MATH 11 (P/C)

Math 11 Pre-Calculus

Unit 01 Sequence and Series

Arithmetic Sequence and Series

arithmetic sequences (video)

arithmetic sequences (video)

arithmetic series (video)

Geometric Sequence and Series

geometric sequences (video)

geometric series (video)

infinite series (video)

Unit 02 Operations with Radicals

Simplifying Radicals

simplifying radicals (video)

Operations with Radicals

adding and subtracting radicals (video)

multiplying radicals (video)

dividing radicals (video)

rationalizing denominators(video)

Radical Equations

radical equations (video)

radical equations (video)

Unit 03 Trigonometry

Trigonometric Functions Basics

trigonometry review (video)

angles standard position (video)

special triangles (video)

sign rule for trig ratios (video)

exact values of trig ratios (video)

finding angles (video)

Sine Law and Cosine Law

sine law (video)

properties of triangles (video)

ambiguous case (video)

cosine law (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

quadratic formula (video)

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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