Module Descriptions

Module 1: Place Value and Decimal Fractions

Students will learn patterns in the base-ten place value system. 

Topic A: Multiplicative Patterns on the Place Value Chart

Topic B: Decimal Fractions and Place Value Patterns

Topic C: Place Value and Rounding Decimal Fractions

Formative Mid-module Assessment

Topic D: Adding and Subtracting Decimals

Topic E: Multiplying Decimals

Topic F: Dividing Decimals

Module 2: Multi-digit Whole/Decimal Operations 

Students will apply the patterns of the base ten systems to mental strategies and the multiplication and division algorithms

Topic A: Mental Strategies for Multi-digit Whole Number Multiplication

Topic B: The Standard Algorithm for Multi-digit Whole Number Multiplication

Topic C: Decimal Multi-digit Multiplication

Topic D: Measurement Word Problems with Whole Number and Decimal Multiplication

Formative Mid-module Assessment

Topic E: Mental Strategies for Multi-digit Whole Number Division

Topic F: Partial Quotients and Multi-digit Whole Number Division

Topic G: Partial Quotients and Multi-digit Decimal Division

Topic H: Measurement Word Problems with Multi-digit Division

Module 3: Add and Subtract Fractions

Students will demonstrate an understanding of the addition and subtraction of fractions extending from earlier work with fractions equivalence and decimals into using the full set of fractions units. 

Topic A: Equivalent Fractions

Topic B: Making Like Units Pictorially

Formative Mid-module Assessment

Topic C: Making Like Units Numerically

Topic D: Further Applications

Module 4: Multiply and Divide Fractions

Students will learn to multiply fractions and decimal fractions, and begin working with fraction division. 

Topic A: Line Plots of Fraction Measurements

Topic B: Fractions as Division

Topic C: Multiplication of a Whole Number by a Fraction

Topic D: Fraction Expressions and Word Problems

Formative Mid-module Assessment

Topic E: Multiplication of a Fraction by a Fraction

Topic F: Multiplication with Fractions and Decimals as Scaling and Word Problems

Topic G: Division of Fractions and Decimal Fractions

Topic H: Interpretation of Numerical Expressions

Module 5: Add and Subtract with Volume and Area

Students will work with two - and three - dimensional figures including volume. 

Topic A: Concepts of Volume

Topic B: Volume and the Operations of Multiplication and Division

Formative Mid-module Assessment

Topic C: Area of Rectangular Figures with Fractional Side Lengths

Topic D: Drawing, Analysis, and Classification of Two-dimensional Shapes

Module 6: Problem Solving and Coordinates

Students will develop a coordinate system for the first quadrant of the coordinate plane and use it to solve problems.

Topic A: Coordinate Systems

Topic B: Patterns in the Coordinate Plane and Graphing Number Patterns from Rules

Formative Mid-module Assessment

Topic C: Drawing Figures in the Coordinate Plane

Topic D: Problem Solving in the Coordinate Plane

End of Module Assessment

Topic E: Multi-step Word Problems