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Listed under:  Mathematics  >  Algebra  >  Mathematical expressions
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Expressions, formulas and substitution

In the lesson ‘Formulating algebraic expressions’, students were introduced to variables and forming algebraic expressions. In this lesson, students continue to develop these skills and will explore substituting values into familiar and unfamiliar formulas to determine an unknown. Students explore substitution in a range ...

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Linear expressions and equations: Year 8 – planning tool

This planning resource for Year 8 is for the topic of Linear expressions and equations. Students build on their knowledge of the order of operations, simplifying algebraic terms and their prior knowledge of the arithmetic laws. Students will now create and rearrange linear expressions, as well as expand and factorise them.

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Algebra basics video

Use this video as a springboard to introduce algebraic thinking, and to apply that thinking to a financial context, drawing on reasoning.

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Formulating algebraic expressions

This lesson encompasses students’ introduction to formal algebraic concepts. Students will be introduced to the concept of variables and will explore the construction of algebraic expressions using concrete materials. Students explore a range of authentic contexts and hands-on materials in this lesson to ensure their initial ...

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Algebra: Foundation to Year 9

This comprehensive resource describes the progression of algebra-related ideas and algebraic thinking. The resource demonstrates examples of relevant teaching strategies, investigations, activity plans and connected concepts in algebra including teaching and cultural implications.

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Use variables: Year 9 – planning tool

This planning resource for Year 9 is for the topic of Use variables. Students apply and extend their knowledge and skills of exponent laws to simplify or expand numeric and algebraic expressions and solve equations.

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Use variables: Year 7 – planning tool

This planning resource for Year 7 is for the topic of Use variables. Students students recognise pronumerals and variables in formulas they have been exposed to. They are presented real-life scenarios and explore the relationship between variables using algebraic notation as a representation.

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Formulate and manipulate expressions: Year 10 – planning tool

This planning resource for Year 10 is for the topic of Formulate and manipulate expressions. Students extend the distributive law to expanding the product of two binomials (ax + b)(cx + d) and the factorisation of non-monic quadratic expressions with integer coefficients. Students practise algebraic manipulation involving ...

Online

Formulate and manipulate expressions: Year 9 – planning tool

This planning resource for Year 9 is for the topic of Formulate and manipulate expressions. Students move beyond expanding and factorising linear expressions, such as 3(2x – 1) or 4x + 6, to working with monic quadratic expressions (that is, where the coefficient of the square term is 1). This involves expanding expressions ...

Online

Linear expressions and equations: Year 10 – planning tool

This planning resource for Year 10 is for the topic of Linear expressions and equations. Students have developed confidence from their prior learning to algebraically solve linear equations of the form ax + b = c and can represent the solution graphically. They extend this to solving pairs of simultaneous linear equations ...

Online

Formulate and manipulate expressions: Year 7 – planning tool

This planning resource for Year 7 is for the topic of Formulate and manipulate expressions. Students find unknown quantities in numerical equations involving a combination of operations.

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Spiral away with Fibonacci

Do you know the Fibonacci sequence? Learn how to draw a cool spiral as Vi Hart shows you an easy way. See how a spiral is an example of Fibonacci numbers. Vi shows examples of spirals from nature. You might be surprised at some of her examples! This is the first in a series.

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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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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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BTN: Yes, fashion designers need maths skills!

Are you interested in becoming a fashion designer? Or an architect? Or a pilot? Did you know that you need maths skills to succeed in all of these careers? Watch this video to learn how fashion designer Cristina uses maths in her work. How does architect Thomas use it? And why is maths important to pilot Paul? Can you think ...

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My Five Cents: Why investing can be risky

Planning to get rich quick by investing one day? Before you jump in, let Gen Fricker explain some of the risks involved with different types of investments. Then test yourself with ASIC MoneySmart's "Things to think about" classroom exercises.  

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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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reSolve: Addition: Chess - The Rook

This lesson engages students in investigating place value and the addition and subtraction of numbers by exploring computation on the number chart. Students analyse the moves of a rook chess piece and how the value of the numbers change as he moves. This builds into an exploration of how the number chart can be used as ...

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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 ...