Math lesson plan · 7th grade (Year 8 in England) · 60 minutes
Subtract integers by adding the opposite
Number sense
CCSS 7.NS.A.1.CEngland: KS3 NumberEngland: GCSE Foundation Number
Objective and success criteria
Students will: Subtract integers by adding the opposite.
- I can answer questions on today's skill on my own, without help.
- I can explain each step and say why it works.
- I can check my answer and spot a mistake.
Before and after
Needs first: Add integers using sign rules
Leads to: Solve integer problems about temperature, height and money; Add and subtract negative decimals; Add and subtract negative fractions
Materials: Place value chart, Base-ten blocks or a number line, Mini whiteboards and pens, Printed student sheet (below).
Warm-up · 6 min
- Quick retrieval from earlier learning (Add integers using sign rules). Students answer on mini whiteboards.
- Show answers together and note who needs support in the main task.
- −34 + (−36) = ? → -70Prompt: Same signs: add the sizes and keep the sign.
- −18 + (−55) = ? → -73Prompt: Different signs: subtract the smaller size from the larger size.
- 20 + (−3) + (−18) + 15 = ? → 14Prompt: Add all the positives together and all the negatives together.
Hook · 6 min
- Show a number in the news or a price tag and ask what each digit is worth.
- Share the objective: Subtract integers by adding the opposite. Read the success criteria together.
I do: model it · 12 min
- Work through the example out loud, saying why you do each step, not just what you do.
- Example: −3 − (−11) = ?
- Step 1: −3 − (−11) = −3 + 11
- Step 2: = 8
- Answer: 8
- Pause after each step and ask a student to say what comes next.
We do: guided practice · 12 min
- Do these together. Students try each step on whiteboards before you reveal it.
- Use the hints as prompts rather than giving the answer.
- 8 − (−4) = ? → 12Prompt: Subtracting a negative is the same as adding a positive.
- −30 − 21 = ? → -51Prompt: Rewrite as −30 + (−21).
You do: independent practice · 17 min
- Students work on the student sheet. Circulate and check the first two answers of every student early.
- Students who finish: write a question of their own for a partner, with the answer.
The 8 questions are on the student sheet below, with answers in the key.
Exit ticket · 7 min
- Two questions on their own. Sort answers into got it / nearly / not yet to plan the next lesson.
- Ethan says −11 − (−13) = −24. What is the correct answer? → 2Prompt: Ethan treated “− (−13)” as adding −13.
- −34 − 16 = ? → -50Prompt: Rewrite as −34 + (−16).
Watch out for
- Reading 1,045 as one thousand four hundred five: point to each place and say its value.
- Thinking a longer number is always bigger, even with decimals (0.45 vs 0.5).
Support and stretch
Support
- Review first: Add integers using sign rules.
- Use concrete materials: place value chart.
- Give the first step of each question, or a partly worked example to finish.
- Pair with a confident partner for the guided practice.
Stretch
- Move on to: Solve integer problems about temperature, height and money; Add and subtract negative decimals; Add and subtract negative fractions.
- Explain a common mistake in writing and how to fix it.
- Write a word problem that uses today's skill, then solve a partner's.
Homework and more practice
Free online practice with hints and printable worksheets for this skill: eurekami.com/math/grade-7.
Free lesson plan from eurekami.com/lesson-plan-builder