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YouTube

Math 15 - Fundamentals of Algebra and Basic Trigonometry

Jeremy Klassen via YouTube

Overview

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Course covering fundamental algebra and pre-calculus concepts through comprehensive lessons on integer operations, rational numbers, exponents, and polynomial manipulation. Master essential mathematical skills including adding, subtracting, multiplying, and dividing integers and rational numbers, while learning to work with scientific notation, square roots, and prime factorization. Develop proficiency in polynomial operations, factoring techniques including trinomials and difference of squares, and solving various types of equations from basic addition/subtraction problems to complex multi-step equations involving proportions and inequalities. Explore geometric applications through triangle basics and trigonometric ratios for finding unknown angles and side lengths, then advance to coordinate plane concepts, relations, functions, and function notation. Practice applying mathematical concepts to real-world scenarios through word problems and practical applications, building a solid foundation for advanced mathematics courses.

Syllabus

Math 15 Adding and Subtracting Integers Lesson
Math 15 Multiplying and Dividing Integers Lesson
Math 15 Rational Numbers Lesson
Math 15 Multipliction and Division of Rational Numbers Lesson
Math 15 Introduction to Exponents Lesson
Math 15 Order of Operations Lesson
Math 15 Substitute and Evaluate Lesson
Math 15 Rounding Lesson
Math 15 Scientific Notation Lesson
Math 15 Square Roots Lesson
Math 15 Factors and Multiples Lesson
Math 15 Determining Square Roots and Cube Roots with Prime Factorization Lesson
Math 15 The Number System, Radical and Exponential Forms Lesson
Math 15 Introduction to Polynomials Lesson
Math 15 Operations on Polynomials Lesson
Math 15 Area and Perimeter with Polynomials Lesson
Math 15 Introduction to Factoring and Greatest Common Factors Lesson
Math 15 Factoring Trinomials a=1 Lesson
Math 15 Factoring by Grouping Lesson
Math 15 Factoring Trinomials where the leading coefficient is not one Lesson
Math 15 Difference of Squares Factoring Lesson
Math 15 Mixed Factoring Lesson
Math 15 Solving Type I Equations with Addition or Subtraction Lesson
Math 15 Solving Type II Equations with Multiplication or Division Lesson
Math 15 Solving Type III Equations with two operations Lesson
Math 15 Solving Type IV Equations with Simplifying First Lesson
Math 15 Solving Type V Equations with Expansion First Lesson
Math 15 Solving Type VI Equations with Multiple Terms with the Variable Lesson
Math 15 Solving Type VII Equations with Proportions Lesson
Math 15 Solving Inequalities Lesson
Math 15 Solving Word Problems Lesson
Triangle basics
Using trig ratios to find unknown angles
Using trig ratios to find side lengths
Word problems
Coordinate plane
Relations
Functions
Function notation

Taught by

Jeremy Klassen

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