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Chapter 1: Intro to Pre-Algebra

  • Introduction to Numbers

Chapter 2: Whole Numbers

  • Place Values
  • Comparing Whole Numbers
  • Rounding Up Numbers

Chapter 3: Operations on Whole Numbers

  • Addition and Subtraction
  • Multiplication
  • Division
  • Exponents
  • Estimating Values

Chapter 4: Number Lines, Integers & Abs. Values

  • Introduction to Integers & Absolute Value
  • Comparing Integers and Absolute Value
  • Operations on Integers
  • Order of Operations

Chapter 5: Fundamental Arithmetic Properties

  • Commutative Property
  • Associative Property
  • Distributive Property
  • Identity Property
  • Inverse Property

Chapter 6: Factors and Multiples

  • Divisibility of Numbers
  • Factors
  • Finding the Greatest Common Factor (GCF)
  • Multiples

Chapter 7: Fractions

  • Introduction to Fractions
  • Simplifying Fractions
  • Comparing Fractions
  • Addition and Subtraction of Fractions
  • Multiplication and Division of Fractions
  • Operations on Mixed Numbers

Chapter 8: Decimals

  • Introduction to Decimals
  • Comparing Decimals
  • Rounding Up Decimals
  • Operations on Decimals
  • Scientific Notation

Unit 9: Fundamentals of Algebra

  • Understanding Algebra
  • Operations in Algebra
  • Radicals in Algebra
  • Solving Equations
  • Solving Inequalities

Unit 10: Ratios, Proportions & Percentages

  • Ratio and Proportion
  • Setting Up and Solving Proportions
  • Introduction to Percentages
  • Solving Percentage Problems
  • Unit Conversion
  • Solving Percentage Problems with Applications
  • Percentage Increase or Decrease
  • Markup, Discount, and Tax
  • Simple Interest Calculation

Unit 11: The Coordinate Plane

  • Introduction to the Coordinate Plane
  • Graphing Basic Linear Equations

Unit 12: Geometry

  • Points, Lines and Planes
  • Identifying Angles
  • Parallel Lines
  • 2D Shapes (Triangles and Parallelograms)
  • Area and Perimeter
  • Circle (Circumference and Area)
  • Volume

Unit 13: Fundamentals of Probability

  • Basic Probability Concepts
  • Complementary Events
  • Compound Events

Unit 14: Data Analysis & Representation

  • Calculating Mean, Median, Mode, and Range
  • Understanding Frequency Tables
  • Creating Charts

Chapter 1: Intro to Algebra

  • Introduction
  • Definition of Terms in Algebra

Chapter 2: Add & Subtraction

  • Addition and Subtraction in Algebra
    Adding and Subtracting termsAdding and Subtracting terms with ExponentsAdding and Subtracting with Multiple Like Terms

Chapter 3: Parenthesis

  • Parenthesis in Algebra
    Polynomial Expressions and Removing of Parenthesis

Chapter 4: Multiplication

  • Multiplication in Algebra
    Monomial x MonomialMonomial x PolynomialPolynomial x Polynomial

Chapter 5: Exponents

  • Introduction and Laws of Exponents
    Law 1 – Product RuleLaw 2 – Quotient RuleLaw 3 – Power of a PowerRules of Exponents (Zero, Negative, Fractional)
  • Exponents on Negatives, Monomials, and Polynomials

Chapter 6: Division

  • Division in Algebra
    Division of a Monomial by MonomialDivision of a Polynomial by a Monomial
  • Division of Polynomial by Polynomial (Advanced)

Chapter 7: Radicals

  • Introduction to Radicals
  • Revision: Working with Perfect and Non-Perfect Radicals
  • Working with Radicals of Monomials
  • Operations on Radicals
    Addition and SubtractionMultiplication and Division
  • Rationalization of Radical Denominators
    Monomial DenominatorsBinomial Denominators

Chapter 8: Factors & Factorization

  • Factors and Factorization
    Factoring Using Greatest Common Factor (GCF)
  • Factoring by Grouping
  • Factoring Quadratics
  • Factoring the Difference of Two Squares
  • Perfect Square Trinomials

Chapter 9: Equations

  • Introduction to Equations
  • One-Step Equations
  • Two-Step Equations
  • Equations with Fractions
  • Equation with More than One Fraction
  • Multi-Step Equations
  • Solving Equations where Variables are Represented by Other Variables
  • Change of Subject or Transpose of Formula

Chapter 10: Variation

  • Introduction to Variation
  • Direct Variation
    Finding and Solving EquationDetermining if a Table or Graph represents Direct Variation
  • Inverse Variation
    Finding and Solving EquationDetermining if a Table or Graph represents Inverse Variation
  • Joint Variation and Combined Variation

Chapter 11: Ratio, Proportion & %

  • Ratio, Proportion, and Rates
  • Percentages
  • Percent Increase or Decrease
  • Markup, Discount, and Tax
  • Simple and Compound Interest

