1. NZ Maths
  2. Supporting professional practice
  3. Curriculum elaborations
  4. National Standards Illustrations
  5. Year 7
  6. Sharing Pizzas: Year 7

Illustrating the Mathematics Standards

Thanks for visiting NZMaths.
We are preparing to close this site and currently expect this to be in June 2024
but we are reviewing this timing due to the large volume of content to move and
improvements needed to make it easier to find different types of content on
Tāhūrangi. We will update this message again shortly.

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

image map.

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

Sharing Pizzas: Illustrating the year 7 standard

The following examples of student work illustrate achievement at the mathematics standards for year 7.
 
 
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 6 standard for this task.
 
New Zealand Curriculum: Level 4 National Standards: By the end of year 7
In solving problems and modelling situations, students will:
Number and Algebra
  • understand addition and subtraction of fractions, decimals and integers.
  • apply simple linear proportions, including ordering fractions (number strategies and knowledge)
Number and Algebra
  • apply additive and multiplicative strategies flexibly to whole numbers, ratios, and equivalent fractions (including percentages)

 Hover over the image to zoom a section.  Click on the image to enlarge it. Click again to close.

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