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Ministry of Education New Zealand

Kaupapa: Tau (number)#

By the end of Tau 5, mokopuna can read, write, order, partition, recombine and represent numbers up to 100,000. They will:

  • read, write, order, partition, and add and subtract numbers up to 100,000
  • recognise the base 10 structure of numbers up to 100,000
  • recall division and multiplication facts for 2, 3, 5, 9 and 10
  • round numbers to the nearest 10, 100, 1,000, using place value reasoning.

You can use this resource to help reinforce mokopuna’s learning.

Ideas for whānau activities#

He kēmu

Estimate the cost of items on a menu. Play times table games such as calling out an equation and seeing who can answer first, or how quickly mokopuna answer.

Whakataetae hākinakina

Choose a favourite sports team and track their game scores. Add up the points and find the total over a season. Compare 2 teams’ scores: "Ko wai te toa whakaihuwaka?", "Who is the champion?".

Ngā tini mata o te reo o tau – the language of number

  • ōrau – percentage
  • hautekau – tenth
  • haurau – hundredth
  • haumano – thousandth
  • tauwehe pātahi – common factor
  • taurea pātahi – common multiple
  • tau pūrua – square number
  • wāwāhinga moni – change.

Kaupapa: Ine (measurement)#

By the end of Tau 5 at kura, mokopuna curiosity is sparked as they compare, estimate, and quantify attributes like length, area, mass, time and temperature. They will:

  • solve measurement tasks that involve area and volume using appropriate units and scale
  • apply perimeter, area, and volume understanding in kaupapa Māori contexts such as preparing a hāngī pit.

Ideas for whānau activities#

Help with kai

In the kitchen at home or at the marae, help prepare kai. What portions or ingredients are needed? For example, kilograms of rīwai and kūmara, litres of milk, grams of butter. How hot should the oven be and how long will it take to cook the kai based on its weight?

Help prepare different stages of a hāngī. Estimate how deep and wide the hole should be. Discuss how much firewood and how many sacks are needed. How long will it take to cook based on all the variables? Remember to make sure of safety for all around the fire!

Help with projects

Use metric rulers, tape measures, or squares for projects at home. Make a rough comparison of measurements to objects or parts of the body.

Ngā tini mata o te reo o te ine – the language of measurement

  • rahinga āwhiwhi (o tētahi koki) – approximate size
  • waeine – units of measure
  • tauoti – whole number
  • putu – degree
  • paenga – perimeter
  • horahanga – area
  • rōrahi – volumes
  • ata – am
  • pō – pm.

Kaupapa: Āhuahanga (geometry)#

By the end of Tau 5 at kura, mokopuna can:

  • identify, classify, and describe the attributes of prisms, using cross sections, faces, edges, and vertices
  • apply geometric reasoning to kaupapa Māori contexts, such as interpreting a pā site or traditional navigation using the stars and landmarks.

Ideas for whānau activities#

Mahere whenua | map

Create a mahere whenua | map of your home or neighbourhood using grid paper. Mark key places like the marae, rivers, maunga, and whānau homes. Use compass directions (raki, tonga, rāwhiti, uru) to describe locations.

Rākau

Collect rākau from outside and use them to make 2D shapes like tapawhā | squares, tapatoru | triangles, porowhita | circles.

Tapatoru | triangle

Draw a large tapatoru | triangle on the ground with chalk. Divide it into different-sized triangles using extra lines. Talk about ōrite | equilateral, rua taha ōrite | isosceles, and taha katoa rerekē | scalene triangles.

3D shapes

Try 3D shapes like pīrami | pyramids and tapawhā kōpiko | cubes using small sticks and string. Talk about the number of taha | sides, kokonga | corners, and tapeke | edges.

Ngā tini mata o te reo o āhuahanga – the language of geometry

  • raumata – net (of a solid figure)
  • panoni – transformation
  • hurihanga – rotation
  • nekehanga – translation
  • whakarahinga – enlargement
  • pū huringa – centre of rotation
  • pū whakarahi – centre of enlargement
  • taunga – coordinate/position.

Kaupapa: Tauanga (statistics)#

By the end of Tau 5 at kura, mokopuna can:

  • recognise the need for relevant and usable data to answer investigative questions
  • conduct investigations using the statistical enquiry, communicate findings, using data displays.

Ideas for whānau activities#

Attend events like Te Matatini, Polyfest, and Ngā Manu Kōrero and:

  • take notebooks and act as judges recording points for each individual or kapa item based on your own criteria
  • record your results and compare them
  • create a table of data you have gathered with your criteria as headings. Who are the overall champions?
Ngā tini mata o te reo o tauanga – the language of statistics

  • kauwhata rārangi – line graph
  • āhuatanga kōhure – distinctive feature (of data)
  • ripanga – spreadsheet
  • pou – column
  • kapa – row.

Kaupapa: Tūponotanga (probability)#

By the end of Tau 5 at kura, mokopuna can use mathematical language to:

  • estimate and compare chances
  • make predictions
  • test outcomes
  • reflect on patterns to inform decisions that impact themselves and their communities.

They will investigate chance situations with equally likely outcomes by posing questions, predicting results, and visualising frequencies.

Ideas for whānau activities#

To learn about probability at home, you could:

  • roll a dice and ask "which number do you think will come up most?" and track the results over 20 rolls
  • explore probability concepts in kaupapa Māori contexts, such as traditional Māori games
  • talk about the likelihood of a sports team winning based on past games or statistics.
Ngā tini mata o te reo o te tūponotanga – the language of probability

  • matapōkere – random
  • whakapae – prediction
  • putanga – outcome
  • pāpono wehe kē – independent event
  • pāpono whakawhirinaki – dependent event.