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Algebra 1 for High School Math

Master algebra through short instructional videos and practice questions

Created byGary Thomson

Last updated 7/2020

English

What you'll learn

Master a range of algebra techniques
Use algebra to solve a variety of Math problems
Get ready to take more advanced Math courses such as Algebra 2 and Pre-Calculus
Get ready to use algebra in other subjects - science, economics, geography and more

Course content

11 sections • 60 lectures • 4h 54m total length

Number Types5:34
After this class students will be able to describe the various number types and gives examples of each.
Sets2:10
After this class students will be able to describe what a Mathematical set is and use set notation.
Venn diagrams3:57
After this class students will be able to use Venn diagrams to represent sets and to interpret the information about sets contained in a Venn diagram.
Working with Infinity2:30
After this class students will be able to gives examples of different orders of magnitude of infinity.
Dividing by Zero1:42
After this class students will be able to describe why it’s impossible to divide by zero.
Square-rooting a Negative Number1:52
After this class students will be able to describe why we can’t take the square root of a real number.

Working with Exponents (Powers)1:54
After this class students will be able to give examples of exponents and explain what they mean.
Exponent (Indices) Rules4:45
After this class students will be able to use the rules of exponents in algebra and calculations.
Negative Powers and Powers of Zero3:37
After this class students will be able to work with negative powers and powers of zero in algebra and in calculations.
Fractional Powers4:49
After this class students will be able to work with fractional powers by converting them to roots (radicals).
Surds (Radicals)2:39
After this class students will be able to describe what a surd is and gives examples of what is, and what is not, a surd.
Adding and Subtracting Surds2:57
After this class students will be able to add and subtract surds in algebra and calculations.
Multiplying and Dividing Surds4:07
After this class students will be able to multiply and divide surds in algebra and calculations.
Rationalising Fractions4:26
After this class students will be able to rationalise a fraction using a standard technique.

Variables2:54
After this class students will be able to describe what an algebraic variable is and give examples of variables in algebraic expressions.
Algebraic Formulae2:50
After this class students will be able to describe what an algebraic formula is and give examples of made-up and meaningful formulae.
Using Algebraic Formulae4:32
After this class students will be able to use formulae by substituting values into them.
Changing the Subject of a Formula8:38
After this class students will be able to rearrange formulas to any variable.
Algebraic Expressions6:57
After this class students will be able to give describe the various elements that make up algebraic expressions and give examples.
Simplifying Algebraic Expressions4:50
After this class students will be able to simplify algebraic expressions by grouping and combining like terms.
Working with Parentheses (Brackets)6:22
After this class students will be able to expand brackets and simplify the remaining expression.
Factorising Using a Common Factor7:51
After this class students will be able to factorise algebraic expressions into one bracket using a common factor.

Solving Linear Equations7:57
After this class students will be able to use a standard technique to solve one-step linear equations.
Solving Equations with Parentheses (Brackets)5:59
After this class students will be able to solve equations with parentheses (brackets) in them.
Solving Inequations7:14
After this class students will be able to solve inequations by separation of variables.
Inequations - Multiplying or Dividing by a Negative5:50
After this class students will be able to solve inequations which involve multiplying or dividing by a negative.

Introduction to Systems of Equations4:23
After this class students will be able to describe what a system of equations is and explain what the solution to a system of equations means.
Solving Systems of Equations8:42
After this class students will be able to use the method of elimination of a variable to solve simultaneous equations.
Solving More Complex Systems of Equations5:38
After this class students will be able to solve simultaneous equations where the variables don’t match for elimination of a variable.

Introduction to Sequences6:15
After this class students will be able to describe what a sequence is and give examples of sequences.
Sequences Rules5:33
After this class students will be able to describe what a sequence is and give examples of sequences.
Convergent and Divergent Sequences5:11
After this class students will be able to give examples of a convergent and divergent sequence, and describe how that relates to the limit of a sequence.
The Limit of a Sequence4:49
After this class students will be able to describe what the limit of a sequence is and give examples of sequences with / without limits.
Arithmetic Sequences (Progressions)4:11
After this class students will be able to describe what an arithmetic sequence is and give examples of such. Students will also be able to find the Nth term of such a sequence.
Geometric Sequences (Progressions)4:41
After this class students will be able to describe what a geometric sequence is and give examples of such. Students will also be able to find the Nth term of such a sequence.

Cartesian Coordinate System4:26
After this class students will be able to describe what the Cartesian co-ordinate system is and plot ordered pairs of co-ordinates.
Straight Lines in the X-Y Plane4:15
After this class students will be able to describe the key features of the graph of a straight line and give examples of such.
The Gradient (Slope) of a Straight Line Graph5:01
After this class students will be able to find the gradient of a straight-line graph from two points.
The Equation of a Straight Line Graph5:32
After this class students will be able to describe the format and features of the equation of a straight line and write the equation given the gradient and y-intercept.
Finding the X-intercept and Y-intercept of a Straight-Line Graph6:31
After this class students will be able to find the x and y intercepts of a straight-line graph algebraically.
Horizontal and Vertical Lines3:29
After this class students will be able to state the gradient of vertical and horizontal lines and describe why they have those gradients.
Sketching Straight-Line Graphs5:58
After this class students will be able to sketch a straight line from given information.
Writing the Equation of a Straight Line from its Graph5:10
After this class students will be able to write the equation of a straight line given a sketch of its graph.

