Grade 6 Advanced Math Curriculum
Family-facing version of the grade 6 advanced math curriculum
Quarterly Overview of Grade 6 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: The Rational Number System
- Compare and order rational numbers.
- Solve practical problems involving operations with rational numbers.
Unit 2: Proportions and Linear Relationships
- Solve single-step and multistep practical problems, using proportional reasoning.
- Determine the slope, m, as the rate of change in a proportional relationship between two quantities and write an equation in the form y = mx to represent the relationship.
Unit 3: Real Number and Exponents
- Investigate and describe the concept of negative exponents for powers of ten.
- Compare and order numbers greater than zero written in scientific notation.
- Determine square roots of perfect squares.
- Identify and describe the absolute value of rational numbers.
Unit 4: Expressions, Equations, and Inequalities
- Evaluate algebraic expressions for given replacement values of the variables.
- Solve two-step linear equations in one variable, including practical problems that require the solution of a two-step linear equation in one variable.
- Solve one- and two-step linear inequalities in one variable, including practical problems, involving addition, subtraction, multiplication, and division, and graph the solution on a number line.
Unit 5: Introduction to Functions
- Determine the slope, m, as rate of change in a proportional relationship between two quantities and write an equation in the form y = mx to represent the relationship.
- Graph a line representing a proportional relationship between two quantities given the slope and an ordered pair, or given the equation in y = mx form where m represents the slope as rate of change.
- Determine the y-intercept, b, in an additive relationship between two quantities and write an equation in the form y = x + b to represent the relationship.
- Graph a line representing an additive relationship between two quantities given the y-intercept and an ordered pair, or given the equation in the form y = x + b, where b represents the y-intercept.
- Make connections between and among representations of a proportional or additive relationship between two quantities using verbal descriptions, tables, equations, and graphs.
Unit 6: Triangles and Quadrilaterals
- Solve problems, including practical problems, involving the relationship between corresponding sides and corresponding angles of similar quadrilaterals and triangles.
- Compare and contrast quadrilaterals based on their properties.
- Determine unknown side lengths or angle measures of quadrilaterals.
- Apply translations and reflections of right triangles or rectangles in the coordinate plane.
Unit 7: Probability of Random Events
- Determine the theoretical and experimental probabilities of an event.
- Investigate and describe the difference between the experimental probability and theoretical probability of an event.
Unit 8: Data Distributions
- Represent data in a histogram.
- Make observations and inferences about data represented in a histogram.
- Compare histograms with the same data represented in stem-and-leaf plots, line plots, and circle graphs.
Unit 9: Surface Area and Volume
- Describe and determine the volume and surface area of rectangular prisms and cylinders.
- Solve problems, including practical problems, involving the volume and surface area of rectangular prisms and cylinders.
Unit 10: Moving Forward and Digging Deeper
In this unit, teachers will provide differentiated opportunities for students to review previous content and/or explore content at a deeper level.
Virginia Department of Education Resources
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 the next steps in instruction.
In Fairfax County Public Schools (FCPS), grade 3 tests focus on measuring content knowledge and skill development.