# High School Math Tutorials

Each of our high school math tutorials has worked examples and problems for you try (with solutions). So if you're having trouble with your math homework or need help with one of our printable math worksheets then this is a good place to start.

### A note about year levels

Each tutorial is given a year level that it is applicable
to. As we're all in different countries the year level corresponds to
the number of years at school. So, for example, a tutorial for Year
11 is for students in their 11th year of school.

Tutorials for earlier or later years may still be suitable for you.

### View High School Math Tutorials...

## Numeracy Tutorials

**Order of Operations**

In a math calculation the order you do the operations (add, subtract, multiply, divide and brackets) is important.

This tutorial is suitable for students in Year 7 to 9.**Directed Numbers**

Directed numbers are signed numbers i.e. numbers with a positive or plus sign (+) in front of them or a negative or minus sign (-) in front of them e.g. +6, -2, +7 etc. All these whole numbers (and 0) grouped together are called integers.

How do you add, subtract, multiply and divide directed numbers? View the tutorial.

This tutorial is suitable for students in Year 9 or 10.

## Fractions Tutorials

**An Introduction to Fractions**

What are fractions? How do you express a diagram as a fraction? What are the parts of a fraction called?

This tutorial is suitable for students in Year 8 or 9.**Equivalent Fractions**

What are equivalent fractions, improper fractions and mixed numbers? How to simplify a fraction.

This tutorial is suitable for students in Year 9.**Fractions, Decimals & Percentages**

How to convert fractions to decimals and percentages.

This tutorial is suitable for students in Year 9.**Ratios**

What are ratios and how to simplify them.

This tutorial is suitable for students in Year 9.

## Algebra Tutorials

**Solving Linear Equations**

Learn how to solve simple algebriac equations like 4x - 5 = 3x + 7

Single variable only

This tutorial is suitable for students in Year 9 or 10**Solving Quadratic Equations**

What if the variable has a power of 2 or is squared?

How to solve simple quadratic equations by square rooting and factorising.

The first part of this tutorial is suitbale for Year 10 students.

The second part of this tutorial is suitable for Year 11 students.**Introduction to Graphing - Cartesian Co-ordinates**

How to plot points on a graph.

This tutorial is suitable for students in Year 9**Drawing Straight Line Graphs using the Tabular Method**

Examples of the general equation ... y = mx + c

This tutorial is suitable for students in Year 9 or 10**Plotting Straight Line Graphs using the Intercept Method**

Using the intercept method to obtain an x-intercept and a y-intercept and then plotting a straight line graph.

This tutorial is suitable for studentsin Year 10.**Drawing a Straight Line Graph using the Gradient Method**

For the graph y = mx + c we can use the gradient (m) and the intercept (c) to plot a straight line graph.

This tutorial is suitable for students in Year 10.**Drawing Quadratic and Cubic Graphs**

An introduction to the quadratic and cubic graphs and using the tabular method to plot them.

This tutorial is suitable for students in Year 11.

## Geometry Tutorials

**Angles & Straight Lines**

An introduction to some basic geometry principles - the sum of angles on a straight line, angles around a point and vertically opposite angles.

This tutorial is suitable for students in Year 9.**Angles & Parallel Lines**

New defintions - corresponding angles, alternate angle and co-interior angles.

This tutorial is suitable for students in Year 9.**Angles & Triangles**

The angles inside and outside triangles have some special rules. Learn about the sum of the angles inside a triangle, exterior angles and special rules for equilateral and isosceles triangles.

This tutorial is suitable for students in Year 9.**Angles & Polygons**

Rules for the interior and exterior angles of polygons. And rules for special polygons like squares and kites.

This tutorial is suitable for students in Year 10.**Angles & Arcs**

More angle rules - this time for angles on an arc (or part of a circle).

This tutorial is suitable for students in Year 11.**Tangents to a Circle**

A

Special angle rules are created with tangents.**tangent**is a straight line touching one point on the circumference of a circle.

This tutorial is suitable for students in Year 11.**Cyclic Quadrilaterals**

Put a quadrilateral inside a circle and you have a cyclic quadrilateral with special rules for interior and exterior angles.

This tutorial is suitable for students in Year 11.

**Pythagoras' Theorem**Named after Greek Mathematician, Pythagoras, this theorem is about the relation amongst the three sides of a right angle triangle.

So if you know the length of two sides of a right angle triangle you can caculate the length of the other side. This has some wonderful practical applications.

This tutorial is suitable for students in Year 10 or 11.**Transformation Geometry 1 - Translation**

What is translation and how to write a translation in vector form.

This tutorial is suitable for students in Year 10.**Transformation Geometry 2 - Rotation**

What is rotation of a shape?

This tutorial is suitable for students in Year 10.

## Trigonometry Tutorials

**Trigometric Ratios**

We can use Pythagoras' Theorem (see above) to calculate the length of an unknown side in a right-angled triangle when we are given information about the lengths of*2 other sides*.

However, if we are given information about an*angle*(other than the 90 degrees) and*one side*and need to calculate the length of another side then we use the**trig ratios**.

This first tutorial takes you through naming the sides of a triangle and an introduction to the trig ratios.

This tutorial is suitable for students in Year 10 or 11.**Calculating sides using the trigometric ratios.**

We can use trig ratios to calulate the length of a side on a triangle if we know the length of one side and the size of one angle.

You will need a scientific calculator for this tutorial

This tutorial is suitable for students in Year 11 or 12.**Calculating angles using the trigometric ratios.**

OK, so probably saw this coming. If you know the length of the two sides of a right-angle triangle then you can caculate the size of the other angles inside the triangle. Nifty huh? We're really getting to know stuff about right-angle triangles.

You will need a scientific calculator for this tutorial

This tutorial is suitable for students in Year 11 or 12.

## Calculus Tutorials

**Introduction to Differentiation**

Definitions, worked examples and exercises with solutions. Your first step to calculus.

This tutorial is suitable for students in Year 12.**Differentiation of Negative Indices & Rational Powers**

You should review the differentiation of positive powers first (above) as negative indices are managed in the same way but you need to take care with the signs.

This tutorial is suitable for students in Year 12.**Applications of Differentiation**

Using derivatives to find the grandient of a tangent and normal of straight line graphs.

This tutorial is suitable for students in Year 12 or 13.**Introduction to Integration**

Sometimes called antidifferentiation, integration is the process of finding the definite or indefinite integral of a function.

This tutorial is suitable for students in Year 12.