## Module 4: Multiplication and Division of Fractions and Decimal Fractions

Module 4:Multiplication and Division of Fractions and Decimal Fractions

**Topic A: Line plots of fraction measurements**

**Objective: Measure and compare pencil lengths to the nearest 1/2, 1/4, and 1/8 of an inch and analyze the data through line plots.**

**Lesson 1**

Khan Academy: Line plots of fraction measurementsKhan Academy: Line plots of fraction measurements

**Topic B: Fractions as division**

**Lesson 2**Objective: Interpret a fraction as division.

**Lesson 3**Objective: Interpret a fraction as division.

**Lesson 4**Objective: Use tape diagrams to model fractions as division.

**Lesson 5**Objective: Solve word problems involving the division of whole numbers with answers in the form of fractions or whole numbers.

**Khan Academy**:** Fractions as division**

**Topic C: Multiplication of a whole number by a fraction**

**Lesson 6**Objective: Relate fractions as division to fraction of a set.

**Lesson 7**Objective: Multiply any whole number by a fraction using tape diagrams.

**Lesson 8**Objective: Relate fraction of a set to the repeated addition interpretation of fraction multiplication.

**Lesson 9**Objective: Find a fraction of a measurement, and solve word problems.

**Khan Academy: Multiplication of a whole number by a fraction**

**Topic D: Fraction expressions and word problems**

**Lesson 10**Objective: Compare and evaluate expressions with parentheses.

**Lesson 11**Objective: Solve and create fraction word problems involving addition, subtraction, and multiplication.

** Lesson 12 **Objective: Solve and create fraction word problems involving addition, subtraction, and multiplication.

**Khan Academy: Fraction expressions and word problems**

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

**Lesson 13**Multiplication of a Fraction by a Fraction

**Lesson 14**Objective: Multiply unit fractions by non-unit fractions.

**Lesson 15**Objective: Multiply non-unit fractions by non-unit fractions.

**Lesson 16**Objective: Solve word problems using tape diagrams and fraction-by-fraction multiplication.

**Lesson 17**Objective: Relate decimal and fraction multiplication.

**Lesson 18**Objective: Relate decimal and fraction multiplication.

**Lesson 19**Objective: Convert measures involving whole numbers, and solve multi-step word problems.

**Lesson 20**Objective: Convert mixed unit measurements, and solve multi-step word problems.

**Khan Academy: Multiplication of a fraction by a fraction**

**Topic F: Multiplication with fractions and decimals as scaling and word problems**

**Objective: Explain the size of the product, and relate fraction and decimal equivalence to multiplying a fraction by 1.**

Lesson 21

Lesson 21

**Lesson 22**Objective: Compare the size of the product to the size of the factors.

**Lesson 23**Objective: Compare the size of the product to the size of the factors.

**Objective: Solve word problems using fraction and decimal multiplication.**

**Lesson 24**

Khan Academy: Multiplication with fractions and decimals as scaling and word problemsKhan Academy: Multiplication with fractions and decimals as scaling and word problems

**Topic G: Division of fractions and decimal fractions**

**Lesson 25**Objective: Divide a whole number by a unit fraction.

**Lesson 26**Objective: Divide a unit fraction by a whole number.

**Lesson 27**Objective: Solve problems involving fraction division.

**Lesson 28**Objective: Write equations and word problems corresponding to tape and number line diagrams.

**Lesson 29**Objective: Connect division by a unit fraction to division by 1 tenth and 1 hundredth.

**Lesson 30**Objective: Divide decimal dividends by non‐unit decimal divisors.

**Objective: Divide decimal dividends by non‐unit decimal divisors.**

**Lesson 31****Khan Academy: Division of fractions and decimal fractions**

**Topic H: Interpretation of numerical expressions**

**Objective: Interpret and evaluate numerical expressions including the language of scaling and fraction division.**

Lesson 32

Lesson 32

**Objective: Create story contexts for numerical expressions and tape diagrams, and solve word problems.**

**Lesson 33**