab]
Ans
wer
Yes
Slide 69 / 234
26 If the big hand is on the 5, how many minutes past the hour is it?
12
3
4567
8
9
10
1211
Slide 69 (Answer) / 234
26 If the big hand is on the 5, how many minutes past the hour is it?
12
3
4567
8
9
10
1211
[This object is a pull tab]
Ans
wer
25 minutes
Slide 70 / 234
27 If the big hand is on the 2, how many minutes past the hour is it?
12
3
4567
8
9
10
1211
Slide 70 (Answer) / 234
27 If the big hand is on the 2, how many minutes past the hour is it?
12
3
4567
8
9
10
1211
[This object is a pull tab]
Ans
wer
10 minutes
Slide 71 / 234
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
Slide 71 (Answer) / 234
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
[This object is a pull tab]
Ans
wer
60 points
Slide 72 / 234
Reminder: Nickels are worth 5 cents.
Multiplying by 5
Slide 73 / 234
Four friends each have a nickel, what is the total amount of money they have?
4 groups of 5
4 x 5 = 20 centsclick
click
Multiplying by 5
Slide 74 / 234
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
Slide 74 (Answer) / 234
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
[This object is a pull tab]
Ans
wer
D
Slide 75 / 234
30 A piece of candy is five cents. If you buy 8 pieces, how much will it cost?
Slide 75 (Answer) / 234
30 A piece of candy is five cents. If you buy 8 pieces, how much will it cost?
[This object is a pull tab]
Ans
wer
40 cents
Slide 76 / 234
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?
Slide 76 (Answer) / 234
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?
[This object is a pull tab]
Ans
wer
15 cents
Slide 77 / 234
32 While cleaning out your dad's car you find 9 nickels. How many cents is this?
Slide 77 (Answer) / 234
32 While cleaning out your dad's car you find 9 nickels. How many cents is this?
[This object is a pull tab]
Ans
wer
45 cents
Slide 78 / 234
33 In your piggy bank you have 7 nickels. How many cents is this?
Slide 78 (Answer) / 234
33 In your piggy bank you have 7 nickels. How many cents is this?
[This object is a pull tab]
Ans
wer
35 cents
Slide 80 / 234
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
Slide 81 / 234
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 =
Multiplying by 10
Slide 82 / 234
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?
Multiplying by 10
Slide 83 / 234
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?
Multiplying by 10
Slide 84 / 234
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
Slide 87 / 234
34 Multiples of 10 have _____ in the ones place?
A 10
B 1
C 0
D Both B and C
Slide 87 (Answer) / 234
34 Multiples of 10 have _____ in the ones place?
A 10
B 1
C 0
D Both B and C
[This object is a pull tab]
Ans
wer
C
Slide 88 / 234
35 The product below is 10?
Yes
No
Slide 88 (Answer) / 234
35 The product below is 10?
Yes
No
[This object is a pull tab]
Ans
wer
No
Slide 89 / 234
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
Slide 89 (Answer) / 234
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
[This object is a pull tab]
Ans
wer
D
Slide 90 / 234
37 You charge $10 for raking leaves. If you rake 7 yards, how much money will you earn?
Slide 90 (Answer) / 234
37 You charge $10 for raking leaves. If you rake 7 yards, how much money will you earn?
[This object is a pull tab]
Ans
wer
$70
Slide 91 / 234
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
Slide 91 (Answer) / 234
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
[This object is a pull tab]
Ans
wer
C
Slide 92 / 234
39 While shopping you buy five new shirts. Each one is $10. How much did you spend?
Slide 92 (Answer) / 234
39 While shopping you buy five new shirts. Each one is $10. How much did you spend?
[This object is a pull tab]
Ans
wer
$50
Slide 93 / 234
40 You can use the rule for 10 for numbers larger than 10. (for example, 13 x 10)
True
False
Slide 93 (Answer) / 234
40 You can use the rule for 10 for numbers larger than 10. (for example, 13 x 10)
True
False
[This object is a pull tab]
