Tertiary Catalogue

Mathematics


Expressing Probability

Expressing Probability

Miniclips

Everything that happens around us has a probability, and this can be expressed in several ways. Using entertaining real-world examples such as picking which adorable kitten to adopt from a rescue home, or scoring the glittery green pen in your...Show More
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
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
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
Finding the Area of Composite Shapes

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
Congruence and Similarity in Plane Shapes

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
Algebraic Variables and Index Laws

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
Substituting Values in Formulae

Substituting Values in Formulae

This clip demonstrates the importance of algebra and mathematical formulae in solving everyday problems. Working through a series of real-life examples, our narrator substitutes values into formulas to determine the information he requires....Show More
Simplifying Algebraic Products and Quotients

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
Operations with Algebraic Fractions

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
Irrational Numbers: Pi and Pies

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
Exponents and Index Laws

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
Algebra: The Basics

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
Metric Units: Length, Mass and Capacity

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
Taking a Chance: Key Probability Concepts

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
Statistics: Sampling, Surveying and Data Analysis

Statistics: Sampling, Surveying and Data Analysis

In this dynamic programme, our presenter wants to make a YouTube music video for her best friend's band, but they can't agree on which song to do! The solution: survey the target market - their friends and family - to find out which song they...Show More
Solving Linear Equations

Solving Linear Equations

Reviewing a variety methods for solving equations, including guess, check and improve, the balance method and backtracking, the program takes students through the process of finding a numerical solution to various types of linear equations, from...Show More
Exploring Fractions

Exploring Fractions

Join us on a fruit-slashing foray into the world of fractions. In this action-packed program, we slice and dice fruit into various fractions; adding, subtracting and further dividing plump fruit pieces as we demonstrate the basics of working with...Show More
Maths in the Kitchen: Do You Measure Up?

Maths in the Kitchen: Do You Measure Up?

Is baking basic chemistry? Are ingredients basic biology? And is cooking basic maths? If you can't tell a tsp from a tbsp, you're likely to get a pancake when you wanted a soufflé. Basic maths skills are needed to help you properly prepare a...Show More
Pythagoras' Theorem: An Introduction

Pythagoras' Theorem: An Introduction

In this programme, we discover Pythagoras' Theorem and see how it is used to solve real world problems by finding unknown values in right angled triangles. And who better to introduce and demonstrate the theorem than Pythagoras himself?
Linear Functions: An Introduction

Linear Functions: An Introduction

This programme is an excellent introduction to linear functions. Students, with the aid of "Sharpy the Pencil", learn to plot and sketch graphs from linear equations as well as deriving linear equations from existing graphs.
Understanding Ratio and Proportion

Understanding Ratio and Proportion

This programme explores ratio and proportion with the aid of real world practical examples. From mixing paint to using basic ratio and proportion to estimate time, students will be engaged and entertained by this informative programme.
Exponents: We Are the Power

Exponents: We Are the Power

Mathemania Series 4

This entertaining and informative programme explains all about exponents, the powers to which numbers are raised. Examining positive and negative indices, the uses and benefits of using exponents to express very small and very large numbers, and...Show More