Fraction and Decimal Fundamentals

This 8-week program is designed to bridge the fundamental gaps and lay a firm foundation of essentials in Fractions and Decimals upon which the student’s next year course will build upon.

Week 1 - Understanding Fractions, Equivalence and Comparison

Equal Parts of a Whole
Understanding a Unit Fraction
Writing Fractions of a Whole
Fractions on a Number Line
Equivalent Fractions
- Modeling
- Generating by Multiplication
- Generating by Division
Relating Fractions and Whole Numbers
Comparing Fractions
- Like Denominators
- Same Numerators
- On a Number Line
Ordering Fractions

Week 2 - Addition and Subtraction of Fractions

Addition of Fractions
- Using Models
- Decomposing Fractions
- With Like Denominators
Subtraction of Fractions
- Using Models
- With Like Denominators
Mixed Numbers
- Modeling
- Adding
- Subtracting
Unlike Denominators
- Adding
- Subtracting
- Adding and Subtracting Mixed Numbers

Week 3 - Multiplication of Fractions

Multiplying Whole Numbers by Fractions
- Using Models
- Using Standard Algorithm
Multiplying Fractions
- Using Models
- Using Standard Algorithm
Finding Area of Rectangles by Multiplying Fractions
Multiplying Mixed Numbers
Word Problems with Multiplying Fractions

Week 4 - Division of Fractions

Interpreting Fractions as Division
Mixed Numbers as Quotients
Dividing Whole Numbers by Unit Fractions
Dividing Unit Fractions By Whole Numbers
Dividing Fractions
Dividing Mixed Numbers
Word Problems with Dividing Fractions

Week 5 - Relate Fractions and Decimals

Understanding Tenths
Understanding Hundredths
Understanding the Relationship Between Fractions and Decimals
- Models for Visualization
- Number Lines for Visualization
Equivalent Fractions and Decimals
Turning Fractions into Decimals
Turning Decimals into Fractions
Comparing Fractions and Decimals

Week 6 - Addition and Subtraction of Decimals

Place Value Concepts
- Decimals to the Thousandths Place
Modeling Decimals
Comparing Decimals
Adding and Subtracting Decimals
- Estimating Sums and Differences
- Using Models to Add and Subtract
- Adding Decimals Using the Standard Algorithm
- Subtracting Decimals Using the Standard Algorithm
Word Problems Adding and Subtracting Decimals

Week 7 - Multiplication and Division of Decimals

Multiplication of Decimals
- Patterns with Decimals (Powers of 10)
- Decimals and Whole Numbers
  - Estimating Products
  - Using Models to Multiply
  - Multiplication Using the Standard Algorithm
- Multiplication of Decimals
  - Using Models
  - Using Partial Products
  - Using the Standard Algorithm
Division of Decimals
- Patterns with Decimals (Powers of 10)
- Estimating Decimal Quotients
- Dividing Decimals by Whole Numbers
  - Using Models
  - Using Standard Algorithm
- Dividing Whole Numbers by Decimals
  - Using Models
  - Using Standard Algorithm
- Dividing Decimals by Decimals
Word Problems with Multiplication and Division of Decimals

Week 8 - Mixed Review

Addition and Subtraction of Fractions
- With Like and Unlike Denominators
Multiplication and Division of Fractions
Mixed Numbers
- Addition, Subtraction, Multiplication, and Division
Changing Fractions to Decimals, and Decimals to Fractions
Comparing and Ordering Fractions and Decimals
Addition and Subtraction of Decimals
Multiplication and Division of Decimals
Addition, Subtraction, Multiplication and Division of Fractions and Decimals
Word Problems with Fractions and Decimals

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Explore the Next Level Math Programs

Each track is tailored by grade level and learning needs - so students start where they are, and finish ahead

Basic Arithmetic

Fraction and Decimal

High School Geometry

Multiplication and Division