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Understanding Integers

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Understanding Integers

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📚 Part 1: Quick Check — Identifying & Ordering

1. Which of the following is NOT an integer?

-3

0

2.5

7

2. What is the opposite (additive inverse) of -7?

-7

0

7

1/7

3. Check all statements that are true about integers:

Every negative integer has a positive opposite.

Integers can include fractions.

Zero is an integer.

Integers include only numbers greater than zero.

4. Order these integers from smallest to largest: 3, -1, -6, 0, 5

✏️ Part 2: Representing & Calculating

5. Using integer chips (black = +1, red = -1): Model 4 + (-6). What is the result? Show working.
6. Use a number line to calculate: -3 - (-8). Show your jumps and final answer.
7. Real-life context: The temperature was -5°C at 6am. By midday it rose by 12°C. What is the temperature at midday?
8. Compare and explain: Which is greater, -2 or -15? Write a one-sentence explanation using the words "greater" or "less than".

🔎 Reflection, Success Criteria & Differentiation

Success criteria — tick when you can:

- I can place positive, negative and zero correctly on a number line.

- I can explain opposites and why a number plus its opposite equals zero.

- I can add and subtract integers using integer chips or a number line and justify my method.

Differentiation strategies (teacher support you might use):

- For students needing more support: use a number line with labelled points and give smaller-magnitude problems (e.g. within ±5); provide sentence starters such as "The opposite of ... is ... because ...".

- For visual/kinaesthetic learners: work with integer chips in pairs and act out jumps on a floor number line.

Extension activities (for advanced learners):

- Explain why adding a number and its opposite always gives zero and show this with an algebraic expression (e.g. a + (−a) = 0).

- Challenge: Solve and explain the sign of the answer for (-3) + 8 + (-10) without using chips or a number line.

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