Grade 4 Advanced Math Curriculum

Family-facing version of the grade 4 advanced math curriculum

Quarterly Overview of Grade 4 Advanced Mathematics

The objectives and outcomes for each unit are common across FCPS and based on the Virginia Standards of Learning. The pacing by quarter and by week provides an example of how the curriculum can be organized throughout the year. Teacher teams may adjust the pacing or order of units to best meet the needs of students.

Units and Details

Unit 1: Characteristics of Numbers

Students will:

  • Identify and describe the characteristics of prime and composite numbers.
  • Identify and describe the characteristics of even and odd numbers.

Unit 2: Decimal and Fraction Number Sense

Students will:

  • Compare and order fractions and mixed numbers, with and without models.
  • Represent equivalent fractions.
  • Identify the division statement that represents a fraction, with models and in context.
  • Given a decimal through thousandths, round to the nearest whole number, tenth, or hundredth.
  • Represent and identify equivalencies among fractions and decimals, with and without models.
  • Compare and order fractions, mixed numbers, and/or decimals, in a given set, from least to greatest and greatest to least.

Unit 3: Whole Number Computation

Students will:

  • Demonstrate fluency with multiplication facts through 12 x 12, and the corresponding division facts.
  • Estimate and determine products of whole numbers (1 digit × 1 digit, 1 digit × 2 digits, and 2 digits × 2 digits).
  • Estimate and determine quotients of whole numbers, with and without remainders (1 digit divisor and 2 digit dividend).
  • Determine common multiples and factors, including least common multiple and greatest common factor.
  • Identify, describe, create, and extend patterns found in objects, pictures, numbers, and tables (numerical).
  • Recognize and demonstrate the meaning of equality in an equation.
  • Create and solve single-step and multistep practical problems involving addition, subtraction, multiplication, and division of whole numbers.
  • Simplify whole number numerical expressions, using the order of operations.

Unit 4: Decimal Computation Part 1

Students will:

  • Estimate and determine the product and quotient of two numbers involving decimals.
  • Create and solve single-step and multistep practical problems involving addition, subtraction, and multiplication of decimals, and create and solve single-step practical problems involving division of decimals.

Unit 5: Adding and Subtracting Fractions

Students will:

  • Solve single-step and multistep practical problems involving addition and subtraction with fractions and mixed numbers.
  • Solve single-step practical problems involving multiplication of a whole number, limited to 12 or less, and a proper fraction, with models.

Unit 6: Algebraic Reasoning

Students will:

  • Identify, describe, create, express, and extend number patterns found in objects, pictures, numbers, and tables.
  • Investigate and describe the concept of variables.
  • Write an equation to represent a given mathematical relationship, using a variable. 
  • Use an expression with a variable to represent a given verbal expression involving one operation.

Unit 7: Measurement

Students will:

  • Solve practical problems that involve perimeter, area and volume in standard units of measure.
  • Differentiate among perimeter, area, and volume and identify whether the application of the concept of perimeter, area or volume is appropriate for a given situation.
  • Given the equivalent measure of one unit, identify equivalent measurements within the metric system.
  • Solve practical problems involving length, mass, and liquid volume using metric units.

Unit 8: Geometry

Students will:

  • Identify and describe the diameter, radius, chord, and circumference of a circle.
  • Classify and measure right, acute, obtuse, and straight angles.
  • Classify triangles as right, acute, obtuse, equilateral, scalene, or isosceles.
  • Investigate the sum of the interior angles in a triangle and determine an unknown angle measure. 
  • Recognize and apply transformations, such as translation, reflection, and rotation.
  • Investigate and describe the results of combining and subdividing plane figures (square, rectangle, triangle, parallelogram, rhombus, and trapezoid). 

Unit 9: Data and Probability

Students will:

  • Determine the probability of an outcome by constructing a sample space or using the Fundamental (Basic) Counting Principle.
  • Represent data in line plots and stem-and-leaf plots.
  • Interpret data represented in line plots and stem-and-leaf plots.
  • Compare data represented in a line plot with the same data represented in a stem-and-leaf plot.
  • Describe mean, median, and mode as measures of center.
  • Describe mean as fair share.
  • Describe the range of a set of data as a measure of spread.
  • Determine the mean, median, mode, and range of a set of data.

Unit 10: Decimal Computation Part 2

Students will:

  • Estimate and determine the product and quotient of two numbers involving decimals.
  • Create and solve single-step and multistep practical problems involving addition, subtraction, and multiplication of decimals, and create and solve single-step practical problems involving division of decimals.

Virginia Department of Education Resources

Assessments

Student assessments are part of the teaching and learning process.

  • Teachers give assessments to students on an ongoing basis to
    • Check for understanding 
    • Gather information about students' knowledge or skills.
  • Assessments provide information about a child's development of knowledge and skills that can help families and teachers better plan for next steps in instruction.

For testing questions or additional information about how schools and teachers use test results to support student success, families can contact their children's schools.

In Fairfax County Public Schools (FCPS), fourth grade tests focus on students’ developing content knowledge and skills.

Looking for other grade 4 information?