Curriculum Library Mathematics Guide 2015 by ClickView

Curriculum Library Maths

Educational videos for Secondary Schools

Guide

2015-16

Mathematics ClickView’s picks

Algebra - The Basics

Drawing Prisms

Exploring Fractions

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

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.

In this program, students learn about the parts of a fraction (numerator and denominator), types of fractions (equivalent, proper, improper and mixed numerals), and adding and subtracting fractions.

ACMNA175, ACMNA176, ACMNA177, ACMNA192

ACMMG161, ACMMG140

ACMNA152, ACMNA153, ACMNA154, ACMNA155

2011 | 21 min | Australia | AR | T212

2015 | 4 min | Australia | AR | T215

2011 | 18 min | Australia | AR | T311

Mean, Median and Outliers

Proving Congruent Triangles

Small and Large Time Scales

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.

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.

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.

ACMSP207

ACMMG243

ACMMG219

2015 | 6 min | Australia | AR | T215

2014 | 5 min | Australia | AR | T115

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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 indices are demonstrated. Ideal for introducing or reinforcing concepts.

T212

Algebra - The Basics

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Mathematics

2011 AUS

T414

ACMNA212

2014 AUS

Bivariate Data and Pool Use

This clip investigates how the number of people at the local pool changes over the course of a day. 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.

T215

ACMSP252

2015 AUS

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. Ideal for applying mathematical concepts to real world situations.

T115

ACMMG199

2014 AUS

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 transformations (translation, reflection, rotation).

T115

ACMMG200

2014 AUS

Drawing Prisms

T215

ACMMG161 ACMMG140

2015 AUS

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 statistics and displays to support their claims.

T215

ACMSP253

2015 AUS

Exploring Fractions

In this program, students learn about the parts of a fraction (numerator and denominator), types of fractions (equivalent, proper, improper and mixed numerals), and adding and subtracting fractions.

T311

ACMNA152 ACMNA153 ACMNA154 ACMNA155

2011 AUS

Exponents and Index Laws

In this clip, we learn how to apply index laws to numerical expressions with integer indices. First, we determine how many pallets of water bottles is needed for a 16-day yacht trip. Next, we calculate the rate at which light sensitive bacteria populations increase or decrease depending on environment changes.

T414

ACMNA209

2014 AUS

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 shape, including partitioning.

T115

ACMMG216

2014 AUS

ACMMG198 ACMMG217 ACMMG218 ACMMG242 ACMMG271 and more…

2005 AUS

Geometry 2: Surface Area of Solids

This program shows how to measure the dimensions of common three dimensional objects. The calculations needed to obtain their surface areas and volumes are also illustrated.

T305

Mathematics

ACMNA175 ACMNA176 ACMNA177 ACMNA192

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Mathematics

ACMSP250 ACMSP249

2015 AUS

Interest, Loans and Credit

This vibrant, fast-paced program takes a mathematical approach to finding the right financing option for buying a new bike. It explores simple interest, compound interest, and various financing options. It also considers fees and charges, interest earned or paid, and how long it takes to save a certain amount.

T311

ACMNA211 ACMNA229

2011 AUS

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 rightangled triangles. The hypotenuse, adjacent and opposite sides, side lengths and ratios are also explored.

T215

ACMMG223 ACMMG224

2015 AUS

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 on the results and reliability of the surveys are discussed.

T215

ACMSP227 ACMSP206

2015 AUS

Irrational Numbers: Pi and Pies

The clip explores how the irrational number Pi is derived by finding the relationship between a circle’s diameter or radius and its circumference; the relationship between a circle’s radius and its area; and provides an example of a practical application in calculating the area of different sized pie tins.

T414

ACMNA186

2014 AUS

Linear Functions: An Introduction

This Australian made, curriculum-fit program 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 derive equations from straight line graphs.

T409

ACMNA193 ACMNA215 ACMNA294

2009 AUS

Mathemania Series 1

T215

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, quartiles, left and right-skewed data, boxplot whiskers and data displays.

