Understanding Division and Fact Families

The video explores the inverse relationship between multiplication and division, focusing on fractions. It introduces fact families as a tool to understand this relationship and demonstrates how to apply it to fractions using models. The video also addresses common misconceptions about fact families and their applicability beyond basic arithmetic, showing how they can be used with fractions to solve problems and verify solutions.

How are fractions related to division?

• Fractions are a type of multiplication.

• Fractions are only used in addition.

• Fractions are another way to represent division.

• Fractions are unrelated to division.

What is a fact family?

• A set of related facts using the same numbers and inverse operations.

• A family of numbers that only use addition.

• A collection of numbers that form a pattern.

• A group of unrelated numbers.

Which operations are considered inverse operations?

• Subtraction and division

• Multiplication and division

• Addition and division

• Addition and multiplication

Can fact families be used with fractions?

• Only in advanced mathematics.

• Only in basic arithmetic.

• Yes, they can be used with fractions.

• No, they are only for whole numbers.

What is the result of dividing 5 by 8 using a tape model?

• 8

• 1/8

• 5

• 5/8

What does the tape model help illustrate in the division problem?

• The size of each piece

• The total number of pieces

• The color of the tape

• The relationship between the dividend and divisor

What is the purpose of using a tape model in fraction division?

• To visually represent the division process

• To make the problem more colorful

• To confuse the students

• To avoid using numbers

How can you verify the division of 5 by 8 using multiplication?

• By multiplying 5 by 8

• By multiplying 5/8 by 8

• By dividing 8 by 5

• By adding 5 and 8

What is the final step in completing the fact family for 5 divided by 8?

• Dividing 5 by 5/8

• Subtracting 8 from 5

• Adding 5 and 8

• Multiplying 5 by 8

How many 5/8 size pieces are in 5?

• 12

• 10

• 8

• 5