Topic 8: Apply Understanding of Multiplication to Multiply Fractions

Converting Fractions Review

Use these videos to review how to convert mixed numbers and improper fractions.

If you need a more in-depth video about one direction of the conversions, you can use the following videos:

Convert a Mixed Number to an Improper Fraction

Convert an Improper fraction to a Mixed Number

Lesson 1: Multiply a Fraction by a Whole Number

In this lesson we multiplied a fraction by a whole number. We thought of the problem as multiple fractional amounts, or repeatedly adding fractions.

Language: Write missing numbers in addition and multiplication equations to find products.

Helpful Videos:

Lesson 2: Multiply a Whole Number by a Fraction

In this lesson we multiplied a whole number by a fraction. We thought of the problem as finding a fractional amount of a whole number.

Language: Use and draw models to explain how to multiply a whole number by a fraction.

Helpful Videos:

Lesson 3: Multiply Fractions and Whole Numbers

In this lesson we used our previously acquired skills to multiply fractions and whole numbers in any order, paying close attention to the wording of problems.

Language: Tell when to write products as mixed numbers when multiplying fractions and whole numbers.

Helpful Videos:

Skill: Cross-Simplifying Fractions

Moving forward, a great skill to know is how to cross-simplify fractions. This means that we use what we know about multiplying numerators and denominators to simplify fractions before solving so that we can use smaller numbers.

Helpful Videos:

Lesson 4: Use Models to Multiply Two Fractions

In this lesson we used models to multiply two fractions, learning that we are finding a fractional amount of a fractional amount (relate to lesson 4-5: Use Models to Multiply a Decimal and a Decimal)

Language: Explain how to multiply two fractions, using different models such as number lines and area models.

Helpful Videos:

Lesson 5: Multiply Two Fractions

In this lesson we used the standard method to multiply two fractions.

Language: Follow steps to multiply two fractions.

Helpful Videos:

Multiplying Fractions | Math Antics (5:41)
How to Multiply Two Fractions | Math with Mr. J (3:26)

Lesson 6: Area of a Rectangle

In this lesson we found the area of a rectangle using fractions and diagrams.

Language: Read side lengths in diagrams and word problems that are needed to find area.

Helpful Videos:

Lesson 7: Multiply Mixed Numbers

In this lesson we used models, equations, and previously learned strategies to multiply mixed numbers.

Language: Write to complete equations and multiply mixed numbers.

Helpful Videos:

Lesson 8: Multiplication as Scaling

In this lesson we compared the size of the product to the size of one factor without multiplying to consider multiplication as scaling. We asked ourselves, will our product be bigger or smaller than where we started, and how do we know?

Language: Use comparative language (is greater than, is less than, is equal to,>,<,=, greatest, least) to compare products.

Helpful Videos:

Understand Multiplication as Scaling | Ms. Beutl (5:23)
Scaling with Fractions | Heidi Clark (13:30)
Multiplication as Scaling | Math with Mr. J (5:58)

Lesson 9: Problem Solving: Make Sense and Persevere

In this lesson we used previously learned knowledge to make sense of problems and persevere in solving them.

Language: Explain the steps needed to solve word problems.

Helpful Videos:

Math Topic 8-9 Problem Solving: Make Sense and Persevere | enVision Math (2:18)