Chapter 3: Patterns Around Us

Math • Class 4

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Chapter Analysis

Beginner6 pages • English

Quick Summary

Chapter 3, 'Patterns Around Us', introduces students to the concept of patterns through the use of everyday objects and activities. It emphasizes identifying and creating patterns using numbers, shapes, and objects. The chapter explores even and odd numbers, explains how patterns can help organize and understand information, and encourages students to find patterns in their environment. Exercises engage students through hands-on activities and problem-solving discussions.

Key Topics

  • Even numbers
  • Odd numbers
  • Patterns with numbers
  • Sequencing
  • Shape patterns
  • Visual patterns
  • Properties of multiplication
  • Grouping and pairs

Learning Objectives

  • Identify even and odd numbers
  • Create and recognize simple patterns
  • Understand and create sequences
  • Explore patterns in everyday environments
  • Use patterns to solve problems
  • Visualize mathematical concepts using patterns

Questions in Chapter

Shirley and Shiv arranged their coins in the following ways. Write the number of coins in the triangles.

Page 35

Describe Shiv’s arrangement and write his numbers.

Page 36

Identify numbers between 1 and 20 as even or odd.

Page 36

Circle the odd numbers and put a square around each even number.

Page 37

Shirley notices that both the numbers, before and after an odd number, are even. What do you think?

Page 38

Additional Practice Questions

Create a pattern with shapes that repeats every 4 steps and describe it.

easy

Answer: A simple pattern could be a triangle, circle, square, star, and then repeat. This teaches recognition of cyclic patterns.

Why are all numbers in the times-2 table even? Discuss the properties of multiplication.

medium

Answer: Multiplication of any number by 2 results in an even number because 2 is itself even, thus any multiple remains divisible by 2.

Find out the next five numbers in the sequence 2, 4, 6, 8, __.

easy

Answer: The next numbers are 10, 12, 14, 16, 18. The pattern increases by 2 each step.

Create your own sequence that alternates between increasing by 3 and decreasing by 1 starting from any number.

medium

Answer: Starting with 5: 5, 8, 7, 10, 9, 12, 11... The pattern follows increase by 3, then decrease by 1.

How do pairing objects and forming groups assist in learning division?

medium

Answer: Pairing objects in groups helps visualize division as it shows how a set can be divided into equal parts, aiding in understanding quotient and remainder.

Design a floor pattern using tiles of two colors such that no two tiles of the same color are adjacent.

hard

Answer: A checkerboard pattern with colors alternating, for example black and white, ensures that no two tiles of the same color touch.