Math lesson plan · 5th grade (Year 6 in England) · 30 minutes
Decimal multiplication and division problems
Decimals and percentages
CCSS 5.NBT.B.7England: Y6 Fractions (including decimals)
Objective and success criteria
Students will: Decimal multiplication and division problems.
- 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: Multiply a decimal by a whole number; Divide a decimal by a whole number
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 · 4 min
- Quick retrieval from earlier learning (Multiply a decimal by a whole number; Divide a decimal by a whole number). Students answer on mini whiteboards.
- Show answers together and note who needs support in the main task.
- 3.2 × 7 = ? → 22.4Prompt: Work out 32 × 7 first.
- 22.4 ÷ 4 = ? → 5.6Prompt: Divide as if it were a whole number.
- A bus ticket costs $9.63. Felix buys 7 tickets. What is the total cost? → 67.41Prompt: Multiply 9.63 by 7.
Hook · 3 min
- Show two prices or race times with decimals and ask which is bigger, then why.
- Share the objective: Decimal multiplication and division problems. Read the success criteria together.
I do: model it · 7 min
- Work through the example out loud, saying why you do each step, not just what you do.
- Example: Apples cost $4 per kilogram. How much do 0.4 kg cost?
- Step 1: 0.4 × 4 = 1.6
- Step 2: $1.60
- Answer: 1.6
- Pause after each step and ask a student to say what comes next.
We do: guided practice · 6 min
- Do these together. Students try each step on whiteboards before you reveal it.
- Use the hints as prompts rather than giving the answer.
- Apples cost $4 per kilogram. How much do 1.5 kg cost? → 6Prompt: Multiply 1.5 by 4.
- A 19.2 m plank is cut into 4 equal pieces. How long is each piece? → 4.8Prompt: Divide 19.2 by 4.
You do: independent practice · 7 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 6 questions are on the student sheet below, with answers in the key.
Exit ticket · 3 min
- Two questions on their own. Sort answers into got it / nearly / not yet to plan the next lesson.
- Apples cost $3 per kilogram. How much do 0.5 kg cost? → 1.5Prompt: Multiply 0.5 by 3.
- A 5.6 m plank is cut into 4 equal pieces. How long is each piece? → 1.4Prompt: Divide 5.6 by 4.
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: Multiply a decimal by a whole number.
- 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-5.
Free lesson plan from eurekami.com/lesson-plan-builder