# Tertiary Catalogue

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## Series: Mathematics

### 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

### Algebraic Notation: Maths as a Foreign Language

Another winner in the Mathemania brand, this is a clear and concise explanation of algebraic notation. In this programme, we start with an introduction to algebraic notation then examine algebraic definitions and mathematical models, bringing it...Show More

Another winner in the Mathemania brand, this is a clear and concise explanation of algebraic notation. In this programme, we start with an introduction to algebraic notation then examine algebraic definitions and mathematical models, bringing it all together with the road test - creating a mathematical story.
With clear explanations of pronumerals and their practical uses in everyday life, this is an engaging and educational programme perfect for Maths students. 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

### 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

### Decimals: The Accuracy of Numbers

Decimal numbers come into our lives just about every day. This programme explores the world of decimal numbers where we share a day in the life of the presenter who entertains us in her own quirky way.
We head to the beach and look at number...Show More

Decimal numbers come into our lives just about every day. This programme explores the world of decimal numbers where we share a day in the life of the presenter who entertains us in her own quirky way.
We head to the beach and look at number lines; work out some high finance when buying an ice cream - adding, subtracting, multiplying and dividing decimal numbers; a surf clothing shop to examine percentages; finishing up with rounding off decimal numbers and estimating. Show Less

### 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

### 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

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 fractions. Students will learn about the parts of a fraction (numerator and denominator), types of fractions (equivalent, proper, improper, mixed), and adding and subtracting fractions. Fractions are often difficult for middle-schoolers to really understand and work with effectively. But dividing fruit into different fractions, grouping, re-grouping and further dividing, is a beautifully simple and fun way to bring fractions to life. 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

### Exponents: We Are the Power

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

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 how to calculate approximations, this is a programme that will empower all mathematics students with clear and accurate explanations. Show Less

### Expressing Probability

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

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 pencil case, students will learn how to describe probabilities using fractions, decimals and percentages in this new Miniclip. It's the purrfect way to introduce this important mathematical skill! 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

### Geometric Transformations

This programme introduces the four common geometric transformations in interesting settings and in a way that is relevant to students. Translation, reflection, rotation and dilation are investigated as they are applied to common geometric shapes...Show More

This programme introduces the four common geometric transformations in interesting settings and in a way that is relevant to students. Translation, reflection, rotation and dilation are investigated as they are applied to common geometric shapes in the coordinate plane.
Demonstrations are clearly executed with the main features of the transformations being illustrated and summarised at the end of each section of the programme.
The patterns between original and image coordinates for each transformation are clearly illustrated using graphic techniques and tables of values. These generalisations lead to algebraic statements in the form of transformation equations.
Students are encouraged to relate these ideas to their own experience and to apply them to create a geometric design or logo. The use of accurate mathematical language is used throughout the programme and illustrations come from urban streetscapes. Show Less

### Integers: The Whole Thing

Integers are all around us and used for many different purposes. This programme explores the world of integers where we share a day in the life of the presenter who entertains us in her own quirky way, taking us to a snooker hall, then to a...Show More

Integers are all around us and used for many different purposes. This programme explores the world of integers where we share a day in the life of the presenter who entertains us in her own quirky way, taking us to a snooker hall, then to a shopping centre and finally the basketball court, demonstrating how integers permeate many aspects of everyday life.
Starting with the representation of integers on a number line, the programme looks at the relative size of integers, various computations with integers, estimation and the order of operations, and applications of integers. Show Less

### Into the Negative Zone!: Working with Integers

Our young presenter ventures fearlessly into the negative zone to learn how to add, subtract, multiply and divide positive and negative numbers.

### Introducing Probability

This program demonstrates experimental and theoretical probability. Looking particularly at: probability with, and without replacement; probabilities and their complements; representing events and probabilities with tree diagrams and odds.

### Introducing Problem Solving

This program is an excellent introduction to problem solving suitable for Middle School students.

### Introducing Ratio and Proportion

Using a range of real life scenarios, this programme provides an introduction to the fundamental concepts of ratio and comparison of quantities. These include: writing ratios, ratios and fractions, equivalent ratios, using ratios to determine the...Show More

Using a range of real life scenarios, this programme provides an introduction to the fundamental concepts of ratio and comparison of quantities. These include: writing ratios, ratios and fractions, equivalent ratios, using ratios to determine the size of parts or shares, calculating and comparing rates, and using ratios and scales on maps and diagrams. Clear verbal directions are given for calculations, together with text on screen to show the correct mathematical setting out. The programme has several pause points where students have the opportunity to attempt problems after examples are given. This programme offers an excellent introduction to ratios. Show Less

### Introducing Statistics

For Junior Secondary students, this program covers statistics and simple statistical manipulation as applied in everyday life.

### 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

### Let's Get It Straight: Linear Equations and Their Graphs

This program covers a review of gradient; equation of a line through the origin; lines with positive and negative gradients; equation of a line with a positive or negative y-intercept; domain and range; parallel lines; and calculating the...Show More

This program covers a review of gradient; equation of a line through the origin; lines with positive and negative gradients; equation of a line with a positive or negative y-intercept; domain and range; parallel lines; and calculating the y-intercept when it cannot be read from the graph. Show Less

### 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.

### 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

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 recipe your guests will enjoy, to convert your favourite recipe’s serving size, or to determine the best value when comparison shopping at the grocery store. Join Matt the Mathematical Cook, a fun and lively host who will multiply, divide, measure and whip up a few recipes in the process in Maths in the Kitchen: Do You Measure Up?
Divided into 4 chapters for easy viewing with options to view standard or metric measurements, the programme includes:
• Overview – how to read a recipe
• Measuring and Equivalents – shows how to measure and common equivalents
• Conversions – allows students to practice increasing and decreasing recipes
• Cost Comparisons – students use price and size to determine what is the best buy 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

### 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

### Naming and Measuring Angles

This program provides students with a lively introduction to key concepts involved with angles, such as how we define and write information about an angle, mathematical notation for rays, line segments and lines and how to use a protractor.