Grade 6 Math
18 units matched to the Prince Edward Island Curriculum.
Learning focus
- Number. Demonstrate an understanding of place value for numbers: greater than one million; less than one thousandth.
- Patterns and Relations. Demonstrate an understanding of the relationships within tables of values to solve problems.
- Shape and Space. Demonstrate an understanding of angles.
- Statistics and Probability. Create, label, and interpret line graphs to draw conclusions.
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.
Curriculum outcome: N1; N2 · reading, writing and comparing numbers from thousandths to billions, and solving problems with them
Unit 2
Integers & Decimals
Meeting negative numbers on a number line, comparing and ordering integers, decimals and fractions, working with thousandths, and rounding decimals.
Curriculum outcome: N7; N1 · integers on a number line, and ordering and rounding decimals to thousandths
Unit 3
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.
Curriculum outcome: N3 · factors, multiples, prime and composite numbers, and common factors and multiples
Unit 4
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.
Curriculum outcome: N3 · divisibility rules, prime numbers and prime factorization
Unit 5
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.
Curriculum outcome: N4; N5 · improper fractions, mixed numbers and ratios
Unit 6
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.
Curriculum outcome: N6 · percent as a part of 100, discounts and simple budgets
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.
Curriculum outcome: N5; N6 · ratios, rates, and finding common percents of an amount
Unit 8
Decimal × and ÷
Multiplying and dividing decimals, estimating to check where the decimal point goes, and solving shopping and measurement problems.
Curriculum outcome: N8 · multiplying and dividing decimals by one-digit whole numbers, and checking where the decimal point goes
Unit 9
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.
Curriculum outcome: N9; PR3; PR4 · order of operations and one-step equations with a letter variable, kept balanced
Unit 10
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.
Curriculum outcome: PR1; PR2 · number patterns, tables of values and graphs, and the rules that connect them
Unit 11
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.
Curriculum outcome: SS1; SS2; SS4 · measuring and classifying angles, angle sums, and classifying triangles
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.
Curriculum outcome: SS3 · perimeter and area of polygons using formulas
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).
Curriculum outcome: SS3 · volume of rectangular prisms and how volume links to capacity
Unit 14
Quadrilaterals & Grids
Properties of quadrilaterals (symmetry and diagonals), top and front views, coordinates in all four quadrants, and combining slides and flips.
Curriculum outcome: SS5; SS8 · sides and angles of polygons, and plotting points on a coordinate grid
Unit 15
Transformations
Translating, reflecting and rotating points and shapes on a coordinate grid, and combining two transformations in a row.
Curriculum outcome: SS6; SS7; SS9 · slides, flips and turns of shapes, alone and combined, on a coordinate grid
Unit 16
Line Graphs & Data
Practises choosing ways to collect data (questionnaires, experiments, observations), reading and labelling line graphs, finding the range, and drawing conclusions from a graph.
Curriculum outcome: SP1; SP2; SP3 · collecting data, drawing and reading line graphs, and drawing conclusions
Unit 17
Data & Graphs
Telling discrete data (counted) from continuous data (measured), reading histograms and line graphs, finding the range, and spotting misleading graphs.
Curriculum outcome: SP1; SP3 · reading histograms and line graphs, finding the range, and spotting misleading graphs
Unit 18
Probability
Writing probabilities as fractions for spinners, dice and marbles, comparing theoretical probability with experimental results, and making predictions from data.
Curriculum outcome: SP4 · possible outcomes, and comparing theoretical and experimental probability
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