UnLock Math | A-G Curiculum

Curriculum

Foundations

Learn More

Pre-Algebra

Learn More

Learn More

Learn More

Learn More

Learn More

Learn More

Audience

Curriculum For Schools

Learn More

Learn More

About

Learn More

Learn More

UnLock Fractions With Alesia Blackwood

Learn More

Learn More

Algebra I A-G

EQUATIONS

Introduction to Equations
Solving Equations – Adding & Subtracting
Solving Equations – Multiplying & Dividing
Two-Step Equations
Multi-Step & Distributive Part I
Multi-Step & Distributive Part II
Equations with Multiple Variables
Solving Percent Equations
More Applications
Rational & Irrational Numbers

LINEAR FUNCTIONS

Introduction to Linear Functions
Graphing Coordinate Point
Relations & Linear Functions Part I
Relations & Linear Functions Part II
Direct Variation
Slope & Rate of Change
Calculating Slope
Slope-Intercept Form
X and Y Intercepts & Standard Form
Calculate Slope Using DyDx & Intercepts
Equation of a Line
Special Lines
Cost vs. Time Functions
Distance vs. Time
Inverse Function

INEQUALITIES & ABSOLUTE VALUE FUNCTIONS

Introduction to Inequalities & Absolute Value Functions
Writing Solution Sets
Graphing 1D
Solving Multi-Step
Compound Inequalities
Solving Compound Inequalities
Inequalities in 2D
Absolute Value
Graphing Absolute Value Functions

EXPONENTIAL FUNCTIONS

Introduction to Exponents
The Product Property
The Quotient Property
Zero & Negative Exponents
Fractional Exponents
Power of a Power Property
Power of a Product Property
Power of a Fraction
Order of Operations with Exponents – Numeric
Simplifying Algebraic Expressions with Exponents
Scientific Notation Part I
Scientific Notation Part II
Scientific Notation Part III
Exponential Growth
Exponential Decay
Graphing Exponential Functions

POLYNOMIALS

Introduction to Polynomials
Adding Polynomials
Adding & Subtracting Polynomials with More Than One Variable
Multiplying Polynomials
Common Factoring
Factoring Polynomials Using the GCF
Factoring Perfect Square Trinomials
Factoring Difference of Squares
Factoring Trinomials
Solving Equations Using Factoring
Graphing the Cubic Function

QUADRATIC FUNCTIONS

Introduction to Quadratic Functions
Graphing Quadratic Functions
Graphing Quadratic Functions – Vertex Form
Solving Equations with Square Roots
Solving by Completing the Square
Converting Quadratic Functions into Vertex Form Using Completing the Square
The Quadratic Formula
Complex Numbers
Complex Solutions
Graphing Quadratic Inequalities
Applications of Quadratics

RATIONAL FUNCTIONS

Introduction to Rational Functions
Simplifying Rational Expressions
Adding & Subtracting Rational Expressions
Multiplying Rational Expressions
Dividing Rational Expressions
Solving Rational Equations
Graph of a Rational Function

RADICAL FUNCTIONS

Introduction to Radical Functions
Prime Factors
Square Roots
Simplifying Radicals – Numerical
Simplifying Radicals – Algebraic
Adding & Subtracting Radicals
Multiplying Radicals
Dividing Radicals
Solving Radical Equations
Graphing Radical Functions
Piecewise Functions
Step Functions

TRANSFORMATIONS

Introduction to Transformations
Domain of Parent Functions
Range of Parent Functions
Translations
Reflections
Vertical Stretches & Compressions
Horizontal Stretches & Compressions
Summary on Transformations
Multiple Transformations

SYSTEMS OF EQUATIONS & INEQUALITIES

Introduction to Systems of Linear Equations & Inequalities
Graphing Systems of Linear Equations
Graphing Inequalities
Graphing Systems of Inequalities
Evaluating Expressions Using Substitution
Solving a System of Equations by Substitution
Solving Systems of Equations by Elimination
Identifying Types of Systems Using Equations
Writing an Equation
Applications of Systems of Equations & Inequalities
Systems of Linear & Quadratic Equations
System of Nonlinear Equations

TRIGONOMETRY

Introduction to Trigonometry
Sine Ratio
Cosine Ratio
Tangent Ratio
Graphing the Sine Function
Graphing the Cosine Function

SEQUENCES

Introduction to Sequences
Sequences in General
Arithmetic Sequences
Geometric Sequences

