Grade 6 Math
14 units matched to the New Brunswick Curriculum.
Learning focus
- Number: Number Sense. Describe numbers, ways of representing numbers, relationships among numbers, and number systems.
- Number: Operations. Add, subtract, multiply, and divide decimals to solve problems (1-digit whole number multipliers and 1-digit natural number divisors).
- Statistics and Probability: Data Analysis. Collect and represent data.
- Statistics and Probability: Chance and Uncertainty. Determine the probability of outcomes to solve problems.
- Patterns and Relations: Algebra. Develop equations using letter variables.
- Shape and Space: Measurement. Investigate perimeter, area, volume, and their relationships.
- Shape and Space: 2-D Shapes and 3-D Objects. Describe 3D objects.
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.
Skill descriptor: Number: Number Sense · place value from billions to thousandths, and solving problems with whole numbers and decimals
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.
Skill descriptor: Number: Operations · factors and multiples
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.
Skill descriptor: Number: Number Sense · improper fractions, mixed numbers and ratios
Unit 4
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.
Skill descriptor: Number: Number Sense · percent as a part of 100
Unit 5
Decimal × and ÷
Multiplying and dividing decimals, estimating to check where the decimal point goes, and solving shopping and measurement problems.
Skill descriptor: Number: Operations · multiplying and dividing decimals
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.
Skill descriptor: Patterns and Relations: Algebra · tables of values, graphs and patterns
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.
Skill descriptor: Patterns and Relations: Algebra · equations with letter variables and preservation of equality
Unit 8
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.
Skill descriptor: Shape and Space: Measurement, Shape and Space: 2-D Shapes and 3-D Objects · angles, interior angles and triangles
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.
Skill descriptor: Shape and Space: Measurement · formulas for perimeter and area
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).
Skill descriptor: Shape and Space: Measurement · volume of right rectangular prisms
Unit 11
Quadrilaterals & Grids
Properties of quadrilaterals (symmetry and diagonals), top and front views, coordinates in all four quadrants, and combining slides and flips.
Skill descriptor: Shape and Space: 2-D Shapes and 3-D Objects · plotting points in the first quadrant of a Cartesian plane
Unit 12
Transformations
Translating, reflecting and rotating points and shapes on a coordinate grid, and combining two transformations in a row.
Skill descriptor: Shape and Space: 2-D Shapes and 3-D Objects · translations, rotations and reflections, alone and combined
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.
Skill descriptor: Statistics and Probability: Data Analysis · line graphs and collecting data
Unit 14
Probability
Writing probabilities as fractions for spinners, dice and marbles, comparing theoretical probability with experimental results, and making predictions from data.
Skill descriptor: Statistics and Probability: Chance and Uncertainty · possible outcomes and probability
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