Algebra 1 Math Course

Numbers

Squares and Square Roots

Surds

Simplifying Square Roots

nth Roots

Fractional Exponents

Simplify radical terms

Squares and Square Roots in Algebra

Rationalize the Denominator

Arithmetic operations on radical terms

Index Notation - Powers of 10

Laws of Exponents

Scientific Notation Definition

Scientific Notation

Standard Form

Products and quotients in scientific notation

Solving Equations

Real World Examples of Quadratic Equations

Solve algebraic problems

Absolute Value Definition

Absolute Value

Absolute Value in Algebra

Definition of Factorial

Factorial Function !

Evaluate factorials, absolute values, and exponential expressions

Full Precision Calculator

Factorials

Real Numbers

The Evolution of Numbers

Definition of Imaginary Numbers

Imaginary Numbers

Definition of Complex Number

Complex Numbers

Imaginary and complex numbers

Does 0.999... equal 1?

Repeating decimals to fractions.

Geometric Mean

Mean Proportional and the Altitude and Leg Rules

Geometric mean

Harmonic Mean

The harmonic mean

Measurement

Speed Definition

Metric Speed

US Standard Speed

Girl Boy and Dog Puzzle

The Fly and The Trains Puzzle

Making the Average Puzzle

Riding Against the Wind Puzzle

Calculate rates

Metric Numbers

How to Safely Convert From One Unit to Another

Conversion of Length

Conversion of Area

Conversion of Volume

Conversion of Temperature - Celsius to Fahrenheit

Unit Converter

Conversion problems (metric)

Unit of Measurement

Accuracy and Precision

Errors in Measurement

Percentage Error

Error in measurement (metric)

Conversion problems (US)

Error in measurement (US)

Algebra

Solving Inequality Word Questions

Solving Word Questions

Introduction to Algebra

Algebra Introduction: Multiplication

Verbal to algebraic

Dividing by Zero

Algebra Mistakes

Solving Equations

Using Rational Expressions

When an algebraic fraction is undefined.

Fractions in Algebra

Add or subtract fractional expressions.

Multiply and divide algebraic fractions.

Difference of Squares Definition

Special Binomial Products

Factoring in Algebra

The difference of two squares

The Language of Mathematics

Order of Operations - PEMDAS

Order of Operations - BODMAS

[Write verbal expressions that match given mathematical expressions]

Definition of Trinomial

Factoring Quadratics

Factor algebraic expressions completely

Equations and Formulas

Solve literal equations

Rational Expressions

Equations with fractional expressions

Proportions resulting in linear or quadratic equations

Real World Examples of Quadratic Equations

Verbal sentences to equations or inequalities

Introduction to Inequalities

Solving Inequalities

Write algebraic equations or inequalities that represent a situation

Degree

Change of Variables

Solve equations using a change of variable.

[Understand the difference between an equation and a formula.]

Activity: Buffon's Needle

Change the subject of a formula

Standard Form Definition

Standard Form

Zero Product Property

Definition of Standard Form

Scientific Notation

The different meanings of Standard Form

Exponents

Definition of Monomial

Laws of Exponents

Variables with Exponents - How to Multiply and Divide them

Multiplying Polynomials

Using Exponents in Algebra

Use the laws of exponents in algebra

Inequalities

Substitution

Solving Equations

Solving Inequalities

Is it a solution of an equation or inequality?

Solve linear inequalities in one variable

Inequality Grapher

Graphing Linear Inequalities

Solutions to a system of linear inequalities

Intervals

Graph linear inequalities

Coordinates

Cartesian Coordinates

Coordinates in 3D

Linear Equations

Systems of Linear Equations

Puzzle - Pencils and Jars

Systems of linear equations

Balance when Adding and Subtracting

Solving Equations

Linear equations in one variable

Solving Word Questions

Solving Inequalities

Verbal problems leading to linear equations or inequalities

Verbal problems leading to systems of linear equations

Justifying the elimination method.

