The first unit is focused on volume, and includes a review of multiplication facts and multi-digit multiplication strategies. In Unit 2, students use what they know about equivalent fractions to add and subtract fractions. Unit 3 extends students’ understandings of place value and the properties of operations to help students develop powerful strategies for computing fluently with decimals. In Unit 4 they refine powerful multiplication and division strategies, including the array model and the standard algorithm for multiplication.

In Unit 5 students learn to multiply and divide fractions. Unit 6 introduces new geometric concepts, including coordinate graphing and the use of hierarchies to classify two-dimensional shapes by their properties.

In Unit 7 students develop accurate and efficient strategies for dividing whole numbers, decimals, and fractions (unit fractions by whole numbers, and whole numbers by unit fractions). Unit 8 integrates science, engineering, and math. In this final unit, students apply the understandings and skills they have developed over the year as they study solar energy and designing solar homes.

## Content Outline and Samples

### Unit 1

#### Expressions, Equations & Volume

- Multiplication & Volume
- Factors, Multiples & the Associative Property
- Multiplication Strategies
- From Multiplication to Division

### Unit 2

#### Adding & Subtracting Fractions

- Adding & Subtracting Fractions
- Fractions as Operators & Quotients
- Common Denominators
- LCMs & GCFs

### Unit 3

#### Place Value & Decimals

- Whole Number & Decimal Place Value
- Adding & Subtracting Decimals
- Conversions
- Division & The Area Model

### Unit 4

#### Multiplying & Dividing Whole Numbers & Decimals

- Multiplication & Division Strategies
- More Multiplication & Division Strategies
- From Array to Algorithm
- Multiplying to Divide

### Unit 5

#### Multiplying & Dividing Fractions

- Multiplying Whole Numbers by Fractions
- Multiplying Fractions by Fractions
- More Fraction by Fraction Multiplication
- Dividing Fractions & Whole Numbers

### Unit 6

#### Graphing, Geometry & Volume

- Graphing Ordered Pairs
- Classifying Polygons
- Volume
- Banners & Flags

### Unit 7

#### Division & Decimals

- Division of Fractions & Whole Numbers
- Division Interpretations & Strategies
- Powers of Ten
- Decimal Multiplication & Division

### Unit 8

#### Solar Design

- Investigating Solar Energy
- Investigating Passive Solar Design
- Designing Solar Homes
- Finishing Our Models

### Number Corner

- Calendar Grid
- Calendar Collector
- Computational Fluency
- Problem Strings
- Solving Problems