Chapter 5: Does It Look the Same?

Math • Class 5

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Chapter Analysis

Beginner16 pages • English

Quick Summary

The chapter 'Does It Look the Same?' explores concepts of symmetry and rotation in shapes and letters. Students learn to identify mirror halves, rotate shapes by specific turns, and determine visual symmetry. Activities guide learners to experiment with creating symmetrical patterns and understanding shapes that remain unchanged after different rotations.

Key Topics

  • Symmetry
  • Line of symmetry
  • Rotational symmetry
  • Mirror images
  • Half-turn
  • Quarter-turn
  • Creating patterns with symmetry
  • Real-world applications of symmetry

Learning Objectives

  • Identify lines of symmetry in various shapes and letters.
  • Understand the concept of rotational symmetry and its degrees.
  • Explore and create symmetric patterns as art activities.
  • Apply symmetry knowledge to solve practical and design problems.
  • Recognize symmetry in real-world contexts and objects.

Questions in Chapter

Look at the following shapes. Draw how they will look on a ½ turn and ¼ turn.

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Among the following shapes, find out which ones would look the same after a turn. Put a (✓). Put a (×) on the shapes that will not look the same after half a turn.

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Find out which letters in the English alphabet look the same after half a turn.

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Which of these English words reads the same on half a turn?

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Give half a turn to the numbers from 0 to 9. Find which of them still looks the same.

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Think of all 2, 3, and 4 digit numbers which look the same on half a turn.

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Additional Practice Questions

What is symmetry and how can it be identified in various shapes?

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Answer: Symmetry in shapes can be identified by seeing if a shape can be divided into two identical halves. These can be mirror images that perfectly overlap when folded along a line of symmetry.

How does a shape change when rotated by 90 degrees? Provide examples.

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Answer: When a shape is rotated by 90 degrees, it is turned a quarter turn around its center. For instance, a square will look the same after a 90-degree rotation, while an L-shaped figure will not.

Design an activity to create symmetrical art using paint and paper.

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Answer: Take a sheet of paper, fold it in half, apply a drop of paint on the fold, and press the sheet to spread the paint. Unfold to reveal a symmetric pattern. Discuss how folding created mirror-image halves.

Discuss how symmetry is used in real-world architecture.

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Answer: Symmetry is widely used in architecture for aesthetic and structural reasons. Many buildings have symmetrical fronts, where the left and right halves are mirror images. This can be seen in structures like the Taj Mahal.

Explain the significance of rotational symmetry in everyday objects.

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Answer: Rotational symmetry occurs when an object looks the same after a partial turn. Many tools and designs feature this symmetry for functionality and aesthetics, such as car tires or roundabout intersections.