Congruent

Introduction

Congruent means that the figures are the same in size and shape. If you can turn (rotate), flip (reflect) or slide (translate) the figures and the result is the same figure then  they are congruent figures (shapes).

Right Angles

Introduction

Right Angles are angles that are always 90 degrees. That means that right angles can also be considered complementary angles, since complementary angles are also 90 degrees exact.

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!

Supplementary Angles

Introduction

Supplementary Angles are angles that always add up to 180 degrees.

Vertical Angles

Vertical Angles are angles that share the same (common) vertex. Therefore, if two angles are vertical, they are congruent angles.

Perpendicular Lines

Introduction

Perpendicular Lines are lines that meet at right angles, or at the measurement of 90 degrees.

Alternate Exterior Angles

Introduction

Alternate Exterior Angles are angles that are outside of the parallel lines but on opposite sides of the Transversal Line.

Alternate Interior Angles

Introduction

Alternate Interior Angles are angles that are between the two lines (parallel) but on opposite sides of the Transversal Line.

Corresponding Angles

Introduction

Corresponding Angles are angles that are in the same corner of a Transversal.

A and A are corresponding and B and B are corresponding.

Adjacent Angles

Introduction

Adjacent Angles are angles that have a same vertex or corner and a same side.

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:

Algebra I

Chapter 1: Basics of Algebra

1. Introduction to Consecutive Integers
2. Consecutive Integers and Word Problems
3. Perimeter World Problems Involving Variables
4. Variables and Expressions
5. Convert Word Statements into Algebraic Expressions
6. Order of Operations and Evaluation of Expressions
7. Properties of Real Numbers
8. The Distributive Property
9. Introduction to Equations

Chapter 2: Solving Equations

1. One-Step Equations
2. Two-Step Equations
3. Multi-Step Equations
4. Equations w/variables on both sides
5. Literal Equations
6. Writing an equation of a line when given two point
7. Writing an Equation from Standard form to Slop Intercept form
8. How to Convert Slope-Intercept From to Standard Form

Chapter 3: Solving Inequalities

1. Introduction to Inequalities
2. Solving Inequalities with addition or subtraction
3. Solving Inequalities with multiplication or division
4. Solving Multi-Step Inequalities
5. What are Compound Inequalities
6. Solving Compound Inequalities
7. Absolute Value Equations and Inequalities

Chapter 4: Introduction to Functions

1. Using Graphs to Relate Two Quantities
2. Linear Functions and Patterns
3. Nonlinear Functions and Patterns
4. Graphing Function Rules
5. Writing Function Rules
6. Relations and Functions
7. Sequences and Functions
8. Find the Missing Coordinates

Chapter 5: Linear Functions

1. Rate of Change and Slope
2. Direct Variation
3. Graphing Absolute Value Functions
4. Writing a Linear Equation from a Table

Chapter 6: Systems of Equations and Inequalities

1. Solving Systems by Graphing Method
2. Solving Systems by Substitution Method
3. Solving Systems by Elimination Method
4. Linear Inequalities
5. Solving Systems of Linear Inequalities

Chapter 7: Exponents and Exponential Functions

1. Zero and Negative Exponents
2. Scientific Notation
3. Multiplying Powers with the Same Base
4. Multiplication Properties of Exponents
5. Division Properties of Exponents
6. Exponential Functions
7. Exponential Growth and Decay

Chapter 8: Polynomials and Factoring

1. What is Monomial
2. What is Degree of Monomial
3. What is Polynomial
4. Standard Form of Polynomial
5. Classifying Polynomials
6. How to Add Polynomial
7. How to Subtract Polynomial
8. Multiplying a Monomial and a Trinomial
9. GCF (Greatest Common Factor) of a Polynomial
10. Factoring out a Monomial
11. Multiplying a Binomial and a Trinomial
12. The Square of a Binomial
13. The Product of a Sum and Difference
14. Factoring x²+bx+c When value of C is less than 0
15. Factoring x²+bx+ c When b is less than 0 and c is greater than 0
16. Factoring x²+bx+c When b is greater than 0 and c is also greater than 0
17. Applying Factoring Trinomials
18. Factoring a Trinomial with Two Variables
19. Factoring ax^2+bx+c when ac is Positive
20. Factoring ax^2+bx+c when ac is Negative
21. Factoring Perfect-Square Trinomials
22. Factoring a Difference of Two Squares
23. Factoring out a Common Factor
24. Factoring a Cubic Polynomial
25. Factoring a Polynomial Completely

