Fourth Grade Math

This list is representative of the materials provided or used in this course. Keep in mind that the actual materials used may vary, depending on the school in which you are enrolled, and whether you are taking the course as Independent Study.

For a complete list of the materials to be used in this course by your enrolled student, please visit MyInfo. All lists are subject to change at any time.

Scope & Sequence : Scope & Sequence documents describe what is covered in a course (the scope) and also the order in which topics are covered (the sequence). These documents list instructional objectives and skills to be mastered. K12 Scope & Sequence documents for each course include:

Course Overview

Fourth grade Math students sharpen their computational and problem-solving skills while applying mathematical concepts to real-world problems. Students will:

  • Continue to develop computational skills using larger numbers up to millions
  • Estimate sums and differences before finding exact solutions
  • Achieve rapid fluency with basic number facts
  • Through a proprietary, research-based series of lessons, develop strategies for solving word problems that progress from simple addition problems to problems with complex data
  • Use geometry to determine perimeter, volume, and area in both English and metric units
  • Develop research-based intuitive understanding of fractions together with practical computational skills
  • Expand understanding of probability and its link to fractions
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Course Outline

Place Value

  • Thousands
  • Millions and Greater Numbers
  • Place Value
  • Comparing and Ordering Whole Numbers
  • Number Sense: Using a Number Line
  • Making Change
  • Comparing and Ordering Money
  • Rounding
  • Working with Money

Addition and Subtraction Concepts

  • Addition Properties and Addition Strategies
  • Subtraction Concepts
  • Addition and Subtraction Sentences
  • Mental Math
  • Estimating Sums and Differences
  • Adding and Subtracting Money
  • Checking Addition and Subtraction
  • Addition and Subtraction Applications

Addition and Subtraction

  • Front-End Estimation
  • Adding with Regrouping
  • Three- and Four-Digit Addition
  • Three or More Addends
  • Subtracting with Regrouping
  • Subtraction: Regrouping Twice
  • Three- and Four-Digit Subtraction
  • Zeros in Subtraction
  • Larger Sums and Differences

Multiplying by One and Two Digits

  • Multiplication Properties
  • Missing Factors
  • Multiplication Models
  • Special Factors
  • Multiplying by One-Digit Numbers
  • Products: Front-End Estimation
  • Multiplying with Regrouping
  • Multiplying Three-Digit Numbers
  • Multiplying Money
  • Multiplying Four-Digit Numbers
  • Patterns in Multiplication
  • Estimating Products
  • Multiplying by Two-Digit Numbers
  • More Multiplying by Two-Digit Numbers
  • Multiplying with Three-Digit Numbers

Dividing by One Digit

  • Division Concepts
  • Missing Numbers in Division
  • Number Patterns
  • Estimating in Division
  • One-Digit Quotients
  • Divisibility
  • Two-Digit Quotients
  • More Two-Digit Quotients
  • Three-Digit Quotients
  • More Difficult Quotients
  • Zeros in the Quotient
  • Larger Numbers in Division
  • Dividing Money
  • Order of Operations
  • Finding Averages

Dividing by Two Digits

  • Division Patterns
  • Divisors: Multiples of Ten
  • Estimating Quotients
  • Two-Digit Dividends
  • Three-Digit Dividends
  • Trial Quotients
  • Greater Quotients
  • Teens as Divisors
  • Four-Digit Dividends
  • Zero in the Quotient and Greater Dividends


  • Measuring with Inches
  • Renaming Units of Length
  • Computing Customary Units
  • Customary Units of Capacity
  • Customary Units of Weight
  • Measuring and Working with Metric Units
  • Metric Units of Capacity
  • Metric Units of Mass and Weight
  • Temperature
  • Time and Elapsed Time

Statistics and Probability

  • Graphing Sense
  • Making Pictographs and Bar Graphs
  • Line Graphs
  • Line Graphs II
  • Circle Graphs
  • Combinations
  • Predicting Probability
  • Events and Outcomes


  • Writing Fractions
  • Estimating Fractions
  • Equivalent Fractions
  • Writing Equivalent Fractions
  • Factors
  • Fractions: Lowest Terms
  • Mixed Numbers
  • Comparing Fractions
  • Ordering Fractions

Fractions: Addition and Subtraction

  • Adding: Like Denominators
  • Subtracting: Like Denominators
  • Improper Fractions
  • Estimating with Mixed Numbers
  • Add and Subtract Mixed Numbers
  • Multiples
  • Adding: Unlike Denominators
  • Subtracting: Unlike Denominators
  • Computing Probability
  • Finding Parts of Numbers


  • Tenths and Hundredths
  • Decimals Greater than 1.0
  • Decimal Place Value
  • Comparing Decimals
  • Ordering Decimals
  • Rounding Decimals
  • Adding Decimals
  • Subtracting Decimals
  • Estimation with Decimals
  • Dividing with Money
  • Problem-Solving Strategy: Multistep Problem


  • Points, Lines, and Line Segments
  • Rays and Angles
  • Parallel and Perpendicular Lines
  • Circles
  • Polygons
  • Quadrilaterals
  • Triangles
  • Similar Figures
  • Slides, Flips, and Turns
  • Coordinate Geometry

Perimeter, Area, and Volume

  • Using Perimeter Formulas
  • Area
  • Using the Area Formulas
  • Space Figures
  • Polygons
  • Spatial Relationships
  • Volume

Moving On: Algebra

  • Number Sentences
  • Finding Missing Numbers
  • Functions
  • Missing Symbols
  • Number Line
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Number of Lessons and Scheduling

60 minutes

Total Lessons: 180

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K12 Scope & Sequence documents for each course include:

  • Course Overview (as seen above)
  • Course Outline
  • Lesson Time and Scheduling