Algebra 1 (8th Grade)Algebra 1 (8th Grade)
Use these videos and readings to enhance your understanding of material that we cover in class. Note: These videos DO NOT cover everything we have covered in class. However, this is a REALLY good place to start if you are having trouble on an assignment.
Review of Old “Core” Material from 7th Grade
Commutative, Associative, and Distributive Property
Combining Like Terms and the Distributive Property
Solving Equations with Variables on Both Sides
Introduction to Cross Multiplication
Cross Multiplication (with Distributive Property Example)
Inequalities with Addition and Subtraction
Inequalities with Multiplication and Division
Solving Multi-Step Inequalities
Graphing Lines in Slope-Intercept Form (y=mx + b)
Graphing Lines in Standard Form (Ax + By = C)
Graphing Lines in Point – Slope Form (y-y1=m(x-x1))
Manipulating Forms of Equations (in this case putting them in standard form)
Equations of Parallel and Perpendicular Lines
Geometry Needed for Common Core
Plotting Points and the Coordinate Graph
Reflecting over the X or Y Axis
Reflections over a Vertical or Horizontal Line
Rotations of 90, 180, and 270 Degrees
Congruence and Transformations
Similarity and Transformations
Acute, Right, and Obtuse Angles
Parallel vs. Perpendicular Lines
Complimentary and Supplementary Angles
Alternate Interior, Alternate Exterior, and Corresponding Angles
Sum of Angles in a Triangle is 180 Degrees
Finding Missing Parts of Adjacent Angles
Angle Measurements in Parallel Lines
Using Algebra to Find Measures of Angles Formed by Two Parallel Lines Cut by a Transversal
Unit 7: Solving Systems of Equations and Inequalities
Solving Systems by Adding or Subtracting First
Solving Systems by Multiplying First
Special Systems with 0 or infinite number of solutions
Solving Systems with Three Variables
Solving Systems of Linear Inequalities
Unit 8: Exponents and Exponential Functions
Multiplication Properties of Exponents
Exponents Raised to the 0th Power
Division Properties of Exponents
Going from Scientific Notation to Standard Form
Going from Standard Form to Scientific Notation
Scientific Notation Adding and Subtracting
Scientific Notation Multiplying and Dividing
Graphing Exponential Growth and Decay
Unit 9: Polynomials and Factoring
Multiplying a Monomial by a Polynomial
Multiplying a Polynomial by a Polynomial
Special Products of Polynomials
Factoring Polynomials using the GCF
Factoring (a is not equal to 1)
Factoring Differences of Squares
Factoring Perfect Square Trinomials
Solve Quadratic Equations by Factoring
Unit 10: Quadratic Equations and Functions
Graphing y = ax^2 + bx + c (includes axis of symmetry, vertex, and intercepts)
Minimum and Maximum Values of Quadratics
Graphing Quadratics in Intercept Form
Finding x and y intercepts of quadratics (including imaginary numbers)
Example of when a quadratic only has one intercept
Square Root Technique to Solve Quadratics
Solve Quadratics by Completing the Square
Graphing Quadratics in Vertex Form
Solving Quadratics using the Quadratic Formula
Comparing Linear, Exponential, and Quadratic Models
Unit 11: Radicals and Geometry Connections
Graphing Square Root Functions
Domain and Range of Square Root Functions
Adding and Subtracting Radicals
Extraneous Solutions and Radical Equations
Proof (but there are a lot of them) of the Pythagorean Theorem
Unit 12: Rational Equations and Functions
Direct vs. Indirect Variation (letters are different from our book but it’s the same thing)
Graphing Hyperbolas (slightly more difficult)
Finding Horizontal and Vertical Asymptotes
Dividing a Polynomial by a Monomial
Dividing a Polynomial by a Binomial (long division technique)
Simplifying Rational Expressions
Multiplying and Dividing Rational Expressions
Adding and Subtracting Rational Expressions
Unit 13: Probability and Data Analysis
Theoretical vs. Experimental Probability
Probability of Compound Events
Independent vs. Dependent Events
Different Types of Sampling Methods
Measures of Central Tendency (Mean, Median and Mode)
Use these videos and readings to enhance your understanding of material that we cover in class. Note: These videos DO NOT cover everything we have covered in class. However, this is a REALLY good place to start if you are having trouble on an assignment.
