Grade 12 Mathematics

Grade 12 is organized under High School. No existing Grade 12 lesson folder was found in the supplied course tree. This folder is awaiting Grade 12 source lessons; no Grade 11 lessons have been reassigned.

Not a Valid Congruence Rule Corresponding Parts CPCTC Apply CPCTC Congruence from Transformations Real-Life Congruence True or False Coordinate Geometry Congruence Reasoning Level Challenge Level

What Is an Exponential Function? General Form Growth vs Decay Identify Growth or Decay Initial Value Evaluating Exponential Functions Exponential Tables Graph Shape Horizontal Asymptote Domain & Range Comparing Growth Rates Transformations (Preview) Exponential Models Percent Growth & Decay Word Problem (Growth) Word Problem (Decay) Comparing Linear vs Exponential Common Mistakes Challenge Level Final Mastery Check What Is an Exponential Function? General Form Growth vs Decay Identify Growth or Decay Initial Value Evaluating Exponential Functions Exponential Tables Graph Shape Horizontal Asymptote Domain & Range Comparing Growth Rates Transformations (Preview) Exponential Models Percent Growth & Decay Word Problem (Growth) Word Problem (Decay) Comparing Linear vs Exponential Common Mistakes Challenge Level Final Mastery Check

Identify parabola vs not Opening direction Vertex identification Axis of symmetry Width of parabola Plotting key points y-intercept x-intercepts (concept) Transformations Graph from vertex form Compare parabolas True or false Challenge level

Logical Connectives Venn Diagrams (Concept) Truth Value from Conditions Reasoning with Definitions Error in Reasoning Mathematical Argument True or False Logic Geometry Logic Challenge Level

Multiply a monomial by a constant Multiply a monomial by a variable Multiply a monomial by a polynomial (one term) Distributive property Multiply binomial by binomial (FOIL concept) Binomial × binomial with negatives Binomial × trinomial Multiply polynomials with coefficients Multiply polynomials with powers Multiply two trinomials Area model (concept match) Special products Challenge level

Divide monomials (coefficients only) Divide monomials with variables Divide monomials with powers Polynomial ÷ monomial Polynomial ÷ monomial (with negatives) Binomial ÷ binomial (exact division) Binomial ÷ binomial (factoring first) Trinomial ÷ binomial (simple long division) Long division with coefficients Division with missing terms Remainders (concept) Synthetic division (concept) Challenge level

Identify quadratic vs non-quadratic Standard form recognition Opening direction Vertex (concept) Axis of symmetry Graph shape recognition Table → quadratic pattern Intercepts (concept) Transformations (concept) Compare quadratic functions Real-life quadratic situations True or false Challenge level

Identify radicals Square roots of perfect squares Cube roots of perfect cubes Rational vs irrational roots Simplifying square roots (perfect factors) Simplifying with variables Radical coefficients Adding like radicals Subtracting like radicals Multiplying radicals Rationalizing the denominator Radicals on the number line Real-life radicals Challenge level

Similarity on the Coordinate Plane Angle Preservation Perimeter & Area (Concept) Real-Life Similarity Similarity Proof (Concept) Common Mistakes True or False Challenge Level

Right Triangle Review Triangle Parts SOH–CAH–TOA (Overview) Identify the Ratio Sine Value (Concept) Cosine Value (Concept) Tangent Value (Concept) Identify the Missing Side (Concept) Special Angle Values (Concept) Compare Trig Ratios Real-Life Meaning Calculator Awareness True or False Coordinate Connection (Concept) Challenge Level

What Is SOH–CAH–TOA? Triangle Side Names SOH CAH TOA Identify the Ratio Use SOH (Concept) Use CAH (Concept) Use TOA (Concept) Choose the Correct Ratio Special Angles (Concept) True or False Real-Life Trigonometry Coordinate Connection Challenge Level

What Are Special Triangles? Identify the Special Triangle 45–45–90 Triangle (Angles) 45–45–90 Triangle (Side Ratio) Find Missing Sides (45–45–90) 30–60–90 Triangle (Angles) 30–60–90 Triangle (Side Ratio) Find Missing Sides (30–60–90) Half–Equilateral Triangle Concept Compare Special Triangles Trigonometric Values from Special Triangles Identify the Triangle from Side Lengths Real-Life Connections True or False Challenge Level

