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Math lesson plan · 2nd grade (Year 3 in England) · 60 minutes

Length story problems

Measurement

CCSS 2.MD.B.5England: Y2 MeasurementEngland: Y3 Measurement

Objective and success criteria

Students will: Length story problems.

  • 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: How much longer? Compare two lengths; Add two-digit numbers with regrouping

Leads to: Show length sums and differences on a number line

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 (How much longer? Compare two lengths; Add two-digit numbers with regrouping). Students answer on mini whiteboards.
  • Show answers together and note who needs support in the main task.
  1. Ravi's paper plane flew 47 cm. Omar's flew 34 cm. How much further did Ravi's plane fly? → 13Prompt: 'How much further' means find the difference.
  2. Aisha's paper plane flew 62 cm. Ava's flew 43 cm. How much further did Aisha's plane fly? → 19Prompt: 'How much further' means find the difference.
  3. Kai's paper plane flew 50 cm. Leo's flew 15 cm. How much further did Kai's plane fly? → 35Prompt: 'How much further' means find the difference.

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: Length story problems. 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: Aisha joins a 19 cm strip of paper and a 22 cm strip end to end. How long is the new strip?
  • Step 1: 19 + 22 = 41
  • Step 2: 41 cm
  • Answer: 41
  • 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. Arjun joins a 48 cm strip of paper and a 41 cm strip end to end. How long is the new strip? → 89Prompt: End to end means add the lengths.
  2. Mei has a 79 cm piece of string and cuts off 41 cm. How long is the piece that is left? → 38Prompt: Cutting off takes length away.

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. Kai has a 84 cm piece of string and cuts off 33 cm. How long is the piece that is left? → 51Prompt: Cutting off takes length away.
  2. Last year Ana was 109 cm tall. This year Ana is 117 cm tall. How many centimetres did Ana grow? → 8Prompt: Find the difference between the two heights.

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: How much longer? Compare two lengths.
  • 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: Show length sums and differences on a number line.
  • 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-2.

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

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Length story problems

Name

Date

Score/ 8

  1. Question 1

    Mei joins a 43 cm strip of paper and a 29 cm strip end to end. How long is the new strip?

    Answer

  2. Question 2

    Maya has a 78 cm piece of string and cuts off 61 cm. How long is the piece that is left?

    Answer

  3. Question 3

    Last year Felix was 44 in tall. This year Felix is 46 in tall. How many inches did Felix grow?

    Answer

  4. Question 4

    Elena joins a 34 cm strip of paper and a 20 cm strip end to end. How long is the new strip?

    Answer

  5. Question 5

    Ana has a 82 cm piece of string and cuts off 25 cm. How long is the piece that is left?

    Answer

  6. Question 6

    Last year Zara was 93 cm tall. This year Zara is 98 cm tall. How many centimetres did Zara grow?

    Answer

  7. Question 7

    Liam joins a 35 cm strip of paper and a 29 cm strip end to end. How long is the new strip?

    Answer

  8. Question 8

    Grace has a 64 cm piece of string and cuts off 35 cm. How long is the piece that is left?

    Answer

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Answer key: Length story problems

  1. 1. 72

  2. 2. 17

  3. 3. 2

  4. 4. 54

  5. 5. 57

  6. 6. 5

  7. 7. 64

  8. 8. 29