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Introduction to Algebraic Thinking

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Introduction to Algebraic Thinking

Introduction to Algebraic Thinking

Algebraic expressions and variables illustration

🔍 Part 1: Understanding Variables and Constants

1. What is a variable? Circle the best definition:

A number that never changes

A letter that represents a number

A mathematical operation

A type of equation

2. Look at this expression: 5 + x - 3. Identify the parts by checking all that apply:

Variables:

5

x

3

+

Constants:

5

x

3

-

3. Complete the vocabulary organiser for "variable":

Definition: A variable is ________________________________

Examples: ________________________________________

Non-examples: ___________________________________

🎯 Part 2: Identifying Variables and Constants

4. For each expression below, circle the variables and underline the constants:

a) 7 + y

b) 3m - 8

c) 15 + a + 2

d) 4t + 9 - 1

e) 12 + b

5. Match each algebraic expression with its description:
1. x + 4
2. 2y - 7
3. 10 + z
4. 3a + 5
A. Three times a number plus five
B. A number increased by four
C. Ten more than a number
D. Twice a number minus seven

📝 Part 3: Creating Algebraic Expressions

6. Write an algebraic expression for each situation. Use any letter for your variable:

a) I have some marbles. My friend gives me 6 more marbles.

Expression: _______________

b) There are some students in the classroom. 4 students leave for music practice.

Expression: _______________

c) A packet of lollies costs some amount. I buy 3 packets.

Expression: _______________

d) My sister has some stickers. She gives away 8 stickers and then gets 5 more.

Expression: _______________

7. Create your own word problem and write the algebraic expression:

My word problem:

Algebraic expression: _______________

🧮 Part 4: Working with Simple Equations

8. If x + 3 = 7, what is the value of x?

Show your thinking:

Answer: x = _______

9. Find the value of each expression when the variable equals the given number:

a) y + 8 when y = 5

Answer: _______

b) 3m when m = 4

Answer: _______

c) 15 - n when n = 6

Answer: _______

d) 2t + 1 when t = 3

Answer: _______

10. True or False? Circle your answer and explain your reasoning:

The expression "5 + 7" contains a variable.

True

False

Explain your answer:

💭 Part 5: Reflection

11. In your own words, explain why algebra is useful in mathematics:
12. What is one thing you learned about algebra today?
13. What is one question you still have about algebra?

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