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Quadrilaterals-Activity-Mid-point theorem (view source)
Revision as of 12:43, 7 November 2019
, 12:43, 7 November 2019no edit summary
=== Objectives ===
=== Objectives ===
# Understand properties of triangles – a segment connecting mid-points of two sides of a triangle will be parallel to the third side and its length will be half of the third side
# To guide and facilitate student exploration of the properties of triangles, specifically – a segment connecting mid-points of two sides of a triangle will be parallel to the third side and its length will be half of the third side.
# Demonstrate that the line joining the mid-points of any two sides of a triangle is parallel to the third side and equals to half the third side
# To introduce theorems associated with triangles
# To demonstrate the steps of logical proof and the processes
# Understand properties of triangles
=== Estimated Time ===
=== Estimated Time ===
=== Prerequisites/Instructions, prior preparations, if any ===
=== Prerequisites/Instructions, prior preparations, if any ===
An understanding of the basic elements of geometry. Students are familiar with angles and parallel lines, and have been introduced to the concepts of parallelogram
=== Materials/ Resources needed ===
=== Materials/ Resources needed ===
Work sheet
Work sheet
Each group member will construct on her / his notebook, using pencil, scale, protractor, and compass a triangle, with the measures provided
Each group member will construct on her / his notebook, using pencil, scale, protractor, and compass a triangle, with the measures provided. You can make chits that have triangle measures. You can even repeat them. For a group give the following. One acute. One obtuse. One equilateral. One isosceles. One right. Provide only measures, for e.g.
# Draw a triangle with following measures - BC = 6 cms, AC = 7 cms, AB = 8 cms (BC as the base)
# Draw a triangle with following measures BC = 8 cms, angle B = 110, AB = 6 cms (BC as the base)
# Draw a triangle with following measures BC = 10 cms, angle B = 60, angle C = 60 (BC as the base)
# Draw a triangle with following measures BC = 12 cms, angle B = 90, AC = 13 cms (BC as the base)
# Draw a triangle with following measures BC = 8 cms, angle B = 40, angle C = 40 (BC as the base)
# Draw a triangle with following measures BC = 6 cms, angle B = 110, AB = 5 cms (BC as the base)
# Draw a triangle with following measures BC = 8 cms, angle B = 60, angle C = 40 (BC as the base)
# Students should plot the mid-point of two sides and connect these with a line segment. Show [[:File:Mid-point theorem 1.ggb|Mid-point theorem1.ggb]] step by step.
Each group gets this set and each member picks one chit and makes a sketch
# Students should plot the mid-point of two sides (Segment AB, and AC, as D and E) and connect these with a line segment (Join these mid-points D and E. Label it Segment DE). Show [[:File:Mid-point theorem 1.ggb|Mid-point theorem1.ggb]] step by step.
## They should measure the length of this segment and length of the third side and check if there is any relationship
## They should measure the length of this segment and length of the third side and check if there is any relationship
## They should measure the angles formed at the two vertices connecting the third side, with the two angles formed on the two mid-points
## They should measure the angles formed at the two vertices connecting the third side, with the two angles formed on the two mid-points