Math lesson plan · 5th grade (Year 6 in England) · 45 minutes
Value of a digit in decimals to thousandths
Decimals and percentages
CCSS 5.NBT.A.1CCSS 5.NBT.A.3.AEngland: Y6 Fractions (including decimals)
Objective and success criteria
Students will: Value of a digit in decimals to thousandths.
- 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: Decimals to thousandths; Value of digits in tenths and hundredths
Leads to: Compare decimals to thousandths
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 (Decimals to thousandths; Value of digits in tenths and hundredths). Students answer on mini whiteboards.
- Show answers together and note who needs support in the main task.
- Write 736/1000 as a decimal. → 0.736Prompt: Thousandths need three decimal places.
- In 7.91, which place is the digit 7 in? (ones / tenths / hundredths) → onesPrompt: Places after the decimal point: tenths, then hundredths.
- Write as one decimal: 9 + 0.8 + 0.05 + 0.005 → 9.855Prompt: Each part gives the digit in one place.
Hook · 5 min
- Show two prices or race times with decimals and ask which is bigger, then why.
- Share the objective: Value of a digit in decimals to thousandths. 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 the value of the digit 7 in 8.837?
- Step 1: It is in the thousandths place.
- Step 2: 0.007
- Answer: 0.007
- 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 the value of the digit 7 in 2.677? → 0.007Prompt: After the decimal point: tenths, hundredths, thousandths.
- In 8.375, which digit is in the tenths place? → 3Prompt: Count places to the right of the decimal point.
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.
- What is the value of the digit 4 in 1.174? → 0.004Prompt: After the decimal point: tenths, hundredths, thousandths.
- Write as one decimal: 0.008 + 0.03 + 5 + 0.9 → 5.938Prompt: Put each part in its place: ones, tenths, hundredths, thousandths.
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: Decimals to thousandths.
- 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: Compare decimals to thousandths.
- 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