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Sunday, August 31, 2014
Complementary Angles
Introduction
In our previous post we said that supplementary angles always add up to 180 degrees.
Complementary Angles are angles that always add up to 90 degrees.
That means that complementary angles are half of supplementary angles because 90 is half of 180!
Vertical Angles
Vertical Angles are angles that share the same (common) vertex. Therefore, if two angles are vertical, they are congruent angles.
Transversals
Introduction
In our previous post, we talked about parallel lines. Well, this post will continue the parallel lines concept except this topic will focus on transversal lines.
Transversals are lines that cut through a pair of lines, mostly parallel.
What is Line
Preview
A line, yes that is the topic, A line is just basically a vertical or horizontal, long or short, narrow or bold piece.This is the one thing that everyone has to know because this is not only used in math but in other things as well.In math a line is described to go on forever and used to make number lines.
What are Points and Rays
Preview
Points are not anything special thing they are the very thing that you use to end a sentence and these points are also used in math except these points are to point out a specific location.Points are usually used in grids to describe a location.
Rays are not frequencies in math neither are they the fantasy movie rays the come out of a ray gun although they are a type of line and this line starts with a point then it keeps on going
Both points and rays are connected in a way because there has to be a point in a ray to start it so a ray has the point also.
Parallel Lines
Introduction
What are Parallel Lines? Well, parallel lines are lines that never intersect. So if they don't intersect, they always run alongside each other. Take a look at an example of parallel lines below:
Tuesday, August 26, 2014
Algebra I
Chapter 1: Basics of Algebra
- Introduction to Consecutive Integers
- Consecutive Integers and Word Problems
- Perimeter World Problems Involving Variables
- Variables and Expressions
- Convert Word Statements into Algebraic Expressions
- Order of Operations and Evaluation of Expressions
- Properties of Real Numbers
- The Distributive Property
- Introduction to Equations
Chapter 2: Solving Equations
- One-Step Equations
- Two-Step Equations
- Multi-Step Equations
- Equations w/variables on both sides
- Literal Equations
- Writing an equation of a line when given two point
- Writing an Equation from Standard form to Slop Intercept form
- How to Convert Slope-Intercept From to Standard Form
Chapter 3: Solving Inequalities
- Introduction to Inequalities
- Solving Inequalities with addition or subtraction
- Solving Inequalities with multiplication or division
- Solving Multi-Step Inequalities
- What are Compound Inequalities
- Solving Compound Inequalities
- Absolute Value Equations and Inequalities
Chapter 4: Introduction to Functions
- Using Graphs to Relate Two Quantities
- Linear Functions and Patterns
- Nonlinear Functions and Patterns
- Graphing Function Rules
- Writing Function Rules
- Relations and Functions
- Sequences and Functions
- Find the Missing Coordinates
Chapter 5: Linear Functions
- Rate of Change and Slope
- Direct Variation
- Graphing Absolute Value Functions
- Writing a Linear Equation from a Table
Chapter 6: Systems of Equations and Inequalities
- Solving Systems by Graphing Method
- Solving Systems by Substitution Method
- Solving Systems by Elimination Method
- Linear Inequalities
- Solving Systems of Linear Inequalities
Chapter 7: Exponents and Exponential Functions
- Zero and Negative Exponents
- Scientific Notation
- Multiplying Powers with the Same Base
- Multiplication Properties of Exponents
- Division Properties of Exponents
- Exponential Functions
- Exponential Growth and Decay
Chapter 8: Polynomials and Factoring
- What is Monomial
- What is Degree of Monomial
- What is Polynomial
- Standard Form of Polynomial
- Classifying Polynomials
- How to Add Polynomial
- How to Subtract Polynomial
- Multiplying a Monomial and a Trinomial
- GCF (Greatest Common Factor) of a Polynomial
- Factoring out a Monomial
- Multiplying a Binomial and a Trinomial
- The Square of a Binomial
- The Product of a Sum and Difference
- Factoring x²+bx+c When value of C is less than 0
- Factoring x²+bx+ c When b is less than 0 and c is greater than 0
- Factoring x²+bx+c When b is greater than 0 and c is also greater than 0
- Applying Factoring Trinomials
- Factoring a Trinomial with Two Variables
- Factoring ax^2+bx+c when ac is Positive
- Factoring ax^2+bx+c when ac is Negative
- Factoring Perfect-Square Trinomials
- Factoring a Difference of Two Squares
- Factoring out a Common Factor
- Factoring a Cubic Polynomial
- Factoring a Polynomial Completely
Chapter 9: Quadratic Functions and Equations
- Quadratic Graphs and Their Properties
- Quadratic Functions
- Solving Quadratic Equations
- Solve Quadratic Equations by Factoring
- Quadratic Formula and The Discriminant
- Linear, Quadratic, and Exponential Models
- Systems of Linear and Quadratic Equations
Chapter 10: Radical Expressions and Equations
- Introduction to The Pythagorean Theorem
- Simplifying Radicals
- Adding and Subtracting Radicals
- Operations with Radical Expressions
- Solving Radical Equations
Chapter 11: Rational Expressions and Functions
- Simplifying Rational Expressions
- Multiplying and Dividing Rational Expressions
- Dividing Polynomials
Algebra I
Chapter 1: Basics of Algebra
