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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. Ava's paper plane flew 63 cm. Kwame's flew 46 cm. How much further did Ava's plane fly? → 17Prompt: 'How much further' means find the difference.
  2. Ben's paper plane flew 50 cm. Daniel's flew 35 cm. How much further did Ben's plane fly? → 15Prompt: 'How much further' means find the difference.
  3. Hiro's paper plane flew 45 cm. Priya's flew 37 cm. How much further did Hiro's plane fly? → 8Prompt: '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. Elena joins a 46 cm strip of paper and a 18 cm strip end to end. How long is the new strip? → 64Prompt: End to end means add the lengths.
  2. Leo has a 59 cm piece of string and cuts off 41 cm. How long is the piece that is left? → 18Prompt: 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. Yuki has a 52 cm piece of string and cuts off 13 cm. How long is the piece that is left? → 39Prompt: Cutting off takes length away.
  2. Ines joins a 17 cm strip of paper and a 22 cm strip end to end. How long is the new strip? → 39Prompt: End to end means add the lengths.

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

    Last year Lucia was 93 cm tall. This year Lucia is 107 cm tall. How many centimetres did Lucia grow?

    Answer

  2. Question 2

    Kai has a 71 cm piece of string and cuts off 34 cm. How long is the piece that is left?

    Answer

  3. Question 3

    Chloe joins a 19 cm strip of paper and a 28 cm strip end to end. How long is the new strip?

    Answer

  4. Question 4

    Last year Liam was 44 in tall. This year Liam is 49 in tall. How many inches did Liam grow?

    Answer

  5. Question 5

    Jamal has a 67 cm piece of string and cuts off 46 cm. How long is the piece that is left?

    Answer

  6. Question 6

    Mateo joins a 15 cm strip of paper and a 31 cm strip end to end. How long is the new strip?

    Answer

  7. Question 7

    Last year Noah was 106 cm tall. This year Noah is 121 cm tall. How many centimetres did Noah grow?

    Answer

  8. Question 8

    Ines has a 87 cm piece of string and cuts off 57 cm. How long is the piece that is left?

    Answer

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Answer key: Length story problems

  1. 1. 14

  2. 2. 37

  3. 3. 47

  4. 4. 5

  5. 5. 21

  6. 6. 46

  7. 7. 15

  8. 8. 30