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Math lesson plan · 5th grade (Year 6 in England) · 45 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 · 5 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. 6 kg = how many g? → 6000Prompt: 1 kg = 1000 g.
  2. 61.8 × 10 = ? → 618Prompt: Multiplying by 10 moves every digit 1 place to the left.
  3. Write 3199 g in kg and g. How many whole kg? → 3Prompt: How many 1000s fit into 3199?

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 units with decimals. 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: 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 · 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. 8.9 cm = how many mm? → 89Prompt: 1 cm = 10 mm.
  2. Mateo runs 3.3 km and then walks 791 m. How far is that altogether, in metres? → 4091Prompt: Change both distances to the same unit 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.
  1. 5.7 km = how many m? → 5700Prompt: 1 km = 1000 m.
  2. Ava runs 2.1 km and then walks 316 m. How far is that altogether, in metres? → 2416Prompt: Change both distances to the same unit first.

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

    Diego runs 3.2 km and then walks 586 m. How far is that altogether, in metres?

    Answer

  2. Question 2

    5.6 l = how many ml?

    Answer

  3. Question 3

    Liam runs 3.1 km and then walks 350 m. How far is that altogether, in metres?

    Answer

  4. Question 4

    4.6 cm = how many mm?

    Answer

  5. Question 5

    Liam runs 3 km and then walks 654 m. How far is that altogether, in metres?

    Answer

  6. Question 6

    4 cm = how many mm?

    Answer

  7. Question 7

    Luis runs 2.1 km and then walks 230 m. How far is that altogether, in metres?

    Answer

  8. Question 8

    8793 mm = how many cm?

    Answer

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Answer key: Convert metric units with decimals

  1. 1. 3786

  2. 2. 5600

  3. 3. 3450

  4. 4. 46

  5. 5. 3654

  6. 6. 40

  7. 7. 2330

  8. 8. 879.3