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How do I solve and represent quadratic functions? |
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3. Student Learning Map
- Topic:05-Quadratics
- Subject(s):Math
- Days:26
- Grade(s):11
Key Learning:
A variety of strategies exist when solving quadratic equations with solutions being real or complex numbers, including factoring, completing the square, extracting square roots, quadratic formula, and graphing.
Unit Essential Question(s):
Concept: Solve Quadratic Equations by Graphing and Factoring (5.4 and 5.5)
Lesson Essential Question(s):How do I factor quadratic expressions? (A)
(ET)How do I solve quadratic equations by graphing and by factoring?
(ET)Lesson Essential Question(s):What are the two parts of a complex number and what is the significance of complex numbers in relation to the real number system?
(A)Vocabulary:greatest common factor, difference of squares, perfect square trinomial, standard form, Zero Product Property
Vocabulary:Concept: Solve Quadratic Equations Using the Quadratic Formula (5.8)
Concept: Parabolas (5.2, 5.3, and 10.2)
Lesson Essential Question(s):How is the discriminant related to the graph of a quadratic function?
(A)How do I use the Quadratic Formula to solve quadratic functions?
(A)Lesson Essential Question(s):What real life situations can be modeled by a quadratic equation? (A)
(ET)
Additional Information:
Also include Language Arts Benchmarks LA.910.1.6.1 (use of vocabulary) and LA.910.4.2.1 (write in a variety of informational/expository forms, including a variety of technical documents (e.g., how-to-manuals, procedures, assembly directions)), when appropriate.
Prentice Hall Algebra II: (5.4-5.8, 5.1-5.3)
Suggested materials: Graphing calculators
Resources:
Acquisition Lesson:
Extending Thinking Lesson: