Grade 9 Math
10 units matched to the Alberta Curriculum.
Organizing ideas
- Number: develop number sense, including powers, exponent laws, rational numbers, the order of operations and square roots
- Patterns and Relations: use patterns to describe the world and solve problems, including linear relations, linear equations and polynomials
- Shape and Space: use direct and indirect measurement to solve problems, describe the properties of circles, similar shapes, scale diagrams, symmetry and the surface area of 3-D objects
- Statistics and Probability: collect, display and analyze data to solve problems, and understand the role of probability in society
Units
Unit 1
Exponents & Powers
Evaluating powers, using the product, quotient and power laws, working with powers of products and fractions, and order of operations with exponents.
Learning outcome: N1, N2 · powers with whole-number exponents and the exponent laws
Unit 2
Rational Numbers
Adding, subtracting, multiplying and dividing fractions and decimals that may be negative, converting between fractions and decimals, ordering rational numbers, and using BEDMAS.
Learning outcome: N3, N4 · operations on rational numbers and the order of operations
Unit 3
Square Roots
Finding the square root of whole numbers, decimals and fractions that are perfect squares, and estimating the square root of other numbers by placing them between two perfect squares.
Learning outcome: N5, N6 · square roots of perfect squares, and estimating square roots that are not perfect squares
Unit 4
Polynomials
Naming polynomials by terms and degree, combining like terms, subtracting polynomials, multiplying and dividing by a constant, and substituting values for x.
Learning outcome: PR5, PR6, PR7 · adding, subtracting, multiplying and dividing polynomials of degree 2 or less
Unit 5
Multi-Step Equations
Solving linear equations with brackets, fractions and variables on both sides, checking solutions, and turning word problems into equations.
Learning outcome: PR3, PR4 · solving linear equations and single-variable inequalities
Unit 6
Linear Relations
Finding slope from points and graphs, reading y = mx + b, finding intercepts, deciding whether a point is on a line, spotting parallel lines, and using rates of change in stories.
Learning outcome: PR1, PR2 · writing, graphing and analysing linear relations
Unit 7
Similarity & Scale
Using scale factors to find missing sides, solving shadow and scale-drawing problems, and seeing how enlarging a shape changes its area and volume.
Learning outcome: SS3, SS4 · similar polygons and scale diagrams
Unit 8
Circle Properties
Using the rules of circle geometry: a perpendicular from the centre bisects a chord, a central angle is twice an inscribed angle on the same arc, inscribed angles on the same arc are equal, and a tangent meets the radius at 90°.
Learning outcome: SS1 · chords, central and inscribed angles, and tangents
Unit 9
Surface Area of Objects
Finding the surface area of a rectangular prism, of two solids joined together (taking away the faces that are hidden), and of a cylinder written in terms of π.
Learning outcome: SS2 · surface area of composite 3-D objects made from prisms and cylinders
Unit 10
Statistics in Society
Telling a population from a sample, spotting bias in who is asked and how, predicting from a sample, noticing misleading graphs, and why correlation is not causation.
Learning outcome: SP1, SP2, SP3 · bias, samples and populations, and planning a data project
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