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

Blog # 5 The Six Types of Fluencies

Solution Fluency is the ability to think creatively to solve problems in real time by clearly defining the problem, designing an appropriate solution, delivering the solution and then evaluating the process and the outcome. 

                                 

Information Fluency is the ability to unconsciously and intuitively interpret information in all forms and formats in order to extract the essential knowledge, authenticate it, and perceive its meaning and significance. 

Creativity Fluency is the process by which artistic proficiency adds meaning through design, art, and storytelling. It is about using innovative design to add value to the function of a product though its form.

                                   

There are two components of Media Fluency.  Firstly, the ability to look analytically at any communication to interpret the real message, and evaluate the efficacy of the chosen medium. Secondly, to create original communications by aligning the message and audience though the most appropriate and effective medium. 

Collaboration Fluency is team working proficiency that has reached the unconscious ability to work cooperatively with virtual and real partners in an online environment to solve problems and create original products. 

                                   

All the 21st Century Fluencies are learned within the context of the Global Digital Citizen, using the guiding principles of leadership, ethics, altruistic service, environmental stewardship, global citizenship, digital citizenship, and personal responsibility.

Blog # 4 My Perception About The Old and New Generation

Nowadays, we are living in a world that has been changing all the time, so we have to adapt ourselves to the changes. We interact with a lot of people from different generations, such as our parents or grandparents. Consequently, there are many differences between our generation and our parent’s generation, which are communication, education, and lifestyle.

The first difference between people in the new generation and people in the old generation is how they communicating. People in the new generation are used to contacting other people almost immediately. For example, if young people want to contact their friends that are lived in different countries, they usually contact their friends immediately by using their mobile phones. Moreover, people in the new generation are focused more on communicating with their friends, colleagues and families. Teenagers in the new generation spend most of their time chatting with their friends on their mobile phones or chatting online more than doing anything else. On the other hand, people from the older generation accustomed to writing letters to contact other people that are far away. Furthermore, they like deal with other people face to face. All in all, people in the new generation communicate differently than people in the old generation.

People in my generation enjoy easier lives. For example, when some young people graduate from universities, they may not have to work immediately. They can sit around at home and do nothing because they parents are willing to support them. Furthermore, people that are my age are able to make up their minds spontaneously. They do not have to be concerned too much about their future plans. On the other hand, people that are my parent’s age tended to have harder lives and also they were born in a tough time.When they wanted something, they had to work really hard to achieve the things they wanted. 

To sum up, people that are my age have more comfortable lives than people that are my parent’s age.However, every generation always has something unique that has its own advantages and drawbacks, but the most important thing that every generation gives valuable lessons to the next generation.

Blog # 3 Differentiating The Past 30 years Generation and The New Generation

     PAST 30 YEARS GENERATION                                       NEW GENERATION

                                      

                                               

                                 
         

Blog # 2 Bridging the Gap of Generation Y and Z

If you are over the age of 40 and don’t understand all these terms, don’t feel too bad about yourself. You didn't grow up in the age of technology. And, be careful. These terms may not mean what you think they mean. For example, you don’t need a pair of scissors and a bottle of glue to cut and paste these days. However, if you are a parent, teacher or any person who cares about kids, then maybe you do need to be a little worried. While it can be overwhelming to understand the best way to provide technology opportunities for children in a world that is only going to become more technology-dependent, we must. We must find a way to safely and properly prepare them for a future that even they can’t imagine.

New research is being conducted every day to help us better understand the impact technology has on today’s youth. While it may still take years to fully understand these effects, one thing is already clear technology is changing everything. Experts in thinking and learning are also saying that overwhelming use of the Internet for research and study encourages users to dart between pages of information instead of concentrating on and understanding one source fully, such as a book, the way older adults learned.

This new type of thinking may leave some children incapable of the discipline needed to read and write at length because their way of learning has been altered. Technology may literally be “re-wiring” our children to think and function differently than any previous generation. Only time will tell. Cyber-bullying, identify theft and online sexual predators do pose real threats, but kids can be and should be taught to use technology wisely and responsibly. Parents and other adults must learn to embrace it, understand the social implications of its use and provide a safe way for children to explore and learn in this limitless world of information.

Blog # 1 Reflection

               Nowadays, most of the learners have been totally connected to tablets, gaming system, smart devices and every sort of interactive technology starting. They expect nearly instantaneous answers and real-time responses. So, it makes sense  that they would prefer to learn in a blended environment. To keep this new age of learners from being bored and looking for the next "button to tap" I need to keep this digital lifestyle in mind and plan for how I use it to the student's advantage in the classroom.

              Just because students use new online tools and content faster and with greater ease than we do, doesn't mean they pause to understand the risks of connections.Take time to teach them what is the best method we can apply. Help them understand online hazards, how to manage their personal information, protect individual/intellectual property, and what an appropriate "online connection" in social media and beyond.

             

             Technology is just a tool but we teachers are the key for our students learning and success.