Grade 10 · Alberta
19 units · 98 lessons across two courses · mapped outcome-by-outcome from Alberta's Mathematics 10C and Mathematics 10-3 Programs of Study (2008) — senior high mathematics is not part of the K–9 renewal.
Grade 10 — Mathematics 10C
The academic pathway — 8 units · 59 lessons.
C10U01 · Measurement Systems & Conversions
Outcomes M1PLAYABLE · 7 lessonsSI and imperial linear measurement with referents; converting within and between systems with factors provided; perimeter, circumference and composite perimeters
- 1L1 · The SI System: Linear Measurement and ReferentsPractice →AB-MAT10C-M1Open
- 2L2 · The Imperial System: Linear Measurement in Fractions of an InchPractice →AB-MAT10C-M1Open
- 3L3 · Converting Within and Between Systems (Factors Provided)Practice →AB-MAT10C-M1Open
- 4L4 · Perimeter Problems in Both SystemsPractice →AB-MAT10C-M1Open
- 5L5 · Circumference and Composite PerimetersPractice →AB-MAT10C-M1Open
- 6L6 · Estimating Measurements; Choosing Units and ReferentsPractice →AB-MAT10C-M1Open
- 7L7 · Measurement ClinicPractice →AB-MAT10C-M1Open
- ✓Unit Quiz A — 10 questions · badge: Measurement SystemsQuiz B (retake) →Locked until lessons done
C10U02 · Surface Area & Volume
Outcomes M2PLAYABLE · 8 lessonsSurface area of right prisms, pyramids, cylinders, cones and spheres; volume of the same solids, including composite objects
- 1L1 · Surface Area of Right PrismsPractice →AB-MAT10C-M2Open
- 2L2 · Surface Area of Right PyramidsPractice →AB-MAT10C-M2Open
- 3L3 · Surface Area of Right CylindersPractice →AB-MAT10C-M2Open
- 4L4 · Surface Area of Right ConesPractice →AB-MAT10C-M2Open
- 5L5 · Surface Area of Spheres and Composite ObjectsPractice →AB-MAT10C-M2Open
- 6L6 · Volume of Right Prisms and PyramidsPractice →AB-MAT10C-M2Open
- 7L7 · Volume of Right Cylinders, Cones and SpheresPractice →AB-MAT10C-M2Open
- 8L8 · Surface Area and Volume ClinicPractice →AB-MAT10C-M2Open
- ✓Unit Quiz A — 10 questions · badge: Surface & VolumeQuiz B (retake) →Locked until lessons done
C10U03 · Trigonometry of Right Triangles
Outcomes M4PLAYABLE · 7 lessonsPrimary trigonometric ratios from similar right triangles; finding sides and angles with inverse ratios; angles of elevation and depression; solving complete right triangles
- 1L1 · Primary ratios from similar right trianglesPractice →AB-MAT10C-M4Open
- 2L2 · Sine, cosine, tangent: finding a sidePractice →AB-MAT10C-M4Open
- 3L3 · Finding an angle: inverse ratiosPractice →AB-MAT10C-M4Open
- 4L4 · Solving a complete right trianglePractice →AB-MAT10C-M4Open
- 5L5 · Angles of elevation and depressionPractice →AB-MAT10C-M4Open
- 6L6 · Multi-step trigonometry problemsPractice →AB-MAT10C-M4Open
- 7L7 · Trigonometry clinicPractice →AB-MAT10C-M4Open
- ✓Unit Quiz A — 10 questions · badge: TrigonometryQuiz B (retake) →Locked until lessons done
C10U04 · Factors, Roots & Irrational Numbers
Outcomes AN1, AN2PLAYABLE · 7 lessonsPrime factorization, greatest common factor and lowest common multiple; perfect squares and cubes and their roots; irrational numbers and ordering real numbers
- 1L1 · Prime factorizationPractice →AB-MAT10C-AN1Open
- 2L2 · Greatest common factor and lowest common multiplePractice →AB-MAT10C-AN1Open
- 3L3 · Perfect squares, perfect cubes, and their rootsPractice →AB-MAT10C-AN1Open
- 4L4 · Irrational numbers on the number linePractice →AB-MAT10C-AN2Open
- 5L5 · Classifying and ordering real numbersPractice →AB-MAT10C-AN2Open
- 6L6 · Estimating square and cube rootsPractice →AB-MAT10C-AN2Open
