Math lesson plan · 5th grade (Year 6 in England) · 60 minutes
Decimal addition and subtraction in real life
Decimals and percentages
CCSS 5.NBT.B.7England: Y6 Fractions (including decimals)
Objective and success criteria
Students will: Decimal addition and subtraction in real life.
- 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 and subtract decimals with different numbers of places
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 (Add and subtract decimals with different numbers of places). Students answer on mini whiteboards.
- Show answers together and note who needs support in the main task.
- 35.2 + 1.735 = ? → 36.935Prompt: Line up the decimal points, not the last digits.
- 9.80 − 6.9 = ? → 2.9Prompt: Write 6.9 as 6.90.
- Felix lined up the last digits to add 3.8 + 0.29 and got 0.67. What is the correct answer? → 4.09Prompt: Decimal points must line up.
Hook · 6 min
- Show two prices or race times with decimals and ask which is bigger, then why.
- Share the objective: Decimal addition and subtraction in real life. 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: Nia was 1.35 m tall last year and has grown 0.37 m. How tall is Nia now, in metres?
- Step 1: 1.35 + 0.37 = 1.72
- Answer: 1.72
- 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.
- Noah was 1.20 m tall last year and has grown 0.14 m. How tall is Noah now, in metres? → 1.34Prompt: Add the two lengths.
- A jug holds 3.6 litres of lemonade. 0.5 litres and then 1.3 litres are poured out. How much is left? → 1.8Prompt: Add the amounts poured out.
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.
- In a 100 m race Diego ran 14.28 s and Grace ran 12.37 s. What was the difference between their times, in seconds? → 1.91Prompt: Subtract the smaller time from the larger.
- A jug holds 3.3 litres of lemonade. 0.8 litres and then 1.5 litres are poured out. How much is left? → 1Prompt: Add the amounts poured out.
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: Add and subtract decimals with different numbers of places.
- 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