8adv.MATH.7.B
Describe the relationship between the linear factors of quadratic expressions and the zeros of their associated quadratic functions.
Grade 8 (Advanced) · 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
- identify (zeros of quadratic functions) #dok1
- analyze (how linear factors correspond to zeros of quadratic functions) #dok3
Learning Targets
- I can identify the linear factors of a quadratic expression. #dok1
- I can identify the zeros of a quadratic function. #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 analyze how changing linear factors of a quadratic changes the zeros of the function. #dok3
Big Ideas
- The factors of a quadratic expression are directly related to the zeros of its associated quadratic function.
- Understanding the connection between a quadratic's algebraic and graphical representations helps explain why its factored form reveals the function's roots.
Essential Questions
- How are the linear factors of a quadratic expression related to the zeros of its corresponding quadratic function?
- What information can we learn from the factored form of a quadratic expression?
- How do the linear factors determine where the quadratic function crosses the x-axis?
- Why does each linear factor correspond to a zero of the quadratic function?
- How can understanding this relationship help us solve quadratic equations?