Whenu: He Ākonga#

Mokopuna are learning Pāngarau in 4 different learning strands called ‘whenu’.

Find out more about whenu.

Pāngarau whenu

Kaupapa: Tau (number)#

By the end of Tau 8 at kura, mokopuna will be learning to understand that a variable can be used to represent any number. They will:

• identify, read, write, and represent fractions, decimals and percentages
• find a percentage of a number and find a whole amount when given a simple fraction or percentage – for example, "if 75% is $45, what is the total amount?"
• create and compare weekly, monthly and yearly finance plans – for example, saving plans, phone plans, budgets, and 'buy now, pay later' services – and apply percentage discounts
• calculate percentage discounts.

Ideas for whānau activities#

Budget

Give mokopuna a pretend budget of $100 to plan a whānau shopping trip. They must calculate costs, compare prices, and make sure they don’t go over the budgeted amount. As a challenge, add a discount (for example, 20% off 1 item) and ask them to calculate the new budget.

Roll the dice

Roll 2 dice, add the numbers, and write them down. First to 100 points wins! As a challenge, use subtraction, multiplication, or decimals for an extra twist.

The '24 game'

Write 4 numbers (for example, 3, 5, 7, 10) and then challenge your mokopuna to use addition, subtraction, multiplication, or division to make 24. For example: (7−3) × (10−5) = 24.

Whenu: He Uri Whakaheke#

Kaupapa: Taurangi (algebra)#

By the end of Tau 8 at kura, mokopuna will be learning to understand that common Māori design patterns and shapes are valued for their mātauranga Māori and explored for their mathematical properties. They will:

• determine if a pattern is linear and, if it is, write the equation for the pattern, and use the equation
• create, test, revise, and use algorithms to identify, interpret, and explain patterns.

Ideas for whānau activities#

Whānau mystery number

Assign each whānau member a number (for example, mum = 10, dad = 12, you = x). Make a statement like: "Mum’s age + your age = 22" (10 + x = 22). Solve for ‘x’ to find your "mystery" number.

Patterns

Show mokopuna traditional Māori patterns like tukutuku, koru, or pātiki (flounder pattern). Ask them to identify repeating sequences and determine if there is a linear pattern in the number of elements. If linear, they must write an equation (for example, if each row of a tukutuku panel adds 3 stitches, the equation could be y=3xy = 3xy=3x).

Show mokopuna a tāniko pattern and ask them to find repeating shapes and sequences. Have them count elements in each row and determine if there is a linear pattern. Ask them to write an equation to describe the pattern’s growth and use it to predict future rows.

He Whenu: He Uri Whakaheke#

Kaupapa: Ine (measurement)#

By the end of Tau 8 at kura, mokopuna will be learning about different types of graphs to show patterns trends and variations. They will learn how the same information presented in different types of graphs can provide different insights. They will:

• estimate and then measure length, area, volume, capacity, mass (weight), temperature, data storage, time and angles, and select the best tool and unit for the task
• find distance, given speed and time – or time, given distance and speed
• read, interpret, and use timetables, charts, and results that present information about time.

Ideas for whānau activities#

Measure data

Find how much data storage is being used on a whānau device. How much more can be used before it reaches capacity? How can data be backed up? Will whānau have to pay for extra data storage if it reaches capacity?

Organise time

Plan what proportion of their own, or their tuakana, teina, tuahine, or tungāne time should be spent on tasks, devices, or activities like: 

• mahi kāinga
• moe
• taputapu hangarau
• hākinakina
• kapa haka. 

Make sure there’s time left for relaxation, fun, and whānau.

Create a time chart

Look at a schedule for a community event and read the times for key activities like:

• karakia,
• whaikōrero
• workshops
• breaks
• meals
• farewells. 

Create a time chart to show how long each activity lasts. Then, answer questions like: 

• how much time is spent on each part of the event?
• how can we plan the schedule for meals and closing activities to make sure there’s enough time to travel home?

Whenu: He Uri Whakaheke#

Kaupapa: Āhuahanga (geometry)#

By the end of Tau 8 at kura, your mokopuna will be learning to understand that a variable can be used to represent any number. They will:

• use maps scales, compass points, distance and turn to interpret and communicate positions and pathways in coordinate systems and grid reference systems
• read and use maps by practising skills like understanding map scales (which convert distances on the map to real-world measurements), using compass directions (north, south, east, and west), measuring distances and describing turns (for example, left, right, quarter-turn).

Ideas for whānau activities#

Treasure hunt

Draw a map of your local area, including Māori place names. Add grid references (A1, B3) and compass directions. Create a treasure hunt where someone follows geometric clues to find a hidden treasure!

Matariki star

Use string or chalk to create a large Matariki star on the ground. Measure and compare angles in different star points. As a challenge, use compass directions (for example, north, east) to position the stars accurately.

Compass challenge

Teach mokopuna the basic compass directions – north (N), south (S), east (E), and west (W). z

Set up a challenge where mokopuna must move from 1 location on the map to another using a set of compass directions. For example, "move 2 blocks north, then turn right and move 3 blocks east". 

Ask them to describe the path they took using compass directions and distances.

Whenu: He Ākonga#

Kaupapa: Tauanga (statistics)#

By the end of Tau 8 at kura, mokopuna will be learning to understand that a variable can be used to represent any number.

Plan how to collect or source data to answer investigative questions, including:

• determining or identifying the variables needed
• how to measure them when collecting
• identifying the group of interest or who the data was collected from
• building awareness of the ethical practices in data collection through strategic questioning of data collection questions or data collection methods.

Ideas for whānau activities#

Waka ama race statistics

Watch or research waka ama. Record race times and calculate: 

• averages
• fastest times
• slowest times. 

Identify an individual paddler or team to track. Keep a record of their race times over 5 years at the national waka ama competition. Compare race times from different years to see if times are getting faster.

Find the best deal

Investigate which petrol station offers the best deal on petrol (for example, 6 cents off a litre). Identify the variables:

• different deals between stations
• day of the week.

Measure and track activities

Investigate a question like: 

• how much sleep do I get each night?
• How much game time do I get each night?

Identify the variables: 

• hours of sleep
• day of the week
• activities influencing sleep.

Plan how to collect the data. 

Keep a record of your sleep hours each night for 1 week. Identify the group of interest, such as yourself or members from your whānau. 

Discuss ethical practices such as:

• Are you honest about your sleep hours?
• How will you use the data?

Whenu: He Ākonga#

Kaupapa: Tūponotanga (probability)#

By the end of Tau 8 at kura, mokopuna will be learning to understand that data visualisations show patterns, trends, and variations and that alternative visualisations of the same data can lead to different insights and communicate different information.

Plan and carry out probability experiments using digital tools, by:

• posing questions about what might happen in chance situations (for example, "what’s the chance of rolling a 6 on a die?")
• think about all possible outcomes and which ones are more or less likely to happen
• keep track of the results from these experiments (like how often each outcome happens), create charts or graphs to show how the outcomes are spread out, and compare them with the expected outcomes (if there's a known model or rule)
• explain what the data shows and calculate the probability of each outcome
• use the data to answer the original investigative question by looking at how their results compare to those of others, checking if the conclusions others make are backed up by the data
• think about what happened in the experiment compared to what was expected.

Ideas for whānau activities#

Weather

Look at the 7-day weather forecast and predict how many sunny, rainy, or cloudy days there will be. Check each day and record the actual results. Compare the predicted probabilities with real outcomes.

Sport

Calculate the chance of your favourite team winning a tournament. Investigate how many points they need and work out what their competitors need as well.