Kaupapa: Tau (number)#

By the end of Tau 6 at kura, mokopuna can use the structure of rational numbers to make sense of parts and wholes in real life contexts. They will:

• extend their knowledge of place value understanding to work with whole numbers up to the millions
• use mental and written strategies like halving and doubling, place value partitioning, and known facts
• solve multi-step operations combining addition, subtraction, multiplication and division, deciding which operation to use and why and following the order of operations.

Ideas for whānau activities#

Create a multiplication chart

Help mokopuna create a multiplication chart up to 10 x 10. Practising these facts daily can strengthen their recall of multiplication and division facts.

Measure and calculate area

Use everyday objects at home, like books, boxes, or tiles, to measure the length and width of a room. Then, guide them to calculate the area by multiplying the 2 measurements (length x width). You can also explore volume with objects that can be filled, like containers or cups, to show how volume works.

Real-life multiplication

Look for opportunities around the house or outside where multiplication is used, such as:

• figuring out the number of chairs needed for a family gathering (rows x seats per row), or
• determining how much wallpaper is needed to cover a wall (length x height).

Kaupapa: Taurangi (algebra)#

By the end of Tau 6 at kura, mokopuna can:

• test conjectures
• communicate relationships between quantities
• understand how variables and equations can describe real world phenomena, supporting reasoning, justification, and problem solving.

They will:

• use tables, XY graphs and diagrams to identify linear patterns
• describe the constant rate of change in words
• make predictions using the rule.

Ideas for whānau activities#

Patterns

Draw a tukutuku pattern with a repeating pāngarau pattern. Ask: "He aha te ture o te tauira?", "What is the pattern rule?". For example, if the pattern grows by 3 each time, they write a rule: n × 3.

Secret numbers

A member of the whānau thinks of a secret number (x). They give clues using equations, for example, "Mā te whakarea ki te 4, ka 20." ("Multiply by 4 to get 20.") Mokopuna are encouraged to solve it: x = 5.

Pāngarau magic trick

Do a pāngarau magic trick. Tell mokopuna to choose a number (x) in their heads. Give them a series of steps (for example, multiply by 2, add 4, divide by 2, subtract the original number). The answer will always be the same (for example, it always lands on 2).

Kaupapa: Ine (measurement)#

By the end of Tau 6 at kura, mokopuna can recognise that measurement is not only a mathematical process but also a creative, cultural and practical activity. They will:

• visualise, estimate, and calculate the area of rectangles and the volume of rectangular prisms by applying multiplication
• convert units of time, including 12-and 24-hour time systems, and solve duration-of-time problems.

Ideas for whānau activities#

Measure objects

Use a ruler, measuring tape, or your ringa | hands to measure things around the house. Get mokopuna to estimate first, then measure and compare.

Ask: "Ki ō whakaaro, he aha te roa o tō waewae i ngā mitarau?" ("How long do you think your foot is in mitarau?"). Then convert measurements between mitamano (mm), mitarau (cm), and mita (m).

Measure distance and time

Measure how long it takes to walk or run a distance. Use a timer. "E hia ngā hēkona ki te oma i tēnei ara?" ("How many seconds to run this path?") Convert time into minutes and seconds.

Talk about time in everyday situations. For example, when driving, ask, "If we left at 9.15am and arrived at 10.15am, how long was our trip?"

Kaupapa: Āhuahanga (geometry)#

By the end of Tau 6 at kura, mokopuna can describe and interpret positions, directions, and pathways using spatial language and coordinate systems.

They will draw maps of their route to kura. They will use grid references to identify regions and plot positions on a grid map and to interpret and describe pathways, including half and quarter turns and distance travelled.

Ideas for whānau activities#

Learn about maps

Have mokopuna draw the route they take to kura on a map. Ask them to include key landmarks and features along the way, then practise using grid references to describe the route. You can also play a game where they give directions to another whānau member to follow the route.

Or create a map with coordinates and geometric clues leading to a hidden treasure in your home or backyard.

Go on a walk around your neighbourhood and explore a local map together. Practise identifying different regions, streets, and paths using grid references. You could also use online maps to find your kura and explore different routes to get there.

Kaupapa: Tauanga (statistics)#

By the end of Tau 6 of kura, mokopuna can carry out meaningful pāngarau investigations for themselves, their whānau and kura.

Mokopuna will conduct investigations using the statistical enquiry cycle. They will:

• gather, sort, and display multivariate category and whole-number data and simple time-series data to pose and answer questions
• identify patterns and trends in context, within and between data sets
• communicate findings, using data displays.

Ideas for whānau activities#

Maramataka Māori

Learn about the maramataka Māori from your area, to determine the best times for fishing, planting, and harvesting.

Weather

Familiarise yourselves with weather forecasts and how these can accurately predict the weather.

Record data on a graph of the weather in your area over 24 hours, such as:

• wind speed, direction and strength
• swell size (size of the waves)
• sea level (tides) temperature, and rain or storm warnings
• check the maramataka Māori and lunar charts for that day
• with all the information you have learned and gathered, predict the best day to catch fish. If you can, go fishing!

Kaupapa: Tūponotanga (probability)#

By the end of Tau 6 of kura, mokopuna can use visual tools and data displays to represent and compare probabilities, supporting informed decision-making that enhances the wellbeing of whānau.

They will investigate chance situations with equally likely outcomes by:

• posing questions
• predicting results
• creating and interpreting visualisations
• modelling combined events
• identifying even relationships
• calculating probabilities to draw conclusions.

Ideas for whānau activities#

Whānau coin toss experiment

Have mokopuna conduct an experiment by tossing a coin multiple times (for example, 30 or 50 tosses). They can record the number of heads and tails, then compare their results with the expected probability (50% heads, 50% tails). Discuss why their experimental results might differ from expectations and what that tells them about chance and probability.

Survey whānau preferences

Ask whānau members questions like "What’s your favourite season?" or "What’s your favourite food?". Mokopuna can gather the answers, then create a bar chart or pie chart to display the data. Later, review the data displays and ask if there are any mistakes or misleading representations in how the data is shown. This can help them practise identifying errors in data displays.

Weather data collection

Over the course of a week, mokopuna can collect daily weather data (for example, temperature, wind speed, rainfall). They can create a line graph or bar chart to display the data. At the end of the week, they can compare their findings with the expected weather conditions. For example, is it warmer than usual for the season? They can discuss any differences.