Quadratic Equations

Factoring Quadratics

Quadratic Equations

Systems of Linear and Quadratic Equations

Solve a system of one linear and one quadratic equation in two variables

Zero Product Property

Solving Equations

Quadratic Equation Solver

The multiplication property of zero

Solving Word Questions

Real World Examples of Quadratic Equations

Verbal problems that involve quadratic equations

Polynomials

Definition of Monomial

Polynomial Definition

Like Terms

Adding and Subtracting Polynomials

Multiplying Polynomials

Polynomials - Long Multiplication

Add, subtract and multiply monomials and polynomials

Definition of Binomial

Dividing Polynomials

Polynomials - Long Division

Divide a polynomial by a monomial or binomial (no remainder)

Rational Expressions

Simplify algebraic fractions

Factoring in Algebra

Special Binomial Products

Special Binomial Products

Sets

Introduction to Sets

Set-Builder Notation

Intervals

Set-builder notation and interval notation

Set Definition

Sets and Venn Diagrams

Complement of a set

Set notation

Closure

Real Number Properties

Definition of Real Numbers

Real Numbers

Definition of Commutative Law

Definition of Associative Law

Definition of Distributive Law

Commutative Associative and Distributive Laws

Definition of Identity

Definition of Additive Identity

Definition of Multiplicative Identity

Definition of Inverse

Definition of Additive Inverse

Reciprocal Definition

Inverse

Introduction to Groups

The properties of real numbers

Number Line

Union or intersection in interval notation

Venn diagrams

Functions

Definition of Function

What is a Function

Definition of Domain of a Function

Range of a Function Definition

Domain Range and Codomain

Is it a function, given ordered pairs or graphs

Linear Equations

Square Function

Graphing Quadratic Equations

Parabola

Explore the Quadratic Equation

Absolute Value in Algebra

Absolute Value Function

Exponential Function Reference

Function Grapher and Calculator

Graph linear, quadratic, absolute value, and exponential functions

Function Transformations

How changing the coefficients of a function affects its graph

Quadratic Equations

Graph of an Equation

Find simple roots of a parabolic function graphically

When a relation is a function

Increasing and Decreasing Functions

Injective Surjective and Bijective

When a function is one-to-one, onto or both

Injective, surjective and bijective functions

Graphs

Slope Definition

Slope of a Straight Line

Gradient Definition

Gradient of a Straight Line

Equation of a Straight Line

Linear Equations

Calculate the Straight Line Graph

Slope or gradient

Equation of a Line from 2 Points

Slope (gradient) given two points on a line

Point-Slope Equation of a Line

Equation of a line from slope (gradient) and coordinates of a point

Equation of a line through 2 points

Finding Parallel and Perpendicular Lines

[Write the equation of a line parallel to the x-axis or the y-axis]

General Form of Equation of a Line

Slope (gradient) of a straight line

Definition of Parallel Lines

Equations of parallel lines

Find if a given point is on a line

Square Function

Graphing Quadratic Equations

Explore the Quadratic Equation

Definition of Parabola

Parabola

Conic Sections

Parabola vertex, axis of symmetry, focus and directrix

The vertex and axis of symmetry of a parabola from its graph

Systems of Linear Equations

Graphing Linear Inequalities

Function Grapher and Calculator

Inequality Grapher

Solve systems of linear equations and inequalities graphically

Systems of Linear and Quadratic Equations

Quadratic Equations

Systems of Linear and Quadratic Equations

Solve systems of linear and quadratic equations graphically.

Definition of Perpendicular Lines

Slope of a perpendicular line

Perpendicular and Parallel

Parallel, perpendicular, or neither?

Line through a point and perpendicular to a given line

Line through a point and parallel to a given line

Midpoint Definition

Midpoint of a Line Segment

Midpoint of a line segment

Pythagoras Theorem

Distance Between 2 Points

Activity: A Walk in the Desert

Distance between two points

Bisect Definition

Bisect

Perpendicular Definition

Find the equation of a perpendicular bisector

Triangles - Equilateral Isosceles and Scalene

Quadrilaterals - Square Rectangle Rhombus Trapezoid Parallelogram

Distance, midpoint, and slope (gradient) formulas applied to triangles and quadrilaterals

Graph of an Equation

Activity: Soup Can

Draw the curve of a simple function

Symmetry in Equations

Function Grapher and Calculator

Symmetry in equations

Ellipse

Area Calculator

Area of ellipse

Different forms of the equation of a straight line

Divide a line segment in a given ratio

Important: you may also need other skills, check with your local education authority to find out their requirements.