Illustrate Multiplication Through Arrays & Area Models
Problem-Solving Using Multiplication
Comparisons Using Multiplication & Ratio Tables
Expressing The Place Values of Numbers
Division Problem-solving
Prime & Composite Numbers
100
6
9
The area model above has 9 rows of 6 columns. What is the total (area) of this model?
The area of the model is 54.
9 x 6 = 54
100
The equation 30 x 6 = 180 can mean:
A. 30 hats and 6 hats together are 180 hats
B. 180 hats are 6 times the 30 hats in the closet
C. 6 hats divided into 30 groups is 180 hats
D. The difference between 6 hats and 30 hats is 180.
B. 180 hats are 6 times the 30 hats in the closet.
100
Mr. Gerry's head is four times rounder than the football. The football is 14 centimeters round. How round is Mr. Gerry's head?
4 x 14 = 56
Mr. Gerry's head is 56 cm round.
100
Express the value 24,683 in expanded form.
20,000 + 4,000 + 600 + 80 + 3
100
Mr. Tristan had 9 samosas. He wanted to share them with Ms. Eden and himself. How many samosas will each person get?
Each person will get 4.5 samosas.
9 / 2 = 4 r 1
The remaining samosa can get cut in half for each person (Eat it!)
100
1 x 25 = 25
5 x 5 = 25
Based on the information above, is 25 a prime or composite number?
Composite number
200
This rectangular array has 5 rows of plums and ??? number of plums in each column. The total number of plums is 150. How many plums are in each column?
There are 30 plums in each column of the array.
5 x 30 = 150
200
Jimmy has 36 pencils. Sally says, "Jimmy has four times as many pencils as I do!" Which equation could represent the number of pencils Sally has? (Note: p stands for pencils)
36 x 4 = p 36 x p = 28
4 x 36 = p 4 x p = 36
4 x p = 36
200
What is the pattern (rule) of the ratio table? What multiplication amount is it increasing by?
Pattern: x 7
It is increasing by seven times each.
200
Write 16 tens in standard form.
16 x 10 = 160
160
200
Ms. Chantelle wants to place equal amounts of chairs at each of the four tables. She has 13 chairs to place out among the tables. How many chair(s) will be left over?
One chair will be left over.
13 / 4 = 3 r 1
The remaining chair is left over (Use it!)
200
What is the only even, prime number?
2
300
The area model has a total area of 400. It is made up of 10 rows. How many are in each of the 10 rows?
There are 40 in each of the 10 rows.
10 x 40 = 400
300
Farmer Bob is building a new garden for his flowers. He wants the flowers in equal rows and columns. He planted 6 columns of 12 flowers. What is the total number of flowers in the garden?
6 x 12 = 72
Farmer Bob has a total of 72 flowers in his garden.
300
Based on the given table, how much does 8 items cost?
Rule of the table: x5
8 items x $5 each = $40
Eight items cost $40.
300
Bobbi states that 3,475 has four hundreds. Billy says you can also say it has 34 hundreds. Explain why Billy is correct.
There are 10 hundreds in a thousand. So, 30 hundreds equals 3 thousand. There is 4 hundred in the hundred's place.
300
11 students were headed to the airport. The taxis can hold 3 persons per ride. How many of the taxis taking the students to the airport will be full?
3 taxis will be full.
11 / 3 = 3 r 2
To identify the full taxis you can ignore the remainder.
300
Which of the following numbers is composite?
11
43
24
7
24
12 x 2 = 24
8 x 3 = 24
6 x 4 = 24
400
Create a distributed area model to illustrate 16 x 8
The area model should show 16 distributes (broken apart) into friendly numbers such as half (8 & 8) or (10 & 6)
16 x 8 = (10 x 8) + (6 x 8)
16 x 8 = 80 + 48
16 x 8 = 128
OR
16 x 8 = (8 x 8) + (8 x 8)
16 x 8 = 64 + 64
16 x 8 = 128
400
Peter keeps his comic books in containers. He has 3 containers that have 6 comic books each. Peter's sister Elizabeth has 10 times as many comic books as Peter. Which multi-step equation is used to find out how many comic books Elizabeth has? How many comic books does Elizabeth have?
(3 x 6) x 10
3 x 6 = 18
18 x 10 = 180
Elizabeth has 180 comic books.
400
Sally has 100 books on her bookshelf. She has 5 times more books than Sam. How many books does Sam have?
Sam has 20 books.
100 / 5 = 20
400
Eighteen hundreds has how many thousand(s)?
One thousand
1,800 = 1,000 + 800
400
Ms. Eden had 7 tomatoes. She want to share them equally with Ms. Minda. Which equation can NOT show the number of tomatoes that each person will get?
A) 7 / 2 = 3 r 1
B) 7 / 2 = 3.5
C) 7 / 2 = $3.50
C) 7 / 2 = $3.50
The story does NOT refer to money.
400
5 x 6 = 30 Explain why this equation proves that 30 is a composite number.
30 is composite because it has more factors other than 1 and 30. It has 2, 5, 6, and 15 besides 1 and 30.
500
Fill in the areas of the distributed area model. What is the original multiplication equation?
10 x 10 = 100
10 x 7 = 70
10 x 5 = 50
7 x 5 = 35
17 x 15 = 255
500
Mr. Gerry has 4 boxes that each have 12 bottles in them. He decides to give all his bottles equally to Bob and Bill the gardeners. They will make pretty flower displays with them. What multi-step equation do you need to use to find out how many bottles Mr. Gerry will give to each farmer? How many bottles will each farmer get?
Multi-step equation: 4 x 12 / 2
Steps to Solve:
4 x 12 = 48
48 / 2 = 24
Each farmer will get 24 bottles each.
500
1 4 ? 10 12
_____________
3 12 21 30 ?
What are the missing values (?) in the above ratio table?
Top Row: 3
Bottom Row: 36
500
Ms. Eden says there are 7 tens in 3,872. Ato Yosef says there are 72 ones in the number. Ms. Hiwot says they are both correct. Explain.
3,872 = 3,000 + 800 + 70 + 2
10 ones = 1 ten, so 70 ones = 7 tens
500
Carol and her six friends took a boat ride to the vacation island. Each boat can hold two people. How many boats did they need to get Carol and her friends to the island?
4 boats
7 / 2 = 3 r 1
They need a fourth boat (Add it!) to get everyone to the island.
500
Name two numbers between 10 and 20 that are prime.
Possible answers: 11, 13, 17, and 19