Alberta
Skills available for Alberta grade 6 math curriculum
Objectives are in black and IXL math skills are in dark green. Hold your mouse over the name of a skill to view a sample question. Click on the name of a skill to practise that skill.
Show alignments for:
- Alberta Program of Studies (adopted in 2022) Alberta Program of Studies (adopted in 2022)
- Alberta Program of Studies Alberta Program of Studies
- WNCP Common Curriculum Frameworks WNCP Common Curriculum Frameworks
Actions
Number
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Students investigate magnitude with positive and negative numbers.
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Identify negative numbers in familiar contexts, including contexts that use vertical or horizontal models of the number line.
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Express positive and negative numbers symbolically, in context.
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Relate magnitude to the distance from zero on the number line.
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Relate positive and negative numbers, including additive inverses, to their positions on horizontal and vertical models of the number line.
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Compare and order positive and negative numbers.
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Express the relationship between two numbers, including positive and negative numbers, using <, >, or =.
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Investigate addition of an integer and its additive inverse.
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Express zero as the sum of integers in multiple ways.
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Model the sum of two positive integers.
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Model the sum of two negative integers.
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Model the sum of a positive and negative integer as the sum of zero and another integer.
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Add any two integers.
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Express a difference as a sum.
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Students solve problems using standard algorithms for addition and subtraction.
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Solve problems in various contexts using standard algorithms for addition and subtraction.
- Add and subtract whole numbers (6-D.1)
- Add and subtract whole numbers: word problems (6-D.2)
- Complete addition and subtraction sentences (6-D.3)
- Add and subtract decimal numbers (6-D.6)
- Add and subtract decimals: word problems (6-D.7)
- Maps with decimal distances (6-D.10)
- Add and subtract money amounts: word problems (6-S.3)
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Students analyze numbers using prime factorization and exponentiation.
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Compose a product in multiple ways, including with more than two factors.
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Express the prime factorization of a composite number.
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Determine common factors for two natural numbers, using prime factorization.
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Determine divisibility of a natural number from its prime factorization.
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Identify the base and exponent in a power.
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Express the product of identical factors as a power, including within a prime factorization.
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Describe the divisibility of numbers represented in various forms.
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Students apply standard algorithms to multiplication and division of decimal and natural numbers.
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Explain the standard algorithms for multiplication and division of decimal numbers.
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Multiply and divide up to 3-digit natural or decimal numbers by 2-digit natural numbers, using standard algorithms.
- Multiply a decimal by a 1-digit whole number (5-K.7)
- Multiply a decimal by a 2-digit whole number (5-K.9)
- Multiply whole numbers (6-E.1)
- Multiply numbers ending in zeroes (6-E.4)
- Multiply three or more numbers (6-E.6)
- Divide by two-digit numbers using partial quotients (6-F.2)
- Divide by two-digit numbers (6-F.3)
- Divide whole numbers: decimal quotients (6-G.14)
- Divide decimals by whole numbers (6-G.18)
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Assess the reasonableness of a product or quotient using estimation.
- Estimate sums and differences of decimals using rounding (6-D.8)
- Estimate sums and differences of decimals using benchmarks (6-D.9)
- Estimate products (6-E.8)
- Estimate products: word problems (6-E.9)
- Estimate quotients: two-digit divisors (6-F.9)
- Estimate quotients (6-F.10)
- Estimate quotients: word problems (6-F.11)
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Solve problems using multiplication and division, including problems involving money.
- Multiply whole numbers: word problems (6-E.2)
- Multiply numbers ending in zeroes: word problems (6-E.5)
- Multiply three or more numbers: word problems (6-E.7)
- Divide by two-digit numbers: word problems (6-F.4)
- Divide numbers ending in zeroes: word problems (6-F.7)
- Multiply a decimal up to tenths by a whole number: word problems (6-G.7)
- Multiply a decimal up to hundredths by a whole number: word problems (6-G.8)
- Multiply money: word problems (6-S.5)
- Divide money amounts: word problems (6-S.7)
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Students relate fractions to quotients.
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Model an equal-sharing situation in more than one way.
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Describe an equal-sharing situation using a fraction.
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Express a fraction as a division statement and vice versa.
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Convert a quotient from fraction to decimal form using division.
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Students add and subtract fractions with denominators within 100.
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Recognize two fractions with related denominators.
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Determine the factor that relates one denominator to another.
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Express two fractions with common denominators.
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Add and subtract fractions.
- Add fractions with unlike denominators using models (6-K.4)
- Add fractions with unlike denominators I (6-K.5)
- Add fractions with unlike denominators II (6-K.6)
- Subtract fractions with unlike denominators using models (6-K.7)
- Subtract fractions with unlike denominators I (6-K.8)
- Subtract fractions with unlike denominators II (6-K.9)
- Add and subtract fractions with unlike denominators I (6-K.10)
- Add and subtract fractions with unlike denominators II (6-K.11)
- Inequalities with addition and subtraction of like fractions (6-K.14)
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Solve problems involving addition and subtraction of fractions.
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Students interpret the multiplication of natural numbers by fractions.
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Relate multiplication of a natural number by a fraction to repeated addition of the fraction.
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Multiply a natural number by a fraction.
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Relate multiplication by a unit fraction to division.
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Multiply a natural number by a unit fraction.
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Model a fraction of a natural number.
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Multiply a fraction by a natural number.
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Solve problems using multiplication of a fraction and a natural number.
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Students apply equivalence to the interpretation of ratios and rates.
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Determine whether two ratios are equivalent.
