Secondary Catalogue

Mathematics

Contains 228 Videos

Basic Geometrical Ideas

Basic Geometrical Ideas

This programme covers some of the core concepts of geometry. Students will learn about the features of parallel and intersecting lines, circles, triangles, and quadrilaterals.
Drawing Prisms

Drawing Prisms

This clip explores prisms and uses computer graphics to show the aerial, front and side views of many different prisms. Throughout the clip, students are prompted to make their own drawings of different views of 3-D prisms and to sketch the 3-D...Show More
Survey Data: Collecting and Displaying

Survey Data: Collecting and Displaying

In this clip, the results of student surveys are collated into tables and means are calculated. Students are asked to rate a music genre from 1 to 5, and in a separate survey, are asked to identify their favourite genre from a given list. This...Show More
Scatter Plots and Gym Training

Scatter Plots and Gym Training

In this clip, a series of scatterplots are used to show how regular gym attendance has an effect on variables such as resting heart rate, feelings of well-being and TV viewing habits. The data is collected through surveys of gym members, and...Show More
Relative Frequency of Events

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
Parallel and Perpendicular Lines

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
Mean, Median and Outliers

Mean, Median and Outliers

This clip explores the effect of outliers on measures of central tendency - mean and median. The lengths of time that swimmers stay underwater is collected, and mean and median values are calculated. Identify the outlier and discover the impact...Show More
Investigating Population Survey Data

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
Introducing Trigonometric Ratios

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
Histograms and Boxplots of Gym Membership

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
Evaluating Statistical Claims

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
Bivariate Data and Pool Use

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
Basic Index Laws: Games, Set, Match

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
Basketballs, Parabolas and Circles

Basketballs, Parabolas and Circles

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
Calculating Profit: Earning Your Bread and Butter

Calculating Profit: Earning Your Bread and Butter

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
Best Buys: Buying or Making Sandwiches

Best Buys: Buying or Making Sandwiches

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

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

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
Index Notation and Prime Factors

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
Line Graphs: Gradients and Midpoints

Line Graphs: Gradients and Midpoints

Numbers and Algebra

This video follows a sprinter graphing her distance and speed for two separate sprints. The first sprint is at a constant speed, resulting in a straight line graph. In the second sprint, her graph reflects three distinct intervals as her speed...Show More
Perfect Squares and Square Roots

Perfect Squares and Square Roots

Numbers and Algebra

This video investigates and uses square roots of perfect square numbers to create and solve equations. Viewers will learn how to determine the square roots of perfect squares, and determine if a number is a perfect square using technology and...Show More
Simultaneous Equations on the Golf Course

Simultaneous Equations on the Golf Course

Numbers and Algebra

This video demonstrates how to solve simultaneous equations, using the example of golfers determining par and handicaps. Substitution, elimination and graphing software methods are all used to solve equations. Ideal for applying mathematical...Show More
Solving Quadratic Equations in Cricket and Rowing

Solving Quadratic Equations in Cricket and Rowing

Numbers and Algebra

Our presenter applies algebraic knowledge of quadratic equations to two sports events. First, he determines the height of a batted cricket ball and the amount of time it is in the air. Next, he determines the speed at which a rower travels...Show More
Graphing Simple Parabolas and Circles

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.
Small and Large Time Scales

Small and Large Time Scales

This clip demonstrates the usefulness of scientific notation (standard form) to express very large and small numbers. Examples worked through include evolutionary time periods, blinking, and the speed of light. Ideal for introducing or...Show More