Triangle trigonometry a. Know the definitions of sine, cosine, and

advertisement
Unit Summary
 The right triangle is one of the most important geometrical figures,
used in many applications for thousands of years. This unit focuses on
the concepts about right triangles, how to solve for the missing parts
of it and its real world application. Students are provided the time to
integrate technology in the activities and so in this topic, students will
be given exercises. Students will also be exposed to different solving
problems for the practice of skills. By the end of this unit, the students
progress to work in groups to create problems that relates to real
world application and be able to illustrate it in the geometer’s sketch
pad.
Targeted State Frameworks/Content
Standards/Benchmarks
The learner demonstrates understanding of the key
concepts and principles of right triangles as applied
integrating appropriate technology, in critical
thinking, problem solving, reasoning, making
connections , representations and decision in real
life.
Student Objectives/Learning Outcomes
At the end of the unit, the students would be able to:

Identify the parts of a right triangle.

Give examples of right triangle that they can see in the
surroundings.

Solve the missing parts of a right triangle.

Illustrate/draw the right triangle based from the given problem
using the Geometer’s Sketch Pad.

Create a real-life problem applying the right triangles.
Curriculum-Framing Questions
Before: How is visualization essential to the study of geometry?
Essential Question
During: What is the relevance of solving for the missing parts of a right
triangle?
After: Why is this going to be needed?
Before: What are the different kinds of geometric figures?
Unit Questions
During: Why do we measure or solve for the missing parts of the
triangle?
How are students going to use this lesson in life?
Before: What are right triangles?
Content Questions
During: What are the different situations involving right triangles?
After: In what ways will they be able to apply solving for the right
triangles?
To answer the CONTENT QUESTIONS …
• Prior
to starting the unit
Using the K-W-L Chart the students will word
processed what they what to know, what they
want to know and what they learned.
•Introduction
A short of Video Clip will be show to the class
which describes the parts of the right triangle.
There will also be a PowerPoint presentation in
which real life examples will be introduced.
This PowerPoint was one of the presentations used to
introduce the concept about Right Triangles
To answer the UNIT QUESTIONS…
• Problem Solving Practice. The students will be
provided worksheets to practice their problem
solving skills. The teacher will roam around the
classroom to check students’ work.
• Exploring the Geometer’s Sketch Pad. During the
whole duration of the topic, the students will be
provided the time to use the computer lab or
laptops on how to use the Geometer’s Sketch
pad. The teacher will teach the basic construction
of points, lines, shapes and so on and be able to
illustrate problems.
Assessment part.
- Quiz/ worksheets will be given.
- The teacher will give problems in which students
will have to illustrate it using the Geometer’s
Sketch pad and to be passed to the teacher. This
assessment will just be an informal assessment or
will serve as a practice for students to apply it to
the final output that will be given by the teacher.
(student support)
How they will be assessed?
• Before starting the lesson the student will be given
a short pretest to assess their knowledge about
the subject matter.
• After every subtopics, their will be exercises or
assignments given to check their understanding of
the lesson.
• By time the whole lesson is finished, post test will
be given to check if they have understood and
improved.
• Quizzes/ assignments
• Students’ solution to the problems and
Geometer’s sketch pad files
PROJECT
By the end of the topic, the students are expected
to make connections of solving right triangles to real
world application and integrate technology.
As part of their final output for the lesson, the
students will have to make compilations of problems
in which they are the one who will make it that
shows real-life situation wherein there is an
application of solving right triangles, they will solve
for it and illustrate the problem using a Geometer’s
Sketch pad. Together with it is each member’s
journal reflection of the whole lesson up to their
project making.
Evaluation Rubric for the GSP Presentation and Word
Problems
•
•
•
•
•
Word Problems
Calculations/ Solutions
Integration of technology
Group Cooperation
Punctuality of the project
Download