Review of Old “Core” Material from 7th Grade
Commutative, Associative, and Distributive Property
Combining Like Terms and the Distributive Property
Solving Equations with Variables on Both Sides
Introduction to Cross Multiplication
Cross Multiplication (with Distributive Property Example)
Inequalities with Addition and Subtraction
Inequalities with Multiplication and Division
Solving Multi-Step Inequalities
Graphing Lines in Slope-Intercept Form (y=mx + b)
Graphing Lines in Standard Form (Ax + By = C)
Graphing Lines in Point – Slope Form (y-y1=m(x-x1))
Manipulating Forms of Equations (in this case putting them in standard form)
Equations of Parallel and Perpendicular Lines
Geometry Needed for Common Core
Plotting Points and the Coordinate Graph
Reflecting over the X or Y Axis
Reflections over a Vertical or Horizontal Line
Rotations of 90, 180, and 270 Degrees
Congruence and Transformations
Similarity and Transformations
Acute, Right, and Obtuse Angles
Parallel vs. Perpendicular Lines
Complimentary and Supplementary Angles
Alternate Interior, Alternate Exterior, and Corresponding Angles
Sum of Angles in a Triangle is 180 Degrees
Finding Missing Parts of Adjacent Angles
Angle Measurements in Parallel Lines
Using Algebra to Find Measures of Angles Formed by Two Parallel Lines Cut by a Transversal
Unit 7: Solving Systems of Equations and Inequalities
Solving Systems by Adding or Subtracting First
Solving Systems by Multiplying First
Special Systems with 0 or infinite number of solutions
Solving Systems with Three Variables
Solving Systems of Linear Inequalities
Unit 8: Exponents and Exponential Functions
Multiplication Properties of Exponents
Exponents Raised to the 0th Power
Division Properties of Exponents
Going from Scientific Notation to Standard Form
Going from Standard Form to Scientific Notation
Scientific Notation Adding and Subtracting
Scientific Notation Multiplying and Dividing
Graphing Exponential Growth and Decay
Unit 9: Polynomials and Factoring
Multiplying a Monomial by a Polynomial
Multiplying a Polynomial by a Polynomial
Special Products of Polynomials
Factoring Polynomials using the GCF
Factoring (a is not equal to 1)
Factoring Differences of Squares
Factoring Perfect Square Trinomials
Solve Quadratic Equations by Factoring
Unit 10: Quadratic Equations and Functions
Graphing y = ax^2 + bx + c (includes axis of symmetry, vertex, and intercepts)
Minimum and Maximum Values of Quadratics
Graphing Quadratics in Intercept Form
Finding x and y intercepts of quadratics (including imaginary numbers)
Example of when a quadratic only has one intercept
Square Root Technique to Solve Quadratics
Solve Quadratics by Completing the Square
Graphing Quadratics in Vertex Form
Solving Quadratics using the Quadratic Formula
Comparing Linear, Exponential, and Quadratic Models
Unit 11: Radicals and Geometry Connections
Graphing Square Root Functions
Domain and Range of Square Root Functions
Adding and Subtracting Radicals
Extraneous Solutions and Radical Equations
Proof (but there are a lot of them) of the Pythagorean Theorem
Unit 12: Rational Equations and Functions
Direct vs. Indirect Variation (letters are different from our book but it’s the same thing)
Graphing Hyperbolas (slightly more difficult)
Finding Horizontal and Vertical Asymptotes
Dividing a Polynomial by a Monomial
Dividing a Polynomial by a Binomial (long division technique)
Simplifying Rational Expressions
Multiplying and Dividing Rational Expressions
Adding and Subtracting Rational Expressions
Unit 13: Probability and Data Analysis
Theoretical vs. Experimental Probability
Probability of Compound Events
Independent vs. Dependent Events
Different Types of Sampling Methods
Measures of Central Tendency (Mean, Median and Mode)
