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Listed under:  Mathematics  >  Number (Mathematics)  >  Number operations
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Find unknown values: Year 6 – planning tool

This planning resource for Year 6 is for the topic of Find unknown values. Students find unknown quantities in numerical equations involving a combination of operations.

Online

Shooting 3-pointers: Part 2

In this lesson, students conduct a statistical investigation, collecting and analysing data using percentages, and choosing efficient calculations and strategies. The investigation is communicated visually and verbally to the teacher and peers. Students reflect on feedback and consider revisions for the investigation.

Online

Shooting 3-pointers: Part 1

In this lesson students are guided through solving a problem using mathematical modelling. Students are guided through the process of formulating a problem that can be solved using a mathematical modelling approach. A professional sporting context allows students to engage in a common basketball scoring move: shooting ...

Downloadable

Smart shopping

Students compare and evaluate different shopping options.

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7N03A Fractions - Ochre Education

This unit of work focuses on fractions. Students represent and convert between equivalent forms, such as improper and mixed numeral and equivalent and simplified fractions; compare and order positive and negative fractions; add, subtract, multiply, divide (including writing one number as a fraction of another and finding ...

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Money Year 5 & 6 - Calculate

The focus of this activity to challenge students to apply their knowledge of the four operations to solve a problem involving money. Students also need to demonstrate their ability to explain using evidence which option is the best.

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7N01A Integers - Ochre Education

This unit of work focuses on integers. Students define, represent integers on number lines and Cartesian planes using a variety of scales on the axes, compare and order, add and subtract integers; evaluate expressions involving combinations of addition and subtraction of integers, including the use of brackets and consideration ...

Video

MathXplosion, Ep 30: How many combinations can you get?

How many combinations can you get from 6 shirts and 4 pairs of pants? Determine the number of different outfits using the concept of possibilities (possible outcomes) and combinations.

Video

How does income tax work?

Gen Fricker makes income tax interesting! Learn about income tax - what it is, how it works and when you have to pay it. Easy-peasy! Then test yourself with ASIC Moneysmart's "Things to think about" classroom exercises.

Online

reSolve: Algebra: Tens and Units

This sequence of lessons aims to develop understanding of algebra as generalised arithmetic. Students learn to express 2- and 3-digit numbers in a general form and use this to explain results of arithmetic operations involving numbers with their digits reversed. The task links the ideas of place value with algebraic reasoning. ...

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: 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 ...

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 ...

Online

reSolve: Place Value: Cartoon Counting

This lesson engages students in investigating place value by considering a counting system using base 8. Students are challenged to imagine how place value would work in a cartoon world where everyone only had eight fingers. They engage in activities with counting blocks, representing numbers in base 10 and in base 8 and ...

Video

MathXplosion, Ep 2: Double that number

Explore an age-old multiplication method that repeatedly doubles numbers to get a product. Learn how this ancient method of multiplication is similar to that used by modern computers.

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reSolve: Polygon Pieces

This lesson explores the geometry of cutting polygons in different ways and using algebra to express subsequent findings. Students use one straight cut to divide a convex polygon into two new polygons. They make generalisations about the total number of sides of the two new polygons, and about the number of different combinations ...

Online

reSolve: Multiplication - reSolve Fruit Shop

This sequence of two lessons explores the use of arrays to determine how many objects are in a collection. Students use strategies such as skip counting, repeated addition and partitioning the array into smaller parts. They investigate how some numbers can be represented as an array in different ways. They also explore ...

Online

reSolve: Multiplication - Cartesian Product

This sequence of two lessons introduces the idea of multiplication as a Cartesian product, using the language of 'for each'. Students learn to use a tree diagram to find the number of possible combinations that can be made in an animal mix and match book. They learn how a simpler problem can be used to help solve a larger, ...

Online

reSolve: Algebra: Think of a number - Linear Equations

This lesson explores algebra by generalising results from arithmetic used in 'think of a number' games. Students connect arithmetic operations with algebraic notation and visualisations. The lesson begins with an observation made using arithmetic that students then justify and extend using algebra. The lesson is outlined ...

Online

reSolve: Modelling Motion - Year 7

This sequence of seven lessons challenges students to use simple equipment to predict, observe and represent motion. They create a series of graphs to represent motion and construct instruments to measure forces in one and then two dimensions. They interpret these representations to develop concepts of force and motion. ...