Beacon Lesson Plan Library

What Does Your Quadratic Look Like?

Johnny Wolfe
Santa Rosa District Schools

Description

A quadratic function is a function that can be described by an equation of the form y = ax^2 + bx + c. Graphs of quadratic functions have certain common characteristics.

Objectives

Understands and explains the effects of addition, subtraction, multiplication and division on real numbers, including square roots, exponents, and appropriate inverse relationships.

Adds, subtracts, multiplies, and divides real numbers, including square roots and exponents using appropriate methods of computing (mental mathematics, paper-and-pencil, calculator).

Describes, analyzes and generalizes relationships, patterns, and functions using words, symbols, variables, tables and graphs.

Materials

- Overhead transparencies (if examples are to be worked on overhead) for "What Does Your Quadratic Look Like" (see attached file).

- Marking pens (for overhead).

- "What Does Your Quadratic Look Like Examples" (See attached file).

- "What Does Your Quadratic Look Like Worksheet" (See attached file).

- "What Does Your Quadratic Look Like Checklist" (See attached file).

Preparations

1. Prepare transparencies (if teacher uses overhead for examples) for "What Does Your Quadratic Look Like Examples" (See attached file).
2. Have marking pens (for overhead).
3. Have "What Does Your Quadratic Look Like Examples" (See attached file) prepared and ready to demonstrate to students.
4. Have enough copies of "What Does Your Quadratic Look Like Worksheet" (See attached file) for each student.
5. Have enough copies of "What Does Your Quadratic Look Like Checklist" (See attached file) for each student.

Procedures

Prior Knowledge: Students should be familiar with basic operation skills such as addition, subtraction, multiplication, division, exponents, fractions, decimals, distributive property, inverse operations, radicals, factoring solving equations, and graphing. NOTE: This lesson does not address tables. This lesson does not also address square roots and inverse relationships.

1. Review with students the terms; function, relation, domain, range, and vertical line test (See # 1 on attached file "What Does Your Quadratic Look Like Examples"). Answer student questions and comments.

2. Go over the definition of a quadratic function (See # 2 on attached file "What Does Your Quadratic Look Like Examples"). Answer student questions and comments.

3. Discuss the shape of a parabola (See # 3 on attached file "What Does Your Quadratic Look Like Examples"). Answer student questions and comments.

4. Discuss common characteristics of quadratic functions (See # 4 on attached file "What Does Your Quadratic Look Like Examples"). Answer student questions and comments.

5. Discuss minimum/maximum points of a quadratic function (See # 5 attached file "What Does Your Quadratic Look Like Examples"). Answer student questions and comments.

6. Discuss axis of symmetry (See # 6 on attached file, "What Does Your Quadratic Look Like Examples"). Answer student questions and comments.

7. Discuss symmetry of a parabola (See # 7 on attached file, "What Does Your Quadratic Look Like Examples"). Answer student questions and comments.

8. Work example # 8 (See attached file "What Does Your Quadratic Look Like Examples"). Answer student questions and comments.

9. Discuss characteristics of example # 8 (See # 9 on attached file "What Does Your Quadratic Look Like Examples"). Answer student questions and comments.

10. Discuss characteristics of example # 8 (See # 10 on attached file "What Does Your Quadratic Look Like Examples"). Answer student questions and comments.

11. Discuss characteristics of example # 8 (See # 11 on attached file "What Does Your Quadratic Look Like Examples"). Answer student questions and comments.

12. Discuss equation of axis of symmetry (See # 12 on attached file "What Does Your Quadratic Look Like Examples"). Answer student questions and comments.

13. Work Example # 13 (see attached file "What Does Your Quadratic Look Like Examples"). Answer student questions and comments.

14. Work example # 14 (See attached file "What Does Your Quadratic Look Like Examples"). Answer student questions and comments.

15. Distribute the "What Does Your Quadratic Look Like Worksheet" (See attached file).

16. Distribute the "What Does Your Quadratic Look Like Checklist" (See attached file). Describe what constitutes an “A,” “B,” “C,” “D,” and an “F” in the Checklist.

17. The student will write their response on the worksheet.

18. The teacher will move from student to student observing the students work and lending assistance.

Assessments

The student worksheet will be collected and scored according to the "What Does Your Quadratic Look Like Checklist" (see attached file).

Extensions

Give students a minimum/maximum point and have them write a quadratic equation from this point.
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