Year 3 Math Australia: Learn Arrays, Diagrams & Think Boards for Multiplication & Division

🎓 – Year 3 (ACARA Code : AC9M3N04)
🎯Focus: Learn how to visualise multiplication and division using arrays, diagrams, and Think Boards.
Develop Year 3 maths skills aligned with the Australian Curriculum (AC9M3N04).
Build confidence solving multiplication and division problems visually.
Understand multiplicative relationships in real-life problems

Video Lessons

📹 Video Lesson Tips

👉 Encourage students to write number sentences alongside the visuals for stronger understanding.
👉 Watch the 2-minute video lesson to see examples of arrays, diagrams, and Think Boards in action.
👉 Pause the video and draw your own arrays and diagrams while solving.
👉 Use real-life objects (buttons, coins, pencils) to make problems visual and interactive.

💡 Key Ideas (Quick Guide)

🔢 Arrays: Rows × Columns help visualise multiplication.
📊 Diagrams: Draw groups to solve sharing or division problems.
✍️ Think Boards: Combine arrays, diagrams, and number sentences to see multiple perspectives.
👀Using visual strategies helps connect abstract numbers to real-world problems.
👉 Example: 4 × 5 = 20 → Draw 4 rows of 5 dots → Write number sentence → Solve.

🧩 Mini Quiz – Quick Check

Try these after watching the video:

❓Question 1: Draw an array to show 6 × 4, then write the number sentence.

✅ Answer: Array (6 rows, 4 in each row):

● ● ● ●  
● ● ● ●  
● ● ● ●  
● ● ● ●  
● ● ● ●  
● ● ● ●

Number sentence:
6 × 4 = 24

❓Question 2: Solve 24 ÷ 6 using a diagram (groups)

✅ Answer: Make 6 equal groups from 24:

(● ● ● ●)  (● ● ● ●)  (● ● ● ●)  
(● ● ● ●)  (● ● ● ●)  (● ● ● ●)

Each group has 4.

Answer:
24 ÷ 6 = 4 (4 in each group)

❓Question 3: Think Board for 5 × 7

✅ Answer: Array (5 rows of 7):

● ● ● ● ● ● ●  
● ● ● ● ● ● ●  
● ● ● ● ● ● ●  
● ● ● ● ● ● ●  
● ● ● ● ● ● ●

Groups (diagram):
5 groups of 7
→ (●●●●●●●) × 5

Number sentence:
5 × 7 = 35

❓Question 4: Solve 16 ÷ 4 using array + diagram

✅ Answer: Array (split into 4 equal rows):

● ● ● ●  
● ● ● ●  
● ● ● ●  
● ● ● ●

Groups:

(● ● ● ●)  (● ● ● ●)  (● ● ● ●)  (● ● ● ●)

Answer:
16 ÷ 4 = 4

❓Question 5: Create a number sentence for: “3 baskets with 9 apples each.”

✅ Answer: 3 × 9 = 27

📄 Sample Worksheet Preview

Learn-Arrays-Diagrams-Think-Boards-for-Multiplication-Division-AC9M3N04-1

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📚 Other Lessons in This Unit

-📝Mastering Multiplication and Division with Number Sentences

– ✏️Solve Multiplication & Division Word Problems Easily

– 📚 Multiplication & Division Through First Nations Stories