1. Home

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. 
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

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.

Resource logo

All about angles

Level Four
Geometry and Measurement
Units of Work
This unit supports students to understand angles as a turn relationship between two rays, and to apply their understanding in sport and design settings.
  • Identify angles in the environment.
  • Measure an angle using a protractor.
  • Use angles to travel at a bearing.
  • Anticipate the path of a ball as it bounces off a wall.
  • Use rotational symmetry to create a logo.
Resource logo

Rugby World Cup stats

Level Four
Statistics
Units of Work
This unit requires students to use statistics about the top ranked teams in the 2019 Rugby World Cup to predict the winner of the World Cup, justifying their prediction using data. Notes are included for adapting this unit post the 2019 World Cup.
  • Recognise variables and measures in an existing data set.
  • Establish criteria and use these to sort data.
  • Display data using technology.
  • Use graphs to make comparisons between groups.
  • Justify conclusions based on data.
Resource logo

Fascinated by Fibonacci

Level Four
Integrated
Units of Work
This unit looks at Fibonacci numbers and how they occur in nature. Fibonacci numbers provide a rich context in which to apply algebra at Level 4. It is recommended that students already have some experience with Level 4 algebra, prior to the introduction of this unit.
  • Use a recursive rule to generate the sequence of Fibonacci numbers.
  • Create a Fibonacci spiral using squares with Fibonacci side lengths.
  • Find a pattern of odd and even numbers in the sequence.
  • Identify and represent patterns we find for consecutive numbers in the sequence.
Resource logo

How much bullying?

Level Four
Statistics
Units of Work
This unit requires students to look at the reported state of bullying in New Zealand schools and to develop and administer their own surveys about bullying. They analyse their data and create a report outlining the results of their investigation.
  • Critically explore the validity of claims based on data.
  • Evaluate the quality of survey questions that are developed by others.
  • Create survey questions that align to an investigative question.
  • Administer a survey, collate, and display the data, and report findings.
Resource logo

What's going on? Fractions

Level Four
Number and Algebra
Units of Work
This unit develops students’ recognition of pattern (consistency) in equations involving equivalence, addition and multiplication of fractions.
  • Describe and represent the addition of fractions with like and unlike denominators.
  • Describe and represent why two or more different fractions can represent the same quantity (equivalence).
  • Describe and represent how improper fractions can be renamed as mixed numbers (whole number and fraction).
  • Find...
Resource logo

What's going on? Properties of multiplication and division

Level Four
Number and Algebra
Units of Work
This unit develops students’ recognition of pattern (consistency) in equations involving multiplication and division with whole numbers.
  • Describe and represent the commutative property of multiplication
  • Describe and represent the distributive property of multiplication by attending to place value
  • Recognise that multiplication and division are inverse operations, and interpret division as either equal sharing or measuring.
  • Find...
Resource logo

Goodnight stories for builders and architects to be

Level Five
Geometry and Measurement
Units of Work
This unit supports students to learn and apply Pythagoras’ theorem and trigonometry in an engaging context which leads to the production of an authentic and useful outcome: a resource “Goodnight Stories for Builders and Architects to be…” for other classes to use. This frames Pythagoras and...
  • Know some of the history behind Pythagoras’ theorem.
  • Understand and apply Pythagoras theorem and trigonometry ratios in mathematical and real world contexts, and to practical problems.
  • Demonstrate understanding of sin, cos and tan.
  • Write Pythagoras or trigonometry problems.
  • Calculate angles given two...
Resource logo

Getting partial: Multiplying decimals

Level Four
Number and Algebra
Units of Work
This unit requires students to apply their number sense about the size of decimals to estimate and calculate the product of decimal fractions. In doing so they generalise about the effect of multiplying and dividing by ten and one hundred.
  • Express a multiplication of two decimals as a product of fractions, e.g. 0.4 x 0.7 as 4/10 x 7/10 = 28/100.
  • Connect the product of the two fractions to the decimal answer, e.g. 28/100 = 0.28.
  • Know the effect of multiplying and dividing a decimal number by ten or one hundred.
  • Use multiplication and...
Resource logo

Getting partial: Fractions of sets

Level Four
Number and Algebra
Units of Work
This unit develops the concept of a fraction as an operator, or multiplier, acting on an amount, e.g. two-thirds of 24. Using fraction multipliers to represent the relationship between different amounts is also explored.
  • Find a unit and non-unit fraction of a set, e.g. two thirds of 24 (2/3×24).
  • Use a fraction to represent the relationship between part of a set and the whole set.
  • Recognise when the fractions of two different sized sets are equivalent, and when one fraction is greater than another.
  • Use a fraction to...
Resource logo

Getting partial to percentages

Level Four
Number and Algebra
Units of Work
This unit supports students to recognise percentages as equivalent fractions, and to carry out simple calculations involving finding percentages of amounts.
  • Use the percentage bar model to find the percentage that a part is of a whole.
  • Use the percentage bar model to find a percentage amount of a whole.
  • Simplify parts of a whole to common fractions to find percentages.
  • Use percentages to represent the relationship between two different wholes or parts.