Lessons and Activities GEOMETRY Elementary Geometric Drawings Angles Angle Bisector Perpendicular Bisector 1
Lessons and Activities POLYGONS are PLANE SHAPES (figures) with at least 3 STRAIGHT sides and 3 angles 2
Lessons and Activities THEY CAN BE REGULAR POLYGONS 3
Lessons and Activities EQUILATERAL TRIANGLE You can draw it knowing its side 4
Lessons and Activities You can draw it knowing its CIRCUMSCRIBED CIRCLE How to GET the INSCRIBED CIRCLE 5
Lessons and Activities How to GET the CIRCUMSCRIBED CIRCLE In an EQUILATERAL triangle both CIRCLES have the same CENTER Because PERPENDICULAR bisectors and ANGLE bisectors are the same LINES 6
Lessons and Activities SQUARE You can draw it knowing its side 7
Lessons and Activities You can draw it knowing its CIRCUMSCRIBED CIRCLE You ONLY have to DRAW a DIAMETER and then DRAW the PERPENDICULAR BISECTOR of this DIAMETER 8
Lessons and Activities REGULAR PENTAGON You can draw it knowing its CIRCUMSCRIBED CIRCLE 9
Lessons and Activities REGULAR HEXAGON You can draw it knowing its CIRCUMSCRIBED CIRCLE 10
Lessons and Activities You can draw it knowing its side 11
Name and Surname: Draw a 60º angle with its vertex in B. Draw a 90º angle with its vertex in A. Draw a 15º angle with its vertex in A. Class: Draw a 45º angle with its vertex in A. A B A B A B A B Draw the PERPENDICULAR BISECTOR of both SEGMENTS. Draw the ANGLE BISECTOR of both ANGLES. Draw a CERCLE passing through A, B and C. Draw an EQUILATERAL triangle knowing its AB SIDE. B A B A A B B A C A B Draw an EQUILATERAL triangle knowing its CIRCUMSCRIBED circle. Draw the CIRCUMSCRIBED circle of this triangle. Draw the INSCRIBED circle of this triangle. Would you be able to draw a REGULAR HEXAGON knowing its circumscribed circle?
Technical Drawing Name and Surname: Draw a 60º angle. Put the VERTEX on the point A. Draw a 30º angle. Put the VERTEX on the point A. Draw a 120º angle. Put the VERTEX on the point B. A B A B A B Draw an EQUILATERAL TRIANGLE with a SIDE of 8 cm. Draw a REGULAR HEXAGON inscribed in the circle. Draw a REGULAR PENTAGON inscribed in the circle.
Name and Surname: Draw a REGULAR PENTAGON inscribed in this circle. Draw a REGULAR HEXAGON knowing its SIDE AB. Would you be able of drawing this? Paint it when it is done. Class: A B Would you be able of drawing a STAR POLYGON of 12 VERTEXS inscribed in this circle? When it is done, paint it.
Technical Drawing Name and Surname: Draw a REGULAR PENTAGON using its SIDE. Draw a REGULAR HEXAGON using its SIDE. A B A B Draw a REGULAR OCTAGON inscribed in the circle. Draw a REGULAR NONAGON.
Technical Drawing Name and Surname: Star Polygons Draw a STAR OCTAGON (8/3) (radius: 5 cm.) Draw a STAR DECAGON (10/3) (radius: 5 cm.) Draw a STAR HENDECAGON (11/4) (diameter: 16,5 cm.)
Technical Drawing Now you know how to draw a regular pentagon and a regular hexagon. Here you have some ideas of PATTERNS made using PENTAGONS or HEXAGONS. In the square on the right draw a pattern. Use pentagons or hexagons (or both). You can follow the exemples or invent your own pattern. pentagon hexagon Name and Surname:
Self Assessment Name: Surname: Do I like? YES NO Have I understood teacher's explanations? YES NO Sometimes Not at all It has been difficult to understand the specific vocabulary? YES NO Some words Do I know how to draw an Angle Bisector and a Perpendicular Bisector? YES NO Do I know the difference between Regular and Irregular Polygons? YES NO YES, all of them Most of them Only the half Few of them None of them Have I done properly the different exercises about polygons? Have I used properly the different drawing tools? (Set square, pair of compasses,...) YES NO Have I done clean drawings? YES NO Have I done the exercises with interest? YES NO 1
Self Assessment Explain with your own words all you have learned in this lesson. Explain with your own words all you have to improve. Do you think teacher's explanations have been enough to understand this lesson? YES NO What things would you like to change in this lesson? 2