Math lesson plan · 6th grade (Year 7 in England) · 60 minutes
Long division with a decimal answer
Decimals and percentages
CCSS 6.NS.B.2CCSS 6.NS.B.3England: KS3 Number
Objective and success criteria
Students will: Long division with a decimal answer.
- 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: Long division fluently
Leads to: the next skill in this area.
Materials: Place value chart with tenths and hundredths, Hundred squares, Number lines, Mini whiteboards and pens, Printed student sheet (below).
Warm-up · 6 min
- Quick retrieval from earlier learning (Long division fluently). Students answer on mini whiteboards.
- Show answers together and note who needs support in the main task.
- 10 296 ÷ 88 = ? → 117Prompt: Use long division: divide, multiply, subtract, bring down.
- Work out 2992 ÷ 40. Give an exact decimal answer. → 74.8Prompt: Divide to get the whole-number part, then continue past the decimal point by adding zeros.
- 9614 ÷ 22 = ? → 437Prompt: Use long division: divide, multiply, subtract, bring down.
Hook · 6 min
- Show two prices or race times with decimals and ask which is bigger, then why.
- Share the objective: Long division with a decimal answer. 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: Work out 131 ÷ 2. Give the exact decimal answer.
- Step 1: 131 ÷ 2 = 65 remainder 1
- Step 2: 1 ÷ 2 = 0.5
- Step 3: 131 ÷ 2 = 65.5
- Answer: 65.5
- 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.
- Work out 86 ÷ 8. Give the exact decimal answer. → 10.75Prompt: Divide as normal. When there is a remainder, write a decimal point and a 0.
- Mateo and friends share a bill of $44.51 equally between 4 people. How much does each person pay? Give the answer to the nearest cent. (Type the number only.) → 11.13Prompt: Divide 44.51 by 4.
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.
- Ines and friends share a bill of $14.01 equally between 4 people. How much does each person pay? Give the answer to the nearest cent. (Type the number only.) → 3.5Prompt: Divide 14.01 by 4.
- Work out 114 ÷ 8. Give the exact decimal answer. → 14.25Prompt: Divide as normal. When there is a remainder, write a decimal point and a 0.
Watch out for
- Thinking 0.45 is bigger than 0.5 because 45 is bigger than 5.
- Moving the digits the wrong way when multiplying or dividing by 10.
Support and stretch
Support
- Review first: Long division fluently.
- Use concrete materials: place value chart with tenths and hundredths.
- Give the first step of each question, or a partly worked example to finish.
- Pair with a confident partner for the guided practice.
Stretch
- 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