Identify real vs imaginary vs complex Imaginary unit (i) Writing complex numbers Identify parts of a complex number Complex numbers on the plane Add complex numbers Subtract complex numbers Multiply complex numbers Powers of i in expressions Complex conjugates Divide complex numbers (concept) Absolute value (magnitude) Real-life & concept match Challenge level Identify real vs imaginary vs complex Imaginary unit (i) Writing complex numbers Identify parts of a complex number Complex numbers on the plane Add complex numbers Subtract complex numbers Multiply complex numbers Powers of i in expressions Complex conjugates Divide complex numbers (concept) Absolute value (magnitude) Real-life & concept match Challenge level

Factor out the greatest common factor (GCF) Factor GCF with negative coefficient Factoring simple binomials Factoring trinomials (a = 1) Factoring trinomials with negatives Trinomials (a ≠ 1) Difference of squares Perfect square trinomials Factoring by grouping Factoring with GCF first Special cases match Factoring with multiple variables Challenge level Factor out the greatest common factor (GCF) Factor GCF with negative coefficient Factoring simple binomials Factoring trinomials (a = 1) Factoring trinomials with negatives Trinomials (a ≠ 1) Difference of squares Perfect square trinomials Factoring by grouping Factoring with GCF first Special cases match Factoring with multiple variables Challenge level

When to Use Each Rule Product Rule Formula Quotient Rule Formula Identify u and v (Product) Product Rule (Basic) Product Rule (Polynomial × Polynomial) Identify u and v (Quotient) Quotient Rule (Basic) Quotient Rule (Trigonometric) Simplify Before Differentiating? Common Mistakes Mixed Practice (Product) Mixed Practice (Quotient) True or False Strategy Level Challenge (Product Rule) Challenge (Quotient Rule) Final Mastery Check

What Is a Trigonometric Identity? The Main Pythagorean Identity Connection to the Unit Circle Evaluate Using the Identity Solve for sin θ Identify the Correct Identity Form Deriving from sin²θ + cos²θ = 1 Verify an Identity (Concept) Simplify an Expression Fill in the Blank True or False Using the Identity in a Triangle Unit Circle Values Common Mistakes Challenge Level

Identify rational expressions Parts of a rational expression Domain restrictions (concept) Simplifying rational expressions (GCF) Simplifying by factoring Canceling common factors Rational expressions with polynomials Multiplying rational expressions Dividing rational expressions Adding rational expressions (like denominators) Adding rational expressions (unlike denominators) Complex rational expressions (concept) Real-life meaning Challenge level

What Is the Sine Graph? Axes of the Sine Graph Key Points on the Sine Graph Plot the Basic Sine Curve Amplitude Period Midline Maximum and Minimum Values Symmetry Compare with Cosine (Concept) Sine Graph on the Unit Circle True or False Identify Points on the Graph Transform Preview (Concept) Challenge Level

What Is the Tangent Graph? Definition of Tangent Domain of the Tangent Function Vertical Asymptotes Key Points on the Tangent Graph Period of the Tangent Graph Midline Shape of the Graph Symmetry Compare with Sine & Cosine Unit Circle Connection True or False Identify Points on the Graph Transform Preview (Concept) Challenge Level

What Is the Unit Circle? Coordinates on the Unit Circle Key Quadrantal Angles Trig Values at Quadrantal Angles Special Angle Coordinates (First Quadrant) Tangent on the Unit Circle Symmetry Across Quadrants Trig Values in Other Quadrants Reference Angles Tangent Signs Coterminal Angles Exact Values Check Real-Life Meaning True or False Challenge Level

What Does It Mean to Solve a Trig Equation? Types of Trig Equations Basic Strategy Solve sin x = a Solve cos x = a Solve tan x = a Interval Awareness Using Reference Angles Quadrant Check Multiple-Angle Equations Using Identities Factoring Trig Equations Equations with Squares Using Pythagorean Identities Solutions in Degrees General Solutions Extraneous Solutions Common Mistakes Challenge Level Final Mastery Check What Does It Mean to Solve a Trig Equation? Types of Trig Equations Basic Strategy Solve sin x = a Solve cos x = a Solve tan x = a Interval Awareness Using Reference Angles Quadrant Check Multiple-Angle Equations Using Identities Factoring Trig Equations Equations with Squares Using Pythagorean Identities Solutions in Degrees General Solutions Extraneous Solutions Common Mistakes Challenge Level Final Mastery Check

Grade 12 Mathematics

Mathematics enrichment guide Mathematics