Flocci - Math-Logic - Geometry

KGQs

 

  1. Where do I use geometry in my day to day activities?

  2. What all does the word geometry mean to me?

  3. How is geometry different from drawing?

  4. How and where all can you use geometry?

  5. How do I connect to the symbols of Geometry?

  6. What all one can make and learn by doing geometric construction?

  7. Where all can I see the use of geometry?

  8. What would happen if we did not know about geometry?

  9. How will geometry evolve further?

  10. What all changes can be got in geometry?

  11. How does one understand the use of geometry?

  12. What would happen if the rules of geometry are changed?

  13. What is geometry based on?

  14. What are the components of geometry? How can we play aournd with them to create some conclusions or answer some questions?

  15. How can I form my meaning of geometric principles?

  16. How is geometry used in sports (say foot ball)?

  17. How can play around with 3-D figures and understand them visually?

  18. How do things appear when seen from different points?


Flocci Activities


KGQ, Mi & TS

Raw Material

Recipe

Masala

#1, Logic Comprehension

Used typically in five kinds of activities:

1. Building / structures house, garden, kite)

2. Machines / motion (Cycle, rowing, sawing)

3. Navigation (Maps, astronomy)

4. Art / patterns

5. Measurement

Find the area of your feet. Draw your feet on a graph paper. Now count the number of full squares, number of half squares (two of them will make one full) and number of quarter squares (four of them will make one full). Compare your area with other people’s feet.

Children can come up with some other ways of measuring the area.

#6,Visual, Synthesis

Construction of geometrical shapes and playing around of instruments can itself lead lot of discoveries of concepts and also relations between various shapes and concepts.

Use the different geometrical instruments to make different designs.

The idea is children play around with the instruments to explore and come up with all kinds fo designs. Some sample explorations are give in store.

Try playing the game of prediction - eg what will happen if i keep shifting the center of circle by one cm along a straight line. Draw this free hand and then with an instrument.

#14 Body, Comphrehesion

The Basic Elements of Geometry help to compose shapes and other aspects of geometry by using these basic items.

Point - a point is represent by a dot that you can see and draw on a piece of paper. In reality a point is minuscule and is a single exact location

Line - a line is represented in geometry by a straight edge with arrows pointing in opposite directions signifying that the line continues on forever in those directions.

Line Segment - a straight edge that has two endpoints and stops at those endpoints or points.

Ray - a straight edge that has one endpoint and one arrow that signifies that the edge continues on forever in that single direction.
http://www.slideshare.net/jmol42/basic-geometric-elements

Lets Explore a loop of thread. In a group of 3-4 - using fingers as points – explore different shapes made by the thread.


Start with total three fingers – explore different shapes, sizes, angles, sides, etc. Slide your fingers in different directions to explore.

Now try four fingers and play around with them – don’t be in a hurry to name the shapes made – rather – explore what you see, what each side and shape etc  looks like what relationships can you observe. What is happening when you move points etc.

Using the exploration till now - explore which shape will have maximum area ?

Document which all shapes are formed.

Explore the relationship between different elements - points, sides, area, perimeter etc.


#20, Logical, Comprehension

Coordinates are a set of values that show an exact position.Coordinates are an ordered set of numbers that define the position of a point. If the point is on a plane, then two numbers are used. To define the position of a point in three-dimensional space, we need three.

On maps and graphs it is common to have a pair of numbers to show where a point is: the first number shows the distance along and the second number shows the distance up or down.

Take a map of GK or O campus area - using google map or any other map.
Keep Gk or O campus as the fixed position - call this 0,0

Now draw two lines - one vertical (axis) and one horizontal (axis) crossing at 0,0 - that is at gk or O campus.
Make a list of places which are to be marked and find the coordinates of these places with respect to Gk / O campus. (Coordinates are written as X axis, Y axis measurement)

Children can play a game of coordinates also - mark 0,0 on ground and mark the two axis. Now roll two dice - one for Y axis and one for X axis and you stand at the point of these coordinates.

#17,  Visual, Evaluation

Isometric Drawings - give a 3-D perspective of shapes and are both visually challenging as well as exciting.

Create 3-D drawing of your letter or your names or just have fun with diff 3-D shapes. This can be done using Isometric graph paper or using this fun online app.

Children can further construct what they have drawn using actual blocks (cubes).

#18, People, Analysis

Different point of views, give different geometric dimensions and relationships of shapes of any object - this is important in machine and engineering drawing of any 3-D object (which most objects being engineered anyway are)

Team of 3 people. Choose any day to day  object - say a basket or a mobile phone or a torch etc. One person draws from front, one fro side and one from top. All three combine and see how their drawings differ and how they are same and how these tell them about the object.

See if children can identify objects where either two views or all three views will be Same or very similar.



Store

Geometrical Instruments exploration

  1. Use a compass to draw a circle. Draw a straight line in any direction from the center. Make another circle of the same size by moving the center by one centimeter on the straight line.

  2. Use a compass to draw a circle. Draw a circle of same size using ay point on the circumference of the circle. Draw another circle of same size from any point on the circumference of the new circle and so on.

  3. Explore making circles of different sizes, using a compass - but with same center..

  4. Make lines (use a Protractor) all starting from the same point (on a base line) - each line is of a diff length, diff angles to the base line.

  5. Similarly make triangles of diff angles but either same side or same angle but diff size or mix and match of same.

  6. Explore making angles, draw at 20deg, 50 degs etc. In this case keep the base line same.

  7. Use set squares to make different parallel lines. Slide them and see what happens to these parallel lines as we extend them.


Isometric Drawings: See this webpage and this youtube video



More Geometry links

http://www.brainpickings.org/index.php/2012/01/27/schematics-julian-hibbard/

http://www.exploratorium.edu/geometryplayground/Activities/GeometricShapesChart.pdf

http://www.nsa.gov/academia/_files/collected_learning/elementary/geometry/geometry_go_getters.pdf

http://www.mathopenref.com/constructions.html

http://mathforum.org/alejandre/workshops/buckyball.html

http://www.slideshare.net/bjeterravan/geometry-presentation-4168819

http://www.authorstream.com/Presentation/suhas93-119197-geometry-real-life-daily-science-technology-ppt-powerpoint/

http://alemanygeometry.blogspot.be/2007/12/geometry-story-or-poem.html

https://www.youtube.com/watch?v=kPuI4XyyZUE

http://projects.icbse.com/maths/518.pdf

http://www.mathsisfun.com/measure/introduction.html

 

http://www.projectmaths.ie/documents/coordinate%20geometry_student_activities.pdf