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Listed under:  Mathematics  >  Number (Mathematics)  >  Number operations  >  Associativity
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Place value: Year 2 – planning tool

This planning resource for Year 2 is for the topic of Place value. Students consolidate part-part-whole knowledge when partitioning and describing two-digit numbers and extend this to three-digit numbers. They partition, rearrange, regroup and rename numbers to 999, and establish clarity about the role of zero.

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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.

Online

Find unknown values: Year 3 – planning tool

This planning resource for Year 3 is for the topic of Find unknown values. Students consolidate their knowledge of number facts up to 20 and are encouraged to practise these to aid recall. They learn number facts for addition and subtraction up to 20, becoming familiar with the different combinations. Students recall and ...

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Place value: Year 1 – planning tool

This planning resource for Year 1 is for the topic of Place value. Students further establish part-part-whole when exploring one- and two-digit numbers. They use partitioning to think about and represent numbers in different ways.

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Work sample Year 3 Mathematics: Ways to make 18

This work sample demonstrates evidence of student learning in relation to aspects of the achievement standards for Year 3 Mathematics. The primary purpose for the work sample is to demonstrate the standard, so the focus is on what is evident in the sample not how it was created. The sample is an authentic representation ...

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Work sample Year 1 Mathematics: Equilateral triangles

This work sample demonstrates evidence of student learning in relation to aspects of the achievement standards for Year 1 Mathematics. The primary purpose for the work sample is to demonstrate the standard, so the focus is on what is evident in the sample not how it was created. The sample is an authentic representation ...

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Addition and subtraction: Year 1 – planning tool

This planning resource for Year 1 is for the topic of Addition and subtraction. Students build upon the foundations of additive thinking. They draw upon part-part-whole understanding of numbers to 10 as they explore addition and subtraction within 20.

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Work sample Year 1 Mathematics: Donuts

This work sample demonstrates evidence of student learning in relation to aspects of the achievement standards for Year 1 Mathematics. The primary purpose for the work sample is to demonstrate the standard, so the focus is on what is evident in the sample not how it was created. The sample is an authentic representation ...

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Work sample Year 2 Mathematics: Trick or treat

This work sample demonstrates evidence of student learning in relation to aspects of the achievement standards for Year 2 Mathematics. The primary purpose for the work sample is to demonstrate the standard, so the focus is on what is evident in the sample not how it was created. The sample is an authentic representation ...

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MathXplosion, Ep 32: A mean trick

Learn a cool trick using the concept of the mean (or average). Pick any 3 x 3 block of dates on a monthly calendar. The number in the middle square is the mean of the nine numbers that form the 3 x 3 square. If you add all the numbers and divide the total by nine (the number of squares), the answer is the number in the ...

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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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MathXplosion, Ep 1: Magic 9s

Follow these simple calculations to illustrate the special properties of the number 9. Pick your favourite number between 1 and 9 and multiply that number by 3. Add 3 to your answer. Multiply the result by 3. Treat your two-digit answer as two separate numbers and add them together. No matter what number you pick to start ...

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BTN: What is an abacus?

An abacus is a tool that helps people solve maths problems. Why might some people still use, and encourage the use of, an abacus when there are more contemporary tools like calculators?

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reSolve: Algebra: Chess - The King

This lesson aims to build students' algebraic reasoning and understanding of number as they explore computation on the number chart. Students explore the moves of a king chess piece and how the value of the numbers change as he moves. This builds into an algebraic exploration of equivalent values that can be found on the ...

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reSolve: Authentic Problems: Grandma's Soup

This sequence of four lessons focuses on counting large collections of objects and developing efficient counting strategies. Students explore the ambiguous nature of a 'handful' and investigate how different sized hands and different grabbing techniques will result in different quantities of macaroni. Each lesson is outlined ...

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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 ...

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reSolve: Authentic Problems: What's For Lunch?

This sequence of four lessons invites students to investigate how many of a chosen food item are eaten at their school in a year. Students identify the mathematical knowledge they need to find how many of the selected items they eat in a year and devise a plan to find the total number, using grouping, partitioning and repeated ...

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reSolve: Counting Large Collections

This lesson engages students in investigating how to count a large number of objects. Students are encouraged to think of efficient counting strategies and effective ways to keep track of their count. They explore unitising, leading to an opportunity to explore the patterns formed and build an understanding of place value. ...

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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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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 ...