Grade 9 Math Help, Built for Alberta's Curriculum

Grade 9 Math curriculum: 9 units, 45 lessons (Alberta Mathematics (Grade 9))

Unit 1: Square Roots & Surface Area

Perfect squares, estimating square roots, and the surface area of prisms and composite objects.

• Perfect Squares Review, Warm up for the PAT year by recalling why numbers like 16, 49, and 144 are perfect squares, each is the area of a square with whole-number sides.
• Square Roots of Perfect Squares, Undo squaring to evaluate square roots exactly: the root of 81 is 9 because 9 times 9 gives 81, no estimating required.
• Square Roots of Non-Perfect Squares, Estimate square roots of non-perfect squares by trapping them between perfect squares, root 20 sits between 4 and 5, just under 4.5.
• Surface Area of Right Rectangular Prisms, Calculate the surface area of a right rectangular prism by finding all six face areas and adding them up, nets make every face easy to see.
• Surface Area of Composite Objects, Break a composite object into simpler solids, total the exposed faces, and subtract the overlapping areas hidden where the pieces join.

Unit 2: Powers & Exponent Laws

What powers mean, zero exponents, order of operations, and the exponent laws.

• What are Powers?, Powers turn repeated multiplication into shorthand, write 2 x 2 x 2 x 2 x 2 as 2^5, then name the base, the exponent, and the value.
• Powers of Ten & Zero Exponents, See why any nonzero base raised to the exponent zero equals 1, and use powers of ten like 10^3 = 1000 to write large numbers compactly.
• Order of Operations with Powers, Apply BEDMAS when powers appear mid-expression, evaluate exponents before multiplying, and see how (-3)^2 differs from -3^2.
• Exponent Laws 1: Multiply and Divide Powers, Multiply powers with the same base by adding exponents, and divide by subtracting, turn 3^4 x 3^2 into 3^6 without expanding anything.
• Exponent Laws Part II: Power, Product, and Quotient Rules, Raise a power to a power by multiplying exponents, then extend the laws to products and quotients like (2 x 5)^3.

Unit 3: Rational Numbers

Adding, subtracting, multiplying and dividing fractions and decimals, positive and negative.

• Introduction to Rational Numbers, Rational numbers cover every fraction, terminating or repeating decimal, and integer in Grade 9, compare them and place them on a number line.
• Adding Rational Numbers, Add positive and negative fractions, decimals, and mixed numbers by building common denominators and keeping careful track of signs.
• Subtracting Rational Numbers, Subtract rational numbers by adding the opposite, handling negatives like 3/4 - (-1/2) and mixed numbers without sign slips.
• Multiplying Rational Numbers, Multiply fractions, decimals, and mixed numbers, using sign rules to decide whether each product lands positive or negative.
• Dividing Rational Numbers, Divide fractions by multiplying by the reciprocal, then carry the same sign rules through decimals and mixed numbers.
• Order of Operations with Rational Numbers, BEDMAS still rules when fractions and decimals mix, clear brackets and exponents first, then multiply, divide, add, and subtract in order.

Unit 4: Linear Relations

Writing equations from patterns, graphing linear relations, and understanding slope.

• Writing Equations from Patterns, From number patterns to algebra, find the constant difference in a table of values and write the linear equation that predicts any term.
• Understanding and Graphing Linear Relations, Graph linear relations from a table or an equation, and see why a constant rate of change lines the points up perfectly straight.
• Slope and the Equation of a Line, Measure steepness as rise over run, then connect slope and y-intercept to write the equation of a line in y = mx + b form.
• Matching Equations and Graphs, Match each linear equation to its graph by checking slope direction, steepness, and where the line crosses the y-axis.

Unit 5: Polynomials

What polynomials are, collecting like terms, and adding, subtracting, multiplying and dividing them.

• Introduction to Polynomials, Name the parts of a polynomial, terms, coefficients, constants, and degree, and classify monomials, binomials, and trinomials.
• Like Terms and Simplifying Polynomials, Combine like terms to simplify polynomials: 3x + 5x collapses to 8x, while 3x and 3x^2 must stay separate.
• Adding Polynomials, Add polynomials by grouping like terms across brackets, line up the x^2 terms, x terms, and constants before combining.
• Subtracting Polynomials, Subtract one polynomial from another by flipping every sign in the second bracket, the classic spot where dropped negatives cost marks.
• Multiplying Polynomials by a Constant and Monomial, Distribute a constant or a monomial across every term: 3x(2x + 4) expands to 6x^2 + 12x, one product at a time.
• Dividing Polynomials by a Constant and Monomial, Divide a polynomial by a constant or monomial one term at a time, 6x^2 + 9x divided by 3x becomes 2x + 3. Check by multiplying back.

Unit 6: Linear Equations & Inequalities

Solving equations step by step, variables on both sides, and working with inequalities.

