Best for
Equal groups, repeated addition, arrays, skip-counting, and moving from known facts into new facts.
Pāngarau / Mathematics • Years 3-6 • Multiplicative thinking
Multiplication Tables
Use this handout to help ākonga build multiplication facts from equal groups, arrays, and patterns. The goal is not empty chanting alone, but noticing how one known fact helps unlock the next one.
Free fact-building scaffold, premium adaptation path
This page already gives arrays, strategy prompts, and write-on practice. Te Wānanga becomes useful when you want class-specific fact ladders, more visual support, or a game-based revision version.
- Generate junior fact-family pages or extension sheets for 6x to 12x facts.
- Swap in school, sport, or māra contexts while keeping the multiplicative structure clear.
- Save fact ladders in My Kete and refine them later in Creation Studio.
Kaiako planning snapshot
- Use length: 30-45 minutes.
- Grouping: Whole-class modelling, then pairs.
- Prep: Counters, linking cubes, or quickly sketched dot arrays.
- Teaching move: Keep asking “Which fact did you already know that helped?”
Resources already provided
- Array and group prompts
- Known-fact strategy ladder
- Fact-family practice table
- Reasoning space
- Teacher-only curriculum companion
If the lesson mentions arrays, repeated groups, or strategy-based table practice, that scaffold is already on this page.
Ngā Whāinga Akoranga / Learning Intentions
- We are learning how multiplication describes equal groups and arrays.
- We are learning how known facts can help us solve unknown facts.
- We are learning how to explain a multiplication strategy clearly.
Paearu Angitu / Success Criteria
- I can model a multiplication fact with an array or grouped set.
- I can use one known fact to find another fact.
- I can explain my strategy in words, numbers, or a sketch.
Curriculum integration / Te Mātaiaho alignment
The companion page links this handout to equal groups, multiplication and division as related operations, and using arrays and known facts to build fluency.
Why multiplication teaching matters
Multiplication is more than memorising tables. It is a way of seeing structure: equal rows, shared groups, repeated jumps, and efficient counting.
In Aotearoa classrooms, that structure can be grounded in real pattern and grouping contexts such as planting rows in a māra, seating, kapa haka formations, or game scoring. The key is to keep the mathematics visible, not hide it behind a story.
That can also be framed through whanaungatanga: students notice how organised groups relate to one another, and how one known fact can help a partner solve the next.
Four ways to think about a fact
Equal groups
4 groups of 6 means 6 + 6 + 6 + 6.
Array
4 rows of 6 shows the same total in a rectangle.
Skip-counting
Count in 6s: 6, 12, 18, 24.
Turn-around fact
4 × 6 gives the same total as 6 × 4.
Use a known fact
Use 5x facts
If you know 5 × 6 = 30, then 6 × 6 is one more group of 6, so 36.
Use doubles
If you know 4 × 7, then 8 × 7 is double that amount.
Use 10x facts
If you know 10 × 4 = 40, then 9 × 4 is one group of 4 less.
Use division to check
If 6 × 8 = 48, then 48 ÷ 8 = 6 and 48 ÷ 6 = 8.
Support, core, stretch
Support
Use counters or dot arrays and stay with 2x, 5x, and 10x facts first.
Core
Use known facts to solve 3x, 4x, 6x, and 8x facts and explain the strategy used.
Stretch
Show how one multiplication fact connects to a full fact family including division.
Fact ladder
| Unknown fact | Known fact I used | My strategy |
|---|---|---|
| 6 × 7 | ||
| 8 × 4 | ||
| 9 × 5 |
Sketch an array
Choose one multiplication fact and draw it as rows and columns. Label the rows, columns, and total.
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.
Aronga Mātauranga Māori
This resource sits within a kaupapa that recognises mātauranga Māori as a living knowledge system with its own frameworks, values, and ways of understanding the world. The New Zealand Curriculum calls for learning that reflects the bicultural partnership of Te Tiriti o Waitangi, which means every subject area has an obligation to engage authentically with Māori perspectives — not as cultural decoration but as substantive contributions to how we understand our topics. The concepts of manaakitanga (care for others), kaitiakitanga (guardianship), whanaungatanga (relationship and belonging), and tino rangatiratanga (self-determination) provide a values framework applicable across all learning areas, and all are relevant to the work in this handout.
Tuhia ōu whakaaro · Write Your Thoughts
Reflect on what you have learned today. What was the most important idea? What question do you still have?
Ngā Rauemi Tautoko · Support Materials
This handout is designed to be used alongside the broader unit resources available at Te Kete Ako handouts library. Related resources from the same unit are linked in the unit planner. All resources are provided — no additional preparation is required to use this handout in your classroom.