Grade 5 Mathematics Module 4

Two children reading

Grade 5 Module 4: Multiplication and Division of Fractions and Decimal Fractions

Grade 5’s Module 4 extends student understanding of fraction operations to multiplication and division of both fractions and decimal fractions.  Work proceeds from interpretation of line plots which include fractional measurements to interpreting fractions as division and reasoning about finding fractions of sets through fraction by whole number multiplication.  The module proceeds to fraction by fraction multiplication in both fraction and decimal forms.  An understanding of multiplication as scaling and multiplication by n/n as multiplication by 1 allows students to reason about products and convert fractions to decimals and vice versa.  Students are introduced to the work of division with fractions and decimal fractions.  Division cases are limited to division of whole numbers by unit fractions and unit fractions by whole numbers.  Decimal fraction divisors are introduced and equivalent fraction and place value thinking allow student to reason about the size of quotients, calculate quotients and sensibly place decimals in quotients.  Throughout the module students are asked to reason about these important concepts by interpreting numerical expressions which include fraction and decimal operations and by persevering in solving real-world, multistep problems which include all fraction operations supported by the use of tape diagrams.

Downloadable Resources

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Grade 5 Mathematics Module 4: Full Module (31.13 MB)
Grade 5 Mathematics Module 4: Module Overview (859.37 KB)
Grade 5 Mathematics Module 4: Module Overview (724 KB)
Grade 5 Mathematics Module 4: Mid-Module Assessment (1.21 MB)
Grade 5 Mathematics Module 4: Mid-Module Assessment (2.86 MB)
Grade 5 Mathematics Module 4: End-of-Module Assessment (1.51 MB)
Grade 5 Mathematics Module 4: End-of-Module Assessment (1.58 MB)
Grade 5 Mathematics Module 4: Topic A Lesson 1 - Zip File of Word Document (2.5 MB)
Grade 5 Mathematics Module 4: Topic B Lessons 2-5 - Zip File of Word Documents (13.58 MB)
Grade 5 Mathematics Module 4: Topic C Lessons 6-9 - Zip File of Word Documents (20.55 MB)
Grade 5 Mathematics Module 4: Topic D Lessons 10-12 - Zip File of Word Documents (17.62 MB)
Grade 5 Mathematics Module 4: Topic E Lessons 13-20 - Zip File of Word Documents (39.26 MB)
Grade 5 Mathematics Module 4: Topic F Lessons 21-24 - Zip File of Word Documents (15.52 MB)
Grade 5 Mathematics Module 4: Topic G Lessons 25-31 - Zip File of Word Documents (26.83 MB)
Grade 5 Mathematics Module 4: Topic H Lessons 32-33 - Zip File of Word Documents (7.19 MB)
Grade 5 Mathematics Module 4: Bengali - Zip Folder of PDF Files (7.66 MB)
Grade 5 Mathematics Module 4: Bengali - Zip Folder of Word Documents (19.08 MB)
Grade 5 Mathematics Module 4: Simplified Chinese - Zip Folder of PDF Files (6.4 MB)
Grade 5 Mathematics Module 4: Simplified Chinese - Zip Folder of Word Documents (18.7 MB)
Grade 5 Mathematics Module 4: Spanish - Zip Folder of PDF Files (5.91 MB)
Grade 5 Mathematics Module 4: Spanish - Zip Folder of Word Documents (4.75 MB)
Grade 5 Mathematics Module 4: Traditional Chinese - Zip Folder of PDF Files (7.86 MB)
Grade 5 Mathematics Module 4: Traditional Chinese - Zip Folder of Word Documents (18.31 MB)

Common Core Learning Standards

CCLS State Standard
5.OA.1 Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these...
5.OA.2 Write simple expressions that record calculations with numbers, and interpret numerical expressions...
5.NBT.7 Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and...

Curriculum Map