Math 10C Help, Built for Alberta's Curriculum

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

Unit 1: Measurement

Metric and imperial units, conversions, and the surface area and volume of 3-D objects.

• 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.
• Volumes of Right Pyramids and Right Cones
• Surface Area and Volume of a Sphere
• Surface Area and Volume of Composite Objects

Unit 2: Number Systems & Operations

The real number system, mixed and entire radicals, and fractional and negative 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.
• Roots, Radicals, and Irrational Numbers
• Entire and Mixed Radicals
• Fractional Exponents and Radicals
• Negative Exponents, Negative exponents signal reciprocals, 2⁻³ equals 1/2³, which is 1/8. Rewrite expressions so every exponent comes out positive.
• Exponent Laws: Combined Practice

Unit 3: Trigonometry

The tangent, sine and cosine ratios, and solving problems with right triangles.

• 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.
• Applications of Trigonometry

Unit 4: Factors and Roots

Prime numbers, GCF and LCM, multiplying polynomials, and factoring trinomials and special patterns.

• Prime Numbers, GCF, LCM, and Roots
• Polynomial Multiplication
• Factoring Polynomials: GCF and Trinomials
• Factoring Trinomials: x² + bx + c
• Factoring Trinomials: Decomposition Method
• Special Factoring Patterns

Unit 5: Systems of Equations

Solving two equations in two unknowns by graphing, substitution and elimination.

• Systems of Equations: Graphing Method
• Substitution Method
• Elimination Method
• Word Problems and Applications

Unit 6: Linear Relations and Functions

Slope, parallel and perpendicular lines, and the slope-intercept, slope-point and general forms.

• Slope
• Parallel and Perpendicular Lines
• 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

What makes a relation a function, function notation, and domain and range.

• 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 is Math 10C in Alberta?

Math 10C (the C stands for combined) is Alberta's academic Grade 10 math course and the starting point of the high school math pathway. Its seven units cover measurement, real numbers and exponents, trigonometry, factoring, linear equations, systems, and functions, and it leads into either Math 20-1 or Math 20-2 in Grade 11.

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

Math 10C is the academic route: it keeps every stream open, including the pre-calculus path to Math 30-1 that many university programs require. Math 10-3 is the workplace and apprenticeship stream, leading to Math 20-3. If there is any chance you'll want a program that asks for 30-1 or 30-2, take 10C.

What units does Math 10C cover?

Seven units: Measurement, Real Numbers & Exponents, Right Triangle Trigonometry, Factors and Products, Systems of Linear Equations, Linear Equations and Graphing, and Relations and Functions. On Studyio that's 35 lessons, each with a voice-over walkthrough, worked examples, and a practice quiz with full solutions.

Will this prepare me for the Math 10C final exam?

Yes. Math 10C has no provincial exam, so your mark comes from classwork and a school final that most Alberta schools weight heavily. Studyio includes final-exam-style practice for every unit with instant feedback and step-by-step solutions, so nothing on the school final looks unfamiliar.

Does Math 10C lead to Math 20-1?

Yes, 10C is the only standard route into Math 20-1, Alberta's pre-calculus stream. After 10C you choose between 20-1 (toward Math 30-1, engineering, computer science and the sciences) and 20-2 (toward Math 30-2). A strong 10C mark makes the 20-1 route much more comfortable.

Can Studyio plan my studying for a Math 10C test?

Yes. Add a unit test or the final exam, 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 Math 10C 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?

For the 7-day trial, yes: it runs through Stripe, which collects a card up front, but you're charged nothing until the trial ends and cancelling before then takes a couple of clicks. The free version asks for no payment details at all.

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

Free gives you 5 lessons you pick yourself, 5 quiz attempts, full step-by-step solutions, and limited Ms. Emma (AI tutor) access, no card required. The trial is all of Pro for 7 days: every one of the 35 Math 10C lessons, unlimited practice and final exam prep, and unlimited Ms. Emma.