- 7L7 · Factors and roots clinicPractice →AB-MAT10C-AN1 + AN2Open
- ✓Unit Quiz A — 10 questions · badge: Factors & RootsQuiz B (retake) →Locked until lessons done
C10U05 · Exponents
Outcomes AN3PLAYABLE · 6 lessonsExponent laws for products, quotients and powers; the zero exponent and negative integral exponents; rational exponents as roots; simplifying expressions
- 1L1 · Exponent Laws I: Products and QuotientsPractice →AN3Open
- 2L2 · Exponent Laws II: Powers of Powers; the Zero ExponentPractice →AN3Open
- 3L3 · Negative Integral ExponentsPractice →AN3Open
- 4L4 · Rational Exponents: Roots Written as PowersPractice →AN3Open
- 5L5 · Simplifying Expressions with Rational ExponentsPractice →AN3Open
- 6L6 · Exponents ClinicPractice →AN3Open
- ✓Unit Quiz A — 10 questions · badge: ExponentsQuiz B (retake) →Locked until lessons done
C10U06 · Polynomials: Multiply & Factor
Outcomes AN4, AN5PLAYABLE · 8 lessonsMultiplying polynomials up to the trinomial ceiling; factoring a common factor, x² + bx + c, ax² + bx + c (a ≠ 1) and difference of squares
- 1L1 · Multiplying a polynomial by a monomialPractice →AN4Open
- 2L2 · Binomial times binomialPractice →AN4Open
- 3L3 · Polynomial times polynomial (the trinomial ceiling)Practice →AN4Open
- 4L4 · Factoring out a common factorPractice →AN5Open
- 5L5 · Factoring x^2 + bx + cPractice →AN5Open
- 6L6 · Factoring ax^2 + bx + c (a != 1) and difference of squaresPractice →AN5Open
- 7L7 · Two-variable factoring formsPractice →AN5Open
- 8L8 · Factoring strategies clinicPractice →AN5Open
- ✓Unit Quiz A — 10 questions · badge: PolynomialsQuiz B (retake) →Locked until lessons done
C10U07 · Linear Relations & Functions
Outcomes RF1–RF8PLAYABLE · 10 lessonsGraphs that tell a story; relations and functions; slope as rate of change and parallel/perpendicular slopes; intercepts, domain and range; three forms of a line; function notation
- 1L1 · Interpreting Graphs That Tell a StoryPractice →RF1Open
- 2L2 · Relations and Functions: What Makes It a FunctionPractice →RF2Open
- 3L3 · Slope: Rise over Run, and Slope as Rate of ChangePractice →RF3Open
- 4L4 · Parallel and Perpendicular SlopesPractice →RF3Open
- 5L5 · Representing a Linear Relation: Words, Pairs, Tables, Graphs, EquationsPractice →RF4Open
- 6L6 · Characteristics of a Graph: InterceptsPractice →RF5Open
- 7L7 · Domain and Range: Descriptions, Lists, Set-Builder, Interval NotationPractice →RF1/RF5Open
- 8L8 · Three Forms of a Line: Slope-Intercept, General, Slope-PointPractice →RF6Open
- 9L9 · Writing the Equation of a LinePractice →RF7Open
- 10L10 · Function Notation for Linear FunctionsPractice →RF8Open
- ✓Unit Quiz A — 10 questions · badge: Linear FunctionsQuiz B (retake) →Locked until lessons done
C10U08 · Systems of Linear Equations
Outcomes RF9PLAYABLE · 6 lessonsSystems of two linear equations solved graphically, by substitution and by elimination; zero, one or infinitely many solutions; systems in context
- 1L1 · Systems and Their Graphical SolutionsPractice →RF9Open
- 2L2 · Zero, One, or Infinitely Many Solutions (Graphical View)Practice →RF9Open
- 3L3 · Solving Algebraically: SubstitutionPractice →RF9Open
- 4L4 · Solving Algebraically: Elimination (Addition)Practice →RF9Open
- 5L5 · Systems in Context: Which Method, and What the Solution MeansPractice →RF9Open
- 6L6 · Systems Clinic: 0/1/∞ Verified AlgebraicallyPractice →RF9Open
- ✓Unit Quiz A — 10 questions · badge: SystemsQuiz B (retake) →Locked until lessons done
Grade 10 — Mathematics 10-3
The workplace and trades pathway — 11 units · 39 lessons.
