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

Unit 3

Place Value & Decimals

Unit 4

Multiplying & Dividing Whole Numbers & Decimals

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