📊 Part 1: Understanding Number Representations

1. Which of these shows the number 24 using an array?

6 × 4 = 24 (6 rows, 4 columns)

24 + 0 = 24

20 + 4 = 24

24 ÷ 1 = 24

2. Look at this number sentence: 8 × 5 = 40. Which annotations would help explain this representation? (Check all that apply)

"8 groups of 5"

"5 rows with 8 in each row"

"Total equals 40"

"8 plus 5 equals 13"

3. What is the best way to annotate a mathematical diagram?

Use lots of colours but no words

Write clear labels explaining what each part represents

Only write the final answer

Draw pictures without any explanations

4. A bakery has 36 muffins arranged in equal rows. Which representations could show this? (Check all that apply)

6 × 6 = 36 (6 rows, 6 muffins each)

4 × 9 = 36 (4 rows, 9 muffins each)

36 × 1 = 36 (1 long row)

2 × 18 = 36 (2 rows, 18 muffins each)

✏️ Part 2: Creating Annotations

5. The number 28 can be shown as 4 × 7. Draw an array in the box below and add annotations to explain your representation.

Write your annotations here:

6. A classroom has 45 students arranged in 5 equal groups. Complete the number sentence and write annotations to explain what each part means.

Number sentence: _____ × _____ = _____

7. Look at this real-life situation: "A gardener plants 72 flowers in 8 equal rows." Create two different number representations for this situation and annotate each one.

Representation 1:

Representation 2:

🔍 Part 3: Explaining Your Thinking

8. Choose a number between 20 and 50. Show this number using at least two different representations (arrays, number sentences, diagrams) and add clear annotations explaining your thinking.

My chosen number: _____

Explain why your annotations help others understand your number representations:

9. Reflection: How do annotations help you understand numbers better? Give an example from today's work.