Calculating angles : Calculating angles Lesson objective:
To be able:
to calculate the size of angles
[Level 5/6] Key words:
unknown angles Starter:
Draw an angle of:
90°
180°
360°
Slide 2: a=30° i. How many degrees is this angle? ii. Now the angle a is 30 degrees. b How many degrees is in the angle b? 90° b = 90° - 30° = 60° Example…
Slide 3: a=50° i. How many degrees is this angle? ii. Now the angle a is 50 degrees. b How many degrees is in the angle b? 180° 180° - 50° = 130° Example…
Slide 4: Angles around a point add up to 360° α= 360° - 280° = 80° 150° + 130° = 280°
Slide 5: Examples… Calculate the size of each unknown angle. 110° + 120° = 230° Angles around a point add up to 360°, therefore: α = 360° - 230° = 130° 102° + 98° + 75° = 275° c = 360° - 275° = 85° c = 85°
Slide 6: Angles on a straight line add up to 180° b = 180° - 155° = 25°
Slide 7: Examples… Calculate the size of each unknown angle. α = 180° - 130° = 50° The sum of all angles on a straight line is 180°, therefore: α = 50° 75° + 25° = 100° c = 180° - 80° = 100° c = 100°
Slide 8: The angles in a triangle add up to 180 °. 70° + 30° = 100° 180° - 100° = 180°
Slide 9: Examples… Calculate the size of each unknown angle. 40° + 55° = 95° The angles in a triangle add up to is 180°, therefore: α = 180° - 95° = 85° 35° + 90° = 125° c = 180° - 125° = 55° c = 55°
Slide 10: When two lines intersect, the opposite angles are equal. a = d b = c d = 140° (opposite angles) e =180°-40°= 40° (angles on a straight line)
Slide 11: Examples… Calculate the size of each unknown angle. When two lines intersect, the opposite angles are equal, therefore: α = 50° c = 25°
Slide 12: Work in pairs…
Slide 13: Work in pairs…
Slide 14: More difficult..
Slide 15: The sum of all angles on a straight line is Angles around a point add up to The angles in a triangle add up to When two lines intersect, the opposite angles are 180°. 360°. 180 °. equal. PLENARY...