Combining Like Terms
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Title: Combine Like Terms
Why: Combining like terms is essential to algebraic problem solving.
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Success Criteria:
After completion of this module, learners will be able to
1. Define terms and like terms.
2. Simplify algebraic expressions involving addition and subtraction.
Prerequisites: Learners should know how to combine signed numbers.
Resources and Information: Download the Combining Like terms file found at this link: mahara.oeruniversitas.org/view/view.php
Plan and/or Tasks:
Experience:
- Read the information and examples for combining like terms.
- Using the first example, redo it on another piece of paper without looking at the answer. Then, check your work.
Key Questions (Critical Thinking Questions)
- Simplify: 2ab + 7ba (Apply the Commutative Property for Multiplication to get like terms)
- Give an example of a term that could be added to 4ab.
- 3x2 -4xy +8y2 + (? ? ?) = x2 -7xy +12y2
4. 3a – 2ab + 4ac – 14b + ( ? ? ? ? ?) = -6ab - 8ac + 20b + 5c
5. Give a real-life example as a model for combining like terms.
Skill Exercises:
- Simplify:
a. 7u + 12uv – 9v +8z -14u + 15z -v
b . 15pq -6p + 12 – 8p
c. a + b + 4c +4 – a – b - 4 - Explain how to combine like terms to someone you know.
Problems:
- Create a problem with an answer of 18abc + 4ab – 6ac - 13
Validation:
Ask your coach to check answer. Be prepared to explain what you did.
Reflection on Learning:
- What strengths did you exhibit in learning about combining like terms?
- In what areas would you like to improve your understanding of combining like terms?
- What insight did you gain from your investigation of combining like terms?