Grade 6 Math
14 units matched to the Manitoba Curriculum.
Learning focus
- Number: Develop number sense.
- Patterns and Relations: Use patterns to describe the world and solve problems.
- Patterns and Relations: Represent algebraic expressions in multiple ways.
- Shape and Space: Use direct or indirect measurement to solve problems.
- Shape and Space: Describe the characteristics of 3-D objects and 2-D shapes, and analyze the relationships among them.
- Shape and Space: Describe and analyze position and motion of objects and shapes.
- Statistics and Probability: Collect, display, and analyze data to solve problems.
- Statistics and Probability: Use experimental or theoretical probabilities to represent and solve problems involving uncertainty.
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 outcome: 6.N.1 · place value for numbers greater than one million, reading, writing and comparing large numbers
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 outcome: 6.N.3 · factors and multiples, prime and composite numbers
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 outcome: 6.N.4, 6.N.5 · improper fractions and mixed numbers, and ratio
Unit 4
Decimal × and ÷
Multiplying and dividing decimals, estimating to check where the decimal point goes, and solving shopping and measurement problems.
Learning outcome: 6.N.8 · multiplying and dividing decimals by one-digit whole numbers
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 outcome: 6.N.6 · percent as a part of 100, and using percent in everyday situations
Unit 6
Integers
Practises reading, comparing and ordering positive and negative whole numbers on a number line, finding opposites, and using integers for temperatures, depths and money.
Learning outcome: 6.N.7 · integers: representing, comparing, ordering and using them on a number line
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 outcome: 6.N.9, 6.PR.3, 6.PR.4 · order of operations, equations with letter variables, and keeping equations balanced
Unit 8
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: 6.PR.1, 6.PR.2 · relationships in tables of values, and patterns shown with graphs and tables
Unit 9
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: 6.SS.3 · perimeter of polygons and area of rectangles
Unit 10
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 outcome: 6.SS.1, 6.SS.2, 6.SS.4 · angles, the angle sum of triangles and quadrilaterals, and types of triangles
Unit 11
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: 6.SS.3 · volume of right rectangular prisms
Unit 12
Transformations
Translating, reflecting and rotating points and shapes on a coordinate grid, and combining two transformations in a row.
Learning outcome: 6.SS.6, 6.SS.7, 6.SS.8, 6.SS.9 · transformations and plotting points in the first quadrant
Unit 13
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.
Learning outcome: 6.SP.1, 6.SP.2, 6.SP.3 · collecting data, and creating and interpreting line graphs to draw conclusions
Unit 14
Probability
Writing probabilities as fractions for spinners, dice and marbles, comparing theoretical probability with experimental results, and making predictions from data.
Learning outcome: 6.SP.4 · possible outcomes and probability of an event
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