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Home » Maths » Year 3 Maths (Aus Curriculum) » Year 3 Math AC9M3A01: Addition and Subtraction Inverse Operations » Year 3 Maths: Partitioning Numbers, Part-Part-Whole and Bar Models

Year 3 Maths: Partitioning Numbers, Part-Part-Whole and Bar Models

🎓 Year 3 (ACARA Code : AC9M3A01)
🎯Focus:
🧩 split a whole number into smaller parts
➕ put the parts back together to make the whole
📊 use part–part–whole diagrams to show number parts
🟦 use bar models to see number stories clearly
⚡ use quick number ideas to help with addition and subtraction



Video Lessons


📹 Video Lesson Tips

Before You Watch 👀

  • 🧠 Get ready to spot a whole and its parts
  • ✏️ Grab a pencil and paper for quick doodles
  • 🔢 Warm up by saying a few number pairs like 5 and 3 make 8
  • 📊 Copy the part–part–whole circles or bar models
  • 🙋 Try each example before the answer appears
  • 🎉 Try the mini quiz below to test your brain power
  • ✍️ Make your own number model with a new number
  • 🧠 Tell someone how the parts join to make the whole


💡 Key Ideas (Quick Guide)

🧩 If the whole is 10, the parts could be 6 and 4
🧩 If the whole is 12, the parts could be 7 and 5
🧩 There can be different part pairs for the same whole

Why Bar Models Help 📊

✏️ They are great for checking your thinking
👀 They make number stories easy to see
🧠 They help your brain organise numbers


🧩 Mini Quiz – Quick Check

Try these after watching the video:

❓Question 1:If the whole is 12 and one part is 7, what is the missing part?

✅ Answer: 5

❓Question 2: What does a bar model help you see?

✅ Answer: Number parts and the whole

❓Question 3: If the whole is 15 and one part is 10, the missing part is:

✅ Answer: 5

❓Question 4: A whole number is shown in a part-part-whole model. One part is 30 and the other part is 25. What is the whole?

✅ Answer: 5

❓Question 5: A part-part-whole diagram shows a whole of 67. One part is 20. What is the other part?

✅ Answer: 47

Scored:

5/5 💯 = Champion!
3–4/5 🌟 = Great Work!
0–2/5 🔄 = Watch the video again!



📄 Sample Worksheet Preview

Partitioning-Numbers-Part–Part–Whole-Bar-Models-AC9M3A01

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📚 Other Lessons in This Unit

🚀 Learning Path (Recommended Order)

Step🔗 Lesson💡 What You Learn
1️⃣🔢Partitioning Numbers, Part-Part-Whole and Bar Models
⭐ You are here⭐
Practise partitioning numbers and learn reading bar models
2️⃣✏️Inverse Operations in Year 3: Finding Unknown NumbersUse fact families to find unknown numbers in equations and check answers by working backwards.
3️⃣🧩 Inverse Operations: Connecting Addition and SubtractionDeepen their understanding of inverse operations by connecting mental addition and subtraction

↩️ Back to Addition & Subtraction Inverse Operations

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