aidemia--modules-lessonstartideas_type	Give a creative idea how to begin a lesson
Which subject	Mathematics
What age group	Year or Grade 10
What topic	Linear sequence
Quantity	1
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Lesson Introduction: Discovering the Patterns of Linear Sequences

Objective

Welcome to today's lesson on Linear Sequences! Today, we are going to explore the fascinating world of numbers and patterns. By the end of this session, you will understand how to identify, generate, and work with linear sequences.

Hook Activity: The Secret Code

Setting the Scene

Imagine you have stumbled upon an ancient scroll filled with mysterious numbers. These numbers are not random; they follow a secret pattern that can unlock a treasure hidden in a forgotten location.

The Challenge

In pairs, you will receive a series of numbers that look like this:

• 2, 5, 8, 11, , , ___

Your task is to decode this pattern. What numbers come next? How did you find them? Discuss your thoughts and strategies with your partner.

Instructions

1. Identify the pattern: Can you describe what is happening between each number?
2. Continue the sequence: Write down the next three numbers.
3. Reflect: Discuss with your partner what you've observed about how the sequence grows.

Sharing Insights

Once you have made your predictions, we will gather back as a class to discuss your observations, strategies, and finally uncover the rule governing the sequence!

Transition to the Lesson

Now that we've started decoding our secret code, we will learn how to represent and describe linear sequences mathematically. We will cover the concept of a common difference, and how to formulate the nth term of a linear sequence.

Conclusion

Get ready to unlock the treasure of knowledge as we delve deeper into the world of linear sequences! Let's see how many more patterns we can discover together.

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Make sure to have your notebooks ready, and let the adventure begin!