Combining Like Terms in Algebra

Combining Like Terms in Algebra

Grade 7 Mathematics 60-Minute Interactive Session Building Foundation for Algebraic Thinking

Learning Objectives - I Can Statements

I can identify like terms in algebraic expressions I can combine like terms to simplify algebraic expressions correctly I can explain why only like terms can be combined I can add or subtract coefficients of like terms accurately

Warm-Up: Spot the Pattern

Look at this expression: 3x + 5 + 6x - 2 Can you spot terms that belong together? Turn to a partner and discuss what you notice Be ready to share your thinking!

What Are Like Terms?

Like terms have the SAME variables raised to the SAME power Examples: 3x and 6x are like terms Examples: 5 and -2 are like terms (both constants) NOT like terms: 3x and 5 (different types) Only coefficients change when combining - variables stay the same

Step-by-Step: Combining Like Terms

Practice Examples: Combining Like Terms

Example 1: 3x + 5x = 8x Example 2: 7y - 2y = 5y Example 3: 4a + 3b + 2a = 6a + 3b Example 4: 8m - 3m + 4n = 5m + 4n Example 5: 2x + 5 + 3x - 1 = 5x + 4

Group Activity: Sort and Combine

Work in groups of 4 Sort your expression cards into 'like terms' groups Combine each group to create simplified expressions Use colored markers to highlight like terms Be ready to explain your reasoning!

Check Your Understanding

Simplify: 7a + 3a - 4 + 2 Show your work step by step Explain your thinking to a partner What strategy did you use?

Success! You Can Combine Like Terms

You identified like terms by matching variables and exponents You combined coefficients while keeping variables unchanged You simplified expressions correctly You explained your mathematical reasoning Ready for more algebra adventures!