Units of Work

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Relevant and up-to-date teaching resources are being moved to Tāhūrangi (tahurangi.education.govt.nz). 
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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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Level Three
Number and Algebra
Units of Work
This unit builds students’ understanding of place value, extending to 6 digit whole numbers.
  • Understand the structure of 6 digit whole numbers.
  • Read and write six digit whole numbers.
  • Represent numbers up to 999 999 using place value equipment
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Level Five
Integrated
Units of Work
This unit provides an opportunity for students to learn and apply knowledge of measurement of capacity and weight, ratios, and money (decimal numbers) in an engaging and authentic food-technology context.
  • Develop a problem solving strategy to work out the unit cost for a produced item (a drink).
  • Measure and compare weight and capacity accurately, recognising that weighing water is equivalent to measuring its capacity in ml.
  • Convert volume measurements to weight measurements.
  • Calculate and apply ratios.
  • M...
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Level Four
Integrated
Units of Work
This unit requires students to find relationships between variables and calculate probabilities. It is set in the context of exploring ideas related to whakataukī (proverbs).
  • Find simple exponential number patterns.
  • Use exponential patterns to make predictions about further members of the pattern.
  • Use tables and graphs to identify relationships between two variables.
  • Create rules for relationships between two variables.
  • Use fractions to measure probabilities.
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Level Four
Geometry and Measurement
Units of Work
This unit introduces and explores 24-hour time and time zones.
  • Read and use a variety of timetables and charts.
  • Perform calculations with time, including 24-hour clock times and conversions between time zones.
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Level Four
Geometry and Measurement
Units of Work
In this unit students learn about transformations (translations, rotations, reflections) and tessellations, then apply this knowledge to create a piece of art that creatively demonstrates one or more tessellated transformations.
  • Recognise invariant properties of tessellations.
  • Apply invariant properties to continue and complete given tessellating patterns.
  • Use translations, rotations and reflections to create Escher-type tessellations.
  • Apply knowledge of tessellations to the creation of a piece of art.
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Level Five
Geometry and Measurement
Units of Work
This unit applies geometry and measurement concepts (tessellations, reflections, rotations, symmetry, circles, 3D shapes, nets) in the creation of bags, door stops and other fabric items.
  • Identify translation, vertical and horizontal reflection (line symmetry), rotational symmetry, total symmetry, glide reflections, and half turn rotations.
  • Use geometric concepts (translation, vertical and horizontal reflection and symmetry, glide reflections, and half turn rotations) create friezes...
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Level Five
Number and Algebra
Units of Work
This unit requires students to apply simple exponential functions in everyday situations.
  • Create a table of values based on an exponential relationship.
  • Graph an exponential relationship on a number plane.
  • Create an equation for a simple exponential function.
  • Recognise the effect of the size of base on the growth or decay curve for an exponential function.
  • Apply exponential functions to...
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Level One
Integrated
Units of Work
This unit consists of mathematical learning, at Level 1 of the New Zealand Curriculum, focused around celebrations of Matariki, the Māori New Year. The sessions provide meaningful contexts that highlight Māori culture and provide powerful learning opportunities that connect different strands of...
  • Assemble parts of a shape to form the whole.
  • Create symmetrical figures (reflection and rotation).
  • Calculate the number of direct ancestors they have.
  • Use fractions to create rhythmic percussion patterns.
  • Order events.
  • Describe the likelihood of outcomes using the language of chance.
  • Measures quantities...
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Level Five
Statistics
Units of Work
The purpose of this unit is for students to learn and apply ideas about 'sample' to population statistics. This is done alongside the collection of data during physical education (PE) lessons.
  • Demonstrate understanding of control variables.
  • Develop investigative questions.
  • Organise data using a spreadsheet.
  • Use technology (CODAP) to process data and produce graphs.
  • Produce dot plots and box and whisker plots
  • Analyse dot plots and box and whisker plots.
  • Understand and use the “median outside the...
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Level One
Number and Algebra
Units of Work
This unit supports students to equally partition objects and sets into fractional parts.
  • Partition a length, area or volume into equal parts.
  • Partition a set into equal parts and anticipate the result.
  • Recognise that the numerator of a fraction is a count.
  • Recognise that the bottom number of a fraction gives the size of the parts being counted.