Math lesson plan · 6th grade (Year 7 in England) · 45 minutes
Compare integers, including two negatives
Number sense
CCSS 6.NS.C.7.ACCSS 6.NS.C.7.BEngland: KS3 Number
Objective and success criteria
Students will: Compare integers, including two negatives.
- 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: Read and place integers on a number line
Leads to: Put integers in order; Work with absolute value
Materials: Place value chart, Base-ten blocks or a number line, Mini whiteboards and pens, Printed student sheet (below).
Warm-up · 5 min
- Quick retrieval from earlier learning (Read and place integers on a number line). Students answer on mini whiteboards.
- Show answers together and note who needs support in the main task.
Hook · 5 min
- Show a number in the news or a price tag and ask what each digit is worth.
- Share the objective: Compare integers, including two negatives. Read the success criteria together.
I do: model it · 10 min
- Work through the example out loud, saying why you do each step, not just what you do.
- Example: Choose the sign: −12 __ −1
- Step 1: −12 < −1
- Answer: <
- Pause after each step and ask a student to say what comes next.
We do: guided practice · 10 min
- Do these together. Students try each step on whiteboards before you reveal it.
- Use the hints as prompts rather than giving the answer.
- Choose the sign: −5 __ −20 (< / >) → >Prompt: Both numbers are negative. Which one is further left on the number line?
- It is −6 °C in a polar research station and −3 °C in a freezer. Which is colder? (a polar research station / a freezer) → a polar research stationPrompt: Colder means a lower temperature.
You do: independent practice · 10 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 · 5 min
- Two questions on their own. Sort answers into got it / nearly / not yet to plan the next lesson.
- Ana writes: −6 < −7. Is Ana right? (Yes, it is true / No, it is false) → No, it is falsePrompt: Picture both numbers on a number line.
- Choose the sign: −14 __ −23 (< / >) → >Prompt: Both numbers are negative. Which one is further left on the number line?
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: Read and place integers on a number line.
- 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: Put integers in order; Work with absolute value.
- 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-6.
Free lesson plan from eurekami.com/lesson-plan-builder