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Math lesson plan · 4th grade (Year 5 in England) · 45 minutes

Convert metric lengths: km, m, cm and mm

Measurement

CCSS 4.MD.A.1England: Y5 Measurement

Objective and success criteria

Students will: Convert metric lengths: km, m, cm and mm.

  • 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: Millimetres, centimetres and metres; Convert units of length, mass, capacity and time

Leads to: Approximate conversions between miles and kilometres

Materials: Rulers, scales and measuring jugs, Clock faces, Conversion chart, Mini whiteboards and pens, Printed student sheet (below).

Warm-up · 5 min

  • Quick retrieval from earlier learning (Millimetres, centimetres and metres; Convert units of length, mass, capacity and time). Students answer on mini whiteboards.
  • Show answers together and note who needs support in the main task.
  1. 7 cm = ? mm → 70Prompt: 1 cm = 10 mm and 1 m = 100 cm.
  2. 12 minutes = how many seconds? → 720Prompt: 1 minute = 60 seconds.
  3. A young tree is 2 m 54 cm tall. How tall is it in centimetres? → 254Prompt: 1 m = 100 cm.

Hook · 5 min

  • Ask the class to estimate the length of the room or the weight of a bag before measuring it.
  • Share the objective: Convert metric lengths: km, m, cm and mm. 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: Write 3 km 822 m in metres.
  • Step 1: 3 × 1000 + 822 = 3822
  • Step 2: 3822 m
  • Answer: 3822
  • 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.
  1. Write 3 km 312 m in metres. → 3312Prompt: 1 km = 1000 m.
  2. 31000 m = ? km → 31Prompt: A kilometre is 1000 m; a metre is 100 cm or 1000 mm.

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.
  1. Write 5 km 963 m in metres. → 5963Prompt: 1 km = 1000 m.
  2. 33 km = ? m → 33000Prompt: A kilometre is 1000 m; a metre is 100 cm or 1000 mm.

Watch out for

  • Measuring from the end of the ruler instead of zero.
  • Converting units the wrong way (multiplying instead of dividing).

Support and stretch

Support

  • Review first: Millimetres, centimetres and metres.
  • Use concrete materials: rulers, scales and measuring jugs.
  • 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: Approximate conversions between miles and kilometres.
  • 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-4.

Free lesson plan from eurekami.com/lesson-plan-builder

eurekami

Convert metric lengths: km, m, cm and mm

Name

Date

Score/ 8

  1. Question 1

    5 km = ? m

    Answer

  2. Question 2

    Write 9 km 709 m in metres.

    Answer

  3. Question 3

    Ethan runs 6 laps of a 400 m track. How far is that in kilometres and metres? Give the total in metres.

    Answer

  4. Question 4

    29 km = ? m

    Answer

  5. Question 5

    Write 5 km 278 m in metres.

    Answer

  6. Question 6

    Daniel runs 4 laps of a 500 m track. How far is that in kilometres and metres? Give the total in metres.

    Answer

  7. Question 7

    31 m = ? mm

    Answer

  8. Question 8

    Write 5 km 470 m in metres.

    Answer

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Answer key: Convert metric lengths: km, m, cm and mm

  1. 1. 5000

  2. 2. 9709

  3. 3. 2400

  4. 4. 29000

  5. 5. 5278

  6. 6. 2000

  7. 7. 31000

  8. 8. 5470