Power Pre-Algebra

A step-by-step guide to Pre-Algebra via walkthroughs of the Glencoe McGraw-Hill textbook

What you'll learn
Understand the basic tools of algebra, including expressions and coordinates
Use the four basic arithmetic operations with all integers
Manipulate rational numbers
Simplify and solve expressions and equations
Tackle multi-step equations and inequalities
Set up and solve problems involving ratios and proportions
Handle all types of percentage problems
Graph and decode all linear functions
Decipher nonlinear functions, including quadratic functions
Implement basic formulas and operations related to right triangles
Solve for missing distances and angles of various polygons
Calculate surface area and volume
Determine the probability of different events and outcomes
Requirements
In order to effectively follow along with this course, you should purchase the Pre-Algebra textbook made by Glencoe McGraw-Hill.
Description
Power Pre-Algebra is a carefully tailored preparatory course for anyone seeking to gain a firm understanding of Pre-Algebra. This course was designed and created because of the lack of appropriate materials in existence that explain exact problems from a specific textbook. While there are a host of videos and explanations online, I wanted to make something that followed precise problems from a particular and popular textbook.Have you ever understood everything a teacher says during class, but as soon as you try the problems at home, the methodologies seem to escape you? Yes, that's what I figured.This phenomenon is extremely common. I have seen it time and again as both a private tutor and a teacher. This phenomenon was the impetus for this course. Power Pre-Algebra walks through a smattering of practice problems from each part of every lesson so you always have a solid walkthrough to lean on no matter what problems have been assigned. Moreover, this course goes through the even problems only (which are notorious for being the problems in textbooks with no answers).If you need to master the subject to earn a solid grade in your math class or simply have an interest in Pre-Algebra, I hope you use this course to gain the results you want and deserve! 

