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How are quadratic functions and their graphs used to model real-world data?
How are quadratic equations solved by factoring, completing the square, and the quadratic formula?
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Student Learning Map
- Topic:Quadratic Equations and Functions
- Subject(s):Math
- Days:15
- Grade(s):10, 11, 12
Key Learning:
Describing characteristics of quadratic equations and functions help interpret real-world events and solve problems.
Unit Essential Question(s):
Lesson Essential Question(s):How are complex numbers added or subtracted?
How are complex numbers multiplied and divided?
Why are complex numbers used?
Lesson Essential Question(s):How is data modeled with a Quadratic function? (A)How is data modeled with a Quadratic function? (ET)Concept: Solving Quadratic Equations Concept: Lesson Essential Question(s):What methods are used to factor a quadratic expression or higher order polynomial? (A)What methods are used to factor a quadratic expression or higher order polynomial? (ET)Lesson Essential Question(s):How are quadratic equations solved by completing the square, factoring, and the Quadratic Formula? (A)Why is the discriminant of a quadratic equation important? (ET)Lesson Essential Question(s):Vocabulary:
Additional Info:
Textbook Ancillary Material Technology Support Program Hands-on manipulatives Kaplan Lesson Plans
Resources:
Culminating Activities:
1. Untitled Culminating ActivityStudent Assessment(s):
1. Untitled Student AssessmentAcquisition Lesson(s):
1. How is data modeled with a Quadratic function?2. How are quadratic functions graphed in both standard and vertex form?3. How are the minimum and maximum values of a quadratic function found?4. What methods are used to factor a quadratic expression or higher order polynomial?5. How are quadratic equations solved by completing the square, factoring, and the Quadratic Formula?Extended Thinking Lesson(s):
1. How is data modeled with a Quadratic function?2. How can the minimum and maximum values of a quadratic function be used to solve real-world problems?3. What methods are used to factor a quadratic expression or higher order polynomial?4. Why is the discriminant of a quadratic equation important?