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Chapter Analysis
Beginner14 pages • EnglishQuick Summary
Chapter 7, titled 'Can You See the Pattern?', introduces students to the concept of patterns through a variety of examples such as turning motifs, number patterns, and magical squares and hexagons. It encourages children to explore and identify patterns around them by observing both visual and numeric sequences. The chapter integrates hands-on activities and problems to promote critical thinking and understanding of how patterns are formed and can be predicted.
Key Topics
- •Pattern recognition
- •Clockwise and anticlockwise turns
- •Magic squares
- •Magic hexagons
- •Number sequences
- •Palindromic patterns
- •Calendar magic
Learning Objectives
- ✓Identify and extend visual and numeric patterns.
- ✓Utilize arithmetic operations to create patterns.
- ✓Understand the concept of magic squares and their properties.
- ✓Recognize palindromic sequences in numbers.
- ✓Develop critical thinking by inferring rules from pattern observations.
- ✓Enhance problem-solving skills using hands-on pattern exercises.
Questions in Chapter
What should come next? Fill in the pattern using a 45-degree turn rule.
Page 100
For each pattern, write the rule and choose what comes next.
Page 101
Fill this square using all the numbers from 21 to 29. Rule: The total of each side is 75.
Page 103
Use the same rule to fill the hexagons. You get the number in each box by multiplying the numbers in the circles next to it.
Page 104
Write a set of clues for a secret number of your own and give it to a friend to guess your secret number.
Page 110
Additional Practice Questions
Create your own pattern with numbers and explain the rule of progression.
easyAnswer: One possible pattern is adding 4 to each consecutive number starting from 2: 2, 6, 10, 14... The rule is to add 4 to the previous number.
Design a pattern using a clockwise and anticlockwise turn. Describe the final figure.
mediumAnswer: Start with a square, give a quarter turn clockwise then one quarter turn anticlockwise alternately, leading to a star shape eventually.
Solve a magic square where the sum of each line is 180 using the numbers 60 to 68.
hardAnswer: Create a 3x3 magic square with numbers arranged so that each row, column, and diagonal sums up to 180 using only once: 63, 65, 68, 64, 60, 56, 53, 66, 61.
Explain how to identify palindromic numbers in a set of 4-digit numbers.
mediumAnswer: Palindromic numbers have the property where they read the same forwards and backwards, e.g., 1221, 3443.
Develop a new number sequence using subtraction instead of addition and define its rule.
easyAnswer: Begin with 50, subtract 7 to get: 50, 43, 36, 29... The rule is to subtract 7 from the previous number.