Chapter 9: Quadratic Functions and Equations

1. Quadratic Graphs and Their Properties
2. Quadratic Functions
3. Solving Quadratic Equations
4. Solve Quadratic Equations by Factoring
5. Quadratic Formula and The Discriminant
6. Linear, Quadratic, and Exponential Models
7. Systems of Linear and Quadratic Equations

Chapter 10: Radical Expressions and Equations

1. Introduction to The Pythagorean Theorem
2. Simplifying Radicals
3. Adding and Subtracting Radicals
4. Operations with Radical Expressions
5. Solving Radical Equations

Chapter 11: Rational Expressions and Functions

1. Simplifying Rational Expressions
2. Multiplying and Dividing Rational Expressions
3. Dividing Polynomials

Algebra I

Chapter 1: Basics of Algebra

1. Introduction to Consecutive Integers
2. Consecutive Integers and Word Problems
3. Perimeter World Problems Involving Variables
4. Variables and Expressions
5. Convert Word Statements into Algebraic Expressions
6. Order of Operations and Evaluation of Expressions
7. Properties of Real Numbers
8. The Distributive Property
9. Introduction to Equations

Chapter 2: Solving Equations

1. One-Step Equations
2. Two-Step Equations
3. Multi-Step Equations
4. Equations w/variables on both sides
5. Literal Equations
6. Writing an equation of a line when given two point
7. Writing an Equation from Standard form to Slop Intercept form
8. How to Convert Slope-Intercept From to Standard Form

Chapter 3: Solving Inequalities

1. Introduction to Inequalities
2. Solving Inequalities with addition or subtraction
3. Solving Inequalities with multiplication or division
4. Solving Multi-Step Inequalities
5. What are Compound Inequalities
6. Solving Compound Inequalities
7. Absolute Value Equations and Inequalities

Chapter 4: Introduction to Functions

1. Using Graphs to Relate Two Quantities
2. Linear Functions and Patterns
3. Nonlinear Functions and Patterns
4. Graphing Function Rules
5. Writing Function Rules
6. Relations and Functions
7. Sequences and Functions
8. Find the Missing Coordinates

Chapter 5: Linear Functions

1. Rate of Change and Slope
2. Direct Variation
3. Graphing Absolute Value Functions
4. Writing a Linear Equation from a Table

Chapter 6: Systems of Equations and Inequalities

1. Solving Systems by Graphing Method
2. Solving Systems by Substitution Method
3. Solving Systems by Elimination Method
4. Linear Inequalities
5. Solving Systems of Linear Inequalities

Chapter 7: Exponents and Exponential Functions

1. Zero and Negative Exponents
2. Scientific Notation
3. Multiplying Powers with the Same Base
4. Multiplication Properties of Exponents
5. Division Properties of Exponents
6. Exponential Functions
7. Exponential Growth and Decay

Chapter 8: Polynomials and Factoring

1. What is Monomial
2. What is Degree of Monomial
3. What is Polynomial
4. Standard Form of Polynomial
5. Classifying Polynomials
6. How to Add Polynomial
7. How to Subtract Polynomial
8. Multiplying a Monomial and a Trinomial
9. GCF (Greatest Common Factor) of a Polynomial
10. Factoring out a Monomial
11. Multiplying a Binomial and a Trinomial
12. The Square of a Binomial
13. The Product of a Sum and Difference
14. Factoring x²+bx+c When value of C is less than 0
15. Factoring x²+bx+ c When b is less than 0 and c is greater than 0
16. Factoring x²+bx+c When b is greater than 0 and c is also greater than 0
17. Applying Factoring Trinomials
18. Factoring a Trinomial with Two Variables
19. Factoring ax^2+bx+c when ac is Positive
20. Factoring ax^2+bx+c when ac is Negative
21. Factoring Perfect-Square Trinomials
22. Factoring a Difference of Two Squares
23. Factoring out a Common Factor
24. Factoring a Cubic Polynomial
25. Factoring a Polynomial Completely

Chapter 9: Quadratic Functions and Equations

1. Quadratic Graphs and Their Properties
2. Quadratic Functions
3. Solving Quadratic Equations
4. Solve Quadratic Equations by Factoring
5. Quadratic Formula and The Discriminant
6. Linear, Quadratic, and Exponential Models
7. Systems of Linear and Quadratic Equations

Chapter 10: Radical Expressions and Equations

1. Introduction to The Pythagorean Theorem
2. Simplifying Radicals
3. Adding and Subtracting Radicals
4. Operations with Radical Expressions
5. Solving Radical Equations

Chapter 11: Rational Expressions and Functions

1. Simplifying Rational Expressions
2. Multiplying and Dividing Rational Expressions
3. Dividing Polynomials

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.