🧺 Te Kete Ako

Te Reo Maths Glossary - Bilingual Mathematical Terms - Te Kete Ako

Te Reo Maths Glossary - Bilingual Mathematical Terms - Te Kete Ako · Years 7–10

Year LevelYears 7–10
TypeStudent handout — classroom resource

Ngā Whāinga Akoranga · Learning Intentions

  • Understand and apply key concepts from te ao Māori to learning and life
  • Engage with te reo Māori vocabulary and cultural frameworks with accuracy and respect
  • Connect Māori values and concepts to contemporary issues and personal identity
  • Recognise the significance of Māori cultural knowledge as a living, relevant system

Paearu Angitu · Success Criteria

  • I can explain at least three te ao Māori concepts accurately in my own words
  • I use te reo Māori vocabulary with correct meaning and appropriate context
  • I can connect a Māori concept to a real contemporary situation or personal experience
  • My engagement with this material demonstrates genuine curiosity and cultural respect

Te Reo Maths Glossary

Kuputaka Pāngarau - Mathematical Terms in Te Reo Māori

Te Kete Ako | Mathematics | Years 7-13 | Alpha Build Resource

Supporting bilingual mathematical learning and cultural identity

🌟 Cultural Context - Te Taiao Pāngarau (Mathematical Environment)

This glossary honours the rich mathematical traditions within Te Ao Māori while supporting students to engage with mathematical concepts in both English and Te Reo Māori. Mathematics exists in all cultures - from traditional navigation (kaitiaki moana) to architectural patterns in wharenui.

Usage Protocol: These terms should be used respectfully and accurately. When in doubt about pronunciation or cultural context, consult with Te Reo Māori speakers or cultural advisors.

🔍 Search Terms - Rapu Kupu

How to Use This Glossary:
  • For Students: Use these terms to build mathematical vocabulary in both languages
  • For Teachers: Incorporate Te Reo mathematical terms to support Māori-medium learners
  • For Whānau: Help support mathematical learning at home in your preferred language
  • Pronunciation: Listen to fluent Te Reo speakers when possible for accurate pronunciation

Basic Operations - Mahi Taketake Years 7-8

Addition
Tāpiri
(TAH-pee-ree)
The mathematical operation of combining two or more numbers
Example: 5 + 3 = 8
Tāpiri: rima me toru, kotahi tekau mā waru
Subtraction
Tango
(TAHN-goh)
The mathematical operation of taking away one number from another
Example: 10 - 4 = 6
Tango: kotahi tekau, tango whā, ono
Multiplication
Whakarea
(fah-kah-REH-ah)
The mathematical operation of repeated addition
Example: 4 × 3 = 12
Whakarea: whā whakarea e toru, kotahi tekau mā rua
Division
Whakawehe
(fah-kah-WEH-heh)
The mathematical operation of splitting into equal parts
Example: 15 ÷ 3 = 5
Whakawehe: kotahi tekau mā rima whakawehe e toru, rima

Numbers - Tau Years 7-9

Fraction
Hautanga
(HAU-tahn-gah)
A number representing part of a whole
Example: ½ = hautanga hawhe (half)
Decimal
Ira ā-ira
(EE-rah AH ee-rah)
Numbers expressed using a decimal point
Example: 3.5 = toru ira ā-ira rima
Percentage
Ōrau
(OH-rah-oo)
A proportion expressed as parts per hundred
Example: 75% = whitu tekau mā rima ōrau
Integer
Tau tōpū
(TAU toh-POO)
Whole numbers including negative numbers
Example: -3, 0, 5 are all tau tōpū

Geometry - Ahupūngao Years 8-10

Triangle
Tapatoru
(tah-pah-TOH-roo)
A polygon with three sides and three angles
Example: Traditional Māori kites often use tapatoru shapes
Circle
Porohita
(poh-roh-HEE-tah)
A round shape where all points are equal distance from the centre
Example: The poi ball moves in a porohita path
Rectangle
Tapawhā roa
(tah-pah-FAH roh-ah)
A four-sided shape with opposite sides equal and parallel
Example: Many traditional woven panels show tapawhā roa
Angle
Koki
(KOH-kee)
The space between two lines that meet at a point
Example: The koki of a wharenui roof is carefully calculated

