Grade 9 Math
9 units matched to the Prince Edward Island Curriculum.
Learning focus
- Number. Demonstrate an understanding of powers with integral bases (excluding base 0) and whole number exponents.
- Patterns and Relations. Generalize a pattern arising from a problem-solving context using linear equations and verify by substitution.
- Shape and Space. Develop and apply the Pythagorean theorem to solve problems.
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.
Curriculum outcome: 9.N1; 9.N2; 9.N4 · evaluating powers, using exponent laws and the order of operations with exponents
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.
Curriculum outcome: 9.N3 · comparing, ordering and operating with positive and negative fractions and decimals
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.
Curriculum outcome: 9.N5; 9.N6; 9.N7 · perfect squares, square roots and estimating square roots
Unit 4
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.
Curriculum outcome: 9.PR1 · patterns as linear equations, slope, intercepts and graphs
Unit 5
Multi-Step Equations
Solving linear equations with brackets, fractions and variables on both sides, checking solutions, and turning word problems into equations.
Curriculum outcome: 9.PR2 · solving linear equations with brackets, fractions and variables on both sides
Unit 6
Polynomials
Naming polynomials by terms and degree, combining like terms, subtracting polynomials, multiplying and dividing by a constant, and substituting values for x.
Curriculum outcome: 9.PR4; 9.PR5; 9.PR6 · naming, adding, subtracting, multiplying and dividing polynomials
Unit 7
Right Triangles & Scaling
Using the Pythagorean relationship for ladders, ramps, roofs and diagonals, deciding whether a triangle is right-angled, and seeing how doubling or tripling dimensions changes perimeter, area and volume.
Curriculum outcome: 9.SS1 · using the Pythagorean theorem to solve problems
Unit 8
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.
Curriculum outcome: 9.SS2 · surface area of prisms, cylinders and joined (composite) objects
Unit 9
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.
Curriculum outcome: 9.SS3; 9.SS4 · similar triangles, scale factors and scale diagrams
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