Introduction
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Welcome Additional Learning
Welcome to PART 1 · COMPUTATIONAL THINKING - CLASS 6. This Mathematics course will help you understand important ideas, see how they work in the world around you, and practise using them through examples, activities and questions.
Why this subject is important
- It is one of the most important skills in computational thinking, and it is also the very first step that machines take when they are taught to “recognise” something — whether that is a face in a photograph, a fraudulent bank transaction, or your voice giving a command to a smart speaker.
- Patterns generally fall into a few broad families, and it helps to know their names, because mathematicians and computer scientists use this vocabulary constantly:
- A useful first habit is to look for structure using a grid, since a grid often makes a hidden pattern leap out at you visually in a way that a plain list of numbers does not.
- This is an important lesson about patterns: a rule that looks simple, such as “double it,” can produce results that our intuition badly underestimates.
From Your Textbook
Real-world applications
- 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.
From Your Textbook
Connect to your everyday life Additional Learning
- Before you start "Chapter 1 - Patterns in Mathematics", write down one thing you already know about it and one question you would like answered.
Chapters in this course
- Chapter 1 - Patterns in Mathematics — Shrinking patterns, where each term becomes smaller according to a rule, such as 100, 90, 80, 70.
What you should know before you start
You should be comfortable with the Mathematics you studied in earlier classes. Revise it if you are unsure. Additional Learning
How to use this course
- Work through the chapters in order. Each chapter builds on the previous one.
- Read every lesson page completely: the explanation, examples, diagrams and important points.
- Answer the "Check your understanding" questions at the end of each lesson.
- Complete the Practice and Review page of each chapter, then check your answers with your teacher.
- Submit the chapter assignment by the due date.
- Take the chapter quiz to check what you have learnt.
- At the end, use the Final Course Review to revise and complete the Final Project.
Welcome to your learning journey Extra Practice
Welcome to Computational Thinking, Class 6! In this course we will explore the hidden patterns that shape the world around us — from the rangoli at your doorstep to the rhythm of a traffic light. Together we’ll learn how to spot a rule, describe it, and use it to predict what comes next, just like a mathematician or a computer scientist does every day.
Why this subject matters
Patterns let us make sense of complexity. When you recognise a pattern, you can forecast the next step without counting every single detail. This skill is the foundation of computational thinking: it helps computers recognise faces, detect fraud, understand voice commands, and solve problems efficiently. Mastering patterns now gives you a powerful toolkit for future math, science, and technology challenges.
Where you will use this learning
- Rangoli designs made of coloured powder or flower petals arranged in repeating, symmetric patterns
- School timetables that repeat the same subjects on the same days each week
- Traffic signals cycling through red, green, amber in a fixed order
- Tracking phases of the moon to predict the next full moon
- Weaving designs into cloth using repeating motifs
- Composing rhythms in music that follow a regular beat
Your learning journey
- Chapter 1 - Patterns in Mathematics: You will discover what makes something a pattern, explore number patterns such as triangular numbers, square numbers, cube numbers, the doubling pattern, and Virahanka (Fibonacci‑style) numbers, and see how these patterns appear in Pascal’s Triangle and relate to the golden ratio. You’ll learn to represent patterns with dots, shapes, grids, tables, and charts, and to state the rule behind a pattern both as a term‑to‑term rule and a position‑to‑term rule.
How to succeed in this course
- Observe your surroundings daily and note any repeating or growing arrangements
- Draw or sketch patterns you find — visualising helps you see the rule
- Practice extending number sequences and writing the rule in your own words
- Ask ‘what changes and what stays the same?’ whenever you meet a new pattern
- Work with classmates to compare different ways of describing the same pattern
A message for you Extra Practice
Every great mathematician started by noticing simple patterns. You already have the curiosity to spot them — now we’ll give you the language and tools to describe and use them. Keep exploring, stay curious, and enjoy the journey!
“From Your Textbook” identifies material taken from the uploaded textbook or source document. “Additional Learning” identifies explanations and learning support added by the course generator. Please review generated material before publishing.