Module 4: Multiplication and Division of Fractions and Decimal Fractions

Module 4Multiplication and Division of Fractions and Decimal Fractions

Topic A: Line plots of fraction measurements

Lesson 1 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.
Khan 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.

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

Lesson 21
Objective:  Explain the size of the product, and relate fraction and decimal equivalence to multiplying a fraction by 1.
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.
Lesson 24 Objective:  Solve word problems using fraction and decimal multiplication.
Khan 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.
Lesson 31 Objective:  Divide decimal dividends by non‐unit decimal divisors.
Topic H: Interpretation of numerical expressions
Lesson 32
Objective:  Interpret and evaluate numerical expressions including the language of scaling and fraction division.
Lesson 33 Objective:  Create story contexts for numerical expressions and tape diagrams, and solve word problems.