Fact Families â Keeper Kits
Progression 2 (Years 3â4) Number | Building multiplication/division fact families to strengthen basic facts.
Learning Intentions & Success Criteria
Te MÄtaiaho: use place value to operate with whole numbers; connect Ă/Ă·
NZC L2â3: basic multiplication/division facts (2â10)
Key idea: facts live in families
Äkonga are learning to:
- Create fact families from a context or array.
- Use inverse relationships to solve division.
- Fluently recall 2, 5, 10, then 3, 4 facts.
Success looks like:
- I can write 4 facts from one array (2 Ă 5 = 10; 5 Ă 2 = 10; 10 Ă· 2 = 5; 10 Ă· 5 = 2).
- I can use a multiplication fact to solve a division quickly.
Teacher prompts
- âWhat are the four facts in this family?â
- âWhich fact helps you solve the division?â
- âShow the array that matches.â
Kupu / Vocabulary
- inverse / tauaro
- factor / tauwehe
- product / hua
- quotient / hua whakawehe
- divide / whakawehe
- family / whÄnau
Materials
- Triangle fact cards; array tiles; bar models.
- Context cards (kit items packed in equal groups).
- A5 Handout: Progression 2 core (facts) or generator âMultiplication/Division facts.â
Lesson Flow
Hook (5 mins)
- Keeper kits: 4 kits with 5 torches; how many torches? Build fact family.
Teach/Model (12 mins)
- Build array, write two Ă facts and two Ă· facts; highlight inverse.
- Do the same with 3Ă4; show bar model for division.
Guided Practice (15 mins)
- Station A: Array to fact family (2, 5, 10 then 3, 4, 12).
- Station B: Triangle cardsâfill missing numbers.
- Station C: Context cardsâwrite and solve fact family equations.
Independent/Extension (10â12 mins)
- Create 2 fact families of your own; include a division fact first.
- Extension: mix 6, 7, 8 facts; use doubling/halving strategies.
- Support: stick to 2, 5, 10; visual arrays provided.
Exit Check (5 mins)
- Fact family for 3Ă5; write all four equations.
Place-based options
- Zealandia/Tiritiri equipment kits; Hamilton Zoo keeper bags; Otago Peninsula trap sets.
Emphasize inverse thinking: every division fact is âundoingâ a multiplication. Keep arrays visible.
Differentiation & Support
Scaffolds
- Focus on 2, 5, 10 families first.
- Use triangle cards with one number missing.
- Keep arrays visible while writing facts.
Extensions
- Introduce 6, 7, 8 facts with doubling/halving.
- Create a fact family riddle for peers.
- Connect to division with remainders (conceptually only).
Common Misconceptions
- Swapping divisor and dividend. Remedy: label âtotalâ and âgroupsâ.
- Writing only the multiplication facts. Remedy: require both division facts.
- Confusing factor with product. Remedy: point to array dimensions.
Assessment & Evidence
- Exit fact family correctness; fluency with 2,5,10 and intro 3,4.
- Note if students reverse divisor/dividend; adjust support.
WhÄnau Connection
- Send home a fact-family card set for quick practice.
- Invite whÄnau to share a grouping task (packs of 5, 10).
Handout Link
Use Progression 2 core handout (facts) or generator âMultiplication/Division facts (2â10),â 24â28 items.