Math lesson plan · 5th grade (Year 6 in England) · 45 minutes
Find 50%, 25%, 10% and 5% of an amount
Decimals and percentages
CCSS 6.RP.A.3.CEngland: Y6 Ratio and proportion
Objective and success criteria
Students will: Find 50%, 25%, 10% and 5% of an amount.
- 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: Match fractions, decimals and percentages; Fractions of an amount
Leads to: Interpret simple pie charts
Materials: Place value chart with tenths and hundredths, Hundred squares, Number lines, Mini whiteboards and pens, Printed student sheet (below).
Warm-up · 5 min
- Quick retrieval from earlier learning (Match fractions, decimals and percentages; Fractions of an amount). Students answer on mini whiteboards.
- Show answers together and note who needs support in the main task.
- Write 1/10 as a percentage. → 10Prompt: Make an equivalent fraction out of 100.
- What is 8/10 of 110? → 88Prompt: Find 1/10 first: divide by 10.
- Write 60% as a decimal. → 0.6Prompt: Per cent means hundredths.
Hook · 5 min
- Show two prices or race times with decimals and ask which is bigger, then why.
- Share the objective: Find 50%, 25%, 10% and 5% of an amount. 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: What is 25% of 760?
- Step 1: 760 ÷ 4 = 190
- Answer: 190
- 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.
- What is 25% of 800? → 200Prompt: 25% is one quarter.
- What is 40% of 240? → 96Prompt: Find 10% of 240 first.
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.
- A jacket costs $48. In a sale there is 10% off. How much is taken off the price? → 4.8Prompt: Find 10% of $48.
- What is 5% of 160? → 8Prompt: 5% is half of 10%.
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: Match fractions, decimals and percentages.
- 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
- Move on to: Interpret simple pie charts.
- 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