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Determine an equivalent ratio using a proportion.
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Express a unit rate to represent a given rate, including unit price and speed.
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Relate percentage of a number to a proportion.
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Determine a percent of a number, limited to percentages within 100%.
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Solve problems involving ratios, rates, and proportions.
- Write a ratio: word problems (6-P.3)
- Which model represents the ratio? (6-P.4)
- Equivalent ratios: word problems (6-P.8)
- Equivalent rates (6-P.10)
- Use tape diagrams to solve ratio word problems (6-P.11)
- Compare ratios: word problems (6-P.12)
- Compare rates: word problems (6-P.13)
- Ratios and rates: word problems (6-P.14)
- Do the ratios form a proportion? (6-P.15)
- Scale drawings: word problems (6-P.17)
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Algebra
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Students analyze expressions and solve algebraic equations.
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Evaluate numerical expressions involving operations in parentheses and powers according to the order of operations.
- Evaluate numerical expressions involving whole numbers (6-M.3)
- Evaluate numerical expressions with exponents (6-M.4)
- Identify mistakes involving the order of operations (6-M.5)
- Evaluate numerical expressions with parentheses in different places (6-M.6)
- Evaluate numerical expressions involving decimals (6-M.10)
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Investigate like terms by modelling an algebraic expression.
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Simplify algebraic expressions by combining like terms.
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Express the terms of an algebraic expression in a different order in accordance with algebraic properties.
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Simplify algebraic expressions on both sides of an equation.
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Solve equations, limited to equations with one or two operations.
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Determine different strategies for solving equations.
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Verify the solution to an equation by evaluating expressions on each side of the equation.
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Solve problems using equations, limited to equations with one or two operations.
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Geometry
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Students analyze shapes through symmetry and congruence.
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Verify symmetry of two shapes by reflecting or rotating one shape onto another.
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Describe the symmetry between two shapes as reflection symmetry or rotation symmetry.
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Visualize and describe a combination of two transformations that relate symmetrical shapes.
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Describe the symmetry modelled in a tessellation.
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Investigate tessellations found in objects, art, or architecture.
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Demonstrate congruence between two shapes in any orientation by superimposing using hands-on materials or digital applications.
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Describe symmetrical shapes as congruent.
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Coordinate Geometry
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Students explain location and movement in relation to position in the Cartesian plane.
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Relate the axes of the Cartesian plane to intersecting horizontal and vertical representations of the number line.
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Locate a point in the Cartesian plane given the coordinates of the point.
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Describe the location of a point in the Cartesian plane using coordinates.
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Model a polygon in the Cartesian plane using coordinates to indicate the vertices.
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Describe the location of the vertices of a polygon in the Cartesian plane using coordinates.
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Create an image of a polygon in the Cartesian plane by translating the polygon.
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Describe the horizontal and vertical components of a given translation.
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Create an image of a polygon in the Cartesian plane by reflecting the polygon over the x-axis or y-axis.
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Describe the line of reflection of a given reflection.
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Create an image of a polygon in the Cartesian plane by rotating the polygon 90°, 180°, or 270° about one of its vertices, clockwise or counter-clockwise.
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Describe the angle and direction of a given rotation.
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Relate the coordinates of a polygon and its image after translation, reflection, or rotation in the Cartesian plane.
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Measurement
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Students analyze areas of parallelograms and triangles.
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Rearrange the area of a parallelogram to form a rectangular area using hands-on materials or digital applications.
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Determine the area of a parallelogram using multiplication.
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Determine the base or height of a parallelogram using division.
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Model the area of a parallelogram as two congruent triangles.
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Describe the relationship between the area of a triangle and the area of a parallelogram with the same base and height.
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Determine the area of a triangle, including various triangles with the same base and height.
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Solve problems involving the areas of parallelograms and triangles.
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Visualize the decomposition of composite areas in various ways.
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Determine the area of composite shapes using the areas of triangles and parallelograms.
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Students interpret and express volume.
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Recognize volume in familiar contexts.
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Model volume of prisms by dragging or iterating an area using hands-on materials or digital applications.
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Create a model of a three-dimensional shape by stacking congruent non-standard units or cubic centimetres without gaps or overlaps.
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Express volume in non-standard units or cubic centimetres.
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Visualize and model the volume of various right rectangular prisms as three-dimensional arrays of cube-shaped units.
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Determine the volume of a right rectangular prism using multiplication.
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Solve problems involving volume of right rectangular prisms.
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Patterns
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Students investigate functions to enhance understanding of change.
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Identify the dependent and independent variables in a given situation, including situations involving change over time.
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Describe the rule that determines the values of the dependent variable from values of the independent variable.
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Represent corresponding values of the independent and dependent variables of a function in a table of values and as points in the Cartesian plane.
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Write an algebraic expression that represents a function.
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Recognize various representations of the same function.
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Determine a value of the dependent variable of a function given the corresponding value of the independent variable.
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Investigate strategies for determining a value of the independent variable of a function given the corresponding value of the dependent variable.
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Solve problems involving a function.
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Statistics
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Students investigate relative frequency using experimental data.
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Interpret frequency of categorized data as relative frequency.
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Express relative frequencies as decimals, fractions, or percentages.
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Identify the possible outcomes of an experiment involving equally likely outcomes.
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Collect categorized data through experiments.
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Predict the likelihood of an event based on the possible outcomes of an experiment.
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Determine relative frequency for categories of a sample of data.
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Describe the likelihood of an outcome in an experiment using relative frequency.
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Analyze relative frequency statistics from experiments with different sample sizes.
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