Kaupapa: Tau (number)#

By the end of Tau 10, mokopuna can solve real-life problems. They will:

• solve discounts, currency conversions, and comparing prices using rates and proportions
• use whole numbers, decimals, fractions, percentages, and ratios
• convert between different forms (such as fractions to decimals), use scientific notation, round and estimate, and perform calculations involving positive and negative numbers.

Ideas for whānau activities#

Planning for kai

Talk to mokopuna about how your whānau decides what to spend on kai and how pāngarau can help us stay within a budget.

• How many people live in your whare? How often do you shop for kai, weekly, fortnightly or maybe as the need arises?
• How do you plan for manuhiri (if you do)?
• Use online supermarket shopping tools to help you find the best price for the kai you need for the week.

Everyone loves a sale

Discuss with mokopuna what additional items they may need for the upcoming term at kura. For example, a new pair of league boots, some swimming togs, boxing gloves or new headgear. Who has the best deal for the item or items you need? Say, "what you need costs $150? Which of the following promotions would give you the best deal?"

• A 30% off sale.
• A ‘buy 1, get 1 half price’ promotion.
• $10 off every $50 spent.

Should you spend or save, or can you do both?

Discuss with mokopuna how to manage their finances when they begin working. There are several online resources to help with this.

The Sorted in Schools website and the bite-sized learning activity 'Where is my money going?' is a good place to start. See their resources in te reo Māori.

Sorted in schools

Kaupapa: Taurangi (algebra)#

By the end of Tau 10, mokopuna can use algebra to solve for unknowns and to tidy up mathematical expressions, just like cleaning up and simplifying a recipe or a set of instructions handed down through generations. 

They're learning how patterns in pāngarau can be passed on, reused, and built upon, just like knowledge shared between whānau over time.

Mokopuna are deepening their understanding of patterns and relationships in numbers, especially how things grow or change over time. They learn to recognise and describe number sequences, create and use formulas, and draw graphs that show real-life relationships.

Ideas for whānau activities#

Whānau mastermind

Mokopuna make up codes for letters of the alphabet and use the code to write messages for whānau to decipher. Once you have your code, messages can be sent via text message, on social media or on paper.

String games

Whai or string games are present in our kōrero tuku iho, our traditional narratives. Mokopuna can create shapes and record the patterns or rules that follow to make those shapes. You may know whānau or kaiako who have knowledge of these games.

Treasure hunt

Mokopuna are tasked with writing a set of instructions for whānau to follow around the house to find the treasure, using structures like “Kia kite koe i te pukapuka whero, huri whakatemauī”, "When you see the red book, turn left” or “Ina kite ana koe i te koru, huri whakatematau”, “If you see a koru, turn right”, and so on until they find the taonga.

Kaupapa: Ine (measurement)#

By the end of Tau 10, mokopuna can estimate, calculate, and convert measurements accurately in real-life situations, such as switching between metres and kilometres, or grams and milligrams, using metric prefixes to help them.

They understand how to measure time in different ways, including parts of a second, and can use simple formulas to calculate how fast something is moving, how far it has travelled, or how long it takes.

They’re finding missing side lengths in right-angled triangles and learning how to calculate the surface area and volume of everyday 3D shapes, such as boxes, tubes, or cans.

Ideas for whānau activities#

Units of measurement

Discuss traditional units of measurement with mokopuna. If there are multiple generations in your whare, there should be awareness and knowledge of non-standard units of measurement. 

What units of measurement did te iwi Māori use? Where can you find references to these units? Can you find similarities and/or differences in other traditional units of measurement?

Scale

Mokopuna use a scale to draw the floor plan of your whānau home. They can map this out on large or small paper, and include key elements such as the:

• scale used, for example, 1 cm = 2 m
• colour coding rooms
• potential changes such as using rooms for different purposes, for example “If big sister goes flatting.”

Build a tent

Work together with mokopuna to build a model of a tent using items from around your home, such as toothpicks, skewers, a paper towel, wool, string, and glue. 

You can look up the tent size you need online and then use a scale to figure out the measurements of the model.

Kaupapa: Āhuahanga (geometry)#

By the end of Tau 10, mokopuna can work with shapes that are the same in shape but different in size using similarity to find missing side lengths or angles, especially in right-angled triangles. They use rules about angles to figure out unknown values, such as when lines are parallel or when shapes like triangles and polygons are involved.

They can calculate the angles inside and outside of shapes (interior and exterior angles), and they know how to scale 2D shapes up or down using a scale factor, which helps them understand how designs, patterns, and spaces can grow or shrink while maintaining their shape.

Ideas for whānau activities#

Mū tōrere

Mokopuna make their own Mū tōrere game board for their whare. You can find the instructions on how to play online. There are shapes and lines of symmetry to recognise, and the movement along the lines dictates how each player moves.

An outdoor space

Mokopuna may be asked to design an outdoor space using geometrical ideas from te ao Māori to guide their choices.

How does balance and symmetry fit into the design? What shapes in our natural environment could be reflected in the space? What structures promote te ao Māori?

Think about the design used at marae and kura that your whānau know.

House of angles

Mokopuna go on an angle hunt at home, at kura, or in another space they enjoy. Photograph or sketch different angles and label them (acute, obtuse, right).

In addition, they might discuss how useful or not those spaces are based on the designs they identify, for example, for placing furniture, storage, plants, and so on.

Kaupapa: Tauanga (statistics)#

By the end of Tau 10, mokopuna can investigate real-world questions using data with multiple variables. They plan their investigations by deciding what they want to find out, what data they need, and how to collect it fairly and accurately.

They make predictions, then gather and organise the data, making sure it’s valid and makes sense. Mokopuna also learn to think critically about other people’s investigations, checking if the data is fair, if the graphs are clear, and whether the conclusions really match the evidence.

Ideas for whānau activities#

Ngā mata o Hina

Mokopuna develop their own maramataka for their whānau. They can start by choosing a focus group, for example 1 or 2 whānau members or friends, and then record behaviours and patterns over a full lunar cycle. They should be able to recognise patterns as they occur from their data and start to write up what a lunar cycle looks like in your whare.

Graphing data

Mokopuna graph the results from the ‘Ngā mata o Hina’ activity above and compare across days or whānau members. They might discuss or present any trends that they identify or make suggestions about the strengths of different approaches of whānau members.

Pick a problem

Mokopuna use a version of a statistical enquiry cycle to take a problem through the process to find a solution. The enquiry might centre on a social, cultural, or political trend, such as homelessness, the decline and growth of te reo Māori, or voting results in local body or nationwide elections.

Kaupapa: Tūponotanga (probability)#

By the end of Tau 10, mokopuna can explore probability by asking questions like “What’s the chance of rolling a 6?” They list all possible outcomes, make a prediction about what should happen, then plan and carry out experiments using tools like dice, coins, or digital simulators.

They record and graph their results to see what actually happened and compare this to what they expected. Mokopuna learn to reflect on why outcomes might differ and whether their predictions were accurate, growing their understanding of how probability works in real life.

Ideas for whānau activities#

Lunar predictions

Mokopuna might use the information and data collected in the activity ‘Ngā mata o Hina’ and make predictions about what behaviours and attitudes they may see from the same focus groups in the next lunar cycle.

Game night odds

Mokopuna choose a favourite board game or card game to explore probability. They make predictions about outcomes and test them. These are hands-on activities that can give them time out from being online, while learning in a fun way.

What’s possible and what’s likely?

Mokopuna discuss the difference between something being possible and something being likely using their daily routines as a starting point. The examples could be everyday activities, such as catching a bus or train to school, predicting the weather, or predicting the outcome of a sports game.