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Units of Work

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

Teaching and learning activities for around five classroom mathematics sessions. Units include links to the NZC, specific learning outcomes, descriptions of sequenced teaching and learning activities, useful questions to use with students, a list of the resource materials required, and any copymasters needed.

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Square Xs

Level Five
Number and Algebra
Units of Work
This unit supports students to form and use quadratic equations to solve ratio problems such as: T he Square Xs Problem A square has an area, in m², that is a number nine less than six times the length of one side (in m). Find the dimensions of the square.
  • Investigate situations involving quadratics.
  • Understand that there are many ways to solve quadratic problems.
  • Solve for unknowns in factorised quadratics.
  • Appreciate the use of algebraic techniques in solving quadratic problems.
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It takes a village

Level Four
Integrated
Units of Work
In this unit students develop understanding of the financial challenges faced by superannuitants in their local community. As part of this, they research the community resources and services that are available to support the older citizens and implement a (short term) programme of help for at least...
  • Apply number knowledge and strategies to bank statements and budget problems.
  • Consider and apply protocols around the manageability of data collection and data safety.
  • Use research information to inform an investigation.
  • Determine appropriate variables and data collection methods.
  • Design a survey format...
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Rights and Responsibilities

Level Four
Number and Algebra
Units of Work
In this unit students make and implement a small business plan for a service or a product, and explore the producer/consumer relationship. They apply number skills to auditing the budget and cashflow of a small business.
  • Identify a need and an opportunity.
  • Research and develop a small business plan.
  • Understand costs, including start up costs.
  • Understand profit, credit and cashflow.
  • Apply number skills to audit a business plan and cashflow.
  • Compare profit with returns and explain variance.
  • Understand how...
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A Measured Response

Level Four
Integrated
Units of Work
The purpose of this unit is to have students identify a need, plan a response, seek feedback, design and build a ‘product’, applying number, measurement and technology knowledge and skills.
  • Identify a utility need or opportunity within the school and plan a response .
  • Create a design incorporating key attributes identified.
  • Investigate quality and comparative costs of possible construction materials.
  • Cost ‘fit for purpose’ construction materials and prepare a budget.
  • Draw plans...
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Sports figures

Level Three
Statistics
Units of Work
In this unit students investigate the sport and recreation dispositions and habits of the students in their school, and present data using a display they have evaluated and identified as effective.
  • Understand and calculate percentages.
  • Write summary statements from data presented in tables and graphs.
  • Present data in strip graphs and pie graphs.
  • Compare the effectiveness of data displays.
  • Pose an investigative question, plan and carry a statistical enquiry.
  • Present findings, making sensible...
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Play dough

Level One
Geometry and Measurement
Units of Work
In this unit students develop number, measurement, and shape understandings, skills and language, through making and working with play dough in a technology context.
  • Sort shapes by their appearance.
  • Justify the classification of shapes using geometric language
  • Identify the differences between 2D and 3D shapes.
  • Recognise that two-dimensional shapes are flat and have no ‘thickness’.
  • Use non-standard units to measure capacity.
  • Recognise that shapes with three dimensions...
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What's in a text?

Level Three
Statistics
Units of Work
The purpose of this unit is to conduct statistical investigations into the relative popularity of different text and print features, using data squares as the data gathering tool.
  • Pose an investigative question.
  • Design and carry out an investigation.
  • Answer questions by sorting, organising and arranging information.
  • Make statistical displays of the collated data.
  • Make sensible statements about the information with supporting evidence.
  • Critique the investigation process.
  • Pose...
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A Model World

Level Four
Integrated
Units of Work
The purpose of this unit is for students to apply and refine their measurement skills and to develop an understanding of enlargement and reduction, through making scale models to be used in a short, animated stop-motion film.
  • Understand and describe proportion using the language of mathematics.
  • Understand the principles of scale.
  • Create scale drawings.
  • Calculate scale dimensions.
  • Make accurate metric length measurements.
  • Understand that the value of the scale factor of a reduction is less than 1 and for an enlargement is...
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Healthy Hands

Level One
Statistics
Units of Work
The purpose of this unit is conduct a statistical investigation to answer a health question such as, "does washing my hands keep me from getting sick?"
  • Identify a health issue for investigation.
  • Pose an investigation question with support from the teacher.
  • Participate in developing a plan to collect data.
  • Gather, sort, count and display category data.
  • Make a pictograph and identify its key features.
  • Discuss results of an investigation.
  • Make ‘I wonder’...
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The Transformations of Spring

Level One
Geometry and Measurement
Units of Work
The purpose of this unit is for students to investigate the transformation elements of geometry in spring flowers. They apply these elements to create artworks.
  • Develop and use attribute language.
  • Sort flowers by their appearance.
  • Explain and justifying groupings with reference to attribute language.
  • Recognise and describe reflection.
  • Recognise and describe symmetry.
  • Recognise and describe rotation.
  • Recognise and describe translation.
  • Apply understandings of...