Day 8 of 30
Combining like terms
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Learning Objective
Students will explore combining like terms through guided practice and application.
In this lesson, we'll explore combining like terms. Mathematical thinking develops logical reasoning and problem-solving abilities.
Like terms are terms with the same variables raised to the same powers. For example, 3x and 5x are like terms (both have x), but 3x and 3x² are not (different exponents). To combine like terms, add or subtract their coefficients: 3x + 5x = 8x. Why? Because x represents the same unknown in each term. Combining like terms simplifies expressions, making them easier to work with and solve. It's like grouping similar items: 3 apples + 5 apples = 8 apples!
As you work through today's material, pay attention to the examples and try to identify the patterns or strategies being used. This will help you apply these concepts to new problems.
Take notes on key points and make connections to what you've already learned in previous lessons.
A mathematical question requiring analysis and solution
The result obtained by solving a problem
Instructions
Materials Needed
- Notebook
- Calculator (if needed)
- Graph paper
Combine like terms: 3x + 5x
Simplify: 7a - 2a + 4
Combine: 2x² + 3x - x² + 5x
Teaching Tip
For advanced learners: Encourage deeper analysis and real-world connections. Consider extension activities that allow students to apply combining like terms to novel situations.