## Math 11 Pre-Calculus

**Unit 01 Sequence and Series**

**Arithmetic Sequence and Series**

**Geometric Sequence and Series**

**Unit 02 Operations with Radicals**

**Simplifying Radicals**

**Operations with Radicals**

adding and subtracting radicals (video)

rationalizing denominators(video)

**Radical Equations**

**Unit 03 Trigonometry**

**Trigonometric Functions Basics
**

angles standard position (video)

sign rule for trig ratios (video)

exact values of trig ratios (video)

**Sine Law and Cosine Law**

properties of triangles (video)

**Unit 04 Factoring and Applications**

**Factoring Simple Expressions**

how to factor a linear binomial by taking out a common factor – example (video)

how to factor a quadratic binomial with two variables by taking a common factor – example (video)

how to factor a quartic binomial with two variables by taking a common factor – example (video)

how to factor a trinomial by taking the greatest common factor – example (video)

**Factoring Quadratic Expressions**

more examples of factoring quadratics with a leading coefficient of 1 (video)

how to factor quadratics with a leading coefficient of 1 – example (video)

introduction to grouping (video)

factoring trinomials with a common factor – example (video)

**Factoring Special Products**

factoring special products (video)

how to factor a difference of squares with two variables – example 1 (video)

how to factor a difference of squares with two variables – example 2 (video)

**Solving Quadratics by Factoring**

how to solve a quadratic equation by factoring – example (video)

word problem: find dimensions of a triangle using quadratic equation (video)

word problem: find dimensions of a box using quadratic equation (video)

**Unit 05 Quadratic Functions and Equations**

**Quadratic Functions Basics**

graphs of quadratic functions (video)

properties of quadratic functions (video)

applications of quadratic functions (video)

quadratic functions in standard form (video)

**Quadratic Equations**

solving quadratic equations (video)

quadratic equations: completing the square (video)

applications of completing the square (video)

**Quadratic Formula**

discriminants and nature of roots (video)

**Unit 06 Rational Expressions and Equations**

**Simplifying Rational Expressions**

introduction to simplifying rational expressions (video)

how to simplify a rational expression by canceling common monomial terms – example (video)

how to simplify a rational expression by canceling binomial factors – example (video)

how to simplify a rational expression by canceling factors with opposite signs – example (video)

how to simplify a rational expressions using advanced factorization methods – example (video)

**Multiplying and Dividing Rational Expressions**

how to multiply rational expressions with polynomial numerators and denominators – example (video)

how to divide rational expressions with polynomial numerators and denominators – example (video)

how to multiply rational expressions with multiple variables – example (video)

**Adding and Subtracting Rational Expressions**

how to subtract rational expressions by finding the least common multiple – example (video)

**Rational Equations**

how to solve an equation with one rational expression – example (video)

how to solve an equation with a rational expression that needs simplification – example (video)

how to solve an equation with two rational expressions – example (video)

how to solve an equation with two rational expressions incl. finding LCM – example (video)

how to solve a rational equation with an extraneous solution – example (video)

**Unit 07 Absolute Value Functions and Reciprocal Functions**

**Absolute Value Functions**

linear absolute value functions (video)

linear and quadratic absolute value functions (video)

absolute value equations (video)

**Reciprocal Functions**

linear-reciprocal functions (video)

quadratic-reciprocal functions (video)

**Unit 08 Linear and Quadratic Systems and Inequalities**

**Solving Systems of Equations**

solving system of equations graphically (video)

solving system of equations algebraically (video)

applications of systems of equations (video)

**Linear Inequalities**

linear inequalities in two variables (video)

**Quadratic Inequalities**

quadratic inequalities in one variable (video)

quadratic inequalities in one variable (video)

quadratic inequalities in two variables (video)

**Possible Useful software**: virtual graphing calculator software: click to download and install file…

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