ALG1.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.
Algebra I · Texas Essential Knowledge and Skills (TEKS) · TEKS 2012
Standard Unwrapping
AI-generated as a starting point — sign in to edit.Vocabulary
binomialdifference of two squaresstructurerewritepolynomial expression
Skills
- decide (if a binomial can be written as the difference of two squares) #dok2
- identify (the structure of a difference of two squares in a binomial) #dok2
- rewrite (a binomial as the difference of two squares if possible) #dok3
- use (the structure of the difference of two squares to factor a binomial) #dok3
Learning Targets
- I can recognize when a binomial fits the pattern of a difference of two squares. #dok2
- I can determine if a binomial can be expressed as the difference of two squares. #dok2
- I can use the structure of a difference of two squares to rewrite a binomial. #dok3
- I can factor a binomial as the difference of two squares when appropriate. #dok3
Big Ideas
- Identifying and utilizing the difference of two squares pattern can simplify and factor certain binomials.
- Recognizing the structural pattern in polynomial expressions enables efficient rewriting and factoring.
Essential Questions
- How do I know if a binomial can be written as the difference of two squares?
- What is the difference of two squares pattern and why is it important for factoring?
- How can rewriting a binomial using the difference of two squares help solve algebraic problems?
- What steps should I follow to factor a binomial using the difference of two squares?