Tuesday, 14 October 2014

Teaching-Learning Process though using of Blogspot

Teaching-Learning Process though using of Blogspot
 
              Because we are in the world of technology today, teachers have undergo many changes in terms of teaching effectively using technologies. One of these is the using of internet/websites as an instructional material. Teachers tend to used this because they saw students are fun of using computers. 
                     There are many websites available to visit in enhancing teaching-learning process. One of this is the "Blogspots". BLOG is "Weblog, online diary". Teachers used this in posting topics, assignment, quizzes, reports, etc. 
                     Blogging can open up new audiences. You can become a teacher within an infinitely larger classroom, and as you blog on subjects you think are interesting, you will discover that there are plenty of other education professionals 'out there' who are also interested. People who are interested will eventually find your blog and visit it regularly to see if they can learn something new from you.
                    There are two main activities associated with blogs and blogging: Reading existing blog and Writing your own blog
                   Reading existing blogs. As blogs are now so common on the Internet it is practically impossible to avoid them when searching for information. They now provide one of the most important sources of up to date information on the Internet as without technical barriers or editorial processes information is made instantly available as bloggers post new entries to their blogs. There are also many leading academics who actively blog and can provide trustworthy sources of current opinion and information. This means that blogs will increasingly offer academically valid sources of opinion and information.
                   Writing your own blog. The ease of use offered by current blogging systems means that all students and staff now have the opportunity to actively participate in blog authoring.

The blog itself is very much the property of the blog author who can control the timing and content of entries, as well as the overall look and feel of the blog. This allows the author to express elements of their personality through the blog so encouraging participation and engagement with blogging related learning activities.

When writing blog entries the author will be aware that generally all postings will be publicly visible. This represents a different audience than is the case for most other academic assignments and will help to develop the author's writing skills.

                  The repeated and regular nature of blog authoring makes it ideal for activities based around reflection which has been recognized as being extremely important to the process of learning.

Public visibility of blogs and the facility for visitors to leave comments means that blogs provide the opportunity for contacts to be made, discussions to be struck up and over time communities to form. The fact that both staff and students can author blogs as equals means that these communities can be more accessible than has previously been the case in academic life.
                   

Thursday, 9 October 2014

Quiz in Mathematics

Multiple Choice Practice
Transformations
Directions:  Choose the best answer. 
1.  If a reflection in the line  y = -x  occurs, then the rule for this reflection is:
       [1]       
      [2]     
      [3] 
      [4] 
 2.  Which of the following transformations is illustrated by the graph at the right?            [1]  dilation
     [2]  reflection in y = x
     [3]  translation
     [4]  reflection in the origin



3.  Under the translation , the point (2,5) becomes
     [1] (3,2)         [2]  (6,10)              [3]  (5,7)             [4]  (4,8)

4.  Which of the following capital letters (if written simply) has at least one line of symmetry?
     [1]  F               [2]  R                    [3]                 [4]  L

5.  Which of the following rules is the composition of a dilation of scale factor 2 following a translation of 3 units to the right? 

     [1] 
     [2] 
     [3] 
     [4] 
6.  Which of the following descriptions (pertaining to the graph at the right) is true?     [1]     [2] 
  [3]  
            

  [4] 
             




7.  Which of the following transformations creates a figure that is similar (but not congruent) to the original figure?      I.  translation             II.  rotation               III.  dilation
    [1]  I only                [2]  II only            [3]  III only           [4]  II and III
8.  Regarding the transformation at the right, do the figures have the same or opposite orientation?        [1]  same              [2]  opposite

 9.  The image of (-2,6) after a dilation with respect to the origin is (-10,30). What is the constant of the dilation?
     [1]  5                 [2]  8                     [3]  10                    [4]  -8

10. What are the coordinates of point T ', the image of point T(-2,5) after a reflection in the origin?  
     [1]  (2,5)            [2]  (2,-5)               [3]  (-2,-5)               [4]  (5,-2)

Tuesday, 7 October 2014

Content of the Lesson Plan

Transformation


Transformation
Moving a shape so that it is in a different position, but still has the same size, area, angles and line lengths.

Turn, flip or slide are the basic moves.

This is an example of a turn (rotational) transformation.

These are Transformations:

Rotation Turn!
Reflection Flip!
Translation Slide!

After any of those transformations (turn, flip or slide), the shape still has the same size, area, angles and line lengths.

Rotation

"Rotation" means turning around a center:

The distance from the center to any point on the shape stays the same.
Every point makes a circle around the center.

Here a triangle is rotated around
the point marked with a "+"

Reflection

Reflections are everywhere ... in mirrors, glass, and here in a lake.
... what do you notice ?
Reflection in Lake Reflection Illustrated
Every point is the same distance from the central line !
... and ...
The reflection has the same size as the original image
The central line is called the Mirror Line ...

Translation

In Geometry, "Translation" simply means Moving ...
... without rotating, resizing or anything else, just moving.
To Translate a shape:
Every point of the shape must move:
  • the same distance
  • in the same direction.
To see how this works, try translating
different shapes here:

 

Resizing

The other important Transformation is Resizing (also called dilation, contraction, compression, enlargement or even expansion). The shape becomes bigger or smaller:
Resizing

Congruent or Similar

If one shape can become another using only Turns, Flips and/or Slides, then the two shapes are called Congruent.
Two shapes are Similar if you need to Resize for one shape to become another (you may also Turn, Flip and/or Slide).
So, if one shape can become another using transformation, the two shapes might be Congruent or just Similar
If one shape becomes another ... The shapes are ...
... using only Rotate, Reflect and/or Translate 

Congruent

... using a Resize (may also Rotate, Reflect
and/or Translate)

Similar

SOURCE: http://www.mathsisfun.com/geometry/translation.html

Lesson Plan in Mathematics

Semi-Detailed Lesson Plan in Mathematics (Transformations)

Level: First Year High School
Subjects: Mathematics, Geometry, Transformations

I. Objectives:

A. To recognize Euclidean transformations.
B. To recognize reflections, translations, and rotations.
C. To prove theorems related to transformations.
D. To solve problems involving transformations.
E. To apply transformations to real-world situations.
F. To create designs using transformations.

II. Materials:

papers, protractor, ruler
tangram puzzle
worksheets


III. Procedure:

A. Presentation


Activity - Folding of Paper
The teacher will give an activity that involves the folding of paper and tracing of shapes.

B. Discussion

From the activity, the teacher will point out that geometry is not only the
study of figures but is also the study of the movement of figures.

  • Is the original figure congruent to the other figures?
  • How does the second image compare to the original figure?
C. Input

Definitions:

  • Transformations
  • Reflection
  • Rotation
  • Translation
Theorems:
  • Theorem 18-1
  • Theorem 18-2
  • Theorem 18-3
  • Theorem 18-4
C. Discussion

The above definitions and theorems will be discussed and proved. The teacher will ask the student to give examples of transformations.


D. Activity

Tangram Puzzle
The students will form six groups. Each group is going to make images of animals using tangram puzzle and they will identify the kind of transformation depicted or made after doing the activity.

E. Evaluation

Worksheet

1. Which of the following transformations creates a figure that is similar (but not congruent) to the original figure?
2. How can transformations be applied to real-world situations?

III. Assignment

Drawing
The student will use transformations to move figures and create designs.




SOURCE: http://lessonplansforall.blogspot.com/2009/09/semi-detailed-lesson-plan-in.html