STATISTICS

Introduction to Statistics
Histograms
Measures of Central Tendencies Part I
Measures of Central Tendencies Part II
Scatter Plots
Box and Whisker Plots
Measures of Dispersion Part I
Measures of Dispersion Part II

Geometry A-G

LOGIC AND PROOFS

Introduction to Logic & Proofs
Conditions & Sets
Conditional Statements
Equivalence Properties
Writing Proofs

DISTANCE AND LENGTHS

Introduction to Geometry
Segments, Rays & Length
Segment Addition Postulate
Overlapping Segments Theorem
Congruent Segments

ANGLES, LINES, AND TRANSVERSALS

Angles & Measure
Angle Additional Postulate
Congruent Angles
Angle Pairs
Lines, Planes & Transversals
Transversals and Angle Pairs
Transversals & Parallel Lines
Perpendicular Lines

TRIANGLES

Introduction to Triangles
Classifying Triangles by Side Length
Classifying Triangles by Angles
The Triangle Sum Theorem
The Exterior Angle Theorem
Ratio & Proportions
Similar Triangles
Using Similar Triangles to Solve Problems
Congruent Triangles Part I
Congruent Triangles Part II
Pythagorean Theorem

POLYGONS

Introduction to Polygons
Classification of Polygons
Quadrilaterals – Rectangles
Quadrilaterals – Parallelograms
Quadrilaterals – Trapezoids
Interior & Exterior Angles
Similar Polygons

CIRCLES

Introduction to Circles
Properties of Tangents I
Property of Tangents II
Property of Tangents III
Arcs & Central Angles
Arc Additional Postulate

PERIMETER

Introduction to Perimeter
Perimeter of Triangles
Perimeter of Quadrilaterals
Perimeter of Polygons
Circumference of a Circle
Perimeter of Irregular Shapes

AREA

Introduction to Area
Area of Squares & Rectangles
Area of Triangles
Area of Parallelograms
Area of Trapezoids
Area of a Circle
Area of a Sector
Area of Regular Polygons
Area of Irregular Polygons

GEOMETRY IN THE COORDINATE PLANE

Introduction to Geometry in the Coordinate Plane
Distance on the Coordinate Plane
Midpoint Formula
Length of Polygons in the Coordinate Plane
Perimeter in the Coordinate Plane
Area in the Coordinate Plane
Equation of a Circle
Calculating Slopes with Rise Over Run
Calculating Slope Using Dy/Dx
Slope Intercept Form of a Line
Parallel & Perpendicular Lines
Quadrilaterals
Parabolas in the Coordinate Plane

TRIANGLES PART II

Triangles and Altitudes
Triangles & Medians
Triangles & Perpendicular Bisectors
Triangles & Angles Bisectors
Solving Systems of Equations by Substitution
Solving Systems of Equations by Elimination
Triangles & the Orthocentre
Triangles & the Centroid
Triangles & the Circumcentre
Incentre

TRIGONOMETRY

Primary Trigonometry Ratios
Finding an Unknown Angle
Special Triangles
Law of Sines
Law of Cosines
Trigonometry & Area

CIRCLES PART II

Arcs & Chords Part I
Arcs & Chords Part II
Arcs & Chords Part III
Arcs & Chords Part IV
Inscribed Angles
Tangents, Secants and Angles Part I
Tangents, Secants and Angles Part II
Tangents, Secants and Angles Part III
Radian Measure

TRANSFORMATIONS

Introduction to Transformations
Translations
Reflections
Rotations
Dilations
Multiple Transformations & Applications

3D GEOMETRY & VOLUME

Introduction to 3D Geometry
Volume of Rectangular Prisms
Volume of Other Prisms
Volume of Pyramids
Volume of Cylinders
Volume of Cones
Volume of Spheres
Density

3D GEOMETRY & SURFACE AREA

Introduction to Surface Area
Surface Area of a Prism
Surface Area of Pyramids
Surface Area of Cylinders
Surface Area of Cones
Surface Area of Spheres

PROBABILITY

Introduction to Probability
Simple Probability
Fundamental Counting Principle
Independent Events
Dependent Events
Compound Probability
Permutations
Combinations
Experimental & Theoretical Probability
Set Theory & Venn Diagrams
Set Theory – Intersection and Union
Set Theory – Disjoint & Complement
Probability Applications

Algebra II A-G

EXPONENTS

Introduction to Exponents
The Product Property
The Quotient Property
Zero and Negative Exponents
Fractional Exponents
Power of a Power Property
Power of a Product Property
Power of a Fraction
Simplifying Algebraic Expressions with Exponents

