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Maths 6
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TermUnitMain ConceptsEssential Questions
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1WRM: Algebraic Thinking WRM: Directed Number WRM: Place Value & ProportionAlgebraic Notation, Equality/Equivalence, Linear Patterns, Adding & Subtracting Integers, Place Value (Decimals/Integers), Order of Operations (BEDMAS), Divisibility Rules.How does the abstract language of algebra help us generalize patterns and solve problems? How can we extend the number system to include negative values? Why is number sense essential for mathematical fluency?
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2WRM: Applications of Number WRM: Geometry (Lines & Angles) WRM: Ratio & ProportionOperations with Decimals, Percents (1-100%), Adding/Subtracting Fractions, Angle Properties (Straight Lines, Intersecting Lines), Linear Relations (Graphs/Tables), Ratio, Rate, and Proportion.How do the fundamental operations of arithmetic apply to decimals and fractions? How can we use the properties of lines and angles to find missing values? How does proportional reasoning connect fractions, decimals, and percents?
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3WRM: Developing Geometry WRM: Reasoning with Data Final ReviewArea of Triangles, Parallelograms, and Circles; Circumference; 4-Quadrant Coordinates, Transformations, Central Tendency (Mean, Median, Mode, Range), Circle Graphs, Probability.How are the areas of different 2D shapes related? How do we use the coordinate plane to describe position and movement? How can we use data analysis and probability to make informed conclusions about the world?
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WeekFocus / Key ConceptsActivities / PracticeAlberta Grade 6 Outcomes (SLOs)
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1Sequences (Linear/Non-linear)Investigation: Describing term-to-term and position-to-term rules.PR1: Oral & written patterns and their linear relations.
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2Algebraic NotationUnderstanding variables, coefficients, terms. Formulating simple expressions.PR2: Difference between an expression and an equation.
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3Equality & EquivalenceCollecting like terms. Using inverse operations to maintain equality.PR2: Preservation of equality (concrete, pictorial, symbolic).
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4One-Step Equations (Add/Subtract)Solving x+a=b using models (tiles, balance scales) and inverse operations.PR6: Model & solve x+a=b where a and b are integers.
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5One-Step Equations (Multiply/Divide)Solving ax=b and ax​=b. Word problems application.PR7: Model & solve ax=b and ax+b=c (using whole numbers).
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6Two-Step EquationsSolving ax+b=c (whole number coefficients/constants). Verification of solutions.PR7: Model and solve ax+b=c.
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7 Directed Number (Intro & Addition)Understanding positive/negative integers. Adding integers using number lines and counters.N6: Demonstrate understanding of addition and subtraction of integers.
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8Directed Number (Subtraction)Defining subtraction as adding the opposite. Subtracting integers.N6: Demonstrate understanding of addition and subtraction of integers.
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9Directed Number (Operations Application)Applying integer rules to solve simple contextual problems. Introduction to Order of Operations (BEDMAS) with integers.N6: Application of integer operations.
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10Place Value (Integers & Decimals)Reviewing place value to the right and left of the decimal. Rounding decimals.N1: Divisibility rules (up to 10). N7: Compare & order positive fractions/decimals.
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11Divisibility & Common FactorsDetermining and explaining divisibility rules for 2, 3, 4, 5, 6, 8, 9, 10.N1: Divisibility rules.
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12Decimals (Multiplication & Division)Review of multiplying and dividing decimals by whole numbers and decimals.N2: Demonstrate understanding of decimal operations.
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13Order of OperationsApplying the Order of Operations (BEDMAS/PEMDAS) to expressions with whole numbers and decimals.N2: Order of Operations.
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14Fraction, Decimal, Percent EquivalenceConverting between fractions, decimals, and percents (1% to 100%).N3: Solve problems involving percents (1% to 100%).
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15Percent CalculationsFinding the percent of a number. Simple percent word problems (e.g., discounts).N3: Solve problems involving percents.
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16Term 1 Review & AssessmentCumulative review of Number Sense, Integers, and Basic Algebra.Assessment of N1-N3, N6, PR1-PR2, PR6-PR7.
