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Lesson Plan-Grade 8

Lesson Title: Angle measures

State Standards: MA.8.G.2.3- Demonstrate that the sum of the angles in a triangle is 180-degrees and apply this fact to find unknown measure of angles and the sum of angles in polygons

Grade : 8 (FCAT)

Subject: Mathematics

Teaching Aids: Power Point slides

Objectives:

1. Students can prove that the sum of the angles in a triangle is 1800 by geometrical method.

2. Students will identify the missing angle in a triangle when other two angles are given.

3. Students can calculate the sum of the angles of a polygon by dividing into number of triangles.

Lesson Procedure and Evaluation:

Recapitulation (10 mins):

The student needs to recall the types of angles , types of triangles and different polygons based on sides.

Explanation: (40 mins)

Activity 1: Help the student prove sum of the angles in a triangle is 1800.

Use the concepts  “alternate angles are equal” and “ exterior angle = sum of two opposite interior angles” to prove the above statement

Activity 2: Using the statement “sum of the angles in a triangle is 1800” the student needs to find missing angle in a given triangle and find all the angles if it is an Isosceles triangle when only one angle is given 

Ex: In ∆ABC, if angle A = 700, angle B = 450, then find angle c.

 Sol: angle c = 1800 – (700 + 450) = 650.

Activity 3: Finding the sum of angles in a hexagon.

          To find the sum of the angles in a hexagon we divide it into 4 triangles from a vertex. So 4 x 1800  = 7200 is the sum of interior angles of a hexagon.

Recapitulation and Evaluation: (10 mins)

  1. If in a triangle two angles are 550 and 850 find the third angle.
  1. The unequal angle of an isosceles triangle is 300 Find the other angles
  1. Find the sum of the interior angles of an octagon.