SYSTEMS OF LINEAR EQUATIONS & INEQUALITIES

Introduction to Systems of Linear Equations & Inequalities
Solving a System of Equations by Substitution
Solving a System of Equations by Elimination
Graphing Systems of Linear Equations
Graphing Systems of Inequalities
Linear Programming

COMPLEX NUMBERS

Introduction to Imaginary & Complex Numbers
Adding & Subtracting Complex Numbers
Multiplying Complex Numbers
Complex Conjugates
Dividing Complex Numbers
Absolute Value & Complex Numbers

FUNCTIONS

Introduction to Functions
Function Notation & Evaluation
Domain of a Function & Interval Notation
Range of a Function & Interval Notation
Adding & Subtracting Functions
Multiplying & Dividing Functions
Composition of Functions
Inverse Functions
Composition & Inverse
Piecewise Functions
Step Functions

POLYNOMIAL FUNCTIONS

Introduction to Polynomials
Adding & Subtracting Polynomials
Multiplying Polynomials
Dividing Polynomials Using Long Division
Dividing Polynomials Using Synthetic Division
Remainder Theorem
Factor Theorem
Factor Using GCF & Grouping
Factoring Using Difference of Squares
Factoring Perfect Square Trinomials
Factoring Trinomials with a Positive or Negative Constant
Factoring Using the Sum or Difference of Cubes
Solving Equations Using Factoring & the Zero Product Property

QUADRATIC FUNCTIONS

Introduction to Quadratic Functions
Graphing Quadratic Functions in Vertex Form
Solving Quadratic Equations with Square
Roots
Solving Quadratics by Completing the Square
The Quadratic Formula
Converting Quadratic Functions to Vertex Form
Graphing Quadratic Inequalities
Applications of Quadratics

POLYNOMIAL FUNCTIONS - SOLVING & GRAPHING

Finding a Polynomial Given the Roots
Location Principle & Multiplicity of Zeros
Rational Root Theorem
The Complex Conjugate Root Theorem
Fundamental Theorem of Algebra & Descartes Rule of Signs
Graphing Polynomials

EXPONENTIAL & LOGARITHMIC FUNCTIONS

Introduction to Exponential & Logarithmic Properties
Exponential Growth
Exponential Decay
Logarithmic Functions
Evaluating Logarithmic Functions
Product Property of Logarithms
Quotient Property of Logarithms
Power Property of Logarithms
Exponential-Logarithmic Inverse Properties
Application of Logarithms
The Natural Exponential Function
The Natural Logarithm
Solving Logarithmic Equations

RATIONAL FUNCTIONS

Introduction to Rational Functions
Direct Variation
Inverse Variation
Joint & Combined Variation
Simplifying Rational Expressions
Adding & Subtracting Rational Expressions
Multiplying Rational Expressions
Dividing Rational Expressions
Complex Fractions
Solving Rational Equations
Graph of a Rational Function Part I
Graph of a Rational Function Part II

RADICAL FUNCTIONS

Introduction to Radical Functions
Simplifying Radicals – Numerical
Simplifying Radicals – Algebraic
Adding and Subtracting Radicals
Multiplying Radicals
Dividing Radicals
Solving Radical Equations
Graphing Radical Functions

CONIC SECTIONS

Introduction to Conic Sections
Parabolas Part I
Parabolas Part II
Circles Part I
Circles Part II
Ellipses Part I
Ellipses Part II
Hyperbolas Part I
Hyperbolas Part II
Solving Nonlinear Systems

TRIGONOMETRY

Angles in Standard Position
Radian Measure
Special Triangles & Exact Values
Reciprocal Ratios
Sine Law
Cosine Law
Trigonometric Identities
Graphing Sine & Cosine Functions
Graphing Tangent & Cotangent Functions
Graphing Secant & Cosecant Functions
Applications of Trigonometry Functions
Modelling Trigonometry Functions

SERIES & PATTERNS

Introduction to Series & Patterns
Arithmetic Series
Finite Geometric Series
Infinite Geometric Series
Pascal’s Triangle
Binomial Theorem

STATISTICS & PROBABILITY

Introduction to Statistics
Independent & Dependent Events
Measures of Central Tendency
Range & Mean Deviation
Standard Deviation & Variance
Sampling
Normal Distribution
Margin of Error