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WeekFocus / Key ConceptsActivities / PracticeAlberta Grade 6 Outcomes (SLOs)
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1Fractions (Addition/Subtraction)Modelling (pictorial, concrete) addition/subtraction of fractions with unlike denominators.N5: Demonstrate understanding of adding & subtracting positive fractions/mixed numbers.
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2Fractions (Mixed Numbers)Converting between mixed numbers and improper fractions. Adding and subtracting mixed numbers.N5: Adding and subtracting mixed numbers.
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3Applications of Number (Consumer Math)Two-step problems involving decimals and percents (e.g., tax and total cost).N2, N3: Solve multi-step problems with decimals and percents.
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4Lines & Angles (Notation/Measuring)Using angle notation. Measuring and drawing angles up to 180∘. Geometric constructions.SS4: Perform geometric constructions (perpendicular/parallel line segments, bisectors).
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5Lines & Angles (Properties)Angles on a straight line, vertically opposite angles, angles at a point.SS4: Develop geometric reasoning.
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6Angles in Polygons (Triangles)Sum of angles in a triangle. Classifying triangles based on sides/angles.SS4: Classifying triangles.
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7Ratio & Rate (Introduction)Writing ratios (part-to-part, part-to-whole). Introducing unit rates.PR6: Demonstrate understanding of ratio and rate.
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8Linear Relations (Graphs/Tables)Creating a table of values from a linear relation. Graphing the relation in the first quadrant.PR1: Graph the table of values from a linear relation.
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9Proportional ReasoningSolving problems involving proportional relationships using ratios and rates.PR6: Use proportional reasoning to solve problems.
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10Measures (Area: Parallelogram & Triangle)Developing the area formula for parallelograms (A=bh) and triangles (A=21​bh).SS2: Develop and apply a formula for the area of triangles and parallelograms.
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11Measures (Circles: Circumference)Describing relationships among radius, diameter, and circumference. Relating circumference to π.SS1: Demonstrate understanding of circles (radius, diameter, circumference, π).
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12Term 2 Review & AssessmentCumulative assessment on Fractions, Geometry, Ratio/Rate, and Linear Relations.Assessment of N5, PR1, PR6, SS1-SS4.
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WeekFocus / Key ConceptsActivities / PracticeAlberta Grade 6 Outcomes (SLOs)
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1Developing Geometry (Area of Circles)Developing and applying the formula for the area of a circle (A=πr2). Solving related problems.SS2: Develop and apply a formula for the area of a circle.
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2Coordinates (4 Quadrants)Identifying and plotting points in all four quadrants of a Cartesian plane (integral coordinates).SS5: Identify and plot points in the four quadrants.
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3Transformations (4 Quadrants)Performing and describing reflections, rotations, and translations of 2D shapes in all four quadrants.SS6: Perform and describe transformations.
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4Reasoning with Data (Central Tendency)Determining mean, median, mode, and range. Finding the most appropriate measure to report findings.SP1: Demonstrate understanding of central tendency and range.
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5Reasoning with Data (Outliers/Effect)Determining the effect on mean, median, and mode when an outlier is included in the data set.SP1: Determine the effect of an outlier.
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6Reasoning with Data (Circle Graphs)Constructing, labeling, and interpreting circle graphs (pie charts) to solve problems.SP2: Construct, label, and interpret circle graphs.
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7ProbabilityExpressing probability as ratios, fractions, and percents. Identifying the sample space (two independent events).SP3: Express probabilities as ratios, fractions, and percents.
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8Final Review (Number & Algebra)Comprehensive review of integers, fractions, decimals, percents, and equation solving.Review N1-N7, PR1-PR7.
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9Final Review (Geometry & Data)Comprehensive review of area, circumference, transformations, central tendency, and probability.Review SS1-SS6, SP1-SP3.
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10Final Exam Prep & AssessmentPractice Final Exam, Cumulative Assessment, and Course Wrap-up.All Grade 6 SLOs.
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