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Listed under:  Mathematics  >  Algebra  >  Mathematical expressions
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reSolve: Paint with Numbers

This sequence of three lessons explores ratios through the context of mixing paint. Students investigate how ratios express a multiplicative relationship between two measures and under what conditions the proportions remain constant when the numerical values of both quantities change. The lessons are outlined in detail ...

Online

reSolve: Multiplication - The Tiler

This task explores arrays through the context of a tiling a courtyard. Students are given the total cost of tiling a courtyard and use this to calculate the price for individual tiles. They then explore the cost of different tiling designs to determine if one is cheaper than another. Each lesson is outlined in detail including ...

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MathXplosion, Ep 25: Mobius strip twist

Can you make a set of linking rings from one strip of paper? You could if you made a small change to a mobius strip! A mobius strip is a piece of paper with one surface and a half-twist. Take a regular mobius strip and divide it into thirds. As you cut the twisty strip lengthwise into three pieces, something magic happens: ...

Online

reSolve: Algebra: Triangle Inequality

This sequence of two lessons explores the triangle inequality theorem. Students are challenged to construct triangles with a given number of matchsticks, explore and record what combinations of sticks can create valid triangles and represent their findings using mathematical expressions. Each lesson is outlined in detail ...

Online

reSolve: Algebra - Equivalence

This sequence of two lessons builds students' understanding of equivalence as balance. The equals sign is used to indicate the same value on both sides of an equation. Students develop their understanding of equivalence by looking at balancing scales with blocks of different weights. Each lesson is outlined in detail including ...

Online

reSolve: Quarter Cartons

This lesson challenges students to use algebra and proportional reasoning to investigate how changing the size of a paper square or rectangle impacts the dimensions of a box folded from that paper. Students apply knowledge about nets of 3D objects and explore algebraic relationships through a set of hands-on activities ...

Online

reSolve: Authentic Problems: Bunches of Balloons

This sequence of three lessons introduces division and multiplication through the context of decorating a room with clusters of balloons. Students carry out an inquiry using a variety of processes associated with multiplication and division such as grouping concrete objects, arrays, repeated addition and skip counting. ...

Online

reSolve: Multiplication: Making Robots

This sequence of lessons introduces the key idea of multiplication as a Cartesian product, using the language of 'for each'. Students explore the total number of different robots that can be made using three heads, three bodies and three feet. The students represent the different combinations for the robots as array. The ...

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Patterns, primes and Pascal's Triangle

Are you intrigued by patterns? Check out Vi Hart as she explains how to visualise patterns in prime numbers, using Ulam's Spiral. Watch as Vi creates patterns, using Pascal's Triangle to explore relationships in number. See what happens when she circles the odd numbers. What rule does she use to create the final pattern?

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BTN: What is the GST?

The Goods and Services Tax (GST) is a tax placed on things people buy with money or things people do for money. Can you name some goods and services that have GST? What about some goods and services that don't have GST? Find out when and why the GST was first introduced.

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Big data, better hospitals

Overcrowding in hospitals is one of the biggest challenges facing our healthcare system . In order to reduce hospital waiting times, the Patient Admission Prediction Tool (PAPT) uses historical data to predict how many patients, and with what kinds of injuries, are expected to arrive at the emergency department each day ...

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My Five Cents: What is compound interest?

Compound interest will be one of the most important things you ever learn. Don't believe it? Gen Fricker will explain why. Learn how compound interest works, and why saving now can help you later. Game changer! Then test yourself with ASIC MoneySmart's "Things to think about" classroom exercises.

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Count Us In, Ep 8: How many are left?

Flynn and Dodly are practising their magic tricks. They are trying to make eggs, muffins and even guinea pigs disappear. Help our two friendly monsters work out how many should be left after their disappearing tricks.

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ABC News: Mapping a sea voyage: calculating distance

Scientists involved in the Two Bays Project describe data collection methods for their 20-day expedition around Port Phillip and Western Port bays. Watch this clip to view the route mapped out by the scientists. Use Google Maps to recreate the route and calculate the total distance travelled.

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Numbers Count: Adding two numbers

How many different ways can you think of to add two numbers to reach ten? Watch this video to learn them all!

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Mixed Up Maths, Ep 12: Super Cyril's circus supplies

Do you know how to draw up a budget? Find out how it's done. In our example our host is throwing a circus party and has $100 to spend. See how he plans to spend the money. Throw in a few discounts of 10% and 50% and look what he can afford. Does he mange to stick to his budget?

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Nine times table

Learning the times tables can be hard! Watch this neat trick to learn the nine times table using just your fingers. See if you can solve 9 times 6 using this trick.

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Numbers Count: Multiply two numbers to get twenty!

Did you know that 5 times 4 equals 20? Did you also know that there are other numbers you can multiply to get to 20? See if you can come up with at least two other numbers.

Interactive

Number frames, by the Math Learning Centre - iTunes app

Addition and subtraction using an interactive bread frame. Encourages the use of different strategies to solve addition and subtraction problems. Drawing tools enables students to annotate work to show their understanding. Write equations with the text tool. Free when reviewed on 12/5/2015.

Online

reSolve: Working with algebra

This sequence of two lessons gives students opportunities to explore and share strategies for solving algebraic problems. The lessons focus on open-ended problem solving and developing multiple approaches to solving problems algebraically such as using like terms and substitution. Students work individually and in small ...