Unit 3: Fractions and Decimals

Students develop understanding of division of fractions by fractions and operations on whole numbers and decimals, including addition, subtraction, multiplication, and division.

Worksheets

Every sheet has an answer key. Free to print, no login.

Unit

📝 Worksheet ✅ Answer guide

Concept

📝 Worksheet ✅ Answer key

Practice

Set 1

📝 Worksheet ✅ Answer key

Set 2

📝 Worksheet ✅ Answer key

Advanced

Set 1

📝 Worksheet ✅ Answer key

Set 2

📝 Worksheet ✅ Answer key

What this unit covers

A Making Sense of Division · 2 lessons

Goals

• Create a diagram and a multiplication or division equation to represent the relationship in situations involving equal-size groups, and coordinate these representations.
• Interpret a division expression in two ways: as an answer to a “How many groups?” question or to a “How many in each group?” question.

Lessons

1. Size of Divisor and Size of Quotient
2. Meanings of Division

B Dividing Fractions · 6 lessons

Goals

• Generalize a process for dividing a number by a fraction.

Lessons

1. How Many Groups?
2. What Fraction of a Group?
3. How Much in Each Group? (Part 1)
4. How Much in Each Group? (Part 2) (Optional)
5. Finding an Algorithm for Dividing Fractions
6. Ratios and Rates with Fractions

C Fractions in Lengths, Areas, and Volumes · 4 lessons

Goals

• Determine the volume of a rectangular prism by packing it with unit cubes with appropriate unit-fraction edge lengths and by multiplying the edge lengths.
• Solve problems about length comparison, the side lengths and area of a rectangle, and the edge lengths and volume of a rectangular prism using fraction division.

Lessons

1. Fractional Lengths
2. Rectangles and Triangles with Fractional Lengths
3. Volume of Prisms
4. Solving Problems Involving Fractions (Optional)

D Adding, Subtracting, and Multiplying Decimals · 5 lessons

Goals

• Calculate the product of two decimals and explain the solution method.
• Explain the sum or difference of two decimals in terms of combining like base-ten units and composing (or decomposing) a larger unit from (or into 10) units of a lower value.
• Use the standard algorithm to add or subtract decimals with multiple non-zero digits.

Lessons

1. Using Decimals in a Shopping Context
2. Using Diagrams to Represent Addition and Subtraction
3. Adding and Subtracting Decimals with Many Non-Zero Digits
4. Methods for Multiplying Decimals
5. Calculating Products of Decimals

E Dividing Decimals · 4 lessons

Goals

• Calculate the quotient of a whole-number or a decimal dividend and a decimal divisor, and explain the solution method.
• Use long division to divide a multi-digit whole number or a decimal by a whole number.

Lessons

1. Using Long Division
2. Dividing Numbers that Result in a Decimal
3. Dividing a Decimal by a Decimal
4. Solving Problems Involving Decimals

F Let’s Put It to Work · 2 lessons

Lessons

1. Fitting Boxes into Boxes
2. Making and Measuring Boxes (Optional)

Helpful to know first

The curriculum says this unit builds on these.

Grade 5 Math · Unit 1 Finding Volume

Open unit →

Grade 5 Math · Unit 2 Fractions as Quotients and Fraction Multiplication

Open unit →