Numbers And Algebra 1 (Zero To Hero)

lighthearted; step-by-step learning everything from Numbers to Algebra 1

What you'll learn
New to Algebra? This Will be the Only Course You Will Ever Need to Take
Numbers including The Real number system, adding, subtracting, multiplying and dividing rational number
Operations including Order of operations (BEDMAS), Properties/Laws of real numbers
Exponents (positive and negative and its laws), Scientific notation, Radicals and discover Shortcuts using Square numbers
Algebraic expression including Simplify algebraic expressions and Polynomial
Equation including Solving linear equations (one and two variables) using Balancing and Transpose methods
Graphs including Coordinate plane, Graphs of equation in two variables, Slope and Graphs of Linear equations
Inequalities including Solving and Graphing linear inequalities
Requirements
Basic Arithmetic
Any questions are always welcome. If you have any questions about the lectures, please ask them. By using QA, all of the other students will be able to see my work.
Description
The course is designed to improve student comprehension. A great deal of care has been taken to design a course that is both mathematically correct and understandable to students. An informal style is used for exposition, definitions, and so on. Precision, however, is not compromised.And. It is:-> Fully-graphical, and algebraically explained.-> Clear-cut and to the point.-> Concise and comprehensive.-> Explained with real-life example.What you are going to learn?-> I'll be taking you step-by-step through all of algIebra's key ideas, covering everything from Numbers to Algebra 1.-> How to solve problems using at least two approaches that helps build your intuition.Additionally, I have videos that walk you through each concept, as well as quizzes and each example is followed by a checkpoint exercise.After working through an example, students can try the checkpoint exercise to check their understanding of the concepts presented in the example video.What you are going to get?-> Our course takes two approaches:1) Graphical, and2) Algebraic. Finally… You will discover your approach to analyzing, and solving problems.Topics covered in the course include:~ Numbers including The Real number system, adding, subtracting, multiplying and dividing rational number~ Operations including Order of operations (BEDMAS), Properties/Laws of real numbers ~ Exponents (positive and negative and its laws), Scientific notation, Radicals and discover Shortcuts using Square numbers~ Algebraic expression including Simplify algebraic expressions and Polynomial ~ Equation including Solving linear equations (one and two variables) using Balancing and Transpose methods~ Graphs including Coordinate plane, Graphs of equation in two variables, Slope and Graphs of Linear equations ~ Inequalities including Solving and Graphing linear inequalities

Overview

Section 1: A basic introduction to Algebra

Lecture 1 A basic introduction to Algebra

Section 2: Numbers and Operations

Lecture 2 Types of Numbers

Lecture 3 Why should not divide a number by zero?

Lecture 4 Identity law

Lecture 5 Commutative laws

Lecture 6 Multiplication of negative numbers

Lecture 7 Inverse properties (or laws)

Lecture 8 Different ways to write multiplication

Lecture 9 Order of Operations (BEDMAS)

Lecture 10 More examples for Order of Operations

Lecture 11 Absolute value

Lecture 12 Associative laws

Lecture 13 Distributive laws

Section 3: Rational numbers

Lecture 14 Equivalent rational number

Lecture 15 Standard form of rational number

Lecture 16 Multiply and Divide rational numbers

Lecture 17 Add and Subtract rational numbers (same denominators)

Lecture 18 Add and Subtract rational numbers (different denominators)

Lecture 19 Add and Subtract rational numbers (LCM METHOD)

Section 4: Exponents

Lecture 20 Exponents (Introduction)

Lecture 21 Negative Exponents

Lecture 22 Why any non-zero number power zero equals 1

Lecture 23 Why zero power zero is undefined

Section 5: Exponents (Squares and Square roots)

Lecture 24 Square numbers

Lecture 25 Squares shortcuts

Lecture 26 Square root

Lecture 27 Prime factorization

Lecture 28 More examples for prime factorization

Lecture 29 Square root of product

Lecture 30 Square root of quotient

Section 6: Laws of exponents

Lecture 31 Product rule

Lecture 32 Quotient rule

Lecture 33 Different base with same powers

Lecture 34 Power rule

Lecture 35 Use the laws of exponents to simplify expression.

Lecture 36 1. Rewrite each expression with positive exponents.

Lecture 37 2. Rewrite each expression with positive exponents.

Lecture 38 Scientific notation

Section 7: Algebraic expressions

Lecture 39 Introduction to algebraic expression

Lecture 40 Like and Unlike terms

Lecture 41 Combining expressions

Lecture 42 Multiplying expressions

Lecture 43 Polynomials

Section 8: Special products

Lecture 44 Difference of two squares

Lecture 45 Square of a binomial with positive sign

Lecture 46 Square of a binomial with negative sign

Lecture 47 Shortcuts

Lecture 48 Examples (video 1)

Lecture 49 Examples (video 2)

Section 9: Equations

Lecture 50 Balancing method

Lecture 51 Transpose method

Lecture 52 Equations and Formulas

Lecture 53 Solving linear equations with one variable

Lecture 54 2. Solving linear equations with one variable

Lecture 55 3. Solving linear equations with one variable

Lecture 56 Cross multiply for solving equations (or proportions)

Section 10: Graphing linear equations

Lecture 57 Coordinate plane

Lecture 58 Graphing linear equations

Lecture 59 2. Graphing linear equations

Lecture 60 Slope and y-intercept form

Lecture 61 Slope values

Lecture 62 Slope formula

Lecture 63 Graphing linear equations using slope-intercept form

Lecture 64 2. Graphing linear equations using slope-intercept form

Section 11: Inequalities

Lecture 65 Introduction to inequalities

Lecture 66 Solving linear inequalities with one variable

Lecture 67 2. Solving linear inequalities with one variable

Lecture 68 3. Solving linear inequalities with one variable

This course is for anyone learning algebra for the first time or trying to recall what they already know but have forgotten.,It offers a simple, entertaining, and educational introduction to Algebra. Be not afraid. Jump in—Do it now; it won't hurt you!