- Introduction to Consecutive Integers
- Consecutive Integers and Word Problems
- Perimeter World Problems Involving Variables
- Variables and Expressions
- Convert Word Statements into Algebraic Expressions
- Order of Operations and Evaluation of Expressions
- Properties of Real Numbers
- The Distributive Property
- Introduction to Equations
Chapter 2: Solving Equations
- One-Step Equations
- Two-Step Equations
- Multi-Step Equations
- Equations w/variables on both sides
- Literal Equations
- Writing an equation of a line when given two point
- Writing an Equation from Standard form to Slop Intercept form
- How to Convert Slope-Intercept From to Standard Form
Chapter 3: Solving Inequalities
- Introduction to Inequalities
- Solving Inequalities with addition or subtraction
- Solving Inequalities with multiplication or division
- Solving Multi-Step Inequalities
- What are Compound Inequalities
- Solving Compound Inequalities
- Absolute Value Equations and Inequalities
Chapter 4: Introduction to Functions
- Using Graphs to Relate Two Quantities
- Linear Functions and Patterns
- Nonlinear Functions and Patterns
- Graphing Function Rules
- Writing Function Rules
- Relations and Functions
- Sequences and Functions
- Find the Missing Coordinates
Chapter 5: Linear Functions
- Rate of Change and Slope
- Direct Variation
- Graphing Absolute Value Functions
- Writing a Linear Equation from a Table
Chapter 6: Systems of Equations and Inequalities
- Solving Systems by Graphing Method
- Solving Systems by Substitution Method
- Solving Systems by Elimination Method
- Linear Inequalities
- Solving Systems of Linear Inequalities
Chapter 7: Exponents and Exponential Functions
- Zero and Negative Exponents
- Scientific Notation
- Multiplying Powers with the Same Base
- Multiplication Properties of Exponents
- Division Properties of Exponents
- Exponential Functions
- Exponential Growth and Decay
Chapter 8: Polynomials and Factoring
- What is Monomial
- What is Degree of Monomial
- What is Polynomial
- Standard Form of Polynomial
- Classifying Polynomials
- How to Add Polynomial
- How to Subtract Polynomial
- Multiplying a Monomial and a Trinomial
- GCF (Greatest Common Factor) of a Polynomial
- Factoring out a Monomial
- Multiplying a Binomial and a Trinomial
- The Square of a Binomial
- The Product of a Sum and Difference
- Factoring x²+bx+c When value of C is less than 0
- Factoring x²+bx+ c When b is less than 0 and c is greater than 0
- Factoring x²+bx+c When b is greater than 0 and c is also greater than 0
- Applying Factoring Trinomials
- Factoring a Trinomial with Two Variables
- Factoring ax^2+bx+c when ac is Positive
- Factoring ax^2+bx+c when ac is Negative
- Factoring Perfect-Square Trinomials
- Factoring a Difference of Two Squares
- Factoring out a Common Factor
- Factoring a Cubic Polynomial
- Factoring a Polynomial Completely
Chapter 9: Quadratic Functions and Equations
- Quadratic Graphs and Their Properties
- Quadratic Functions
- Solving Quadratic Equations
- Solve Quadratic Equations by Factoring
- Quadratic Formula and The Discriminant
- Linear, Quadratic, and Exponential Models
- Systems of Linear and Quadratic Equations
Chapter 10: Radical Expressions and Equations
- Introduction to The Pythagorean Theorem
- Simplifying Radicals
- Adding and Subtracting Radicals
- Operations with Radical Expressions
- Solving Radical Equations
Chapter 11: Rational Expressions and Functions
- Simplifying Rational Expressions
- Multiplying and Dividing Rational Expressions
- Dividing Polynomials
Thursday, August 14, 2014
Multiplying Exponents
Multiplying Exponents
In this lesson, you will learn how to multiply exponents. This is a very easy topic because all you have to do is multiply two exponents together!
For example let's say that you have the two exponents 3 to the power of 8 and 2 to the power of 5.
First, find the values of each exponent!
3 to the power of 8 is the same thing as 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 which equals 6,561
2 to the power of 5 is the same thing as 2 x 2 x 2 x 2 x 2 which equals 32
Now, just simply multiply both values.
6,561 x 32 = 209,952
Subtracting Exponents
Subtracting Exponents
In this lesson, you will learn all about exponents and also how to subtract two different exponents. But what is an exponent?
Exponent: A power that a number is given
For example let's say that we have the two exponents 5 to the power of 4 and 7 to the power of 3.
First, find the value of the two exponents.
5 to the power of 4 is the same thing as 5 x 5 x 5 x 5 which equals 625.
7 to the power of 3 is the same thing as 7 x 7 x 7 which equals 343.
Now just simply subtract the two to find the difference!
625 - 343 = 282
That means the difference of the two exponents is equal to 282.
Adding Exponents
Adding Exponents
In this lesson, you will learn all about exponents and also how you can add two different exponents together. But to start off, let's review the definition of exponents.
Exponent: a power that a number is given.
For example let's say that we have the number 6 to the power of 3 and 4 to the power of 2. The first step in adding these is to find out the answer to each of these exponents.
6 to the power of 3 is the same thing as 6 x 6 x 6 which equals 216.
4 to the power of 2 is the same thing as 4 x 4 which equals 16.
Now all you have to do is add the two values together!
216 + 16 equals 232.
That means the sum of 6 to the power of 3 and 4 to the power of 2 is equal to 232.
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