# Tertiary Catalogue

## Mathematics

### Trigonometry

BBC Teach: Real Life Maths

A hiker trying to work out the height and distance he's walked uses trigonometry.

### Probability

BBC Teach: Real Life Maths

Predicting the weather and choosing a chocolate are used to explain probability.

### Pythagoras' Theorem

BBC Teach: Real Life Maths

Cleaning a window and installing a TV are used to explain the theory of Pythagoras.

### Percentages

BBC Teach: Real Life Maths

Clothes shopping and video statistics are used to explain percentages.

### Ratio and Proportion

BBC Teach: Real Life Maths

A cake company demonstrates how ratios and proportions are used to complete an order.

### Sequences

BBC Teach: Real Life Maths

The purchasing of cupcakes is used to explain linear and quadratic sequences.

### Geometry

BBC Teach: Real Life Maths

A clothes designer trying to make an outfit uses geometry including finding the area, perimeter and sector of a circle and the area of a trapezium.

### Fractions

BBC Teach: Real Life Maths

A group of friends sharing a meal is used to explain operations with fractions including addition and subtraction, multiplication and division and the simplifying of terms.

### Finance

BBC Teach: Real Life Maths

A man buying a car uses financial planning and investment to work out how much he'll pay.

### Algebra

BBC Teach: Real Life Maths

A mobile phone deal and a trip to the cinema are used to explain algebra.

Numbers and Algebra

Our presenter is interested in running her own café and decides to see what profit can be made from selling sandwiches. She works through the individual costs of sandwich ingredients to compare against café sandwich prices, then calculates her...Show More

### Bivariate Data and Pool Use

This clip investigates how the number of people at the local pool changes over the course of a day. The data is displayed in graphs showing pool patron numbers during each 2 hour time period. Follow along as lines and curves of best fit are drawn...Show More

### Evaluating Statistical Claims

This clip investigates statistical data and data displays used in the advertising of a new gym. Follow along to find the inconsistencies in the statistics, graphs and pie charts, and discover more about how the media can sometimes manipulate...Show More

### Histograms and Boxplots of Gym Membership

In this clip, histograms and boxplots are used to display the results of a study into the number of hours gym members use the gym each week. This clip introduces important terms and concepts including range and median values, upper and lower...Show More

### Introducing Trigonometric Ratios

Trigonometric ratios have many practical uses in the building industry, engineering, astronomy and geography. This clip shows how to calculate sine, cosine and tangent for given angles in right-angled triangles. Follow along as the hypotenuse,...Show More

### Investigating Population Survey Data

In this clip, multiple surveys investigating the number of times Australians visit the beach each week are conducted and analysed. Follow along as the means and medians are calculated for each survey. How survey data was obtained and the impact...Show More

### Parallel and Perpendicular Lines

This clip demonstrates how to solve problems involving parallel and perpendicular lines. Methods for finding the gradient (slope) and equations of parallel and perpendicular lines are applied to different situations including plotting data...Show More

### Relative Frequency of Events

This clip explores the probability of seeing Australian animals on a wildlife tour and uses relative frequency to describe the chances of seeing particular animals. Collected data is displayed in two-way tables and probabilities of ‘and’,...Show More

### Basic Index Laws: Games, Set, Match

Numbers and Algebra

This video demonstrates how to use index notation to establish index laws with positive integral indices and the zero index. Using the example of Grand Slam tennis tournaments, our narrator constructs his own school based tennis tournament draw...Show More

Numbers and Algebra

There's a lot of geometry on a basketball court! This video explores the connection between algebraic and graphical representations of relations such as simple quadratics, circles and exponentials through examples of lines on a basketball court,...Show More

Numbers and Algebra

A group of friends are planning a lunch and compare the costs of pre-made lunches versus making it themselves. They investigate their options by comparing total costs and per person costs. Calculations are determined with and without digital...Show More

### Destination Distances on a Cartesian Plane

Numbers and Algebra

When the Smithton River floods five local towns, a plane needs to drop supplies at each. A route needs to be determined that will reach the most affected areas first, while ensuring the plane has enough fuel between stops, and that the pilot...Show More

### Graphing Distance and Time: A Runner's Story

Numbers and Algebra

This video follows a runner graphing his running distance and speed. He explains what happened along the route that affected his speed, translating this information onto a graph and accounting for the varying steepness of gradients between...Show More

### Graphing Simple Parabolas and Circles

Numbers and Algebra

This video begins with a short introduction of everyday applications of circles and parabolas. Next, basic parabolas and circles are graphed using quadratic equations. Ideal for reinforcing concepts.

### Index Notation and Prime Factors

Numbers and Algebra

This video provides a short lesson on index notation and representing whole numbers as products of powers of prime numbers. Examples of raising base numbers to different powers are shown. Prime and composite numbers are explained and factor trees...Show More