# Tertiary Catalogue

- Content Catalogue
- Tertiary
- Foundation Skills
- Mathematics

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## Mathematics

Contains 62 Videos

### 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

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 prism shape represented by the 2-D base (top) and faces (front and side) provided. Combination prisms are introduced. Show Less

### 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

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 resource explores categorical and numerical data, relative frequency, sample size, variation of means, and column graph interpretation. Show Less

### 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

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 scatterplots are constructed. This clip explores correlation, negative and positive, and lines of best fit. 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

### 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

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 it has on the mean and median values. 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

### 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

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 reinforcing concepts. Show Less

### 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

### Finding the Area of Composite Shapes

Our narrator is helping to build a new playground. Her boss needs her to determine the area of different zones of the playground, some of which are composite shapes. Follow along as she works through the best way to determine the area of each...Show More

Our narrator is helping to build a new playground. Her boss needs her to determine the area of different zones of the playground, some of which are composite shapes. Follow along as she works through the best way to determine the area of each shape, including partitioning. 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

### Congruence and Similarity in Plane Shapes

Our 'tradie' narrator is busy constructing a playground. Follow along as she goes beyond practical demonstrations to mathematically prove that she is creating sunshade shapes that are congruent or similar to the equipment they are covering. By...Show More

Our 'tradie' narrator is busy constructing a playground. Follow along as she goes beyond practical demonstrations to mathematically prove that she is creating sunshade shapes that are congruent or similar to the equipment they are covering. By applying logical reasoning, she is able to work through her proofs step by step. Ideal for applying mathematical concepts to real world situations. 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

### Algebraic Variables and Index Laws

This clip defines the mathematical concepts of constants and variables before going on to apply index laws to variables using positive integer indices and the zero index. Simplifying equations by adding, subtracting, multiplying and dividing...Show More

This clip defines the mathematical concepts of constants and variables before going on to apply index laws to variables using positive integer indices and the zero index. Simplifying equations by adding, subtracting, multiplying and dividing indices are demonstrated. Ideal for introducing or reinforcing concepts. Show Less

### Simplifying Algebraic Products and Quotients

Follow along as our narrator plays a video game that requires him to simplify algebraic products and quotients using index laws. It's a race against the clock as the questions become increasingly difficult and require him to work with negative...Show More

Follow along as our narrator plays a video game that requires him to simplify algebraic products and quotients using index laws. It's a race against the clock as the questions become increasingly difficult and require him to work with negative numbers and indices in order to complete the level. Ideal for reinforcing concepts. Show Less

### Operations with Algebraic Fractions

This clip applies the four operations to simple algebraic fractions with numerical denominators. It begins by using the example of pizza to add and subtract fractions, and determine lowest common denominators. Pronumerals are then incorporated...Show More

This clip applies the four operations to simple algebraic fractions with numerical denominators. It begins by using the example of pizza to add and subtract fractions, and determine lowest common denominators. Pronumerals are then incorporated into examples, which increase in difficulty to multiplying and dividing fractions. Ideal for reinforcing concepts. Show Less

### Irrational Numbers: Pi and Pies

The clip explains how the irrational number Pi (π) is derived and provides an example of its practical application in calculating the area of different sized pie tins. It explores: how Pi is derived by finding the relationship between a circle's...Show More

The clip explains how the irrational number Pi (π) is derived and provides an example of its practical application in calculating the area of different sized pie tins. It explores: how Pi is derived by finding the relationship between a circle's diameter or radius and its circumference; and the relationship between a circle's radius and its area. Ideal for reinforcing concepts. Show Less

### Exponents and Index Laws

Exponents and index laws can make manipulations of numbers simpler. In this clip, two situations are used to apply index laws to numerical expressions with integer indices. In the first situation, the narrator needs to determine how many pallets...Show More

Exponents and index laws can make manipulations of numbers simpler. In this clip, two situations are used to apply index laws to numerical expressions with integer indices. In the first situation, the narrator needs to determine how many pallets of water bottles he and his friends will need for a 16 day yacht trip. The second situation involves calculating the rate at which light sensitive bacteria populations increase or decrease depending on changes to their environment. Ideal for applying mathematical concepts to real world situations. Show Less

### Algebra: The Basics

This program explains the basic concepts of algebra including number patterns, pronumerals, algebraic expressions, order of operations and expanding and simplifying. The natural and city landscapes of Asia are used to bring to life these abstract...Show More

This program explains the basic concepts of algebra including number patterns, pronumerals, algebraic expressions, order of operations and expanding and simplifying. The natural and city landscapes of Asia are used to bring to life these abstract concepts for students who are new to algebra or refining their skills. Show Less

### Metric Units: Length, Mass and Capacity

You can use metric units to measure anything from a grain of sand to the whole wide world! This fun program takes us from the beach to the kitchen to explain the metric units used to measure length, mass and capacity.
Starting at the beach,...Show More

You can use metric units to measure anything from a grain of sand to the whole wide world! This fun program takes us from the beach to the kitchen to explain the metric units used to measure length, mass and capacity.
Starting at the beach, we use sand, shells and the entire beach to demonstrate metres and their counterparts; millimetres, centimetres and kilometres.
Next, we move to the kitchen and learn how to use a centimetre ruler, before weighing a variety of household items in grams and kilograms.
Finally, we must measure capacity using litres, millilitres, and cups to make a date and walnut loaf. Show Less

### Taking a Chance: Key Probability Concepts

This programme is an odds-on favourite to make understanding probability a lot of fun! Set in the wonderful world of cards, coins and dice, this engaging programme introduces the basic concepts of probability, including complementary events,...Show More

This programme is an odds-on favourite to make understanding probability a lot of fun! Set in the wonderful world of cards, coins and dice, this engaging programme introduces the basic concepts of probability, including complementary events, two-way tables, Venn diagrams, tree diagrams, and independent and dependent events.
By joining Sunny (the sometimes sneaky magician) and trying to see when he’s using his tricks to improve the odds, this is a charming way to introduce probability concepts. With a style and tone just right for young learners, there’s a good chance that mathematics will come alive in this programme. Show Less