Constructions

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Physical Constructions with a compass.

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PHYSICAL CONSTRUCTION #1:

Watch this video :


(unedited: https://www.youtube.com/watch?v=kmTyU8xugUA from 1:32 to 2:23)
Now on your paper...
  • Draw a circle with center A, and a radius of 3cm
  • Draw a circle with center A, and a radius of 5cm
Different sized circles with the same center are called concentric.

PHYSICAL CONSTRUCTION #2 :

Watch this video


(unedited: https://www.youtube.com/watch?v=kmTyU8xugUA from 2:45 to 4:01)
Draw the flower!

PHYSICAL CONSTRUCTION #3 :

Watch this video, and draw a perpendicular bisector of segment AB

Draw the perpendicular bisector of segment XY

PHYSICAL CONSTRUCTION #4 :

Watch this video, and draw the bisector of the angle


PHYSICAL CONSTRUCTION #5 :

Watch this video, and draw an equilateral triangle. (all 3 sides have the same length)


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. GEOGEBRA CONSTRUCTIONS


Introduction:
  • Download GEOGEBRA: Go to geogebra.org à software à GeoGebra Chrome App à Add to chrome
  • From now on you can access it as an APP.
  • Launch it.
  • Select GEOMETRY.
  • Open a new tab, go to http://www.sophia.org/tutorials/geogebra-basics-geometry
  • Scroll down and watch the two videos "How to construct a polygon" "How NOT to construct a polygon"






GEOGEBRA CONSTRUCTION #1 :

Create Perpendicular lines:
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Call your teacher over to check it before going on to the next construction

GEOGEBRA CONSTRUCTION #2 :

Create Parallel lines:
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Call your teacher over to check it before going on to the next construction

GEOGEBRA CONSTRUCTION #3 :

Create a Perpendicular Bisector:
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Call your teacher over to check it before going on to the next construction

GEOGEBRA CONSTRUCTION #4 :

Create an Angle Bisector:
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Call your teacher over to check it before going on to the next construction

GEOGEBRA CONSTRUCTION #5 :

Rectangle: Watch this video (no sound) and mimic it to create a rectangle.

After you have made your rectangle, you will notice that you have all these extra parts on the screen.
Hide them by right clicking, and uncheck "show object"
Do this until you have ONLY a rectangle, and no extra lines.

Call your teacher over to check it before going on to the next construction

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SPREADSHEETS


SPREADSHEET #1 :

Open your Google drive, and select NEW --> Google Sheets

We know that the angles of a triangle add up to 180.
You are going to write a simple spreadsheet program that if you type in 2 of the angles, it will calculate the third for you.

  • Click on box B2
  • Type (in B2): The first angle is
  • Click on box D2
  • Type (in D2): The second angle is
  • Click on box F2
  • Type (in F2): The third angle is
  • These are descriptions, we are going to put the actual measurements in the boxes below.
  • In box B3 type the number 40
  • In box D3, type the number 60
  • If those are two of the angles in a triangle, we know that we can subtract them from 180 to find the third angle. BUT WE ARE GOING TO HAVE THE COMPUTER DO THAT FOR US, and it will write the answer in F3
  • Click on box F3
  • Type "=180-B3-D3"
  • (don't include the quotes)
  • Hit enter
  • Box F3 should automatically change to 80!
  • Type any angle measures in B3 and D3, and F3 should automatically calculate what 180 minus those numbers should be



Call your teacher over to check it before going on to the next construction