Grade 6 Math
13 units matched to the Alberta Curriculum.
Organizing ideas
- Number: Work with positive and negative whole numbers and decimals to thousandths, add and subtract integers, use prime factorization and powers, and multiply and divide decimals with standard algorithms.
- Fractions and ratios: Relate fractions to division, add and subtract fractions, multiply a fraction by a whole number, and use unit rates, equivalent ratios and percents.
- Algebra: Evaluate expressions with powers, use the commutative, associative and distributive properties, and solve one- and two-step equations.
- Patterns: Study functions through tables of values, increasing and decreasing sequences and algebraic expressions.
- Geometry: Analyze shapes through reflection, rotation and symmetry, and use the Cartesian plane to describe location and transformations.
- Measurement: Find the area of parallelograms, triangles and composite figures, and the volume of prisms.
Units
Unit 1
Integers & Decimals
Meeting negative numbers on a number line, comparing and ordering integers, decimals and fractions, working with thousandths, and rounding decimals.
Learning outcome: 6N1.1 · positive and negative numbers, comparing integers and decimals to thousandths
Unit 2
Adding and Subtracting Integers
Using a number line to add and subtract positive and negative integers, additive inverses, comparing integers and winter temperature changes.
Learning outcome: 6N1.2, 6N1.3 · adding and subtracting integers, opposites that add to zero, and comparing integers
Unit 3
Factors & Primes
Using divisibility rules for 2, 3, 4, 5, 6, 8, 9 and 10, telling prime from composite, and writing a number as a product of prime factors.
Learning outcome: 6N3.1 · divisibility, prime and composite numbers and prime factorization
Unit 4
Powers and Common Factors
Reading and writing powers such as 3⁴, evaluating them, order of operations with powers, writing prime factorizations with exponents, and finding common factors and the greatest common factor.
Learning outcome: 6N3.1, 6N3.2, 6A1.1 · exponents, prime factorization with powers, common factors and evaluating expressions with powers
Unit 5
Decimal × and ÷
Multiplying and dividing decimals, estimating to check where the decimal point goes, and solving shopping and measurement problems.
Learning outcome: 6N2.1, 6N4.1 · adding, subtracting, multiplying and dividing decimals with standard algorithms
Unit 6
Fractions
Adding and subtracting fractions that have different denominators, and multiplying or dividing whole numbers by fractions such as 2/3.
Learning outcome: 6N5.1, 6N6.1, 6N7.1 · fractions as quotients, adding and subtracting fractions, and multiplying a fraction by a whole number
Unit 7
Percents & Ratios
Finding 1%, 5%, 10%, 15%, 25% and 50% of a number in your head, and solving ratio, rate and percent problems.
Learning outcome: 6N8.1 · unit rates, equivalent ratios and percent of a number
Unit 8
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 outcome: 6A1.1, 6A1.3 · order of operations and solving one- and two-step equations
Unit 9
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 outcome: 6P1.1 · functions as tables of values, expressions and graphs
Unit 10
Symmetry and Congruence
Lines of symmetry in regular and irregular polygons, rotational symmetry and turn angles, congruent shapes, which moves keep a shape congruent, and tiling a surface.
Learning outcome: 6G1.1, 6G1.2 · reflection and rotational symmetry, regular polygons, congruent shapes and tessellations
Unit 11
Transformations
Translating, reflecting and rotating points and shapes on a coordinate grid, and combining two transformations in a row.
Learning outcome: 6G1.2, 6CG1.1, 6CG1.2 · the Cartesian plane and translations, reflections and rotations
Unit 12
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 outcome: 6M1.1, 6M1.2 · area of parallelograms, triangles and composite figures
Unit 13
Volume & Capacity
Finding the volume of rectangular prisms, converting between litres and millilitres, and connecting volume to capacity (1 cm³ holds 1 mL).
Learning outcome: 6M2.1 · volume of rectangular prisms
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