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This ground-breaking series lifts maths out of the textbook and onto the screen for today’s generation of visual learners. The bright, energetic format of the programs, featuring young presenters and appealing locations, is guaranteed to hold the attention of the most reluctant maths student. This series includes the following titles:

Mathemania Series 2

Algebra: A Piece of Cake: An Introduction to Algebra

T404

ACMNA175 and more…

2001 AUS

Fantastic Factorising: An Introduction to Factorising in Algebra

T404

ACMNA190 and more…

2001 AUS

Into the Negative Zone! Working with Integers

T404

ACMNA124 and more…

2001 AUS

Let’s Get it Straight: Linear Equations and Their Graphs

T105

ACMNA193 and more…

2001 AUS

Making Sense of Percentages

T404

ACMNA157 ACMNA158

2001 AUS

That’s a Bit Steep: All About Gradients

T404

ACMNA294

2001 AUS

The second series of the popular Mathemania programs is designed to bring maths to life, features young presenters, easy-to-follow explanations and great graphics. It features programs that focus on concepts related to measurement and geometry, and statistics and probability. This series includes the following titles:

Introducing Probability

T404

Introducing Problem Solving

T105

ACMSP092 and more…

2003 AUS 2004 AUS

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Mathemania Series 3

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Introducing Ratio and Proportion

T404

ACMNA173 ACMNA188

2003 AUS

Introducing Statistics

T404

ACMSP170 and more…

2003 AUS

Plane and Simple: Areas of Polygons and Circles

T105

ACMMG159 and more…

2004 AUS

Trigonometry

T404

ACMMG220 ACMMG224

2004 AUS

The third series of the popular Mathemania series is designed to bring maths to life, features young presenters, easy-to-follow explanations and great graphics. It features programs that focus on concepts related to measurement and geometry. This series includes the following titles:

Mathemania Series 4

ACMNA178 and more…

2006 AUS

Coordinate Geometry

T107

Geometric Constructions

T107

Naming and Measuring Angles

T406

ACMMG112 and more...

2006 AUS

Similarity, Ratio and Proportion

T306

ACMMG220 ACMMG221

2006 AUS

Triangles and Quadrilaterals

T406

ACMMG165 and more…

2006 AUS

The fourth series of the popular Mathemania series is designed to bring maths to life, features young presenters, easy-to-follow explanations and great graphics. The programs explore concepts related to number and algebra, and measurement and geometry. This series includes the following titles: T407

ACMNA175 and more...

2007 AUS

Decimals: The Accuracy of Numbers

T207

ACMNA130 and more…

2007 AUS

Exponents: We are the Power

T307

ACMNA182 and more…

2007 AUS

Geometric Transformations

T107

ACMMG114 ACMMG115

2007 AUS

Integers: The Whole Thing

T307

ACMNA151 ACMNA280

2007 AUS

Rational Numbers: We are Proportional

T307

ACMNA184 ACMNA186

2007 AUS

Roots: The Radical Idea

T307

ACMNA264

2007 AUS

Mean, Median and Outliers

T215

ACMSP207

2015 AUS

Metric Units - Length, Mass and Capacity

This program explains the metric units used to measure length, mass and capacity. We start at the beach and measure the length of its features. Next, we move to the kitchen to learn to use a centimetre ruler, before weighing household items. We measure capacity to make a date-and-walnut loaf.

T311

ACMMG061 ACMMG085 ACMMG108

2011 AUS

Operations with Algebraic Fractions

This clip applies the four operations to simple algebraic fractions with numerical denominators. It uses the example of a pizza to add and subtract fractions, and determine lowest common denominators. Pro-numerals are incorporated into examples, which increase in difficulty to multiplying and dividing fractions.

T414

ACMNA232

2014 AUS

Mathematics

Algebraic Notation: Maths as a Foreign Language

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Mathematics

T215

ACMNA238

2015 AUS

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 her handiwork.

T115

ACMMG243

2014 AUS

Pythagoras’ Theorem: An Introduction

In this Australian made, curriculum-fit program, we discover Pythagoras’ Theorem and see how it is used to solve real-world problems. And who better to introduce and demonstrate the theorem than Pythagoras himself?

T409

ACMMG222

2009 AUS

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. This clip introduces and defines important terms like experimental probability, relative frequency, and complement.

T215

ACMSP226 ACMSP205 ACMSP292

2015 AUS

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

T215

ACMSP251

2015 AUS

Simplifying Algebraic Products and Quotients

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.

T414

ACMNA231

2014 AUS

Small and Large Time Scales

T115

ACMMG219

2014 AUS

Solving Linear Equations

By reviewing a variety of methods for solving equations, including guess, check and improve; the balance method; and backtracking, this program takes students through the process of finding a solution to various types of linear equations. It uses real-life examples and applications from various disciplines.