Overview

Section 1: Introduction

Lecture 1 Introduction

Section 2: Chapter 1: The Tools of Algebra

Lecture 2 Lesson 1-1: Words and Expressions

Lecture 3 Lesson 1-2: Variables and Expressions

Lecture 4 Lesson 1-3: Properties

Lecture 5 Lesson 1-4: Ordered Pairs and Relations

Lecture 6 Lesson 1-5: Words, Equations, Tables, and Graphs

Lecture 7 Lesson 1-6: Scatter Plots

Lecture 8 Explanations for Chapter 1 Test

Section 3: Chapter 2: Operations with Integers

Lecture 9 Lesson 2-1: Integers and Absolute Value

Lecture 10 Lesson 2-2: Adding Integers

Lecture 11 Lesson 2-3: Subtracting Integers

Lecture 12 Lesson 2-4: Multiplying Integers

Lecture 13 Lesson 2-5: Dividing Integers

Lecture 14 Lesson 2-6: Graphing in Four Quadrants

Lecture 15 Lesson 2-7: Translations and Reflections

Lecture 16 Explanations for Chapter 2 Test

Section 4: Chapter 3: Operations with Rational Numbers

Lecture 17 Lesson 3-1: Fractions and Decimals

Lecture 18 Lesson 3-2: Rational Numbers

Lecture 19 Lesson 3-3: Multiplying Rational Numbers

Lecture 20 Lesson 3-4: Dividing Rational Numbers

Lecture 21 Lesson 3-5: Add and Subtract Like Fractions

Lecture 22 Lesson 3-6: Add and Subtract Unlike Fractions

Lecture 23 Explanations for Chapter 3 Test

Section 5: Chapter 4: Expressions and Equations

Lecture 24 Lesson 4-1: The Distributive Property

Lecture 25 Lesson 4-2: Simplifying Algebraic Expressions

Lecture 26 Lesson 4-3: Solving Equations by Adding or Subtracting

Lecture 27 Lesson 4-4: Solving Equations by Multiplying or Dividing

Lecture 28 Lesson 4-5: Solving Two-Step Equations

Lecture 29 Lesson 4-6: Writing Equations

Lecture 30 Explanations for Chapter 4 Test

Section 6: Chapter 5: Multi-Step Equations and Inequalities

Lecture 31 Lesson 5-1: Perimeter and Area

Lecture 32 Lesson 5-2: Solving Equations with Variables on Each Side

Lecture 33 Lesson 5-3: Inequalities

Lecture 34 Lesson 5-4: Solving Inequalities

Lecture 35 Lesson 5-5: Solving Multi-Step Equations and Inequalities

Lecture 36 Explanations for Chapter 5 Test

Section 7: Chapter 6: Ratio, Proportion, and Similar Figures

Lecture 37 Lesson 6-1: Ratios

Lecture 38 Lesson 6-2: Unit Rates

Lecture 39 Lesson 6-3: Converting Rates and Measurements

Lecture 40 Lesson 6-4: Proportional and Nonproportional Relationships

Lecture 41 Lesson 6-5: Solving Proportions

Lecture 42 Lesson 6-6: Scale Drawings and Models

Lecture 43 Lesson 6-7: Similar Figures

Lecture 44 Lesson 6-8: Dilations

Lecture 45 Lesson 6-9: Indirect Measurement

Lecture 46 Explanations for Chapter 6 Test

Section 8: Chapter 7: Percent

Lecture 47 Lesson 7-1: Fractions and Percents

Lecture 48 Lesson 7-2: Fractions, Decimals, and Percents

Lecture 49 Lesson 7-3: Using the Percent Proportion

Lecture 50 Lesson 7-4: Find Percent of a Number Mentally

Lecture 51 Lesson 7-5: Fractions and Percents

Lecture 52 Lesson 7-6: Percent of Change

Lecture 53 Lesson 7-7: Simple and Compound Interest

Lecture 54 Math Music Video - Compound Interest

Lecture 55 Lesson 7-8: Circle Graphs

Lecture 56 Explanations for Chapter 7 Test

Section 9: Chapter 8: Linear Functions and Graphing

Lecture 57 Lesson 8-1: Functions

Lecture 58 Lesson 8-2: Sequences and Equations

Lecture 59 Lesson 8-3: Representing Linear Functions

Lecture 60 Lesson 8-4: Rate of Change

Lecture 61 Lesson 8-5: Constant Rate of Change and Direct Variation

Lecture 62 Lesson 8-6: Slope

Lecture 63 Lesson 8-7: Slope-Intercept Form

Lecture 64 Math Music Video - Slope Intercept Form

Lecture 65 Lesson 8-8: Writing Linear Equations

Lecture 66 Lesson 8-9: Prediction Equations

Lecture 67 Lesson 8-10: Systems of Equations

Lecture 68 Explanations for Chapter 8 Test

Section 10: Chapter 9: Powers and Nonlinear Functions

Lecture 69 Lesson 9-1: Powers and Exponents

Lecture 70 Math Music Video - Exponents

Lecture 71 Lesson 9-2: Prime Factorization

Lecture 72 Lesson 9-3: Multiplying and Dividing Monomials

Lecture 73 Lesson 9-4: Negative Exponents

Lecture 74 Lesson 9-5: Scientific Notation

Lecture 75 Lesson 9-6: Powers of Monomials

Lecture 76 Lesson 9-7: Linear and Nonlinear Functions

Lecture 77 Lesson 9-8: Quadratic Functions

Lecture 78 Lesson 9-9: Cubic and Exponential Functions

Section 11: Chapter 10: Real Numbers and Right Triangles

Lecture 79 Lesson 10-1: Squares and Square Roots

Lecture 80 Lesson 10-2: The Real Number System

Lecture 81 Lesson 10-3: Triangles

Lecture 82 Lesson 10-4: The Pythagorean Theorem

Lecture 83 Lesson 10-5: The Distance Formula

Lecture 84 Lesson 10-6: Special Right Triangles

Lecture 85 Math Music Video - Special Right Triangles

Lecture 86 Explanations for Chapter 10 Test

Section 12: Chapter 11: Distance and Angle

Lecture 87 Lesson 11-1: Angle and Line Relationships

Lecture 88 Lesson 11-2: Congruent Triangles

Lecture 89 Lesson 11-3: Rotations

Lecture 90 Lesson 11-4: Quadrilaterals

Lecture 91 Lesson 11-5: Polygons

Lecture 92 Lesson 11-6: Area of Parallelograms, Triangles, and Trapezoids

Lecture 93 Lesson 11-7: Circles and Circumferences

Lecture 94 Lesson 11-8: Area of Circles

Lecture 95 Lesson 11-9: Area of Composite Figures

Section 13: Chapter 12: Surface Area and Volume

Lecture 96 Lesson 12-1: Three-Dimensional Figures

Lecture 97 Lesson 12-2: Volume of Prisms

Lecture 98 Lesson 12-3: Volume of Cylinders

Lecture 99 Lesson 12-4: Volume of Pyramids, Cones, and Spheres

Lecture 100 Lesson 12-5: Surface Area of Prisms

Lecture 101 Lesson 12-6: Surface Area of Cylinders

Lecture 102 Lesson 12-7: Surface Area of Pyramids and Cones

Lecture 103 Lesson 12-8: Similar Solids

Section 14: Chapter 13: Statistics and Probability

Lecture 104 Lesson 13-1: Measures of Central Tendency

Lecture 105 Lesson 13-2: Stem-and-Leaf Plots

Lecture 106 Lesson 13-3: Measures of Variation

Lecture 107 Lesson 13-4: Box-and-Whisker Plots

Lecture 108 Lesson 13-5: Histograms

Lecture 109 Lesson 13-6: Theoretical and Experimental Probability

Lecture 110 Lesson 13-7: Using Sampling to Predict

Lecture 111 Lesson 13-8: Counting Outcomes

Lecture 112 Lesson 13-9: Permutations and Combinations

Lecture 113 Lesson 13-10: Probability of Compound Events

This course is for anyone who is interested in gaining a concrete understanding of Pre-Algebra. This course has been carefully designed to allow students to navigate the entire Glencoe McGraw Hill textbook without outside instruction.,This course is not for students who have not yet completed elementary level mathematics.