Math 20-1 curriculum — 6 units, 44 lessons (Alberta Mathematics 20-1)

Unit 1: Quadratic Functions & Equations

• Introduction to Quadratic Functions — Master quadratic functions and their properties. Grade 11 Alberta Math 20-1 curriculum - essential for diploma exam.
• Properties & Transformations of Quadratic Functions — Learn vertex form and transformations of parabolas. Grade 11 Math 20-1 Alberta - diploma prep.
• Standard Form — Master standard form and completing the square. Grade 11 Math 20-1 curriculum.
• Number of X-Intercepts & Writing Quadratic Functions — Find roots and write quadratic equations from conditions. Grade 11 Math 20-1 Alberta diploma prep.
• Factoring Review — Review all factoring techniques needed for Math 20-1. Alberta Grade 11 mathematics.
• Solving by Factoring — Solve quadratic equations by factoring method. Math 20-1 Alberta Grade 11 curriculum.
• Completing the Square — Master completing the square method for solving quadratics. Math 20-1 Alberta.
• The Quadratic Formula & Nature of the Roots — Use quadratic formula and analyze discriminant. Grade 11 Math 20-1 curriculum - exam essential.
• Applications of Quadratics — Apply quadratic functions to real-world optimization problems. Alberta Math 20-1.

Unit 2: Systems of Equations & Inequalities

• Linear Functions & Systems of Equations Review — Review linear functions and system solving methods. Grade 11 Math 20-1 Alberta curriculum.
• Solving Systems of Equations Graphically — Solve systems by graphing linear and quadratic equations. Grade 11 Math 20-1.
• Solving Linear-Quadratic Systems Algebraically — Solve linear-quadratic systems using substitution and elimination. Math 20-1 Alberta.
• Solving Quadratic-Quadratic Systems Algebraically — Solve quadratic-quadratic systems of equations. Grade 11 Math 20-1 Alberta.
• Linear Inequalities in One Variable — Solve linear inequalities in one variable. Grade 11 Math 20-1 curriculum.
• Linear Inequalities in Two Variables — Graph and solve linear inequalities in two variables. Math 20-1 Alberta Grade 11.
• Quadratic Inequalities in Two Variables — Solve and graph quadratic inequalities in two variables. Math 20-1 Alberta.
• Quadratic Inequalities in One Variable — Solve quadratic inequalities in one variable algebraically and graphically. Grade 11.
• Applications of Quadratic Inequalities — Apply quadratic inequalities to real-world problems. Grade 11 Math 20-1 Alberta.

Unit 3: Sequences & Series

• Arithmetic Sequences — Find common difference and terms in arithmetic sequences. Math 20-1 Alberta curriculum.
• Arithmetic Series — Calculate sums of arithmetic series using formulas. Grade 11 Math 20-1 Alberta.
• Geometric Sequences — Find common ratio and terms in geometric sequences. Math 20-1 Alberta Grade 11.
• Geometric Series — Calculate sums of geometric series and use formulas. Grade 11 Math 20-1.
• Infinite Geometric Series — Find sums of infinite geometric series using convergence. Math 20-1 Alberta curriculum.
• Sigma Notation — Learn and use sigma notation for series summation. Grade 11 Math 20-1 Alberta.

Unit 4: Trigonometry

• Pythagorean Theorem & Trigonometric Ratios — Master primary trig ratios and right triangle solving. Grade 11 Math 20-1 - exam prep.
• Angles in Standard Position — Understand coterminal and standard position angles. Math 20-1 Alberta Grade 11.
• Exact Values of Trig Ratios / CAST — Find exact values and learn CAST rule for all quadrants. Grade 11 Math 20-1 Alberta.
• Special Triangles — Learn 30-60-90 and 45-45-90 triangles and their ratios. Math 20-1 Alberta curriculum.
• The Unit Circle & Trigonometric Reciprocals — Master unit circle and reciprocal trig functions. Grade 11 Math 20-1 Alberta.
• The Sine Law & The Cosine Law — Solve any triangle using sine and cosine laws. Math 20-1 Alberta Grade 11.
• Applications — Apply trigonometry to bearing and distance problems. Math 20-1 Alberta.
• The Ambiguous Case — Understand ambiguous case in sine law and two-solution scenarios. Grade 11 Math 20-1.

Unit 5: Radical Expressions & Equations

• Working with Radical Expressions — Simplify, order, and manipulate radical expressions. Math 20-1 Alberta curriculum.
• Adding & Subtracting Radical Expressions — Combine like radicals and simplify sums and differences. Grade 11 Math 20-1.
• Multiplying & Dividing Radical Expressions — Multiply and divide radical expressions and simplify. Math 20-1 Alberta Grade 11.
• Rationalizing the Denominator — Remove radicals from denominators using conjugates. Math 20-1 Alberta.
• Solving Radical Equations — Solve equations containing radicals and check solutions. Grade 11 Math 20-1 Alberta.

Unit 6: Rational Expressions & Functions

• Review & Preview — Review rational expressions foundations. Math 20-1 Alberta Grade 11.
• Simplifying Rational Expressions & Non-Permissible Values — Simplify rational expressions and find restrictions. Math 20-1 Alberta.
• Multiplying & Dividing Rational Expressions — Perform multiplication and division on rational expressions. Grade 11 Math 20-1.
• Adding & Subtracting Rational Expressions — Find common denominators and combine rational expressions. Math 20-1 Alberta curriculum.
• Solving Rational Equations — Solve equations with rational expressions and check solutions. Grade 11 Math 20-1.
• Applications of Rational Equations — Apply rational equations to work and rate problems. Math 20-1 Alberta.
• Reciprocal Functions — Graph and analyze reciprocal functions y = 1/x. Grade 11 Math 20-1.