T212

ACMNA194 ACMNA240

2011 AUS

Spherical Geometry and Navigation

This program uses the journey of a container ship to investigate spherical geometry and navigation. The concepts addressed include Earth as a sphere; great and small circles; latitude and longitude; origin of the metre and nautical mile; calculating arc length; time zones; and the circumference of Earth.

T305

Statistics - Sampling, Surveying and Data Analysis

In this program, statistics is used by the presenter and her friends to create a YouTube music video for their target market. The concepts addressed include qualitative and nominal data, and measures of central tendency.

T311

Substituting Values in Formulae

This clip demonstrates the importance of algebra and mathematical formulae in solving everyday problems. Our narrator substitutes values into formulas to determine the information he requires with examples as he calculates speed, distance and time measurements, the volume of a cylinder, and the cost of electricity.

T414

This clip demonstrates how to solve problems involving parallel and perpendicular lines. Methods for finding the gradient and equations of parallel and perpendicular lines are applied to different situations including plotting data relating to time and distance travelled by three joggers.

Parallel and Perpendicular Lines

Brief Summary

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2001 AUS

ACMSP206 ACMSP248 ACMSP282 ACMSP284

2011 AUS

ACMNA234

2014 AUS

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ACMSP293 ACMSP284

2015 AUS

Symmetry and Angles: Geometry of Groove Part 1

Geometrical concepts play a critical role in the music industry. The program shows how symmetry is applied by sound engineers to get the best possible sound quality. It also covers how angles are used to record a rock-and-roll band, and to determine the speaker arrays needed for a dance venue.

T305

ACMMG181

2002 AUS

Taking a Chance - Key Probability Concepts

This program is an odds-on favourite to make understanding probability a lot of fun! It introduces the basic concepts of probability, including complementary events, two-way tables, Venn diagrams, tree diagrams, and independent and dependent events.

T112

ACMSP204 ACMSP205 ACMSP225 ACMSP246 ACMSP292

2011 AUS

Time: Understanding and Calculating World Time

This program examines how time zones work, and how the difference in time between different regions is calculated. It covers the relationship between longitude and time, explains the International Date Line, and how time differences between various countries are calculated.

T305

Triangles and Polygons: Geometry of Groove Part 2

The application of geometrical concepts is critical in the contemporary music industry. This program explains how triangles are applied in home stereo systems and studio recording, and how polygons are used in designing recording studios.

T305

ACMMG165

2002 AUS

Tutorial: Probability

This maths tutorial explains probability.

T305

ACMSP204 ACMSP205 ACMSP292

1990 AUS

Tutorial: Series and Sequences

This maths tutorial explains series and sequences.

T305

1990 AUS

Tutorial: The Exponential Function

This maths tutorial explains exponential functions.

T305

1990 AUS

Tutorial: The Logarithmic Function

This maths tutorial explains logarithmic functions.

T305

1990 AUS

Tutorial: Trigonometric Functions

This maths tutorial explains trigonometric functions.

T305

1990 AUS

Understanding Ratio and Proportion

This Australian made, curriculum-fit program 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 program.

T409

2001 AUS

ACMNA173 ACMNA188

2009 AUS

Mathematics

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In this clip, the results of student surveys are collated into tables and means are calculated. This resource explores categorical and numerical data, relative frequency, sample size, variation of means, and column graph interpretation.

Survey Data: Collecting and Displaying

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About ClickView For over a decade, we have been providing educational videos to help Australian teachers create engaging lessons and improve learning outcomes. ClickView lets you store, manage and deliver digital content throughout your school while allowing teachers and students to watch these videos outside the classroom at their own pace. We curate the best educational videos from renowned content providers from all over the world and with the recent acquisition of VEAâ&#x20AC;&#x2122;s production department, we are now creating the curriculumrelevant content that your school needs to support teachers and engage students.

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@ClickViewAU /ClickViewAU Due to continuing improvement of our Curriculum Library, ClickView reserves the right to modify or remove some of the titles listed in this catalogue without prior notice. Copyright 2015 ClickView Pty. Ltd. ABN: 78 106 176 514 - All rights reserved. ClickView and its products/services such as ClickView Online are trademarks or registered trademarks of ClickView Pty. Ltd. in Australia and/or other countries. All other product and company names mentioned herein may be trademarks or registered trademarks of their respective owners.