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Math lesson plan · 5th grade (Year 6 in England) · 60 minutes

Convert metric units with decimals

Measurement

CCSS 5.MD.A.1England: Y5 MeasurementEngland: Y6 Measurement

Objective and success criteria

Students will: Convert metric units with decimals.

  • 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: Convert units of length, mass, capacity and time; Multiply and divide by 10, 100, 1000

Leads to: Convert between metric and customary units; Convert area and volume units; Multi-step problems converting metric units

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

Warm-up · 6 min

  • Quick retrieval from earlier learning (Convert units of length, mass, capacity and time; Multiply and divide by 10, 100, 1000). Students answer on mini whiteboards.
  • Show answers together and note who needs support in the main task.
  1. 5 m = how many cm? → 500Prompt: 1 m = 100 cm.
  2. 53.3 ÷ 10 = ? → 5.33Prompt: Dividing by 10 moves every digit 1 place to the right.
  3. Write 5393 g in kg and g. How many whole kg? → 5Prompt: How many 1000s fit into 5393?

Hook · 6 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 units with decimals. 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: 5760 ml = how many l?
  • Step 1: 5760 ÷ 1000 = 5.76
  • Answer: 5.76
  • 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.
  1. 261 ml = how many l? → 0.261Prompt: 1 l = 1000 ml.
  2. Fatima runs 2 km and then walks 480 m. How far is that altogether, in metres? → 2480Prompt: Change both distances to the same unit first.

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.
  1. Kofi runs 2.3 km and then walks 833 m. How far is that altogether, in metres? → 3133Prompt: Change both distances to the same unit first.
  2. 5.8 kg = how many g? → 5800Prompt: 1 kg = 1000 g.

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: Convert units of length, mass, capacity and time.
  • 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: Convert between metric and customary units; Convert area and volume units; Multi-step problems converting metric units.
  • 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

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Convert metric units with decimals

Name

Date

Score/ 8

  1. Question 1

    Ethan runs 2.2 km and then walks 747 m. How far is that altogether, in metres?

    Answer

  2. Question 2

    7.8 kg = how many g?

    Answer

  3. Question 3

    Fatima runs 3.4 km and then walks 791 m. How far is that altogether, in metres?

    Answer

  4. Question 4

    2.7 kg = how many g?

    Answer

  5. Question 5

    Grace runs 3.4 km and then walks 670 m. How far is that altogether, in metres?

    Answer

  6. Question 6

    3021 cm = how many m?

    Answer

  7. Question 7

    Noah runs 2.2 km and then walks 403 m. How far is that altogether, in metres?

    Answer

  8. Question 8

    5829 cm = how many m?

    Answer

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Answer key: Convert metric units with decimals

  1. 1. 2947

  2. 2. 7800

  3. 3. 4191

  4. 4. 2700

  5. 5. 4070

  6. 6. 30.21

  7. 7. 2603

  8. 8. 58.29