Segment A of Mathematics 4 teaches that proficiency with basic facts aids in the computation of numbers. Place value patterns are repeated in numbers, and symbol notation is used to represent mathematical relationships in numbers. Students will work with money to understand place value, refine skills with addition and subtraction, and practice multiplying with larger numbers. They will work with one-digit divisors in division problems. Students will compare and contrast measurement units, working with units of capacity and weight and the metric system.

Segment B covers fragments and decimals, teaching that a fraction describes the division of a whole into equal parts, and it can be interpreted in more than one way depending on the whole to be divided. Both common and decimal fractions can be represented using fractional parts. Students will also learn that reading, understanding, interpreting, and communicating data are critical in modeling a variety of real-world situations, drawing appropriate inferences, making informed decisions, and justifying those decisions. Spatial sense and geometric relationships are a means to solve problems and make sense of a variety of phenomenal. Real world situations can be represented symbolically and graphically.



ESTIMATED COMPLETION TIME: 32-36 weeks or approximately 125 – 135 hours



Place Value and Money

  • Understanding Place Value to 100,000
  • Understanding How to Compare and Order Numbers
  • Rounding Whole Numbers
  • Understanding Place Value to the Billions Place
  • Comparing and Ordering Larger Numbers
  • Understanding Rounding of Larger Numbers
  • Understanding and Comparing of Money Amounts
  • Understanding How to Make Change

Addition and Subtraction

  • Properties of Addition
  • Understanding of Addition of Whole Numbers
  • Understanding of Subtraction of Whole Numbers
  • Estimating When Finding Sums and Differences
  • Understanding Subtracting with Zeros
  • Addition and Subtraction of Larger Numbers
  • Writing and Solving Equations

Multiplication and Division

  • Using Multiplication Properties to Understand Multiplication
  • Multiplying with Patterns
  • Understanding the Relationship between Multiplication and Division
  • Rules for Division and Division Using Doubles
  • Dividing with Remainders
  • Writing, Solving and Evaluating Equations

Multiplying Larger Numbers

  • Using Mental Math
  • Multiplying by One Digit Numbers
  • Multiplying One & Two-Digit Numbers by One-Digit Numbers
  • Estimating Products
  • Multiplying Larger Numbers
  • Multiplying with Zeros
  • Multiplying One and Two-Digit Numbers by Two-Digit Numbers

One Digit Divisor

  • Modeling Division
  • Learning about Two-Digit Quotients
  • Three and Four-Digit Quotients
  • Division with Money
  • Zeros in the Quotient
  • Divisibility Rules
  • Prime and Composite Numbers
  • Averages


  • Tools and Units of Measure
  • Units of Length
  • Understanding Units of Capacity and Weight
  • Understanding the Metric System
  • Using Metric Units of Length
  • Metric Units of Capacity and Mass
  • Measuring Degrees Fahrenheit, Celsius, and Negative Numbers



  • Representing and Showing Fractions
  • Understanding Fractional Parts of a Number
  • Identifying and Showing Equivalent Fractions
  • Simplifying and Ordering Fractions
  • Comparing and Ordering Fractions
  • Writing and Using Mixed Numbers
  • Add Fractions with like Denominators
  • Subtract Fractions with like Denominators
  • Adding and Subtracting Fractions with Unlike Denominators


  • Understanding and Relating Fractions and Decimals
  • Compare and Order Decimals
  • Adding and Subtracting Decimals
  • Rounding Decimals

Statistics and Probability

  • Gathering and Organizing Data
  • Finding the Mean, Median and Mode
  • Reading and Using Bar Graphs
  • Creating and Understanding Line Graphs
  • Finding and Understanding Probability

Geometry and Measurement

  • Understanding Points, Lines and Line Segments
  • Rays and Angles
  • Polygons and Quadrilaterals
  • Classifying Triangles
  • Circles
  • Understanding Congruency
  • Understanding Symmetry
  • Finding Perimeter and Area
  • Identifying Solid Figures, Surface Area and Volume

Graphing and Algebra

  • Locating and Graphing Points
  • Graphing Functions
  • Types of Graphs
  • Finding Lengths on a Coordinate Plane
  • Using Integers

Two-Digit Divisors

  • Mental Math in Division
  • Using One-Digit Quotients
  • Division with Two-Digit Quotients
  • Zeros in Two-Digit Quotients