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Home » Maths » Year 3 Maths (Aus Curriculum) » Year 3 Math AC9M3A01: Addition and Subtraction Inverse Operations » Inverse Operations in Year 3: Finding Unknown Numbers

Inverse Operations in Year 3: Finding Unknown Numbers

🎓 Year 3 (ACARA Code : AC9M3A01)
🎯Focus:
⭐ recognise addition and subtraction as opposite operations.
⭐ use subtraction to find a missing part in an addition sentence.
⭐ use addition to check a subtraction answer.
⭐ solve simple number sentences with an unknown value.
⭐ explain how inverse operations help find missing numbers.



Video Lessons


📹 Video Lesson Tips

  • Before
    • 🔢 Show a number sentence with a missing box.
    • 👀 Ask children what might be missing.
    • ✋ Revise add, subtract, total, and difference.
  • During
    • ➕ Show how addition and subtraction undo each other.
    • 🧠 Pause and let children solve the missing number.
    • ⭐ Use number lines, counters, or arrows to help.
  • After
    • 📝 Ask children to make their own missing-number sentence.
    • 🎨 Let them draw counters to check the answer.
    • 📣 Review the word inverse.


💡 Key Ideas (Quick Guide)

✏️ Inverse operations are opposites that help us solve missing numbers.

📌 Important words

  • Unknown = the missing number
  • Inverse = the opposite operation
  • Check = use the other operation to make sure the answer is right
  • Total = the answer in an addition sentence

➕➖ How it works

  • If a number is missing in addition, use subtraction.
  • If a number is missing in subtraction, use addition.
  • Use the known numbers to work out the missing one.

✨ Remember

🧠 Counters and number lines can help.
🧠 Addition and subtraction are linked.
🧠 You can solve and check your answers.


🧩 Mini Quiz – Quick Check

Try these after watching the video:

❓Question 1:What is a missing number called?

✅ Answer: Unknown

❓Question 2:Which operation is the opposite of addition?

✅ Answer: Subtraction

❓Question 3: If 7 + ? = 10, what can you do to find ?

✅ Answer: Subtract 7 from 10

❓Question 4: What can help you solve missing numbers?

✅ Answer: Counters

❓Question 5: What does “inverse” mean?

✅ Answer: Opposite

Scored:

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



📄 Sample Worksheet Preview

Addition-Subtraction-as-Inverse-Operations-Year-3-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 ModelsPractise partitioning numbers and learn reading bar models
2️⃣✏️Inverse Operations in Year 3: Finding Unknown Numbers
⭐ You are here⭐
Use 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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