Blog # 6 Lesson Plan

                                                                                               July 5,2014

                                                                                                       12:30pm-1:30pm

A Semi – Detailed Learning Plan
in Mathematics III

I. Objectives
         At the end of the discussion, the students must be able to:

                a. explain the special right triangle;

                b. give relevance to right triangles;

                c. solve problems in special right triangle.

II. Subject Matter

a.       Topic: Special Right Triangle

b.      Reference(s): Geometry in the Real World: Explorations and Applications by Karl Friedrich               Jose D. Romero, pp. 165-170

c.       Materials: LCD projector, laptop, white board pen

d.      Processes: Demonstrating, Observing and Solving

e.      Value Focuses: Respect, obedience, cooperation and critical thinking skills

III. Procedure / Strategies

A.      Pre-activity

1.       Drill (Problem Solving)

·         The teacher will present the following problems to the LCD projector and will let the students to answer.

1.       If a = 3 and b = 4, find c.

2.       If a = 5 and c = 13, find b.

3.       If b = 60 and c = 100, find a.

2.       Review

·         The teacher will ask the following questions:

a. What is a Pythagorean Theorem?

b. Who was the founder of the Pythagorean Theorem?

c. How can you say that the triangle needs the formula of Pythagorean Theorem?

              3. Motivation (Guess the Right Triangles)

·         The teacher will group the students into two (2).

·         The teacher will present an illustration through the projector and will let each group to guess and count how many triangles are there in the illustration given.

·         The teacher will let each group to identify the kinds of triangles (obtuse, right and acute triangles) and will let them count how many are dominant.

·         The teacher will give instructions as well as an allotted time.

B.      Presentation

1.       Activity Proper (Triangle Town)

·         The teacher will let the students to stay with their previous group.

·         The teacher will present an illustration through the projector in the class (that looks like a town) and will let each group to identify only how many right triangles are there in the illustration.

·         The teacher will give instructions as well as an allotted time.

2.       Analysis

·         The teacher will ask the following questions:

a.       What have you noticed about the illustrations?

b.      How many right triangles are there?

c.       Why do you think that the right triangles are many than the others?

3.       Abstraction

·         There are two special right triangles: the 45-45-90 and the 30-60-90  triangles.

·         The 45-45-90 triangle

-A triangle in which two legs are congruent.

-Formula:

·         a=b (where a and b are legs of the right triangle)

·         c=a√2 or c=b√2

                     ●      The 30-60-90 triangle

                                        -A triangle in which one side is shorter than the other.

                                        -Formula:

·         c=2b (where b is the side opposite the 30- degree angle)

·         a=b√3

4.       Application (Problem Solving)

·         The teacher will give more examples to the students.

·         The teacher will let the students to answer some examples.

IV. Evaluation

                Direction: Solve the following given questions. Write in a ½ crosswise paper.

                Time allotment: 10 minutes ONLY

                Test Items: 3 items ONLY

                Find the following in a 30-60-90 triangle.

1.       If c=8, find a and b.

2.       If b=5√3, find a and c.

3.       If a=10√6, find b and c.

V. Assignment

    Direction: Find the value of the following in a 45-45-90 triangle.

1 .If a=8, find c.                                                                                3. If c=11√10, find a.

2. If b=4√6, find c.                                                                            4. If c=16, find b.

                                                                                                 Prepared by:
                                                                                                     Rev Marc R. Lanozo
                                                                                                     BSED 4
                                                                                                     St. Mary’s College of Tagum