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Mathematics
Lessons aligned to Alberta's mathematics curriculum, kindergarten through Grade 9. Pick a grade to start.
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37 lessonsTrail map
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- MATH · 7NUM-1-1
Absolute Value: How Far From Zero
Analyze positive and negative numbers, including absolute value, fractions, and decimals on the number line.
- MATH · 7NUM-1-2
Magnitude vs Signed Value
Analyze positive and negative numbers, including absolute value, fractions, and decimals on the number line.
- MATH · 7NUM-1-3
Compare and Order Positive and Negative Rationals
Analyze positive and negative numbers, including absolute value, fractions, and decimals on the number line.
- MATH · 7NUM-2-1
Adding and Subtracting Integers
Apply operations (addition, subtraction, multiplication, division) to integers, decimals, and fractions, including order of operations.
- MATH · 7NUM-2-2
Multiplying and Dividing Integers
Apply operations (addition, subtraction, multiplication, division) to integers, decimals, and fractions, including order of operations.
- MATH · 7NUM-2-3
Operations with Rational Numbers
Apply operations (addition, subtraction, multiplication, division) to integers, decimals, and fractions, including order of operations.
- MATH · 7NUM-3-1
Perfect Squares and Square Roots
Interpret perfect squares (within 144) and perfect cubes (within 125) through repeated multiplication, powers, square roots, cube roots, and area or volume models.
- MATH · 7NUM-3-2
Perfect Cubes and Cube Roots
Interpret perfect squares (within 144) and perfect cubes (within 125) through repeated multiplication, powers, square roots, cube roots, and area or volume models.
- MATH · 7NUM-4-1
Multiplying Fractions
Multiply and divide positive fractions and decimals, including using reciprocals and area models, in real-world situations.
- MATH · 7NUM-4-2
Dividing Fractions
Multiply and divide positive fractions and decimals, including using reciprocals and area models, in real-world situations.
- MATH · 7NUM-4-3
Multiplying and Dividing Decimals
Multiply and divide positive fractions and decimals, including using reciprocals and area models, in real-world situations.
- MATH · 7NUM-4-4
Order of Operations
Evaluate numerical expressions involving integers, fractions, and decimals according to the conventional order of operations.
- MATH · 7NUM-5-1
Equivalent Ratios and Proportional Reasoning
Apply proportional reasoning to solve problems involving ratios and percentages, including in real-world situations.
- MATH · 7NUM-5-2
Percent: Discounts, Taxes, and Tips
Apply proportional reasoning to solve problems involving ratios and percentages, including in real-world situations.
- MATH · 7ALG-1-1
Introducing Algebra
Solve linear equations with algebraic terms on both sides using equivalence and the distributive property.
- MATH · 7ALG-1-2
Simplifying Algebraic Expressions
Solve linear equations with algebraic terms on both sides using equivalence and the distributive property.
- MATH · 7ALG-1-3
Solving Linear Equations
Solve linear equations with algebraic terms on both sides using equivalence and the distributive property.
- MATH · 7ALG-1-4
When the Balance Breaks
Solve linear equations with algebraic terms on both sides using equivalence and the distributive property.
- MATH · 7ALG-1-5
Variables on Both Sides
Solve linear equations with algebraic terms on both sides using equivalence and the distributive property.
- MATH · 7ALG-1-6
Modelling Word Problems with Equations
Model and solve linear equations from real situations, including equations with terms on both sides.
- MATH · 7GEO-1-1
Geometric Objects and Their Notation
Define and distinguish lines, rays, line segments, angles, and polygons; read and write the standard notation that names each one, including the markings (perpendicular, parallel, congruent) that diagrams use.
- MATH · 7GEO-1-2
Angle Relationships at Intersections
Identify opposite (vertical) and adjacent (supplementary) angles at the intersection of two straight lines; apply the rules (opposite angles are congruent, adjacent angles sum to 180°) to find missing angles, including the perpendicular special case and intersections of three or more lines through a single point.
- MATH · 7GEO-1-3
Parallel Lines and Transversals
Identify corresponding, alternate, and co-interior angles when a transversal cuts two parallel lines using the F, Z, and C patterns; apply the corresponding-angles theorem in both directions to find missing angles and to verify whether two lines are parallel.
- MATH · 7GEO-1-4
Congruent Polygons
Define congruent polygons (corresponding sides and corresponding angles equal); read congruence notation including the vertex correspondence implied by the letter order; interpret hash-mark and arc markings on diagrams; verify congruence for both triangles and four-vertex polygons.
- MATH · 7GEO-1-5
Solving Geometric Problems with Multiple Relationships
Solve multi-step geometric problems by combining vertical, supplementary, corresponding, alternate, and congruence relationships in a chain of reasoning; cite the specific rule used at each step.
- MATH · 7MEA-1-1
Circle Anatomy and Vocabulary
Interpret circles by identifying centre, radius, diameter, and circumference before using circle formulas.
- MATH · 7MEA-1-2
Discovering Pi
Investigate the relationship between circumference and diameter and calculate circumference or diameter using pi.
- MATH · 7MEA-1-3
Area of a Circle
Derive and use the area formula for circles, and distinguish area from circumference.
- MATH · 7MEA-1-4
Solving Circle Problems
Solve direct, inverse, and multi-step problems involving area and circumference of circles.
- MATH · 7MEA-2-1
Volume of Right Prisms
Define a right prism; calculate its volume from a polygonal base and a perpendicular height using V = Bh; solve forward and inverse problems in real-world contexts.
- MATH · 7MEA-2-2
Volume of Right Cylinders
Define a right cylinder; calculate its volume from a circular base and a perpendicular height using V = πr²h; solve forward and inverse problems in real-world contexts.
- MATH · 7FUN-1-1
Relations vs Functions
Distinguish a function from a more general relation; identify independent (input) and dependent (output) variables; apply the vertical line test to graphs.
- MATH · 7FUN-1-2
Domain and Range
Interpret functions through their domain (set of inputs) and range (set of outputs); distinguish discrete from continuous; communicate both in words and as intervals.
- MATH · 7STA-1-1
Populations, Samples, and Random Sampling
Distinguish a population from a sample; identify when a census or a sample is appropriate; use simple random or systematic methods to draw representative samples; estimate population proportions from sample proportions.
- MATH · 7STA-1-2
Mean, Median, Mode, and Range
Compute and interpret mean, median, mode, and range for a quantitative data set; recognize when each statistic is more or less robust to outliers; use sample statistics to draw conclusions about the population.
- MATH · 7PRO-1-1
Likelihood and Sample Space
Describe likelihood qualitatively (certain, impossible, equally likely); list the sample space of a simple experiment; identify favourable outcomes for a given event.
- MATH · 7PRO-1-2
Theoretical and Experimental Probability
Compute theoretical and experimental probability; predict experimental probability from theoretical; recognize the sum-to-one rule and the independence of trials; express probability in ratio, fraction, decimal, and percentage forms.