Exploring Multiplication Comparisons with Bar Models

This video tutorial covers multiplication comparisons using bar models and variables in algebra. It explains the commutative property, differentiates between additive and multiplicative comparisons, and applies these concepts to real-world problems. The tutorial also demonstrates how to use drawings to model multiplication and concludes with encouragement for students.

What does the commutative property of multiplication state?

• You can add two numbers in any order and get the same sum.

• You can multiply two factors in any order and get the same product.

• You can subtract two numbers in any order and get the same difference.

• You can divide two numbers in any order and get the same quotient.

If Emma has 2 pencils and Tim has 4 times as many, how many pencils does Tim have?

• 6

• 10

• 8

• 12

Which letter is typically not used as a variable in algebra due to potential confusion?

• o

• x

• p

• n

What is an example of an additive comparison?

• 12 is 3 more than 9

• 12 is 3 times more than 4

• 12 is 2 times more than 6

• 12 is 4 times more than 3

Bob grew 28 tomatoes, which is 4 times as many as Dave. How many tomatoes did Dave grow?

• 5

• 8

• 6

• 7

Mr. Lee sold 9 apples and twice as many bananas. How many bananas did he sell?

• 18

• 22

• 20

• 16

At the end of the week, Mr. Lee sold 3 times as many apples and 4 times as many bananas as he did on Monday. If he sold 6 apples and 5 bananas on Monday, how many apples and bananas did he sell by the end of the week?

• 38

• 30

• 32

• 34

Sarah made 3 bracelets, Emma made 5, and Tala made twice as many as Sarah and Emma combined. How many bracelets did Tala make?

• 16

• 15

• 17

• 14

If Chris has 3 hats and Tim has 4 times as many, how many hats does Tim have?

• 10

• 13

• 12

• 11

What does a bar model represent in multiplication comparisons?

• The difference between two numbers

• The quotient of two numbers

• The total sum of two numbers

• How many times as many one quantity is compared to another