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Listed under:  Mathematics  >  Number (Mathematics)  >  Number operations  >  Associativity
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Home energy use

Reducing carbon dioxide emissions and sustainable energy use and are two of the major issues facing the world today. This project explores energy use in homes, and compares individual energy use with the class average and calculate and graph CO2 emissions.

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MoneySmart: The house of needs and wants

This is a unit of work integrating aspects of the mathematics, English and science curriculums around planning a school breakfast. The unit was written for year 3 and is intended to take about 12 hours. It consists of 11 student activities supported by teacher notes on curriculum, pedagogy and assessment. Student activities ...

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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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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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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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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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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.

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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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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: 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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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, ...

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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: 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: Area and Perimeter

This series of three lessons explores the relationship between area and perimeter using the context of bumper cars at an amusement park. Students design a rectangular floor plan with the largest possible area with a given perimeter. They then explore the perimeter of a bumper car ride that has a set floor area and investigate ...

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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: 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: 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: 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 ...