Mathematics 9
Alberta · Grade 9 · Mathematics — the complete curriculum-aligned outline, taught skill by skill by MapleMind's AI tutor.
4Units
26Lessons
69Skills
Unit 1: Number
General outcome: develop number sense. Powers and exponent laws, rational numbers, order of operations, and square roots.
Understanding Powers
- What a power means
- Powers with negative bases
- The zero exponent
- Solving problems with powers
The Exponent Laws
- Product law
- Quotient law
- Power of a power
- Powers of products and quotients
- Combining the laws
The Rational Number System
- What rational numbers are
- Comparing and ordering
- Rationals between rationals
Operations with Rational Numbers
- Adding and subtracting decimals
- Adding and subtracting fractions
- Multiplying and dividing decimals
- Multiplying and dividing fractions
- Problem solving with rationals
Order of Operations
- Order of operations with exponents
- Order of operations with rationals
Square Roots of Perfect Squares
- Perfect squares and their roots
- Fraction and decimal perfect squares
Estimating Square Roots
- Approximating square roots
- Roots between two values
Unit 2: Patterns and Relations
Linear relations and graphing; solving linear equations and inequalities; polynomials of degree ≤ 2.
Linear Patterns and Equations
- Spotting linear patterns
- From pattern to equation
- Verify and predict
Graphing Linear Relations
- Graphing a linear relation
- Reading linear graphs
- Interpolate and extrapolate
Solving Equations I — One and Two Steps
- One-step equations
- Two-step equations
- Equations with fractions and decimals
Solving Equations II — Multi-Step
- Variables on both sides
- Equations with brackets
- Modelling problems with equations
Linear Inequalities
- What inequalities mean
- Solving inequalities
- Inequalities in context
Introducing Polynomials
- Polynomial vocabulary
- Modelling polynomials
- Like terms and equivalent expressions
Adding and Subtracting Polynomials
- Adding polynomials
- Subtracting polynomials
Multiplying and Dividing by Monomials
- Multiplying by a monomial
- Dividing by a monomial
Unit 3: Shape and Space
Circle properties; surface area of composite objects; similarity and scale diagrams; line and rotation symmetry.
Inscribed and Central Angles
- Central and inscribed angles
- Inscribed angles on the same arc
Chord Properties
- The perpendicular-to-a-chord property
- Solving chord problems
Tangent Properties
- Tangents and radii
- Combining circle properties
Surface Area of Composite Objects
- Surface area foundations
- Composite objects and overlap
- Surface-area problem solving
Similar Polygons
- What makes polygons similar
- Solving with similarity
Scale Diagrams
- Reading scale diagrams
- Drawing to scale
Line and Rotation Symmetry
- Line symmetry
- Rotation symmetry
Unit 4: Statistics and Probability
Factors affecting data collection; population vs. sample; a data-analysis project; and the role of probability in society.
Collecting Good Data
- Bias, language and ethics
- Cost, timing, privacy and culture
Population and Sample
- Population vs. sample
- Defending your choice
Your Data Project
- Planning the investigation
- Collecting and displaying
- Analyzing and concluding
Probability in Society
- Probability in everyday decisions
- Assumptions behind the numbers
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