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Introduction to Algebra

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Introduction to Algebra

Introduction to Algebra

Detective with magnifying glass looking at patterns

🔍 Part 1: Pattern Detective

You are a pattern detective! Your job is to find the rules that patterns follow.

1. Look at this shape pattern: Triangle, Square, Triangle, Square, Triangle, ____

What shape comes next?

Triangle

Square

Circle

2. What is the rule for this pattern?
3. Look at this colour pattern: Red, Blue, Red, Blue, Red, ____

What colour comes next?

Red

Blue

Green

🔢 Part 2: Number Pattern Rules

4. Complete this number pattern: 2, 4, 6, 8, ____, ____, ____
5. What is the rule for the pattern above?

Add 2 each time

Add 3 each time

Add 1 each time

6. Look at this pattern: 5, 10, 15, 20, ____, ____, ____

Fill in the next three numbers:

7. What rule does this pattern follow?

🎨 Part 3: Create Your Own Patterns

8. Draw your own shape pattern using triangles, circles, and squares. Make sure it follows a rule!
9. Write the rule for your pattern:
10. Create a number pattern that starts with 3:

3, ____, ____, ____, ____, ____

11. Explain the rule for your number pattern:

🧩 Part 4: Pattern Matching

12. Match each pattern with its rule:
1. 1, 3, 5, 7, 9
2. 10, 20, 30, 40
3. A, B, A, B, A
A. Add 10 each time
B. Repeat two letters
C. Add 2 each time (odd numbers)
13. Which of these are examples of patterns? (Check all that apply)

Monday, Tuesday, Wednesday, Thursday

7, 3, 12, 1, 9

Clap, jump, clap, jump, clap

100, 90, 80, 70, 60

💭 Part 5: Thinking About Algebra

14. Fill in the blanks:

Algebra is about finding and using _____________ in patterns. When we don't know a number, we can use a _____________ like 'n' to represent it.

15. Why do you think finding rules in patterns is important in maths?
16. If you had a pattern where you add the same number each time, and the first number is 4, what could your pattern look like?

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