Beacon Lesson Plan Library

Angles and Algebra

Johnny Wolfe
Santa Rosa District Schools

Description

This lesson covers angle measure for triangles and complementary/supplementary angles.

Standards

Florida Sunshine State Standards
MA.A.3.4.1
Understands and explains the effects of addition, subtraction, multiplication and division on real numbers, including square roots, exponents, and appropriate inverse relationships.

MA.C.1.4.1
Uses properties and relationships of geometric shapes to construct formal and informal proofs.

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 Angles and Algebra (See Attached File)
- Marking pens (for overhead)
- Angles and Algebra Examples (See Attached File)
- Angles and Algebra Worksheet (See Attached File)
- Angles and Algebra Checklist (See Attached File)

Preparations

1. Prepare transparencies (if teacher uses overhead for examples) for Angles and Algebra Examples. (See Attached File)
2. Have marking pens (for overhead).
3. Have Angles and Algebra Examples (See Attached File) prepared and ready to demonstrate to students.
4. Have enough copies of Angles and Algebra Worksheet (See Attached File) for each student.
5. Have enough copies of Angles and Algebra 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 square roots, exponents, and appropriate inverse relationships in MA.A.3.4.1 nor does it address formal proofs in MA.C.1.4.1.

1. Describe to students how to measure angles. (See #1 on Angles and Algebra Examples) Answer student questions and comments.

2. Ask the students to find the degree measure of ABC and CBD. Then have the students to find the sum of ABC and CBD. Go over the definition of supplementary angles. (See #2 on Angles and Algebra Examples) Answer student questions and comments.

3. Review with students how to name angles. (See #3 on Angles and Algebra Examples) Answer student questions and comments.

4. Work #4 example from Angles and Algebra Examples. (See Attached File) Answer student questions and comments.

5. Go over definition of complementary angles. (See #5 on Angles and Algebra Examples) Answer student questions and comments.

6. Work #6 example from Angles and Algebra Examples. (See Attached File) Answer student questions and comments.

7. Work #7 example from Angles and Algebra Examples. (See Attached File) Answer student questions and comments.

8. Work #8 example from Angles and Algebra Examples. (See Attached File) Answer student questions and comments.

9. Have students do the Thought Provoker. (See #9 on Angles and Algebra Examples) Make sure the students understand that the sum of the angles of a triangle equal 180 degrees. Answer student questions and comments.

10. Work #10 example from Angles and Algebra Examples. (See Attached File) Answer student questions and comments.

11. Work #11 example from Angles and Algebra Examples. (See Attached File) Answer student questions and comments.

12. Distribute the Angles and Algebra Worksheet. (See Attached File)

13. Distribute the Angles and Algebra Checklist. (See Attached File) Describe what constitutes an A, B, C, D, and F in the Checklist.

14. The students write their responses on the worksheet.

15. The teacher moves from student to student observing their work and lending assistance.

Assessments

Student worksheets are taken up and scored according to the Angles and Algebra Worksheet Key and Checklist. (See Attached File) These scores may be placed in the grade book.

Extensions

Have students determine the degrees in a pentagon by taking one of the vertices and dividing the figure into triangles. Have the students do this with other polygons as well.

Web Links

Web supplement for Angles and Algebra
Angles

Web supplement for Angles and Algebra
Triangle Geometry

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