1. factoring
Algebra II Dr. Guram

2. Focus Questions
How do we factor quadratic expressions of the form 𝑥 2 +𝑏𝑥+𝑐.
How do we factor quadratic expressions of the form 𝑎𝑥 2 +𝑏𝑥+𝑐.
What is an example of a real-world scenario where factoring is useful?

3. Curriculum standards CLE 3103.3.12, 3103.3.7, 3103.3.2, 3103.3.13
- understand the relationship between real zeros of a function and the x-intercepts of its graph.
Sources: /A/1/
Spring Board Algebra 2 workbook
Larson algebra 2 textbook

4. Real World Examples Utilizing factoring
What are examples of ways we utilize factoring in real world situations?
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5. Real World Examples Utilizing factoring
Finance
Numerical analysis

6. Academic language
Monomial: an expression that is either a number, a variable, or the product of a number and one or more variables with whole number exponents.
binomial: the sum of two monomials.
trinomial: the sum of three monomials.

7. Academic language
Quadratic equation with one variable: an equation that can be written as 𝑎𝑥 2 +𝑏𝑥+𝑐 = 0 where 𝑎≠0.
Root of an equation: the solutions of a quadratic equation are its roots.
Zero of a function: a number k is a zero of a function f if f(K)=0.

8. Factoring example

9. Factoring solution
House method on board

10. Factoring guided practice examples

11. Special Factoring patterns

12. Special Factoring patterns

13. Factoring guided practice examples

14. Zero product property

15. Zero product property example

16. Zero product property solution

17. Real World Example

18. Real World Solution

19. Zeros of a function

20. Zeros of a function

21. Factor with special patterns

22. Factor with special patterns example

23. Factor with special patterns example

24. Real world example

25. Real world solution

26. Review How do we factor quadratic expressions of the form 𝑥 2 +𝑏𝑥+𝑐.
What is an example of a real-world scenario where factoring is useful?

27. Review of terms
define the mathematical terms: monomial, binomial, and trinomial.
Define the mathematical terms: quadratic equation, root of an equation, and zero of a function.

28. Classwork/Homework
- Factoring worksheet