Mastering Multiplication of Fractions and Whole Numbers

This video tutorial covers how to multiply fractions by whole numbers. It begins with an introduction to the concept, followed by a review of multiplication as repeated addition and key vocabulary. The tutorial explains unit fractions and their significance, explores multiples using number lines, and demonstrates how to add fractions while maintaining the same denominator. It also covers decomposing fractions into unit fractions and using multiplication to create equivalent equations. By the end, viewers should understand how to multiply fractions by whole numbers and express them in various forms.

What are the three objectives of learning to multiply fractions by whole numbers?

• Write a fraction as a multiple of a unit fraction, use a model to find the product, and find equivalent equations.

• Write a fraction as a difference of whole numbers, use a model to find the difference, and find equivalent differences.

• Write a fraction as a sum of whole numbers, use a model to find the sum, and find equivalent sums.

• Write a fraction as a product of whole numbers, use a model to find the product, and find equivalent products.

What is the term used to describe the numbers being multiplied together in a multiplication problem?

• Addends

• Factors

• Products

• Multiples

What is a unit fraction?

• A fraction where the numerator is 1.

• A fraction where the numerator and denominator are equal.

• A fraction where the numerator is greater than the denominator.

• A fraction where the denominator is 1.

How do you find multiples of a number?

• By subtracting the number from itself repeatedly.

• By dividing the number by 2.

• By multiplying the number by 1.

• By adding the number to itself repeatedly.

When adding fractions, what stays the same?

• Neither the numerator nor the denominator

• Both the numerator and the denominator

• The denominator

• The numerator

What does it mean to decompose a fraction?

• To divide the fraction by a whole number.

• To break the fraction into its unit fractions.

• To multiply the fraction by a whole number.

• To add the fraction to another fraction.

How can you show 4/5 using multiplication?

• 5 times 1/4

• 4 times 5

• 1/5 times 5

• 4 times 1/5

What is the third multiple of 1/8?

• 4/8

• 1/8

• 3/8

• 2/8

How can you show 10/8 using multiplication?

• 5 times 2/8

• 2 times 5/8

• 10 times 1/8

• All of the above

What should you be able to do after learning to multiply fractions by whole numbers?

• Find equivalent equations for your product

• All of the above

• Use models to find the product of a fraction and a whole number

• Write a fraction as a multiple of a unit fraction