8adv.MATH.10.F
Decide if a binomial can be written as the difference of two squares and, if possible, use the structure of a difference of two squares to rewrite the binomial.
Grade 8 (Advanced) · Texas Essential Knowledge and Skills (TEKS) · TEKS 2012
Standard Unwrapping
AI-generated as a starting point — sign in to edit.Vocabulary
binomialdifference of two squaresstructurerewriteexpression
Skills
- decide (if a binomial can be written as the difference of two squares) #dok2
- analyze (the structure of a binomial expression) #dok2
- apply (the difference of two squares formula to rewrite a binomial) #dok2
- rewrite (a binomial as a difference of squares if possible) #dok2
Learning Targets
- I can identify if a binomial is a difference of two squares. #dok2
- I can analyze a binomial to determine if it fits the structure required for the difference of squares. #dok2
- I can rewrite a binomial as the difference of two squares using appropriate algebraic techniques. #dok2
Big Ideas
- Recognizing the structure of binomials allows us to apply special factoring techniques.
- Understanding and using the difference of squares pattern simplifies complex expressions and aids in solving equations.
Essential Questions
- How can you recognize when a binomial is a difference of two squares?
- What steps do you follow to rewrite a binomial as a difference of two squares?
- Why is it important to identify special structures like the difference of squares in algebraic expressions?
- How does the difference of squares help in simplifying or factoring expressions and solving equations?