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 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