Grade 6 — Math

Common Core Aligned

Grade 6 — Math

Grade 6 Mathematics introduces ratios and proportional reasoning, the number system (including integers), algebraic expressions and one-step equations, area and surface area of polygons, and statistical data analysis — aligned to the Common Core State Standards.

Units & Topics Covered

5 units  ·  29 topics

Ratios & Proportional Relationships

  • Understand ratios and use ratio language to describe relationships
  • Find unit rates associated with ratios of fractions
  • Solve unit-rate problems: unit pricing and constant speed
  • Use ratio tables, tape diagrams, and double number lines
  • Understand percent as a rate per hundred
  • Solve real-world percent problems: discounts, taxes, and tips

The Number System

  • Fluently divide multi-digit numbers using the standard algorithm
  • Divide fractions by fractions using visual models
  • Add, subtract, multiply, and divide multi-digit decimals
  • Understand integers and their position on a number line
  • Absolute value: find and interpret in context
  • Order and compare rational numbers on a number line and coordinate plane

Expressions & Equations

  • Write and evaluate algebraic expressions with exponents
  • Apply properties of operations to generate equivalent expressions
  • Identify when two expressions are equivalent
  • Write and solve one-step equations (p + q = r; pq = r)
  • Write and solve one-step inequalities; graph solutions
  • Use variables to represent two quantities in a real-world problem

Geometry

  • Find the area of triangles, parallelograms, trapezoids, and other polygons
  • Find the area of composite figures by decomposing
  • Find the volume of rectangular prisms with fractional edge lengths
  • Draw net diagrams of 3D shapes
  • Use nets to find the surface area of 3D figures

Statistics & Probability

  • Understand statistical questions and variability in data
  • Measures of centre: mean, median, and mode
  • Measures of variability: range and mean absolute deviation (MAD)
  • Display data: dot plots, histograms, and box plots
  • Summarise and describe data distributions
  • Relate measures of centre and variability to the context of a problem
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