Chapter 12: Unit Conversions

  • Unit Conversion
    Single Unit ConversionMultiple Unit Conversion

Chapter 13: Simultaneous Equations

  • Solving by Elimination/Addition
    Coefficient of one Variable is the sameCoefficient of one Variable is a multiple of the otherCoefficient of Variables are not related
  • Solving by Substitution

Chapter 14: Quadratic Equations

  • Solving Quadratic Equations by Factoring
  • Solving Quadratic Equations with the Quadratic Formula

Chapter 15: Inequalities

  • Solving Inequalities
    Multiplying/dividing by negativeSolving Compound Inequalities
  • Graphing of Inequalities
    Form (variable, sign, number)Form (number, sign, variable)Writing Inequality from a Number line GraphCompound Inequality from Number line

Chapter 16: Absolute Values

  • Solving Absolute Value Equations

Chapter 17: Intro to Coord. Geometry

  • Graphing of Points
  • Graphing Lines with Points
  • X-intercept and Y-intercept

Chapter 18: Linear Equations & Graphs

  • Introduction to Slopes
  • Finding the Slope from a Graph
  • Slope-Intercept Form & Graphing
  • Point-Slope Form
  • Standard Form
  • Parallel and Perpendicular Lines

Chapter 19: Graphing Systems

  • Solving Simultaneous Equations by Graphing

Chapter 20: Functions & Relations

  • Intro to Functions and Relations
    Function NotationsFinding Domain/Range (Graph & No Graph)Vertical Line Test
  • Composite Functions
    Operations & Inverse Functions
  • Linear Functions and Graphs
  • Linear Inequalities and Graphs
  • Quadratic, Absolute Value & Piecewise Functions

Chapter 21: Probability

  • Intro to Probability
  • Complementary Events
  • Compound Events

Chapter 22: Representing Data

  • Frequency Table
  • Bar Graphs & Line Graphs
  • Pie Chart
  • Box and Whiskers

Chapter 23: Word Problems

  • Introduction to Word Problems
  • Two-Step Equations Word Problems
  • Proportion Word Problems
  • Distance Rate Time Word Problems
  • Mean, Median, Mode Word Problems
  • Permutations & Combinations
    Counting PrinciplesPermutation – Using Counting PrinciplesPermutation – Using FormulaCombinationCombination (handshake question)
  • Age Word Problems
  • Mixture Word Problems
  • Work Word Problems

Unit 1: Foundations of Algebra

  • Operations in Algebra
  • Solving Linear Equations
  • Solving Linear Inequalities
  • Absolute Value Equations

Unit 2: Functions and Relations

  • Intro to Functions and Relations
  • Example: Functions and Relations
  • Composite Functions
  • Inverse Functions
  • Linear Functions and Graphs
  • Linear Inequalities and Graphs

Unit 3: Systems of Eq & Inequalities

  • Solving Linear Systems Algebraically (Substitution)
  • Solving Linear Systems Algebraically (Elimination)
  • Solving Linear Systems by Graphing
  • Graphing and Solving Systems of Inequalities
  • Linear Programming
  • Systems of Nonlinear Equations

Unit 4: Matrices and Determinants

  • Introduction to Matrices
  • Operations with Matrices
  • Determinants
  • Cramer's Rule
  • Identity and Inverse Matrices

Unit 5: Quadratic Functions

  • Factoring and Solving Quadratic Equations
  • Graphing Quadratic Functions
  • The Quadratic Formula and the Discriminant
  • Graphing Quadratic Inequalities

Unit 6: Abs. Value & Piecewise

  • Absolute Value Functions
  • Piecewise Functions

Unit 7: Polynomials

  • Polynomial Operations
  • Polynomial Division
  • Theorems About Roots
  • Expansion of Binomials
  • Graphing Polynomial Functions

Unit 8: Rational Functions

  • Introduction to Rational Functions
  • Graphing Rational Functions

Unit 9: Trigonometry

  • Trigonometric Ratios – The Core Ratios
  • Trigonometric Ratios Practice
  • Reciprocal Functions
  • Radians and Degrees
  • Common Angles in Trigonometry
  • The Unit Circle
  • Graphing Trigonometric Functions
  • Transformations
  • Basic Trigonometric Identities
  • Real-World Applications of Trigonometry

Unit 10: Exp. & Log. Functions

  • Exponential Functions and Their Graphs
  • Logarithmic Functions
  • Converting Between Logarithmic and Exponential Forms
  • Graphs of Logarithmic Functions
  • Solving Exponential and Logarithmic Equations

Unit 11: Sequences and Series

  • Introduction to Sequences and Series
  • Arithmetic (Linear) Sequences
  • Geometric (Exponential) Sequences
  • Infinite Geometric Series

Unit 12: Conic Sections

  • Introduction to Conic Sections
  • Circles
  • Ellipses
  • Parabolas
  • Hyperbolas

Unit 13: Vectors & Parametric Eq.

  • Introduction to Vectors
  • Operations with Vectors
  • Applications of Vectors
  • Parametric Equations and Graphs