T3U01 · SI Measurement
Outcomes M1PLAYABLE · 4 lessonsThe SI system built on base ten — the six prefixes, milli to kilo; SI units and relationships for length, area, volume, capacity, mass and temperature; converting within SI
- 1L1 · The SI system: built on base ten; the six prefixes (milli to kilo)Practice →MAT10-3-M1Open
- 2L2 · SI units and their relationships: length, area, volume, capacity, mass, temperaturePractice →MAT10-3-M1Open
- 3L3 · Converting within SI; why SI uses decimalsPractice →MAT10-3-M1Open
- 4L4 · SI to imperial by proportional reasoning (factors provided)Practice →MAT10-3-M1Open
- ✓Unit Quiz A — 10 questions · badge: SI MeasurementQuiz B (retake) →Locked until lessons done
T3U02 · Imperial Measurement
Outcomes M2PLAYABLE · 4 lessonsImperial units, relationships and fractions; American vs British imperial capacity — the gallon is not the gallon; converting within imperial and approximating both ways
- 1L1 · The imperial system: units, relationships, and fractionsPractice →MAT10-3-M2Open
- 2L2 · American vs British imperial capacity (the gallon is not the gallon)Practice →MAT10-3-M2Open
- 3L3 · Converting within imperial unitsPractice →MAT10-3-M2Open
- 4L4 · Imperial to SI; giving good approximations both waysPractice →MAT10-3-M2Open
- ✓Unit Quiz A — 10 questions · badge: Imperial MeasurementQuiz B (retake) →Locked until lessons done
T3U03 · Linear Measurement Problems
Outcomes M3PLAYABLE · 4 lessonsReferents and estimating linear measurements; measuring well — inside and outside diameters, midpoints; perimeter and circumference problems; measurement arithmetic clinic
- 1L1 · Referents and estimating linear measurementsPractice →AB-MAT10-3-M3Open
- 2L2 · Measuring well: inside and outside diameters, midpointsPractice →AB-MAT10-3-M3Open
- 3L3 · Perimeter, circumference, and length + width + height problemsPractice →AB-MAT10-3-M3/A1Open
- 4L4 · Measurement arithmetic clinic: decimals and fractionsPractice →AB-MAT10-3-M3/A1Open
- ✓Unit Quiz A — 10 questions · badge: Measuring LengthQuiz B (retake) →Locked until lessons done
T3U04 · Area & Surface Area
Outcomes M4PLAYABLE · 5 lessonsArea referents and grid estimates; area of regular, composite and irregular 2-D shapes including circles; converting area units; surface area of right cylinders and cones
- 1L1 · Area referents; estimating area with square gridsPractice →AB-MAT10-3-M4Open
- 2L2 · Area of regular, composite and irregular 2-D shapes, including circlesPractice →AB-MAT10-3-M4Open
- 3L3 · Converting area units (built from linear conversions)Practice →AB-MAT10-3-M4Open
- 4L4 · Surface area of right cylinders and cones (and prisms, reviewed)Practice →AB-MAT10-3-M4Open
- 5L5 · Changing a dimension changes the area; reasonableness clinicPractice →AB-MAT10-3-M4/A1Open
- ✓Unit Quiz A — 10 questions · badge: Area & Surface AreaQuiz B (retake) →Locked until lessons done
T3U05 · The Pythagorean Theorem
Outcomes G2PLAYABLE · 3 lessonsVerifying the Pythagorean theorem and why right triangles only; finding a missing side, with isolating a variable threaded through; Pythagoras on the job
- 1L1 · Verifying the theorem; why right triangles onlyPractice →AB-MAT10-3-G2Open
- 2L2 · Finding a missing side (A1: isolating a leg threaded)Practice →AB-MAT10-3-G2Open
