ALG1.MATH.7.B
Describe the relationship between the linear factors of quadratic expressions and the zeros of their associated quadratic functions.
Algebra I · Texas Essential Knowledge and Skills (TEKS) · TEKS 2012
Standard Unwrapping
AI-generated as a starting point — sign in to edit.Vocabulary
relationshiplinear factorsquadratic expressionszerosquadratic functions
Skills
- describe (the relationship between linear factors and zeros of quadratic functions) #dok2
- identify (linear factors of quadratic expressions) #dok1
- determine (the zeros of associated quadratic functions) #dok1
- explain (how linear factors correspond to zeros on the graph of a quadratic function) #dok2
Learning Targets
- I can identify the linear factors of a given quadratic expression. #dok1
- I can determine the zeros of a quadratic function from its linear factors. #dok1
- I can describe the relationship between the linear factors of a quadratic expression and the zeros of its associated quadratic function. #dok2
- I can explain how changing a linear factor affects the zeros of a quadratic function. #dok2
Big Ideas
- The factors of a quadratic expression reveal the zeros of its related quadratic function.
- Understanding how linear factors relate to the graph of a quadratic function helps connect algebraic and graphical representations.
Essential Questions
- How do the linear factors of a quadratic expression correspond to the zeros of its associated quadratic function?
- What is the relationship between the solutions of a quadratic equation and its graph?
- How can factoring a quadratic expression help us find the x-intercepts of its graph?
- What happens to the zeros of a quadratic function if one of its linear factors changes?
- How does the structure of a quadratic expression influence its graph and zeros?