Ans
wer
True
Slide 94 / 234
41 What is 21 x 10?
Slide 94 (Answer) / 234
41 What is 21 x 10?
[This object is a pull tab]
Ans
wer
210
Slide 95 / 234
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
Slide 95 (Answer) / 234
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
[This object is a pull tab]
Ans
wer
C,E
Slide 96 / 234
43 ) 3 x 80 =
From PARCC EOY sample test #36
Slide 96 (Answer) / 234
43 ) 3 x 80 =
From PARCC EOY sample test #36
[This object is a pull tab]
Ans
wer
240
Slide 98 / 234
Multiplication Table
Slide 98 (Answer) / 234
Multiplication Table
Teac
her N
otes
[This object is a teacher notes pull tab]
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 out. The facts that are left, are ones that the children should focus on ( i.e. play games, make flash cards, etc.).
Slide 100 / 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
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
Teac
her N
otes
[This object is a teacher notes pull tab]
The circles and pigs are
infinitely cloned.
Slide 101 / 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
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
Teac
her N
otes
[This object is a teacher notes pull tab]
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.
Slide 102 / 234
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
Slide 104 / 234
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
Slide 105 (Answer) / 234
44 The products of multiplication problems with 3 in them are all odd.
True
False
[This object is a pull tab]
Ans
wer
False
Slide 106 / 234
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
Slide 106 (Answer) / 234
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
[This object is a pull tab]
Ans
wer
B
Slide 107 / 234
46 What number was 3 multiplied by to make the array below?
A 3
B 12
C 4
D 15
Slide 107 (Answer) / 234
46 What number was 3 multiplied by to make the array below?
A 3
B 12
C 4
D 15
[This object is a pull tab]
Ans
wer
C
Slide 108 / 234
47 Can a 3 times table have even numbers as products?
YesNo
Factors
x3
1 2 3 4 5 6 7 8 9 10
Slide 108 (Answer) / 234
47 Can a 3 times table have even numbers as products?
YesNo
Factors
x3
1 2 3 4 5 6 7 8 9 10[This object is a pull tab]
Ans
wer
Yes
Slide 109 / 234
48 What is 3 x 8?
Slide 109 (Answer) / 234
48 What is 3 x 8?
[This object is a pull tab]
Ans
wer
24
Slide 110 / 234
Slide 110 (Answer) / 234
Slide 112 / 234
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
Slide 112 (Answer) / 234
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
Teac
her N
otes
[This object is a teacher notes pull tab]
The circles and quarters are
infinitely cloned.
Slide 113 / 234
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
Slide 115 / 234
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
Slide 119 (Answer) / 234
50 The products of multiplication problems with 4 in them are all odd.
True
False
[This object is a pull tab]
Ans
wer
False
Slide 120 / 234
51 What is 4 x 8?
Slide 120 (Answer) / 234
51 What is 4 x 8?
[This object is a pull tab]
Ans
wer
32
Slide 121 / 234
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
Slide 121 (Answer) / 234
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
[This object is a pull tab]
Ans
wer
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]
Ans
wer
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]
Ans
wer
Yes
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
Teac
her N
otes
[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
o x12 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
o x12 6 18
24 30 36
6 12 30
6
Multiplication by 6 Game
Teac
her N
otes
[This object is a teacher notes pull tab]
Directions: choose 2 volunteers to play or 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]
Ans
wer
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]
Ans
wer
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]
Ans
wer
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]
Ans
wer
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]
Ans
wer
48
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
Teac
her N
otes
[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]
Ans
wer
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]
Ans
wer
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]
Ans
wer
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]
Ans
wer
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]
Ans
wer
56
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
Teac
her N
otes
[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]
Ans
wer
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]
Ans
wer
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]
Ans
wer
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]
Ans
wer
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]
Ans
wer
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]
Ans
wer
A,D
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
Teac
her N
otes
[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]
Ans
wer
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]
Ans
wer
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]
Ans
wer
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]
Ans
wer
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]
Ans
wer
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]
Ans
wer
36 model cars
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]
Ans
wer
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]
Ans
wer
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]
Ans
wer
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]
Ans
wer
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 of 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 of 3 units.
