Understanding Division and Multiplication of Fractions

Mrs. Cutting guides students through lesson six, focusing on using diagrams to find the number of groups in division problems. The lesson includes examples of dividing numbers into groups using tape diagrams and writing corresponding multiplication and division equations. Students are encouraged to pause the video to solve problems and draw diagrams, with the option to use graph paper for better visualization. The lesson covers various examples, including dividing whole numbers by fractions and vice versa, to help students understand the concept of grouping in division.

What is the main focus of Lesson 6?

• Using diagrams to find a number of groups

• Solving algebraic equations

• Understanding fractions

• Learning about geometry

How many groups of 2.5 are in 10 according to the tape diagram?

• 3

• 6

• 4

• 5

When dividing 7 by 2 using a tape diagram, what is the result?

• 3

• 4

• 2

• 3.5

What does Andre's tape diagram show for the division of 1 by 2/3?

• 1 full group and 1/2 of another

• 2 full groups

• 1 full group and 1/3 of another

• 3 full groups

What is the division equation for finding how many 3/4 are in 1?

• 1 divided by 3/4 equals 1 and 1/3

• 1 divided by 3/4 equals 1 and 1/2

• 1 divided by 3/4 equals 1 and 1/4

• 1 divided by 3/4 equals 2

How many groups of 2/3 are in 3 according to the tape diagram?

• 5

• 4.5

• 3

• 4

What is the multiplication equation for 3 divided by 2/3?

• 2/3 times 4 equals 3

• 2/3 times 4.5 equals 3

• 2/3 times 5 equals 3

• 2/3 times 3 equals 3

How many groups of 3/2 are in 5 according to the tape diagram?

• 4

• 3.33

• 3.5

• 3

What is the division equation for finding how many 3/2 are in 5?

• 5 divided by 3/2 equals 3 and 1/2

• 5 divided by 3/2 equals 4 and 1/3

• 5 divided by 3/2 equals 3 and 1/3

• 5 divided by 3/2 equals 4

What is the multiplication equation for 5 divided by 3/2?

• 3/2 times 3 equals 5

• 3/2 times 4 equals 5

• 3/2 times 3.5 equals 5

• 3/2 times 3.33 equals 5