Measurement - Inenga Years 7-11

Length
Roa
(ROH-ah)
The measurement of how long something is
Example: Te roa o te waka - the length of the canoe
Area
Rahi
(RAH-hee)
The amount of space inside a 2D shape
Example: Te rahi o te māra - the area of the garden
Volume
Rōrahi
(roh-RAH-hee)
The amount of space inside a 3D object
Example: Te rōrahi o te wai - the volume of water
Weight
Taumaha
(TAU-mah-hah)
How heavy something is
Example: Te taumaha o te kūmara - the weight of the kūmara

Statistics - Tauanga Years 9-13

Data
Raraunga
(rah-rah-OO-ngah)
Information collected for analysis
Example: Raraunga about student achievement
Average/Mean
Toharite
(toh-hah-REE-teh)
The sum of values divided by the number of values
Example: Te toharite o ngā māka - the average of the marks
Graph
Kauwhata
(KAU-fah-tah)
A visual representation of data
Example: He kauwhata e whakaatu ana i ngā hua - a graph showing the results
Probability
Tūpono
(TOO-poh-noh)
The likelihood that something will happen
Example: Te tūpono o te ua - the probability of rain

Algebra - Ariā Years 9-13

Variable
Taupe
(TAU-peh)
A symbol (like x) that represents an unknown number
Example: Ki te x = 5, ka kitea te taupe
Equation
Whārite
(FAH-ree-teh)
A mathematical statement showing two expressions are equal
Example: 2x + 3 = 7 he whārite
Formula
Tawhā
(tah-FAH)
A mathematical rule or relationship
Example: Te tawhā mo te rahi: roa × whānui
Function
Taumahi
(TAU-mah-hee)
A relationship between input and output values
Example: f(x) = 2x he taumahi hoki

🏛️ Mathematical Connections in Te Ao Māori

Traditional Applications:

  • Navigation (Kaitiaki Moana): Complex calculations using stars, currents, and wind patterns
  • Architecture (Whare Whakatū): Precise geometric principles in wharenui construction
  • Weaving (Raranga): Mathematical patterns in kete, korowai, and tukutuku panels
  • Carving (Whakairo): Proportional relationships and symmetry in traditional designs
  • Agriculture (Ahuwhenua): Seasonal calculations and resource management
  • Astronomy (Kōkōrangi): Calendar systems and celestial mathematics

📚 Teacher Implementation Guide

Classroom Strategies:

  • Daily Practice: Use one Te Reo mathematical term each lesson
  • Visual Displays: Create bilingual mathematical word walls
  • Cultural Connections: Link mathematical concepts to Māori cultural practices
  • Student Voice: Encourage students to use both languages in mathematical discourse
  • Assessment: Accept mathematical solutions explained in either language

Supporting All Learners:

  • Te Reo Māori Speakers: Validate home language in mathematical contexts
  • English Language Learners: Use visual and contextual supports
  • Cultural Diversity: Encourage sharing of mathematical terms from all cultures
  • Special Needs: Adapt pronunciation guides and provide audio supports

Hononga Marautanga · Curriculum Alignment

Curriculum alignment for this handout has not yet been verified against the live curriculum statements. A generated placeholder that stood here was removed on 2026-08-29 because it matched no real statement.

Tuhia ōu whakaaro · Write Your Thoughts

Reflect on your learning. What was the most important idea? What question do you still have?

Aronga Mātauranga Māori

This resource engages directly with te ao Māori as its subject — the values, practices, language, and worldview that have sustained Māori communities across centuries of challenge and change. Mātauranga Māori is not a supplement to this learning: it is the source. Students approaching this material are invited to engage with it not as outside observers studying a foreign culture, but as people in relationship with a living knowledge tradition that shapes the place they live, the language they may speak, and the obligations they carry as tāngata o Aotearoa — people of this land. That relationship calls for care, curiosity, and respect for knowledge-holders who carry what no textbook can fully contain.

Ngā Rauemi Tautoko · Resources already provided

This handout is designed to be used alongside other resources in the same unit. This handout stands on its own; it is not part of a linked unit planner. All content is provided — no additional preparation is required to use this handout in your classroom.

Curriculum alignment