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Listed under:  Mathematics  >  Number (Mathematics)  >  Number operations  >  Associativity
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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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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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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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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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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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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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Partitioning: One is a snail, ten is a crab - Calculate

This activity provides students with an opportunity to partition numbers in different ways. Partitioning is an important concept as it allows numbers to be broken up so that they’re easier to use.

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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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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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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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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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Mixed Up Maths, Ep 1: Monumental measurement mess ups

Did you know that in Australia we use a metric system for measurement? See if you know the units of measurement for length, mass and volume. Find out what system the United States uses. You guessed it - they don't use the metric system! See how a mix up of these units can cause all kinds of mess ups.

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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 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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reSolve: Algebra: Odds and Evens

This sequence of two lessons focuses on developing students' understanding of the properties of odd and even numbers. Students explore the results of adding and subtracting odd and even numbers and use these results to make generalisations. They then apply this generalisation to solve problems and to explore patterns. The ...

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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: 10000 Centicubes

This sequence of four lessons integrates content in number and measurement to deepen students' understanding and confidence working with larger numbers. Students work flexibly with numbers up to 10 000 as they determine suitable dimensions for a container that can hold 10 000 centicubes. They are challenged to plan, construct ...

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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: 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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Next Domino

This resource is a web page containing a short task to explore counting patterns. Dominoes are used to make counting patterns, add the next two dominoes that follow the pattern. A printable resource is also available to support the task. This resource is an activity from the NRICH website.