- 3L3 · Pythagoras on the job: clinicPractice →AB-MAT10-3-G2Open
- ✓Unit Quiz A — 10 questions · badge: PythagorasQuiz B (retake) →Locked until lessons done
T3U06 · Similarity of Polygons
Outcomes G3PLAYABLE · 3 lessonsSimilar convex polygons — corresponding sides and angles; scale, indirect measurement and nested right triangles
- 1L1 · Similar convex polygons: corresponding sides and anglesPractice →AB-MAT10-3-G3Open
- 2L2 · Scale, indirect measurement, and nested right trianglesPractice →AB-MAT10-3-G3Open
- 3L3 · Similarity clinicPractice →AB-MAT10-3-G3Open
- ✓Unit Quiz A — 10 questions · badge: SimilarityQuiz B (retake) →Locked until lessons done
T3U07 · Primary Trigonometric Ratios
Outcomes G4PLAYABLE · 3 lessonsTrigonometric ratios born from similar right triangles; sine, cosine and tangent to find a side; finding an angle and solving job-site problems
- 1L1 · Ratios born from similar right triangles: patternsPractice →AB-MAT10-3-G4Open
- 2L2 · Sine, cosine, tangent: finding a sidePractice →AB-MAT10-3-G4Open
- 3L3 · Finding an angle; solving job-site problemsPractice →AB-MAT10-3-G4Open
- ✓Unit Quiz A — 10 questions · badge: TrigonometryQuiz B (retake) →Locked until lessons done
T3U08 · Lines & Angles
Outcomes G5, G6PLAYABLE · 3 lessonsAngle pairs from parallel, perpendicular and transversal lines; drawing, replicating and constructing angles, including reflex angles
- 1L1 · Parallel, perpendicular and transversal lines: angle pairsPractice →AB-MAT10-3-G5Open
- 2L2 · Drawing, replicating and constructing angles (including reflex)Practice →AB-MAT10-3-G6Open
- 3L3 · Lines and angles clinicPractice →AB-MAT10-3-G5/G6Open
- ✓Unit Quiz A — 10 questions · badge: Lines & AnglesQuiz B (retake) →Locked until lessons done
T3U09 · Unit Pricing & Currency Exchange
Outcomes N1PLAYABLE · 4 lessonsUnit pricing and the best buy; percent increase and decrease in pricing; currency exchange — buy rate vs sell rate
- 1L1 · Unit Pricing and the Best BuyPractice →AB-MAT10-3-N1Open
- 2L2 · Percent Increase and Decrease in PricingPractice →AB-MAT10-3-N1Open
- 3L3 · Currency Exchange: Buy Rate vs Sell RatePractice →AB-MAT10-3-N1Open
- 4L4 · Pricing ClinicPractice →AB-MAT10-3-N1Open
- ✓Unit Quiz A — 10 questions · badge: Pricing & CurrencyQuiz B (retake) →Locked until lessons done
T3U10 · Income
Outcomes N2PLAYABLE · 4 lessonsWages, salary and contract pay; commissions, piecework, tips, overtime and bonuses; deductions and net pay
- 1L1 · Wages, Salary and Contract PayPractice →AB-MAT10-3-N2Open
- 2L2 · Commissions, Piecework, Tips, Overtime and BonusesPractice →AB-MAT10-3-N2Open
- 3L3 · Deductions and Net PayPractice →AB-MAT10-3-N2Open
- 4L4 · Income ClinicPractice →AB-MAT10-3-N2Open
- ✓Unit Quiz A — 10 questions · badge: Income & PayQuiz B (retake) →Locked until lessons done
T3U11 · Spatial Puzzles & Games
Outcomes G1PLAYABLE · 2 lessonsSolving spatial puzzles with strategies that work — model, list, work backward; find the error and create your own variation
- 1L1 · Solving spatial puzzles: strategies that work (model, list, work backward)Practice →AB-MAT10-3-G1Open
- 2L2 · Find the error; create your own variationPractice →AB-MAT10-3-G1Open
- ✓Unit Quiz A — 10 questions · badge: Spatial PuzzlesQuiz B (retake) →Locked until lessons done