Grade 6 Math
12 units matched to the BC Curriculum.
Big Ideas
- Mixed numbers and decimal numbers represent quantities that can be decomposed into parts and wholes.
- Computational fluency and flexibility with numbers extend to operations with whole numbers and decimals.
- Linear relations can be identified and represented using expressions with variables and line graphs and can be used to form generalizations.
- Properties of objects and shapes can be described, measured, and compared using volume, area, perimeter, and angles.
- Data from the results of an experiment can be used to predict the theoretical probability of an event and to compare and interpret.
Units
Unit 1
Thousandths to Billions
Reading, writing, comparing and rounding numbers from thousandths (0.001) up to billions, including multiplying and dividing by 10, 100 and 1000.
Learning standard: Small to large numbers (thousandths to billions)
Unit 2
Facts & Factors
Quick recall of multiplication and division facts, plus factors, multiples and prime numbers, the greatest common factor (GCF) and least common multiple (LCM), and word problems that use them.
Learning standard: Multiplication and division facts to 100 (developing computational fluency); factors and multiples — greatest common factor and least common multiple
Unit 3
Mixed Numbers & Ratios
Switching between improper fractions (like 13/5) and mixed numbers (2 3/5), placing them on a number line, and writing and using ratios such as 3:4 in tables and word problems.
Learning standard: Improper fractions and mixed numbers; introduction to ratios
Unit 4
Decimal × and ÷
Multiplying and dividing decimals, estimating to check where the decimal point goes, and solving shopping and measurement problems.
Learning standard: Multiplication and division of decimals
Unit 5
Percents & Budgets
Finding percents of amounts, working out sale prices and savings, comparing unit prices to find the better buy, and planning a simple budget and savings goal.
Learning standard: Whole-number percents and percentage discounts; financial literacy — simple budgeting and consumer math
Unit 6
Patterns & Graphs
Describing growing and shrinking patterns with rules like 3n + 2, using tables and graphs to predict values, and reading change over time from line graphs.
Learning standard: Increasing and decreasing patterns, using expressions, tables, and graphs as functional relationships; line graphs
Unit 7
Equations
Using the order of operations (brackets, then × and ÷, then + and −) and solving one-step equations like 6n = 42 with inverse operations, including writing equations for word problems.
Learning standard: One-step equations with whole-number coefficients and solutions; order of operations with whole numbers
Unit 8
Perimeter & Area
Finding the perimeter of L-shapes and other polygons, and the area of triangles (b × h ÷ 2), parallelograms (b × h) and trapezoids ((a + b) × h ÷ 2), including working backwards to a missing measurement.
Learning standard: Perimeter of complex shapes; area of triangles, parallelograms, and trapezoids
Unit 9
Angles & Triangles
Estimating and classifying angles (acute, right, obtuse, straight, reflex), finding missing angles on a line and in triangles, and classifying triangles by their sides and angles.
Learning standard: Angle measurement and classification; triangles
Unit 10
Volume & Capacity
Finding the volume of rectangular prisms, converting between litres and millilitres, and connecting volume to capacity (1 cm³ holds 1 mL).
Learning standard: Volume and capacity
Unit 11
Transformations
Translating, reflecting and rotating points and shapes on a coordinate grid, and combining two transformations in a row.
Learning standard: Combinations of transformations
Unit 12
Probability
Writing probabilities as fractions for spinners, dice and marbles, comparing theoretical probability with experimental results, and making predictions from data.
Learning standard: Single-outcome probability, both theoretical and experimental
Ready to try Gradelings?
Curriculum-matched practice for Kindergarten to Grade 9 in British Columbia and Ontario, with kind hints, learning games and no ads. Free for 30 days, no card needed.