1. NZ Maths
  2. Supporting professional practice
  3. Curriculum elaborations
  4. National Standards Illustrations
  5. Year 6
  6. Sharing Pizzas: Year 6

Illustrating the Mathematics Standards

The Ministry is migrating nzmaths content to Tāhurangi.           
Relevant and up-to-date teaching resources are being moved to Tāhūrangi (tahurangi.education.govt.nz). 
When all identified resources have been successfully moved, this website will close. We expect this to be in June 2024. 
e-ako maths, e-ako Pāngarau, and e-ako PLD 360 will continue to be available. 

For more information visit https://tahurangi.education.govt.nz/updates-to-nzmaths

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Year 1Year 2Year 3Year 4Year 5Year 6Year 7Year 8

Sharing Pizzas: Illustrating the year 6 standard

The following examples of student work illustrate achievement at the mathematics standards for year 6.
 
 
This activity was one of several used by a teacher of years 5 and 6 as part of their work on fractions. The activity relates to achievement objectives for number strategies and number knowledge from the mathematics and statistics learning area in The New Zealand Curriculum.

The Task

Sharing Pizzas

At the school fair, five children buy eight pizzas. They agree to take home equal shares. How much will each child take home?

Some features of students’ work used to make judgments in relation to the mathematics standards are described below. There is also an illustration of the year 7 standard for this task.
 
New Zealand Curriculum: Level 3 National Standards: By the end of year 6
In solving problems and modelling situations, students will:
Number and Algebra
  • use a range of additive and simple multiplicative strategies with whole numbers, fractions, decimals, and percentages (number strategies)
  • know fractions and percentages in everyday use (number knowledge)
Number and Algebra
  • apply additive and simple multiplicative strategies flexibly to:
    – combine or partition whole numbers, including performing mixed operations and using addition and subtraction as inverse operations
    – find fractions of     sets, shapes, and quantities

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PDF of this task and Illustrations of the year 6 and 7 standards (1.17MB)