Pre-Calculus A-G

REVIEW OF FUNCTIONS AND QUADRATICS

Introduction to Functions
Domain of a Function and Interval Notation
Range of a Function and Interval Notation
Composition of Functions
Inverse of Functions
Introduction to Quadratic Functions
Graphing Quadratic Functions in Vertex Form
Solving Quadratic Equations with Square Roots
Solving Quadratics by Completing the Square
Converting to Vertex Form by Completing the Square
Graphing Quadratic Inequalities

POLYNOMIAL FUNCTIONS

2.1 Introduction to Polynomials
2.2 Finding a Polynomial Given the Roots
2.3 Dividing Polynomials Using Long Division
2.4 Dividing Polynomials Using Synthetic Division
2.5 Remainder Theorem/Factor Theorem
2.6 Location principle & Multiplicity of Zeros
2.7 Rational Root Theorem
2.8 Complex Conjugate Root Theorem
2.9 Fundamental Theorem of Algebra & Descartes Rule of signs
2.10 Graphing Polynomials

RATIONAL FUNCTIONS

Introduction to Rational Functions
Graphing Rational Functions
Graphing Rational Functions Part II
Slant Asymptotes
Parabolic Asymptotes
Multiplying and Dividing Rational Expressions
Solving Rational Equations

EXPONENTIAL AND LOGARITHMIC FUNCTIONS

Introduction to Exponential & Logarithmic Functions
Graphing Exponential Functions
Logarithmic Functions and Change of Base Formula
Properties of Logarithms
Exponential/Logarithmic Inverse Property
Natural Exponentials & Logarithms
Solving Exponential Equations
Solving Logarithmic Equations
Fitting Log Functions to Data

VECTORS

Introduction to Vectors
Vectors in Two Dimensions
Adding & Subtracting Vectors
Multiplying Vectors by a Scalar
Vector Components
Vector Notation
Operations in Vector Noation
Dot Product

MATRICES

Introduction to Matrices
Basic Matrix Operations
Matrix Multiplication
Determinant of 2×2 Matrices
Determinant of 3×3 Matrices
Inverse of Matrices
Elementary Row Operations & Augmented Matrices
Using Matrices to Solve 2×2 Systems
Using Matrices to Solve 3×3 Systems

COMPLEX NUMBERS

Introduction to Complex
Adding and Subtracting Complex Numbers
Multiplying Complex Numbers
Complex Conjugate & Dividing
The Complex Plane
Modulus of Complex Numbers
Distance in the Complex Plane
Midpoint in the Complex Plane

TRIGONOMETRIC FUNCTIONS

Introduction to Trigonometric Functions
Radian Measure
Standard Position & Reference Angles
Special Triangles and Exact Ratios
Graphing the Sine and Cosine Functions
Graphing the Tangent and Cotangent Functions
Graphing the Secant and Cosecant Functions
Applications of Trigonometric Functions
Modelling Trigonometric Functions
Inverse Trigonometric Functions

ANALYTIC TRIGONOMETRY

Introduction to Analytic Trigonometry
Cofunction, Periodicity and Negative Angle Identities
Addition and Subtraction Identities
Double and Half-Angle Identities
Product to Sum Identities
Solving Trigonometric Equations Algebraically
Solving Trigonometric Equations with Identities

CONIC SECTIONS

Introduction to Conic Sections
Parabolas
Parabolas Part II
Circles
Circles Part II
Ellipses
Ellipses Part II
Hyperbolas
Hyperbolas Part II
Solving Non Linear Systems
Parametric Equations
Parametric Equations of Conic Sections

POLAR COORDINATES

Introduction to Polar Coordinates
Converting Rectangular to Polar Coordinates
Converting Polar to Rectangular Coordinates
Polar Equations and Graphs
Eccentricity of Conic Sections
Polar Equations of Conic Sections
Complex Numbers in Polar Notation
Multiplication and Division with Polar Notation
DeMoivre’s Theorem

SEQUENCES AND SERIES

Introduction to Sequences and Series
Sequences & Series
Arithmetic Sequences
Arithmetic Series
Geometric Sequences
Finite Geometric Series
Infinite Geometric Series
Permutations and Combinations
Pascal’s Triangle
Binomial Theorem

INTRODUCTION TO CALCULUS

Introduction to Calculus
Limits and Continuity
Limits Involving Infinity
Slope of a Tangent Line
The Power Rule
The Product and Quotient Rules
The Chain Rule
Applications of Derivatives
Antiderivatives
Integrals and the Area Under a Curve

Connect With Us

Quick Links

Sitemap
Referal Program
Privacy Policy
Testimonials
Terms Of Service

Join our Facebook group

Yes, Send Me Awesome Stuff

Like & Follow from you. New free to use projects from us.