Angles Revising Basic Angles Naming Angles Calculating Missing
Angles Revising Basic Angles Naming Angles Calculating Missing angles Angles in a Triangle Corresponding Angles Alternate Angles
Type of Angles Learning Intention Success Criteria 1. To revise Type of Angles from level D. 1. To be able to identify acute, right-angle, obtuse, straight line and reflex angles.
Type of Angles Acute less than 90 o Horizontal Right Angle exactly 90 o Straight Line Angle exactly 180 o Vertical Obtuse Between 90 o – 180 o reflex over 180 o less than 360 o
Naming Angles Learning Intention Success Criteria 1. To explain how we name angles by THREE capital letters with the angle sign. The middle letter being where the angle is. 1. To be able to name an angle. 2. Understand the difference between the type of angle and the name of an angle.
Naming Angles A B C Z X Y Type of angle is acute Type of angle is obtuse Name of angle is ∠ ABC Name of angle is ∠ ZYX MIDDLE LETTER IS ALWAYS WHERE THE ANGLE IS ALWAYS 3 CAPITAL LETTERS
Find Missing Angles Learning Intention Success Criteria 1. To calculate missing angle give all other angles. 1. To know 360 o in a circle. 2. Find missing angle given all other angles.
Find Missing Angle 55 o 35 o Two angles making a o right angle add up to 90 (Complementary angles) 146 o 34 146 o o Angles opposite each other at a cross are equal. 115 o 65 o Two angles making a o straight line add up to 180 (Supplementary angles) 120 95 o o 145 o Angles round a point o always add up to 360
Starter Questions x o 75 o
Sum of Angles in a Triangle Learning Intention Success Criteria 1. To show that all the angles o in a triangle sum to 180. 1. To know all angles in a o triangle add to 180. 2. Use knowledge to solve problems.
To determine the angle sum of any Triangle Cut off corners
Sum of angles in ANY Triangle 180 o All angles in a triangle ALWAYS o added up to 180
Sum of Angles in a Triangle Copy out the following triangles and find the missing angles. x 87 o 50 o 32 o x o 38 o x o o Remember all the angles add up to 180 o
Angles Corresponding Angles Learning Intention 1. Success Criteria To explain the term corresponding angles and show we use the property to solve problems. 1. To understand the term corresponding angles. 2. To be able to use property to solve problems.
Angles Alternate Angles Look for F shapes = equal angles
Angles Corresponding Angles Which angles are equal?
Angles Corresponding Angles Which angles are equal?
Angles Corresponding Angles Which angles are equal to the shaded angle?
Angles Which angles are equal to the shaded angle?
Angles Corresponding Angles look for shapes
Angles Corresponding Angles What is the value of letter x? 120 x
Angles Corresponding Angles 100 What is the value of letter a? 100 a
Angles Corresponding Angles b 48 48 What is the value of letter b?
Angles Corresponding Angles What is the value of letter c? 110 c
Angles Corresponding Angles 70 b 110 a What are the values of letters a and b?
Angles Corresponding Angles 115 65 What are the values of the missing angles?
Angles Corresponding Angles 123 57 What are the values of the missing angles? 123
Angles Corresponding Angles What are the values of the missing angles? 75 o 65 o 115 o 40 o 140 o
Q 1. Q 2. Q 3. Starter Questions Solve the equation below Find two numbers that multiply to give 48 and divide to give 3. Find missing angles 119 o bo ao
Angles Alternate Angles Learning Intention 1. Success Criteria To explain the term alternate angles and show we use the property to solve problems. 1. To understand the term alternate angles. 2. To be able to use property to solve problems.
Angles Alternate Angles Look for - Z shapes = equal angles
Angles Alternate Angles Find the value of a ? 35 35 a
Angles Alternate Angles b 43 Find the value of b ? 43
Angles Alternate Angles Find the value of c ? 33 33 c
Angles Alternate Angles 123 Find the value of d ? d 123
Angles Alternate Angles 50 Find the value a and b ? 130 b a 50
Angles Alternate Angles 135 Find the value of c and d ? c 45 45 d
Angles Alternate Angles 60 120 c Find the value a, b and c ? a b 60 120
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