Models and Arrays
Create an array for the following expression:
4 x 5
☆ ☆ ☆ ☆ ☆
☆ ☆ ☆ ☆ ☆
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What is a prime number? Give three examples.
A whole number whose only factors are 1 and itself.
ex. 2, 3, 5, 7, 11, 13, 17, 19, 23, 29
A blue hat costs $6. A red hat costs 3 times as much as a blue hat. How much does a red hat cost?
$18
6 x 3 = 18
Find the product of 12 x 7
12 x 7 = 84
Use repeated addition to solve 16 x 6
16 + 16 = 32
16 + 16 = 32
16 + 16 = 32
32 + 32 + 32 = 96
Write a multiplication sentence for the following array:
✿ ✿ ✿ ✿ ✿ ✿ ✿ ✿ ✿
✿ ✿ ✿ ✿ ✿ ✿ ✿ ✿ ✿
✿ ✿ ✿ ✿ ✿ ✿ ✿ ✿ ✿
3 x 9 = 27
9 x 3 = 27
Is the number 8 composite or prime? Explain your answer.
The number 8 is composite because it has more factors than just 1 and itself.
1, 2, 4, and 8 are all factors.
Select all statements related to 5 x 4 = 20
a. 20 is 5 times as many as 4
b. 4 + 4 + 4 + 4 + 4
c. 5 + 5 + 5 + 5 +5
d. 20 is 4 times as many as 5
a, b, d
Find the product of 22 x 14
22 x 14 = 308
Mason has 12 packs of baseball cards. There are 34 cards in each pack.
Use partial products to complete the box model and determine how many pieces of candy Mason has.
30 4
10 300 40
2 60 8
300 + 40 + 60 + 8 = 408
Design two different arrays for the number 12. Write the expression for each.
♢ ♢ ♢ ♢ ♢ ♢ ♢ ♢ ♢
♢ ♢ ♢ ♢ ♢ ♢ ♢ ♢ ♢
♢ ♢ ♢ 2 x 6 = 12
♢ ♢ ♢
4 x 3 = 12
Give 2 odd numbers that are composite.
9, 15, 21, 25, 27, 33, 35, 39, 45, 49, etc.
Rita has 4 packs of 7 pencils. Jason has 3 times as many pencils as Rita. How many pencils does Rita have? How many pencils does Jason have?
Rita has 4 x 7 = 28 pencils
Jason has 28 x 3 = 84 pencils
Casey bought 6 boxes of 24 crayons. How many crayons does he have all together?
6 x 24 = 144
Show two ways to solve 520 x 5
500 x 5 = 2,500
20 x 5 = 100
2,500 + 100 = 2,600
OR
Regular algorithm
There are 21 slices of pizza. 7 people want to share it equally. Draw a part-part-whole diagram to show how many slices each person gets.
|----------- 21------------|
{3}{3}{3}{3}{3}{3}{3}
21 is your whole. You have 7 parts. Each part equals 3.
Name four consecutive multiples of 7.
7, 14, 21, 28, 35, 42, 49, etc.
A group of friends played a basketball game. Gary scored 12 points. Alyssa scored 8 points. Jesse scored 3 points. Cassie scored 4 points.
Write two different comparison statements.
Gary scored 3 times as many points as Cassie.
Gary scored 4 times as many points as Jesse.
Alyssa scored 2 times as many points as Cassie.
Solve 943 x 3
Answer = 2,829
Show two ways to solve the following problem:
1,135 x 4
Estimation, partial products, regular algorithm, repeated addition, etc.
Answer = 4, 540
Sarah buys 4 boxes of crayons. There are 24 crayons in each box. Draw a part-part-whole diagram and write a number sentence showing how many total crayons Sarah has.
|---total number of crayons---|
{ 24 }{ 24 }{ 24 }{ 24 }
4 x 24 = 96
List all the factors of the number 24.
1 and 24
2 and 12
3 and 8
4 and 6
Gina and her brother Shawn are saving money to go to an amusement park. This month, Gina saved three times as much as she saved last month and Shawn saved twice as much as he saved last month. Last month, Gina saved $12 and Shawn saved $10. How much do they have saved all together?
Shawn saved 2 x 10 = $20
36 + 20 = $56
Alex made $14 every day for 19 days.
Then, he got a raise. He made $22 every day for 40 days.
He wants to buy a new phone for $1,000. Does he have enough money?
14 x 19 = 266
22 x 40 = 880
266 + 880 = $1,146
Yes, Alex has enough money to buy a new phone.
Find the product of 33 x 61.
Give an estimate and give the exact answer.
Estimate:
30 x 60 = 1,800
Exact Answer:
33 x 61 = 2,013