# Decimal and Fraction-- Multiplication and Division

**Multiplication and Division of Fractions and Decimal Fractions**

Menu of items to help you with this module

**Strategies:**

area model- video illustrating area model to multiple fractions

area model- video illustrating area model to divide fractions

number line- Click on the words number line to access a video that demonstrates how to use a number line for division with fractions (LZ3587)

tape diagram- fraction multiplication

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**Vocabulary:** (printable vocabulary cards can be downloaded by clicking on file at the bottom of this page)

numerator

denominator

equation

equivalent fractions

expresskon

factor

line plot

mixed number

quotient

unit fraction

Videos for each lesson can be found at this site. Click on the correct module tab along the top, then click on the lesson.

**Topic A**: Line Plots of Fraction Measurements

Lesson 1: Measure, compare, and analyze data

Learnzillion video: Line plots (LZ 3455)

**Topic B**: Fractions as Division

Lesson 2 and 3: Interpret a fraction as division

Learn zillion video: Model: Dividing a whole number where the quotient is a fraction (LZ3588)

Lesson 4: Use tape diagrams to model fractions as division

Practice problems and video (scroll down to 5.NF.B.3 and click on understanding fractions as division)

Lesson 5: Word problems- division of whole numbers with quotient as a fraction or whole number

**Topic C**: Multiplication of a Whole Number by a Fraction

Pencast of a visual model of whole number x fraction multiplication

Lesson 6: Fractions as division related to fractions of a set

Video: Understanding fractions as division

Lesson 7: Multiply fraction by whole number- tape diagram

Video: Using a tape diagram to multiply a fraction by a whole number

Lesson 8: Repeated addition as related to multiplication of fractions

Video: Using repeated addition to multiply fractions

Lesson 9: Find fraction of a measurement- word problems

Videos:

**Topic D**: Fraction Expressions and Word Problems

Lesson 10: Compare and evaluate expressions with parentheses

Video: Evaluating expressions with parentheses

Lesson 11 and 12: Solve and create fraction word problems - addition, subtraction, multiplication

**Topic E**: Multiplication of a Fraction by a Fraction

Lesson 13: Multiply unit fraction by unit fraction

LZ213-- Video: multiplying fractions-- starts out with multiplying unit fractions

Lesson 14: Multiply fraction by non-unit fraction

Video: Using models to multiply a fraction by a non-unit fraction

Lesson 15: Multiply non-unit fractions by non-unit fractions

LZ213--Video: multiplying fractions- starts out with multiplying unit fractions- at about the 4 minute mark there will be examples using non-unit fractions

Lesson 16: Word problems (tape diagrams and multiplication of fractions

Lesson 17 and 18: Relate decimal and fraction multiplication

Lesson 19: Convert measures involving whole numbers

LZ3456-- Video to demonstrate converting measures and multi-step word problems

Lesson 20: Convert mixed-unit measures

Selection of videos explaining solving problems with different metric measurements

Video: Fraction problem using yards and inches

**Topic F**: Multiplication with Fractions and Decimals as Scaling with Word Problems

Practice problems for scaling with multiplication of fractions

Lesson 21: Explain the size of a product and relate fraction and decimal equivalence to multiplying a fraction by 1

Lesson 22 and 23: Compare: size of product to size of factors

Lesson 24: Word problems- with fraction and decimal multiplication

Practice problems and video (scroll to 5.NF.B.6 and click on multiplying fraction times fraction word problems)

**Topic G**: Division of Fractions and Decimal Fractions

Lesson 25: Divide a whole number by a unit fraction

Learn zillion video: Dividing whole number by unit fraction using a number line (LZ1541)

Practice problems and video (Scroll to 5.NF.B.7 and click on division of a whole number by a fraction)

Lesson 26: Divide a unit fraction by a whole number

Practice problems and video (Scroll to 5.NF.B.7 and click on dividion a fraction by a whole number)

Lesson 27: Solve problems involving fraction division

Lesson 28: Tape and number line diagrams to solve problems

Lesson 29: Relate: division by a unit fraction to division by 1/10 and 1/100

Lesson 30 and 31: Divide decimals by non-decimal divisors

**Topic H**: Interpretation of Numerical Expressionse

Lesson 32: Evaluating numerical expressions, scaling and fraction division

Lesson 33: Word problems: numeric expressions and tape diagrams