How many unit squares would you need to cover the area of the square?
unit square
Area
Teac
her N
otes
[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
Teac
her N
otes
[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]
Ans
wer
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]
Ans
wer
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]
Ans
wer
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]
Ans
wer
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.
or
or
lengthwidth
baseheight
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
Teac
her N
otes
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]
Ans
wer
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]
Ans
wer
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]
Ans
wer
1
Slide 196 / 234
On grid paper, make a rectangle that has sides of 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 of 3 units by 2 units.
How many unit squares would you need to cover the rectangle? unit square
Area of Rectangles
Teac
her N
otes
[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 of 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 of 3 units by 6 units.
How many unit squares would you need to cover the rectangle?
unit square
Area of Rectangles
Teac
her N
otes
[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 of 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 of 4 units by 5 units.
How many unit squares would you need to cover the rectangle?
unit square
Area of Rectangles
Teac
her N
otes
[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 of 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 of 5 units by 3 units.
How many unit squares would you need to cover the rectangle?
unit square
Area of Rectangles
Teac
her N
otes
[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.
or
or
length
width
baseheight
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
RectangleLength
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
Teac
her N
otes
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 our 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]
Ans
wer
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]
Ans
wer
18
Slide 208 / 234
90 Look at the shaded rectangles below. Which area would you drag to label below Rectangle Number 3?
ABCD
6 feet
4 feet 4 feet
7 feet9 feet
3 feet1 2 3
From PARCC EOY sample test #19
20 square feet24 square feet27 square feet28 square feet
Slide 208 (Answer) / 234
90 Look at the shaded rectangles below. Which area would you drag to label below Rectangle Number 3?
ABCD
6 feet
4 feet 4 feet
7 feet9 feet
3 feet1 2 3
From PARCC EOY sample test #19
20 square feet24 square feet27 square feet28 square feet
Teac
her N
otes
[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 of Rectangle Number 3 into their responders.
C
Slide 209 / 234
91 If a rectangle has side length of 7 and a side width of 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 of 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]
Ans
wer
21
Slide 210 / 234
92 If a rectangle has side length of 5 and a side width of 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 of 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]
Ans
wer
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]
Ans
wer
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]
Ans
wer
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]
Ans
wer
C
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]
Ans
wer
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]
Ans
wer
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]
Ans
wer
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]
Ans
wer
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]
Ans
wer
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]
Ans
wer
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]
Ans
wer
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]
Ans
wer
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]
Ans
wer
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
[This object is a pull tab]
Ans
wer
8
Slide 226 / 234
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?
Slide 226 (Answer) / 234
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?
[This object is a pull tab]
Ans
wer
9 yards
Slide 227 / 234
107 Ken draws a rectangle with an area of 35-square inches. The width of the rectangle is 5 inches. What is the length of Ken's rectangle?
From PARCC EOY sample test #27
Slide 227 (Answer) / 234
107 Ken draws a rectangle with an area of 35-square inches. The width of the rectangle is 5 inches. What is the length of Ken's rectangle?
From PARCC EOY sample test #27
[This object is a pull tab]
Ans
wer
7 inches
Slide 228 / 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
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
[This object is a pull tab]
Ans
wer
B
Slide 229 / 234
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
Slide 229 (Answer) / 234
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
[This object is a pull tab]
Ans
wer
B, D
Slide 230 / 234
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
Slide 230 (Answer) / 234
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
[This object is a pull tab]
Ans
wer
C
Slide 231 / 234
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.
Slide 231 (Answer) / 234
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.
[This object is a pull tab]
Ans
wer
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."
Slide 232 / 234
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 of 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
Slide 232 (Answer) / 234
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 of 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
[This object is a pull tab]
Ans
wer
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.
Slide 233 / 234
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
Slide 233 (Answer) / 234
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
[This object is a pull tab]
Ans
wer Modeling component:
Student shades a 6 x 7 array.
Slide 234 / 234
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
Slide 234 (Answer) / 234
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
[This object is a pull tab]
Ans
wer
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.