Factors & Multiples
List the first 5 factors of 4
4, 8, 12, 16, 20
46 x 7 =
322
What is the formula we use to find the area of a rectangle?
Length x Width = Area
Arlo creates a pattern starting at the number 4. He uses the rule: add 4. Write the first 6 terms in the pattern.
4, 8, 12, 16, 20, 24
What is the mistake? How do you know?
Joe solved 9 x 34 below. What is his mistake? What should his answer be?
9 x 34 = 9 x (3+4)
= (9 x 3) + (9 x 4)
= ( 27 ) + ( 36 )
= 63
When Joe decomposed the number he separated 34 into 3 + 4 instead of 30 + 4. His actual answer should be 306.
9 x 34 = 9 x ( 30 + 4 )
= (9 x 30) + (9 x 4)
= ( 270 ) + ( 36 )
= 306
List the factors of 21 and state whether it is PRIME or COMPOSITE
1, 3, 7, 21
162 ÷ 3 =
54
What is the formula we use to find the perimeter of a rectangle?
Length + Length + Width + Width
OR
(2 x Length) + (2 x Width)
Liz starts at the number 3. She creates a pattern using the rule: Add 3. Complete the first six terms in Liz's pattern.
Will the 80th term in Liz's pattern be even or odd? Explain how you know.
3, 6, 9, 12, 15, 18
The 80th term will be even. All even terms are even numbers, and 80 is an even term.
Carlos solved 7 x 48 below. What is his mistake? What should his answer be?
7 x 48 = 7 x (40+8)
= (7 x 40) + (7 x 8)
= ( 280 ) + ( 49 )
= 329
When Carlos multiplied 7 x 8 incorrectly. His product should've been 56, not 49. His actual answer should be 306.
7 x 48 = 7 x (40+8)
= (7 x 40) + (7 x 8)
= ( 280 ) + ( 56 )
= 336
Which numbers are multiples of 6? Choose the 3 correct answers.
2
3
12
18
9
120
12
18
120
Which expression can be used to find 296 ÷ 4?
a. (28 ÷ 4) + (16 ÷ 4)
b. (280 ÷ 4) + (16 ÷ 4)
c. (290 ÷ 4) + (16 ÷ 4)
d. (296 ÷ 3) + (296 ÷ 1)
B. (280 ÷ 4) + (16 ÷ 4)
If the length of a rectangle is 20 ft. and the width is 8 ft., what is the area and perimeter of the rectangle? LABEL CORRECTLY
Perimeter= 8 + 8 + 20 + 20 = 56 feet
Input Output
1 9
2 ?
3 27
4 ?
5 ?
Complete the missing numbers and write the pattern (rule)
Output: 18, 36, 45
Multiply the input by 9
Find the error in Claire's reasoning and find the correct answer. (Claire's thinking is in italics)
The width of the rectangle is 6 cm. The length is 4 cm times as long as the width. What is the perimeter of the rectangle?
To find the perimeter I need to add all the sides together. I know the width is 6 and the length is 4. 6+6+4+4 or (2x6) + (2x4) = 20. The perimeter is 20 cm.
Claire didn't find the length of the rectangle correctly. The problem says it is 4 TIMES as along as the width, so she needed to do 4 x 6 to find the length. The actual length of the rectangle is 24. She should have done 6 + 6 + 24 + 24 OR (2 x 6) + (2 x 24).
The perimeter is 60 cm.
Is 78 a multiple of 6? Explain why or why not.
Yes.
6x13=78
Draw an area model to solve 9 x 43
___ 40_______+____3____
9 |______360______|____27___|
360 + 27 = 387
A rectangle has a length of 12in and a width of 6in. What is the area and perimeter of the rectangle? LABEL CORRECTLY
Area= 72 square inches
Perimeter = 36 inches
Fill in the missing numbers and write the pattern.
Input: 12, 16, 20, 40
Output: 3, ?, 5, ?
4, 10
Divide the input by 4
Find the error in Bob's reasoning and find the correct answer. (Bob's thinking is in italics)
The width of the rectangle is 7 cm. The length is 5 times as long as the width. What is the area of the rectangle?
To find the area I need to multiply the length by the width. The width of the rectangle is 7 cm. The length is 5 times as long or 7x5, so the length is 35 cm. I have to do 7 x 35 to find the area.
7 x 35 = 7 x (3 + 5)
= (7 x 3 ) + (7 x 5)
= ( 21 ) + ( 35 )
= 56 centimeters squared
When Bob decomposed the number to multiply separated 35 into 3 + 5 instead of 30 + 5. His actual answer should be 306.
7 x 35 = 7 x ( 30 + 5 )
= (7 x 30) + (7 x 5)
= ( 210 ) + ( 35 )
= 245 centimeters squared
Define PRIME and COMPOSITE using math terms. Give an example of a prime number and a composite number.
A prime number only has two factors- 1 and itself. For example, 3.
A composite number has more than two factors. For example, 8.
426 x 8
642 ÷ 3
426 x 8 = 3408
642 ÷ 3 = 214
The area of a rectangle is 90 square feet.
The width is 6 feet.
What is the length?
15 feet
The shape pattern is as follows:
Triangle, Square, Rectangle, Triangle, Square, Rectangle
If the pattern continues, what shape will be the 10th term?
What shape will be the 54th term?
10th- Triangle
54th- Rectangle
Since 3 is a factor of 54 and there are 3 terms in the pattern, it will be the last term which is a rectangle.
What is Carla's mistake to the following multiple choice question: (Carla's answers are in italics.)
What expressions are equal to 160? Select three correct answers.
a. 2 x 800
b. 2 x 8 x 10
c. 16 x 10
d. 20 x 80
e. 4 x 40
f. 40 x 40
Claire only chose 2 answers. She also needed to choose option B.
a. 2 x 800
b. 2 x 8 x 10
c. 16 x 10
d. 20 x 80
e. 4 x 40
f. 40 x 40