Beacon Lesson Plan Library

Solving Absolute Value Equations

Johnny Wolfe
Santa Rosa District Schools

Description

This lesson discusses absolute value and how it relates to equality.

Standards

Florida Sunshine State Standards
MA.A.1.4.4
Understands that numbers can be represented in a variety of equivalent forms using integers, fractions, decimals, and percents, scientific notation, exponents, radicals, absolute value, or logarithms.

MA.A.3.4.3
Adds, subtracts, multiplies, and divides real numbers, including square roots and exponents using appropriate methods of computing (mental mathematics, paper-and-pencil, calculator).

Florida Process Standards
Numeric Problem Solvers
03 Florida students use numeric operations and concepts to describe, analyze, communicate, synthesize numeric data, and to identify and solve problems.

Materials

- Overhead transparencies (if examples are to be worked on overhead) for Solving Absolute Value Equations (see attached file).

- Marking pens (for overhead).

- Solving Absolute Value Equations Examples (see attached file).

- Solving Absolute Value Equations Worksheet (see attached file).

- Solving Absolute Value Equations Checklist (see attached file).

Preparations

1. Prepare transparencies (if teacher uses overhead for examples) for Solving Absolute Value Equations Examples (see attached file).

2. Have marking pens (for overhead).

3. Have Solving Absolute Value Equations Examples (see attached file) prepared and ready to demonstrate to students.

4. Have enough copies of Solving Absolute Value Equations Worksheet (see attached file) for each student.

5. Have enough copies of Solving Absolute Value Equations 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 and solving equations. Note: This lesson does not address percents, scientific notation, and logarithms on SSS MA.A.1.4.4. This lesson does not address square roots or exponents on SSS MA.A.3.4.3. This lesson contains a checklist to assist the teacher in determining which students need remediation. The sole purpose of this checklist is to aide the teacher in identifying students that need remediation. Students who meet the C criteria are ready for the next level of learning. The teacher may also use a percentage basis to award grades for the handout.
1. Discuss the number line and the common element, distance, with the students (see # 1 on attached file Solving Absolute Value Equations Examples). Answer student questions and comments.

2. Discuss definition of absolute value (see # 2 on attached file Solving Absolute Value Equations Examples). Answer student questions and comments.

3. Discuss Thought Provoker with students (see # 3 on attached file Solving Absolute Value Equations Examples). Answer student questions and comments.

4. Discuss Thought Provoker with students (see # 4 on attached file Solving Absolute Value Equations Examples). Answer student questions and comments.

5. Work example 5 (see attached file Solving Absolute Value Equations Examples). Answer student questions and comments.

6. Work example 6 (see attached file Solving Absolute Value Equations Examples). Answer student questions and comments.

7. Work example 7 (see attached file Solving Absolute Value Equations Examples). Answer student questions and comments.

8. Work example 8 (see attached file Solving Absolute Value Equations Examples). Answer student questions and comments.

9. Work example # 9 (see attached file Solving Absolute Value Equations Examples). Answer student questions and comments.

10. Work example # 10 (see attached file Solving Absolute Value Equations Examples). Answer student questions and comments.

11. Work example # 11 (see attached file Solving Absolute Value Equations Examples). Answer student questions and comments.

12. Work example 12 (see attached file Solving Absolute Value Equations Examples). Answer student questions and comments.

13. Work example # 13 (see attached file Solving Absolute Value Equations Examples). Answer student questions and comments.

14. Work example # 14 (see attached file Solving Absolute Value Equations Examples). Answer student questions and comments. Point out to students the importance of checking solutions.

15. Work example # 15 (see attached file Solving Absolute Value Equations Examples). Answer student questions and comments.

16. Work example # 16 (see attached file Solving Absolute Value Equations Examples). Answer student questions and comments.

17. Work example 17 (see attached file Solving Absolute Value Equations Examples). Answer student questions and comments.

18. Work example 18 (see attached file Solving Absolute Value Equations Examples). Answer student questions and comments.

19. Discuss empty set and null set with students (see # 19 on attached file Solving Absolute Value Equations Examples). Answer student questions and comments.

20. Work example 20 (see attached file Solving Absolute Value Equations Examples). Answer student questions and comments.

21. Work example 21 (see attached file Solving Absolute Value Equations Examples). Answer student questions and comments.

22. Remind students again about the importance of checking solutions (see # 22 on attached file Solving Absolute Value Equations Examples). Answer student questions and comments.

23. Work example 23 (see attached file Solving Absolute Value Equations Examples). Answer student questions and comments.

24. Work example 24 (see attached file Solving Absolute Value Equations Examples). Answer student questions and comments.

25. Show students how to use a calculator to evaluate absolute value expressions (see # 22 on attached file Solving Absolute Value Equations Examples). Answer student questions and comments.

26. Distribute the Solving Absolute Value Equations Worksheet (see attached file).

27. Distribute the Solving Absolute Value Equations Checklist (see attached file). Describe what constitutes an A, B, C, D, and an F in the CHECKLIST.

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

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

Assessments

Student worksheets will be taken up and scored according to Solving Absolute Value Equations Checklist. These scores may be placed in the grade book

Extensions

Give students two numbers and have them write an absolute value expression that has the numbers as solutions.

Web Links

Web supplement for Solving Absolute Value Equations
Synopses of Topics-Absolute Value and Distance

Web supplement for Solving Absolute Value Equations
Absolute Value of an Integer

Web supplement for Solving Absolute Value Equations
Absolute Value Lesson

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