Day 1: Introduction to Algebra
- What is a variable? Can you point it out in this expression: 5x + 3?
- Which part of 7y + 4 is the constant?
- Identify the coefficient in 6a + 9.
- Can a number alone be a variable? Why or why not?
- If I have 3 pencils and x erasers, how can I write this as an expression?
Day 2: Terms and Types of Expressions
- How many terms are in 4x + 7?
- Is 3y a monomial, binomial, or trinomial?
- Identify the type of this expression: 5a + 2b + 3c
- Can an expression have only constants? Give an example.
- Which expression has more terms: 7x + 2y or 3x + 4y + 5z?
Day 3: Simplifying Expressions (Addition)
- Can we combine 3x + 4y? Why or why not?
- Simplify 2a + 5a
- What happens when we add 7b + 3b?
- Identify the like terms in 3x + 2y + 5x
- If I have x + x + x, how many x’s do I have?
Day 4: Simplifying Expressions (Subtraction)
- Simplify 7x – 3x
- Can we subtract 5y – 7y? What do we get?
- Identify like terms in 8a + 2b – 3a – b
- Why can’t we subtract 4x – 2y?
- Simplify: 6m + 3n – 2m + n
Day 5: Translating Verbal Statements
- How would you write “five more than a number x”?
- Translate: “The sum of a number and 7”
- How would you write “three times a number decreased by 4”?
- Translate: “Twice a number plus 5”
- What does “a number minus 6” look like as an expression?
Week 2: Advanced Practice and Application
Day 6: Evaluating Expressions
- If x = 3, what is 2x + 5?
- Evaluate 5a – 2b for a = 2, b = 3
- How do you check your answer after evaluating an expression?
- If y = 4, calculate 3y + 7
- What is the value of x + x + 2 when x = 5?
Day 7: Word Problems
- Translate: “A shop sells x chocolates a day. How many in 5 days?”
- How would you write “I buy x pens and 2 pencils each”?
- If a train travels y km per hour for 3 hours, how do you write it as an expression?
- How do you decide which numbers are constants in a word problem?
- Write an expression for: “I have 3 more than twice my friend’s score (s).”
Day 8: Combining Like Terms (Advanced)
- Simplify 2x + 3y + 5x – 2y
- Can we combine 2x + 3y? Why not?
- Simplify 4a + 3b – 2a + 5b – 6
- Identify all like terms in 3p + 5q + 2p – 7q
- How do you know when an expression is fully simplified?
Day 9: Quiz & Peer Learning
- How many terms are there in 5x + 3y + 7?
- What is the coefficient of y in 7y + 2?
- Simplify: 4x + 3x + 2y – y
- Translate this into an expression: “Twice a number plus 3”
- Explain your answer to a partner: why we combine only like terms
Day 10: Real-Life Application & Project
- How would you write your daily allowance as an algebraic expression?
- Can you write an expression for the cost of x pencils at 5 rupees each?
- How do expressions help us calculate distance or money?
- Write an expression for: “I have 2 more than 3 times my age”
- Present your expression: how did you choose the variables and constants?