Math 10C: Alberta Curriculum & Final Exam Prep

Math 10C curriculum: 7 units, 35 lessons (Alberta Mathematics 10-C)

Unit 1: Measurement

• Imperial Measures of Length, Start Math 10C with imperial length — measure in inches, feet, yards, and miles, and convert between them using 12 inches per foot and 3 feet per yard.
• Relating SI and Imperial Units, Convert between SI and imperial units, like centimetres to inches or kilometres to miles, by multiplying with the right conversion factor.
• Surface Area of 3-D Objects, Total the area of every face to find surface area — unfold prisms and cylinders into nets, then apply each shape's area formula.
• Volume of Pyramids and Cones, A cone or pyramid holds exactly one third of its matching cylinder or prism — use that to find volume as one third of base area times height.
• Surface Area and Volume of Spheres, Apply the sphere formulas SA = 4πr² and V = (4/3)πr³ to compute surface area and volume from a radius or a diameter.
• Composite Objects, Break a composite solid into familiar pieces — say a cylinder topped with a cone — then combine the volumes and skip hidden faces in surface area.

Unit 2: Real Numbers & Exponents

• The Real Number System, Sort numbers into natural, whole, integer, rational, and irrational sets, and see how those sets nest inside the real number system.
• Irrational Numbers, Numbers like √2 and π have decimals that never end or repeat — identify irrationals and estimate where they sit on a number line.
• Mixed and Entire Radicals, Rewrite entire radicals as mixed radicals and back — turn √48 into 4√3 by pulling perfect square factors out from under the root.
• Fractional Exponents, A fractional exponent is a root in disguise — x^(1/2) means √x, and x^(2/3) means the cube root of x squared. Practice moving between the two forms.
• Negative Exponents, Negative exponents signal reciprocals — 2⁻³ equals 1/2³, which is 1/8. Rewrite expressions so every exponent comes out positive.
• Applying the Exponent Laws, Combine the product, quotient, and power laws to simplify expressions with integer and rational exponents in one clean chain of steps.

Unit 3: Right Triangle Trigonometry

• The Tangent Ratio, Meet tangent, the first trig ratio in Math 10C — opposite over adjacent, the TOA in SOH CAH TOA — and use it to find missing sides and angles.
• The Sine and Cosine Ratios, Sine is opposite over hypotenuse and cosine is adjacent over hypotenuse — SOH and CAH — the ratios to use when a problem involves the hypotenuse.
• Solving Right Triangles, Solve a right triangle completely — every missing side and angle — by picking between the three trig ratios and the Pythagorean theorem at each step.
• Applying Trigonometry, Turn real situations into right-triangle diagrams — angles of elevation and depression, heights, distances — then solve with the trig ratio that fits.

Unit 4: Factors and Products

• Prime Factorization, GCF, and LCM, Break numbers into prime factors with factor trees, then use those factorizations to find the greatest common factor and least common multiple.
• Multiplying Polynomials, Expand polynomial products by distributing every term — FOIL for a pair of binomials — and collect like terms into a simplified answer.
• Common Factors, Pull the greatest common factor out of every term in a polynomial — the first move to try whenever a factoring question appears.
• Factoring Trinomials of the Form x² + bx + c, Factor x² + bx + c by finding two numbers that multiply to c and add to b, then writing the trinomial as a product of two binomials.
• Factoring Trinomials of the Form ax² + bx + c, When the leading coefficient is not 1, factor ax² + bx + c by decomposing the middle term or testing binomial pairs until the product checks out.
• Factoring Special Polynomials, Recognize polynomials that factor by pattern — a difference of squares like x² − 9, perfect square trinomials, and sums or differences of cubes.

Unit 5: Systems of Linear Equations

• Solving Systems by Graphing, Graph both lines of a system on one grid and read the intersection point — the ordered pair that satisfies the two equations at once.
• Solving Systems by Substitution, Isolate a variable in one equation and substitute that expression into the other — an exact algebraic solution with no graph required.
• Solving Systems by Elimination, Line up two equations and add or subtract so a variable cancels, multiplying one or both first when the coefficients do not already match.
• Applications of Linear Systems, Translate word problems about two unknown quantities into a pair of linear equations, then choose graphing, substitution, or elimination to solve.

Unit 6: Linear Equations and Graphing

• Slope of a Line, Slope measures steepness as rise over run — compute it from two points on a line and read positive, negative, zero, and undefined slopes on a graph.
• Slopes of Parallel and Perpendicular Lines, Parallel lines carry the same slope; perpendicular lines have negative reciprocal slopes, like 2 and −1/2. Use these facts to classify line pairs.
• Slope-Intercept Form, Graph a line straight from y = mx + b — start at the y-intercept, step off the slope — and write an equation in slope-intercept form from a graph.
• Slope-Point Form, Build a line's equation from its slope and any one point using slope-point form, y − y₁ = m(x − x₁) — no y-intercept needed up front.
• General Form, Rearrange linear equations into general form Ax + By + C = 0, then recover the slope and both intercepts from an equation given that way.

Unit 7: Relations and Functions

• Representing Relations, Represent one relation many ways — a table, a graph, a set of ordered pairs, an equation — and translate smoothly from any form to another.
• Functions, Domain, and Range, Decide whether a relation is a function — each input allowed exactly one output — then state the domain and range of graphs and equations.
• Interpreting Graphs and Variables, Read the story a graph tells — what each axis variable represents, where the graph climbs, drops, or holds steady, and what key points mean in context.
• Describing Functions with Notation, Function notation f(x) names the output for a given input — evaluate values like f(3), find x when f(x) is known, and link f(a) = b to the point (a, b).

Frequently asked questions

What's the difference between Math 10C and Math 10-3?

Math 10C is Alberta's academic Grade 10 math course, the combined route that leads to Math 20-1 or 20-2 and keeps university paths open. Math 10-3 is the workplace and apprenticeship stream, leading to Math 20-3. If you might want any program that needs 30-1 or 30-2, take 10C.

What comes after Math 10C?

After Math 10C, Alberta students choose between Math 20-1 (the pre-calculus stream, leading to Math 30-1 and calculus-based programs) and Math 20-2 (leading to Math 30-2, for programs that don't require calculus). Your 10C mark usually guides the choice: strong marks make the 20-1 route much smoother.

Is there a provincial exam for Math 10C?

No. Math 10C has no PAT or diploma exam. Your mark comes from classwork and a school final exam, which most Alberta schools weight heavily. Studyio includes final-exam-style practice for every 10C unit so the school final doesn't catch you off guard.

How many units are in Math 10C?

Math 10C on Studyio has 7 units: Measurement, Real Numbers & Exponents, Right Triangle Trigonometry, Factors and Products, Systems of Linear Equations, Linear Equations and Graphing, Relations and Functions. That's 35 lessons in total, matching the Alberta curriculum from the first unit through exam review.

Is Studyio aligned to the Alberta curriculum?

Yes. Every Math 10C lesson on Studyio follows the Alberta Program of Studies: the same units, in the same order, they're taught in class. The course has 7 units and 35 lessons, each with a voice-over walkthrough, worked examples, and a practice quiz with step-by-step solutions.

Is Studyio free?

Yes. Studyio is free to start, with no credit card required. The free plan includes lesson access, unlimited quizzes, and step-by-step solutions. Pro, $7.99 a month or $73.99 a year after a 7-day free trial, unlocks unlimited Math 10C Final Exam practice and unlimited help from Ms. Emma, Studyio's AI tutor.