An introduction to Exponential Growth and Decay from the perspective of Calculus applications to the physical world. Includes links to video examples and a geogebra exploration of population growth.
3 drill and practice exercises for Decimals, Percentages and Integers. These are suitable for year 7 revision or at the end of the topic. Each puzzle-page has jigsaw pieces for a famous picture at the top of the page, with an answer inscribed on each piece. There is a question board at the bottom of the page with a question in each square to match an answer on a jigsaw piece. Drag each jigsaw piece to the right square on the question board to assemble the picture correctly.
Using real life relations to generate the equation and related table of values and graph. Relations involve Pocket money, Pizza deliveries, Taxi charges, Mobile Phone charges etc. A link to a geogebra file is included for doing tables of values and plotting points for graphs of different equations.
A game where students bet on the possible number drawn from a hat. This activity explores odds of an event, and the related probability. It also looks at the expected results and their financial returns. The game can be adapted to other scenarios. Answers and student notes are also provided.
3 spreadsheets to explore these financial concepts, with accompanying teaching suggestions. See the effects of variations to interest rates, compounding periods, time, etc. Beneficial for Sequences and Series topic.
There are 10 different consumer stories which explore and explain aspects of the different working lives of various individuals. They look at their wages, overtime, allowances, commission, etc up to budgets, best buys and discounts. Each profile story integrates relevant calculations to enhance understanding. There is also a glossary, a quiz and solutions. Australian
New drill and practice exercises for Algebra, Ratio and Rates & 1 DIY puzzle. These are suitable for year 8 revision or at the end of the topic. Each puzzle-page has jigsaw pieces for a famous picture at the top of the page, with an answer inscribed on each piece. There is a question board at the bottom of the page with a question in each square to match an answer on a jigsaw piece. Drag each jigsaw piece to the right square on the question board to assemble the picture correctly.
A comprehensive treatment of Ratio, including what is a ratio, simplifying a ratio, solving ratio problems given the amount to share or the amount of one part. Links to investigative Geogebra files and video.
An introduction to the key concepts and skills of Straight Line Motion and Calculus. Instantaneous Displacement, Velocity and Acceleration are visually explained and demonstrated. There are links also to related interactive Geogebra files showing motion and the related graphs.
A presentation covering the Australian General Maths course and UK Probability, such as: Arrangements & Combinations; Probability and Trees; 2-Dice questions ; Financial Expectation, etc. Practice questions and answers included. Much of this is applicable to year 10 also.
Step by step instructions to make Geogebra files for discovering Differentiation facts, concepts and skills in stage 6 Calculus. Useful for laptop lessons for students.
This teaching/learning unit is for exploring the essential Circle Geometry concepts and facts in Extension Maths. Step by step instructions to make each Geogebra file, plus questions & related activities.
An extensive treatment of Projectile Motion and Related Calculus concepts: Time of Flight, Range and Maximum height are visually explained and demonstrated. Harder questions are investigated where simultaneous equations are employed. There are links also to related interactive Geogebra files exploring projectile motion.
Maths Drill and Practice can be motivated with a related Riddle question. The right answers to the maths questions spell out the answer to a given riddle. Four sheets are provided re year 8 Algebra, Percentages and Consumer. You (or students) can also change the given questions and related answers, or make your own sheets if you wish: instructions are provided.
This explores the concepts and skills of Simultaneous equations using practical scenarios such as ages of 2 children, prices of apples and bananas, etc. The methods of Substitution, Elimination and Graphs are exemplified.
This is a story about a Boss and his Employee discussing the process of personal taxation. It evolves as a dialogue and incorporates a question and answer style to explain the tax system to the young employee. It includes the usual jargon such as Taxable Income, Deductions, Tax Payable, Medicare Levy, Instalments etc. The Australian tax table etc is not this year, but the process is consistent with the current practice.
A Teaching and Learning Unit covering the typical cases for Area and Volume, as well as Simpson's Rule and the Trapezium Rule. Explanation leads to interactive files, via Geogebratube links, to explore and visualise the concepts and processes.
This powerpoint demonstrates laying carpet, tiling floors and hanging wallpaper. How much Carpet is needed? Does it make a difference which way carpet is laid? What about Tiles to cover a floor? Will you need to cut tiles to fit against the edge? How many full tiles must you buy? Similarly for strips of Wallpaper to cover a wall. How many full strips and what total length is needed
Step by step instructions for students to construct geogebra files. Useful for laptop lessons for students to discover and explore Measurement facts, concepts and skills in stage 4 & 5 Mathematics, such as area and volume. There are also further teaching suggestions for each file.
Operations with money are translated to a shorthand form (algebra). A PowerPoint presentation for students to distinguish 'simplifying', 'substitution' and 'evaluation', by working with coins.