• Solving One-Step and Two-Step Equations, Solve one- and two-step equations like 2x + 3 = 11 by undoing operations in reverse order, subtract 3 first, then divide by 2.
• Balancing Equations: Variables on Both Sides, Collect variables on one side and constants on the other to solve equations like 5x - 2 = 3x + 8, keeping both sides balanced at every step.
• Introduction to Linear Inequalities, Translate phrases like at most and at least into inequality symbols, then graph solution sets on a number line using open or closed dots.
• Solving Inequalities with Addition and Subtraction, Keep the inequality sign pointing the same way while you add or subtract the same amount from both sides to isolate the variable.
• Solving Inequalities with Multiplication and Division, Multiply or divide both sides of an inequality, and learn why the sign flips the moment the multiplier or divisor is negative.

Unit 7: Similarity & Transformations

Scale diagrams, similar polygons and triangles, reflections, rotations and symmetry.

• Scale Diagrams, Enlargements & Reductions, Use scale factors to enlarge or reduce a diagram, a factor of 2 doubles every length, while a factor of 1/2 shrinks it to half size.
• Similar Polygons, Test whether two polygons are similar by matching equal angles and checking that all pairs of corresponding sides share one ratio.
• Similar Triangles, Similar triangles share their angle measures, so a proportion of corresponding sides lets you solve for missing heights and distances.
• Reflections & Line of Symmetry, Reflect shapes across a mirror line and count lines of symmetry, one in an isosceles triangle, four in a square.
• Rotations & Rotational Symmetry, Rotate figures by 90, 180, or 270 degrees and describe rotational symmetry by its order, a square matches itself four times in one full turn.
• Identifying Symmetry on the Cartesian Plane, Locate line and rotational symmetry on the Cartesian plane, using coordinates to confirm mirror images and centres of rotation.

Unit 8: Circle Geometry

The tangent, chord and inscribed angle properties of circles.

• Properties of Tangents to a Circle, A tangent touches a circle at exactly one point and meets the radius there at 90 degrees, use that fact to find missing angles and side lengths.
• Properties of Chords in a Circle, Chords follow a reliable rule, the perpendicular from the centre of a circle bisects the chord, and it unlocks missing lengths fast.
• Properties of Angles in a Circle, Compare inscribed and central angles standing on the same arc: the central angle is always double the inscribed one.

Unit 9: Probability & Statistics

Probability in everyday decisions, collecting good data, and sampling from populations.

• Probability in Society, Probability shows up in forecasts, games, and opinion polls, weigh the chances, then question the assumptions behind each claim.
• Potential Problems with Collecting Data, Spot bias, leading questions, timing, and privacy issues that can skew survey results before any data even gets collected.
• Using Samples and Populations to Collect Data, Decide when to survey an entire population and when a sample has to do, and weigh what each choice means for your conclusions.
• Selecting a Sample, Choose among random, stratified, and convenience samples, then defend which method best represents the population being studied.
• Designing a Project Plan, Plan a complete statistics project, pose a question, choose a data collection method, and map out how results will be analyzed and shared.

Frequently asked questions

What topics are on the Grade 9 math PAT?

The Grade 9 PAT covers the whole Grade 9 math course: square roots and surface area, powers and exponent laws, rational numbers, linear relations, polynomials, linear equations and inequalities, similarity and transformations, circle geometry, and probability and statistics. It has a calculator-free Part A and a longer Part B with a calculator, written near the end of the school year.

Is Studyio aligned with the Alberta Grade 9 curriculum?

Yes. Studyio's Grade 9 course has 9 units and 45 lessons that follow the same topics, in the same order, as Alberta Grade 9 math classrooms. Every lesson has a voice-over walkthrough, worked examples, and a practice quiz with step-by-step solutions.

Can this help my child prepare for the Grade 9 PAT?

That is exactly what it is built for. Alongside the lessons, Studyio includes PAT-style practice questions with instant feedback and a full worked solution for every question, so your child can find weak spots early and rewrite practice sets until the real test feels familiar.

Can Studyio plan my studying for a Grade 9 Math test?

Yes. Add a unit test or the PAT, its date and the units it covers, and pick the days you can study. Studyio builds a study plan, a day by day list of the Grade 9 Math lessons, quizzes and practice tests to do before then, recommends how many minutes a day will finish everything with a few days kept free, and reshuffles on its own if you miss a day. Free accounts can plan one test; Pro plans every test.

Do I need a credit card to start the trial?

The 7-day free trial is set up through Stripe, so it asks for a card, but nothing is charged until the trial ends and you can cancel in a couple of clicks before then. If you'd rather not enter a card at all, the free version needs no payment details.

Can I cancel anytime?

Yes. Subscriptions are managed through Stripe and you can cancel from your profile at any time, including during the free trial, in which case you pay nothing. If you cancel after paying, you keep full access until the end of the period you paid for.

Is this built for the Alberta curriculum specifically, or general Grade 9 math?

Alberta specifically. The units, the order they come in, and the way questions are worded all mirror how Grade 9 math is taught in Alberta classrooms, and the practice is modelled on the Provincial Achievement Test rather than a generic Grade 9 syllabus.

What's the difference between the free version and the trial?

The free version includes 5 lessons of your choice, 5 quiz attempts, step-by-step solutions, and limited access to Ms. Emma, the AI tutor, with no credit card needed. The 7-day trial unlocks everything: all 45 Grade 9 lessons, unlimited quizzes and PAT practice, and unlimited Ms. Emma.