# Tertiary Catalogue

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- Mathematics

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## Mathematics

### Calculating Profit: Earning Your Bread and Butter

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

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 potential profit (percentage). She quickly learns there's more to her costs than just ingredients. Ideal for applying mathematical concepts to real world situations. Show Less

### 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

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’, ‘or’ events are calculated. This clip introduces and defines important terms like experimental probability, relative frequency, and complement. Ideal for applying mathematical concepts to real world situations. Show Less

### 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

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 relating to time and distance travelled by three joggers. The point-gradient formula is also introduced. Ideal for applying problem solving skills. Show Less

### 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

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 on the results and reliability of the surveys are discussed. Ideal for applying mathematical concepts to real world situations. Show Less

### 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

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, adjacent and opposite sides are identified, and the relationships between side lengths and ratios are explored. Ideal for introducing or reinforcing concepts. Show Less

### 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

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 quartiles, left and right-skewed data, boxplot whiskers, and symmetrical and asymmetrical data displays. Show Less

### 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

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 statistics and displays to support their claims. Show Less

### 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

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 for the data and used to interpret the data. This clip explores parabolas, coefficient of determination, interpolation, and extrapolation. Show Less

### Best Buys: Buying or Making Sandwiches

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

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 technologies. Ideal for applying mathematical concepts to real world situations. Show Less

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

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

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 using index laws with two as the base number. Viewers also learn how to multiply and divide numbers in index form with the same base. Ideal for applying mathematical concepts to real world situations. Show Less

### Basketballs, Parabolas and Circles

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

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, and the trajectory of free throws. Ideal for reinforcing concepts. Show Less

### Destination Distances on a Cartesian Plane

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

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 complies with regulations about consecutive flying hours.
Follow the relief operation as we use a Cartesian plane to determine the distances between each town and plan a successful operation. Strategies used include Pythagoras' Theorem and graphing software. This is an excellent resource for applying mathematical concepts to real world situations. Show Less

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

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

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 different points along his graphed journey. This is an excellent resource for applying mathematical concepts to real world situations. Show Less

### Index Notation and Prime Factors

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

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 are used to express numbers as products of their prime factors, determine HCF (highest common factor) and LCM (lowest common multiple). Step by step graphics; ideal for reinforcing concepts. Show Less

### Line Graphs: Gradients and Midpoints

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

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 differs over the course. Follow along as she determines gradients and midpoints and her average speeds for both sprints as well as her speeds at different intervals. This is an excellent resource for applying mathematical concepts to real world situations. Show Less

### Perfect Squares and Square Roots

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

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 factor trees. Step by step graphics; ideal for reinforcing concepts. Show Less

### Simultaneous Equations on the Golf Course

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

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 concepts to real world situations. Show Less

### Solving Quadratic Equations in Cricket and Rowing

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

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 upstream and downstream. This short video is ideal for applying mathematical concepts to real world situations. Show Less

### Graphing Simple Parabolas and Circles

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.

### Proving Congruent Triangles

While building a barbeque shelter, our narrator's boss puts her geometry skills to the test by asking her to mathematically prove that five triangular roof trusses are congruent triangles. Follow along as she applies SSS, SAS, ASA, AAS proofs to...Show More

While building a barbeque shelter, our narrator's boss puts her geometry skills to the test by asking her to mathematically prove that five triangular roof trusses are congruent triangles. Follow along as she applies SSS, SAS, ASA, AAS proofs to her handiwork. Ideal for applying mathematical concepts to real world situations. Show Less

### Congruent Shapes and Transformations

Our narrator is planning the layout of a new playground; she needs to recognise properties that determine congruence and which transformations create congruent figures. Follow along as she determines whether two figures are congruent after...Show More

Our narrator is planning the layout of a new playground; she needs to recognise properties that determine congruence and which transformations create congruent figures. Follow along as she determines whether two figures are congruent after transformations (translation, reflection, rotation). Ideal for introducing or reinforcing concepts. Show Less

### Calculating Duration across Time Zones

Calculating flight distances within and across time zones is a common need. This clip investigates the arrival and departure times of someone travelling within and across times zones in Australia and Asia, using both 12-hour and 24-hour time....Show More

Calculating flight distances within and across time zones is a common need. This clip investigates the arrival and departure times of someone travelling within and across times zones in Australia and Asia, using both 12-hour and 24-hour time. Ideal for applying mathematical concepts to real world situations. Show Less

### Finding a Resultant Force

The video shows how to find a resultant force due to a combination of different forces.

### Velocity-Time Graphs (t, v)

The video shows how to draw a velocity time graph and how to find the acceleration and displacement from a velocity time graph.

### Normal to a Circle

Coordinate Geometry and Graphs

This video demonstrates how to find the normal to a circle, by first locating it's centre and gradient, then solving for the equation of the normal.