Subtraction Using Addition Facts (Fact Families Explained) | Year 3 Math Australia AC9M3A02

🎓 Year 3 (ACARA Code : AC9M3A02)
🎯Focus:
➕ Use addition facts to solve subtraction problems quickly and efficiently (fact families)
🔁 Understand the inverse relationship between addition and subtraction to check answers and build number confidence
🧠 Strengthen mental strategies by linking known facts (e.g. if 8 + 5 = 13, then 13 − 5 = 8)
🔍 Recognise patterns in fact families to improve speed, accuracy, and number sense

Video Lessons

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📹 Video Lesson Tips

🎥 Start with a real-life story or visual (e.g. “I had 12 apples, I gave away 5… how many left?”) to ground subtraction in context
➕ Show the matching addition fact first (e.g. 7 + 5 = 12) before moving to subtraction (12 − 5 = 7)
🔁 Explicitly highlight the “fact family triangle” so students see all 3 numbers working together
🧠 Use repeated modelling: solve 2–3 examples slowly, then gradually speed up to build fluency

💡 Key Ideas (Quick Guide)

✏️Addition and subtraction are inverse operations that “undo” each other
✏️ Every fact family has 3 numbers that can form both addition and subtraction equations
✏️Known addition facts can be used to quickly solve related subtraction problems
✏️Understanding relationships between numbers builds speed, accuracy, and number sense
✏️Flexible thinking helps students choose the easiest strategy instead of relying on counting every time

🧩 Mini Quiz – Quick Check

Try these after watching the video:

❓Question 1: 13 – 6 = ?
13
/ \
6 ?

✅ Answer: 7

❓Question 2: 10 – 4 = ?
10
/ \
4 ?

✅ Answer: 6

❓Question 3: If 9 + 5 = 14, then 14 – 9 = ?
14
/ \
9 ?

✅ Answer: 5

❓Question 4: 7+?=12

12 
/ \ 
7 ?

✅ Answer: 5

❓Question 5: 16-8=?
16
/ \
8 ?

✅ Answer: 8

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📄 Sample Worksheet Preview

Subtraction-Using-Addition-Facts-Fact-Families-Explained-AU-Year-3-Math-AC9M3A02

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📚 Other Lessons in This Unit

🚀 Learning Path (Recommended Order)

Step	🔗 Lesson	💡 What You Learn
1️⃣	🔢 Number Bonds and Partitioning – All ways to split a number	– Understand what partitioning numbers means and learn how number bonds work – Find all possible ways to split a number
2️⃣	✏️Subtraction Using Addition Facts (Fact Families Explained) ⭐ You are here⭐	-Use addition facts to solve subtraction problems quickly and efficiently (fact families)
3️⃣	🧩 Extending Addition and Subtraction to Larger Numbers	– Use known number facts to solve larger, unfamiliar calculations efficiently