CBSE Class 1 Mathematics Chapter 10 Patterns NCERT Solutions

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NCERT Solutions PDF Class 1 PDF

CBSE Class 1 Mathematics Chapter 10, "Patterns," introduces young learners to the exciting world of recognizing and continuing sequences. This chapter focuses on helping students develop their observation skills by identifying patterns in shapes, colors, and numbers. Through engaging examples and clear explanations, students will learn to understand the logic behind different types of patterns. The exercises are designed to build confidence as they practice predicting what comes next. These NCERT Solutions offer a fantastic way for students to revise and solidify their understanding of this foundational mathematical concept, making learning about patterns fun and accessible.

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Quick info

BoardCBSE
ClassClass 1
SubjectMathematics
Session2026
LanguageUrdu
TypeNCERT Solutions
ChapterChapter 10

Chapter summary

Chapter 10, "Patterns," focuses on developing a child's ability to observe, identify, and continue simple sequences. The NCERT Solutions cover various pattern types, such as visual patterns (shapes, symbols) and numerical patterns. The exercises are designed to be interactive and build foundational skills in logical reasoning and prediction, crucial for early mathematical development.

Learning outcomes

  • Understand the concept of patterns in sequences.
  • Identify different types of patterns (visual, numerical).
  • Extend given patterns by predicting the next elements.
  • Develop observational and logical thinking skills.

Topics covered

Paper topics

  • Introduction to Patterns
  • Visual Patterns
  • Shape Patterns
  • Symbol Patterns
  • Number Patterns
  • Extending Sequences
  • Identifying Repeating Units

Important topics

  • Identifying the rule of a pattern
  • Extending visual patterns
  • Extending numerical patterns
  • Understanding repeating sequences

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Questions and Solutions

Question 1

Extend the sequence:

▼ △ ▼ △

□□ ▣ □□ ▣

▼▼▼▼▼

Solution:

To extend the sequence, we first need to identify the pattern in each given line.

  1. The first sequence is ▼ △ ▼ △. The pattern here is an alternating sequence of a downward triangle (▼) and an upward triangle (△). So, the next symbol in this sequence would be ▼. The extended sequence is: ▼ △ ▼ △ ▼
  2. The second sequence is □□ ▣ □□ ▣. The pattern here is repeating the group 'two squares (□□) followed by one triangle (▣)'. So, the next group in this sequence would be □□. The extended sequence is: □□ ▣ □□ ▣ □□
  3. The third sequence is ▼▼▼▼▼. This sequence consists of only downward triangles (▼). To extend it, we simply add more downward triangles. The extended sequence is: ▼▼▼▼▼ ▼▼▼

By observing the repeating elements, we can successfully extend each pattern.

Question 2

What comes next in the sequence?

▼ △ ▼ △ ▼ △ ▼ △ ▼ △ ▼

00▣00▣00▣00

▼ △ ▼ △ ▼ △ ▼ △

Solution:

We need to determine the next element for each of the given sequences by identifying their respective patterns.

  1. The first sequence is ▼ △ ▼ △ ▼ △ ▼ △ ▼ △ ▼. This pattern alternates between a downward triangle (▼) and an upward triangle (△). The sequence ends with a downward triangle (▼). Therefore, the next symbol in this sequence is an upward triangle (△). The extended sequence continues with: ▼ △ ▼ △ ▼ △ ▼ △ ▼ △ ▼ △
  2. The second sequence is 00▣00▣00▣00. The pattern here is the repetition of the group 'two zeros (00) followed by one triangle (▣)'. The sequence ends with '00'. Following the pattern, the next element should be a triangle (▣). The extended sequence continues with: 00▣00▣00▣00 ▣
  3. The third sequence is ▼ △ ▼ △ ▼ △ ▼ △. This is another alternating pattern of a downward triangle (▼) and an upward triangle (△). The sequence ends with an upward triangle (△). Therefore, the next symbol in this sequence is a downward triangle (▼). The extended sequence continues with: ▼ △ ▼ △ ▼ △ ▼ △ ▼

Identifying the repeating unit in each sequence allows us to accurately predict what comes next.

Common mistakes

  • Difficulty in identifying the rule governing a pattern.
  • Confusing different types of patterns.
  • Making errors when extending complex sequences.

Revision tips

  • Practice identifying the repeating unit in each pattern.
  • Try to describe the pattern rule in your own words.
  • Draw or write out the next few elements of the sequence to check your prediction.

Practice MCQs

Q1. Which of the following is a pattern?

Q2. What comes next in the sequence: ● ● □ ● ● □...?

Q3. If the pattern is ▼ △ ▼ △, what is the next symbol?

Q4. Which pattern is formed by '00□00□'?

Frequently asked questions

What is the main goal of Chapter 10: Patterns in Class 1 Mathematics?

The main goal is to help students recognize, understand, and extend simple patterns found in shapes, symbols, and numbers, fostering their logical thinking skills.

How do these NCERT Solutions help Class 1 students?

These solutions provide clear, step-by-step explanations for identifying and continuing patterns, making the learning process easier and reinforcing concepts for better understanding.

What types of patterns are covered in this chapter?

The chapter covers various types of patterns, including those based on shapes (like triangles and squares), symbols (like ▼ and △), and simple numerical sequences.

Are the questions in the source document clear?

The source document had some unclear text due to. The questions have been clarified to ensure students understand what is being asked, while preserving the original problem.

Important links

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