## Mathematics Skills

Mathematics Skills

### Success in Maths at USQ

#### Success in Maths for Science

Students studying science require a sound knowledge of mathematics.

To assist you if you have had bad experiences at school, not enough exposure to mathematics or the exposure was a number of years ago we have developed a series of videos.

These videos are based on the materials that is assumed in MAT1100.

To view files click on the topic you wish to refresh. A copy of presentation is available for you to download (Print Handout).

### Arithmetic

Calculating with negative numbers (print handout)

This 10 minute video covers how to calculate with negative numbers.

Order of operations (print handout)

This 6 minute video covers the importance of the order of operations with examples

Fractions (print handout)

This 16 minute video covers:

• Equivalent fractions
• Mixed number and improper fractions
• Addition, subtraction, multiplication and division of fractions.

Fractions in other forms - Decimals (print handout)

This 11 minute video covers:

• the link between fractions and decimals
• converting between fractions and decimals
• percentages
• rates.

### Algebra

Algebraic relationships (print handout)

This 9 minute video introduces:

• translating from words to symbols (relationships)
• variables and expressions
• collecting like terms.

Rearranging equations (print handout)

This 12 minute video covers:

•  substituting values into equations
• rearranging equations
• including a range of examples.

Inequalities (print Handout)

This 12 minute video covers graphing inequalities and rearranging inequalities.

Index laws (print handout)

This 17 minute video introduces:

• Power (or index) notation
• Power (or index) rules
• using power (or index) rules to simply expressions.

### Graphing and Geometry

Geometry (print handout)

This 7 minute video covers common shapes and their characteristics.

Pythagoras' Theorem (print handout)

This 4 minute video covers using Pythagoras’ Theorem.

Relationships as graphs (print handout)

This 7 minute video covers the Cartesian co-ordinate system and drawing graphs.

This 7 minute video covers how to:

• find the gradient (or slope) of a straight (linear) line
• drawing a line using a point and the gradient.

The linear equation (print handout)

This 7 minute video covers:

• the linear equation
• finding the gradient and $$y$$-intercept
• the slope-point equation
• equations to special lines (e.g. horizontal and vertical lines).

Exponential graphs (print handout)

This 3 minute video introduces the exponential equation for growth and decay along with the corresponding graphs.

You can also get help Mastering your calculator – free, easy to follow online booklets on a range of scientific calculators.