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Units of Work

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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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Matariki - Level 2

Level Two
Integrated
Units of Work
This unit consists of mathematical learning, at Level 2 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...

Session One

  • Use place value based strategies to subtract single and two digit numbers.

Session Two

  • Interpret a calendar to make decisions about dates.
  • Add two digit numbers.

Session Three

  • Gather and sort data to make decisions about quantities of food to order.
  • Calculate with measures, including money.

Sess...

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Matariki - Level 3

Level Three
Integrated
Units of Work
This unit consists of mathematical learning, at Level 3 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...

Session One

  • Recognise a trapezium, right angled triangle, and points in a straight line, in different orientations.
  • Construct a model of all the possible outcomes for rolling a standard dice and use the model to predict the results of an experiment.

Session Two

  • Find the next shape in a tukutuku pattern...
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Cuisenaire Rod Fractions: Level 5

Level Five
Number and Algebra
Units of Work
This unit explores how the properties, that hold for multiplication and division of whole numbers, also apply to fractions (commutative, associative, distributive, and inverse). The operations of multiplication and division can be developed using a length model (Cuisenaire rods). While the size of...
  • Name the fraction for a given Cuisenaire rod with reference to one (whole) and with reference to another rod.
  • Fluently multiply two or more fractions.
  • Divide a fraction by another fraction, including when the divisor is greater than the dividend.
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Matariki - Level 4

Level Four
Integrated
Units of Work
This unit explores a variety of mathematical ideas, at Level 4 of the New Zealand Curriculum, in the context of Matariki. Matariki is a significant event in the New Zealand calendar and is celebrated in many schools. Matariki is an opportunity to engage in activities such as storytelling, astronomy...

Session One

  • Recognise that the properties of a figure stay constant as the figure is rotated (turned).
  • Use compass directions to locate objects.
  • Represent the relationship between numeric variables using tables and graphs.

Session Two

  • Collect, sort and display multivariate data to find patterns and...
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Cuisenaire Rod Fractions: Level 4

Level Four
Number and Algebra
Units of Work
This unit introduces the fact that fractions come from equi-partitioning of one whole. Therefore, the size of a given length can only be determined with reference to the size of one whole. Usually the one must be defined in context.
  • Name the fraction for a given Cuisenaire rod with reference to one (whole).
  • Give the relationship between one Cuisenaire Rod and another, especially when one rod is a fraction of the other.
  • Add and subtract fractions by expressing fractions as equivalents with the same denominator.
  • Order fractions...
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Cuisenaire Rod Fractions: Level 3

Level Three
Number and Algebra
Units of Work

This unit introduces the idea that fractions come from equi-partitioning of one whole. Therefore, the size of a given length can be determined with reference to one whole. When the size of the referent whole varies, then so does the name of a given length.

  • Name the fraction for a given Cuisenaire rod with reference to one (whole).
  • Find the one (whole) when given a Cuisenaire rod and its fraction name.
  • Create a number line showing fractions related to a given one (whole).
  • Identify equivalent fractions
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Kiwi Kai

Level One
Number and Algebra
Units of Work
This unit applies students’ strengths in equal sharing to develop their concept of fractions.
  • Equally partition a length into two, four, or eight parts using symmetry.
  • Equally partition a length into three or five parts using estimation and iteration (copying of a unit).
  • Name the result of equally sharing a number of objects among two, or four parties, extended to three, five and eight parties...
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A name is vital

Level Three
Statistics
Units of Work
In this unit, students learn what vital statistics are, and that Statistics New Zealand collects and collates these data. The focus is for students to present and communicate a chosen aspect of population statistics in the most appropriate graphic way, and to explain and justify their choice of...
  • Display collected data in an appropriate format.
  • Produce bar charts of data using Microsoft Excel.
  • Plan a statistical investigation.
  • Make statements about implications or possible events based on selected data.
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Egyptian Fractions

Level Five
Number and Algebra
Units of Work
This unit has a brief look at what is known about Egyptian Fractions. These are unit fractions – fractions whose numerator is one. We look at how fractions can be represented in terms of Egyptian Fractions. Finally we suggest a web site that students might like to use as resource material for a...
  • add and subtract fractions
  • look for patterns and generalise with algebra
  • consider infinity in a new situation.
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The Scientist versus the Spin Doctor

Level Five
Statistics
Units of Work
This unit is intended to develop the critical thinking required to evaluate statistical reports prepared by others. To carry out this evaluation, students will need to be familiar with making valid statistical statements of provided data and the process of selecting and presenting statistical...
  • Comment on the validity of a statistical report with reference to:
    • sample size
    • proportions stated
    • central tendency
    • the presentation of data
    • data collection
  • Comment on the voice of a statistical report.