What You Will Learn in This Course
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About this course
"Class 6 - COMPUTATIONAL THINKING and AI" is a Mathematics course for Class 6. It follows the 1 chapters of the source material in their original order. Each chapter has detailed lessons, practice questions and activities, and the course ends with a full review and a final project.
What you will learn
- Chapter 1 - Patterns in Mathematics: Introduction: The World Runs on Patterns; 1.1 What Is a Pattern?; 1.2 Patterns in Numbers; 1.3 Patterns in Shapes; 1.4 From Patterns to Rules; 1.5 The Pattern-Thinking Process
Key concepts
Pattern · Skip-counting patterns · Virahanka numbers · First way · Doubling Pattern · Numbers · Rule · Term · Doubling pattern · Square · Patterns · Sequence · Dots · Triangular numbers · Square numbers · Row · Terms · Exactly
Skills you will develop
- Understanding and using the key vocabulary of the subject correctly
- Following and describing step-by-step procedures
- Solving problems with formulas and calculations, and checking answers
- Reading and interpreting tables and data
- Explaining ideas clearly in your own words
- Connecting what you learn to everyday life
Practical applications From Your Textbook
- Third, we use that rule to Predict the next term, or any term further along the sequence.
- It is worth pausing, before we close this chapter, to look outward from the notebook page and notice how often the patterns we have just studied appear unprompted in the world around us.
- As a class, combine everyone's results into a single chart and discuss why some everyday objects might be designed close to this ratio, and why others are not.
Expected learning outcomes From Your Textbook
By the end of this course you should be able to:
- Recognise a pattern in a set of numbers, shapes, or events, and explain why it is a pattern rather than a coincidence.
- Describe, extend, and create number patterns such as triangular numbers, square numbers, cube numbers, the doubling pattern, and the Virahanka (Fibonacci-style) numbers.
How the course is organised
| Section | Lessons | Activities |
|---|---|---|
| Chapter 1 — Chapter 1 - Patterns in Mathematics | 8 | Practice and Review, Assignment, Quiz |
| Final Course Review | 1 | Revision |
| Final Project | — | Project assignment |
Learning outcomes Extra Practice
- Identify and explain why a given arrangement of numbers, shapes, or events constitutes a pattern rather than a random occurrence.
- Extend and create number patterns including triangular numbers, square numbers, cube numbers, the doubling pattern, and Virahanka numbers.
- Discover and describe connections between different number patterns, such as their appearance in Pascal's Triangle and their relationship to the golden ratio.
- Represent a pattern using multiple representations: dots, shapes, grids, tables, or simple charts.
- State the general rule of a pattern in own words, distinguishing between a term-to-term rule and a position-to-term rule.
- Predict future terms of a pattern using its rule without listing all intermediate terms.
- Recognise repeating, growing, and shrinking patterns in real-world contexts such as timetables, traffic signals, and nature.
- Explain how pattern recognition forms the basis of computational thinking and machine learning.
- Use a number grid to reveal hidden second-order patterns, such as diagonal striping among multiples.
- Describe how square numbers can be rebuilt as a sum of consecutive odd-number gnomons.
Skills you will develop
- Pattern recognition in numerical, geometric, and real-world sequences
- Formulating and communicating mathematical rules (term-to-term and position-to-term)
- Visual representation of patterns using dots, grids, tables, and charts
- Logical reasoning to extend and predict pattern behaviour
- Connecting mathematical patterns to natural phenomena and technology
- Analytical thinking to uncover hidden relationships between sequences
- Foundational computational thinking: abstraction, decomposition, and algorithmic prediction
Before you begin
- Fluency with whole-number addition, subtraction, and multiplication
- Familiarity with basic geometric shapes and their properties
- Ability to follow and describe simple repeating sequences
- Experience using tables or charts to organise data
- Curiosity about patterns in everyday surroundings
How to study effectively Extra Practice
- Spend five minutes each day spotting patterns in your environment — floor tiles, calendar dates, music rhythms — and sketch them in a notebook.
- When learning a new number pattern, build it physically with counters or draw the dot arrangements to see the growth rule visually.
- Practice writing both the term-to-term rule (e.g., 'add 3 each time') and the position-to-term rule (e.g., 'multiply position by 3') for every sequence you meet.
- Use a hundreds grid to shade multiples of different numbers; observe the diagonal stripes and discuss why they appear.
- Explore connections: write the first ten triangular numbers and square numbers side by side, then look for sums that link them.
- Before moving to the next topic, explain the pattern's rule aloud to a peer or family member — teaching reinforces your own understanding.
Course description Extra Practice
This course introduces students to the foundational ideas of computational thinking through the lens of patterns in mathematics. In Chapter 1, learners explore how patterns appear in numbers, shapes, and everyday phenomena — from rangoli designs and traffic signals to number sequences like triangular, square, cube, doubling, and Virahanka (Fibonacci-style) numbers. Students will recognise, describe, extend, and create patterns, represent them visually using dots, grids, and tables, and articulate the underlying rules using both term-to-term and position-to-term reasoning. The chapter emphasizes that pattern recognition is not only a mathematical skill but also the first step in how computers learn to make predictions and decisions.