Introduction to Functions4:44
After this class students will be able to describe what a Mathematical function is and give examples of functions.
Types of Function5:54
After this class students will be able to write the formula for various types of function and recognize different types of function from their formulas.
Graphs of Functions6:44
After this class students will be able to sketch the graph of a function from its formula.
Maximum and Minimum Values5:28
After this class students will be able to describe what the maximum and minimum values of a function are, and demonstrate how that relates to the graph of the function.
Domain and Range of a Function5:25
After this class students will be able to describe what the domain and the range of a function is and give examples of restrictions on the domain of a function.
Average Rate of Change of a Function7:43
After this class students will be able to find the average rate of change of a function between two points.

Introduction to Polynomials4:28
After this class students will be able to state what a general polynomial is and give examples of polynomial expressions.
Adding and Subtracting Polynomials6:15
After this class students will be able to add and subtract polynomial expressions.
Multiplying Polynomials by Scalars3:29
After this class students will be able to multiply a polynomial by a scalar.
Multiplying a Monomial to a Polynomial5:21
After this class students will be able to multiply a monomial expression to a polynomial expression.
Multiplying a Binomial to a Polynomial7:12
After this class students will be able to multiply a binomial expression to a polynomial expression.

Pythagoras' Theorem4:20
After this class students will be able to describe what Pythagoras Theorem is and how it can be used.
Using Pythagoras' Theorem6:28
After this class students will be able to use Pythagoras’s Theorem to find missing sides of a right-angled triangle.
The Converse of Pythagoras' Theorem4:49
After this class students will be able to use the converse of Pythagoras’s Theorem to determine whether or not a triangle is right-angled.
Trigonometric Ratios5:40
After this class students will be able to use the trigonometric ratios to find missing angles in right-angled triangles.

Requirements

You should have elementary knowledge of numeracy and geometry
You should be keen to complete the practice questions and check your solutions

Description

Algebra is the language of Math. In the same way that writing an essay requires good grammar, punctuation and spelling, solving Math problems requires good algebra. But until you develop those key algebra skills you can feel frustrated and anxious. This course helps you build and practice algebra skills so that you can 1) Confidently answer a wide range of Math problems 2) Go on to study more advanced Math courses.

Master Key Algebra Skills to Confidently Answer a Range of Math Problems

Learn and practice key algebra techniques

Solve a wide range of algebra problems

Use algebra confidently in all Math courses

Take Math tests with confidence

Prepare for future Math courses

Understanding and Practice for Algebra success. Practice it, Ace it!

Algebra success requires understanding and a little practice. Take this course and you’ll know why techniques work and how to use them. Each class features a short instructional video and written materials which you can download for future reference. Practice questions and solutions allow you to master the techniques at your own pace and have been carefully designed to build up your knowledge and confidence!

This course is comprehensive. The topics you’ll master are:

Number Fundamentals

Exponents and Radicals

Algebraic Expressions

Equations and Inequalities

Systems of Equations

Sequences

Graphs

Functions

Quadratic Functions

Classes are based on my experience of working with many anxious algebra students. I know why these ideas can be difficult to grasp, but they've become algebra masters and you can too!

Why this Course?

Take this course and you’ll build algebra skills quickly. Short instructional videos and concise reference materials are easy to follow. Practice questions reinforce learning and prepare you to ace your next test!

What to Expect on this Course

The course is laid out in an easy to use structure with a section for each topic and individual classes within that section. Topics are ordered to maximise your learning and build confidence fast!

Each lesson delivers one key idea or technique. We start with the theory and move onto examples to show you how to apply the technique and answer common question types. You'll reinforce learning through a range of practice questions with solutions.

Take this course and you’ll walk away confident in your algebra skills and might actually look forward to taking your next Math test!

Who this course is for:

This course is great for students who are anxious about algebra
This course is for students taking Algebra 1 in school and looking for additional support
This course is for anyone who needs to have good fundamental algebra skills
This course is perfect for students returning to education who have not used algebra in some time
This course is a ideal for homeschooling parents looking for support materials

Algebra 1 for High School Math

What you'll learn

Explore related topics

Course content

Number Fundamentals6 lectures • 18min

Exponents and Radicals8 lectures • 29min

Algebraic Expressions8 lectures • 45min

Equations and Inequations4 lectures • 27min

Systems of Equations3 lectures • 19min

Sequences6 lectures • 31min

Graphs8 lectures • 40min

Functions6 lectures • 36min

Basic Polynomials5 lectures • 27min

Trigonometry4 lectures • 21min

Requirements

Description

Who this course is for: