S1_Level_E_Ch12_Angles - Angles MT H 3 1 7 a Revising Basic...

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Unformatted text preview: Angles MT H 3 1 7 a Revising Basic Angles www.mathsrevision.com Naming Angles Calculating Missing angles Angles in a Triangle Corresponding Angles Alternate Angles Feb 13, 2012 Created by Mr.Lafferty Math Dept Starter Questions Q1. Convert to the 24 hour clock. (a) 7:25 pm (b) 6:50 am www.mathsrevision.com Q2. Q3. Q4. (a) Feb 13, 2012 Write down the type of angle that is less than 90 deg. Calculate 2.34 + 4.7 + 0.12 Round the following to nearest 1000. 12,501 (b) 369,765 Created by Mr.Lafferty Math Dept Type of Angles MTH 317a Learning Intention Success Criteria 1. To be able to identify acute, right angle, obtuse, straight line and reflex angles. www.mathsrevision.com 1. To revise Type of Angles from level D. Feb 13, 2012 Created by Mr.Lafferty Math Dept Type of Angles MT H 3 17a Vertical www.mathsrevision.com Acute less than 90o Horizontal Right Angle exactly 90o Obtuse Between 90o 180o Straight Line Angle exactly 180o Feb 13, 2012 Created by Mr.Lafferty Math Dept reflex over 180o less than 360o Type of Angles MT H 3 17a www.mathsrevision.com Now try Ch12 (page 146) Exercise 1 Feb 13, 2012 Created by Mr.Lafferty Math Dept Starter Questions MTH 317a Q1. Convert to the 12 hour clock. (a) 17:15 (b) 05:40 www.mathsrevision.com Q2. Q3. Q4. (a) Feb 13, 2012 Write down 2 numbers that add to give 8 and multiply to give 15. Calculate 5.65 1.3 Round the following to nearest 100. 13,551 (b) 369,449 Created by Mr.Lafferty Math Dept Naming Angles MTH 317a Learning Intention Success Criteria 1. To be able to name an angle. 2. Understand the difference between the type of angle and the name of an angle. www.mathsrevision.com 1. To explain how we name angles by THREE capital letters with the angle sign. The middle letter being where the angle is. Feb 13, 2012 Created by Mr.Lafferty Math Dept Naming Angles MTH 317a A X www.mathsrevision.com B C Type of angle is acute Name of angle is ABC Z Y Type of angle is obtuse Name of angle is ZYX MIDDLE LETTER IS ALWAYS WHERE THE ANGLE IS ALWAYS 3 CAPITAL LETTERS Feb 13, 2012 Created by Mr.Lafferty Math Dept Naming Angles MT H 3 17a www.mathsrevision.com Now try Ch12 (page 147) Exercise 2 Feb 13, 2012 Created by Mr.Lafferty Math Dept Starter Questions MTH 317a 1. Calculat e: www.mathsrevision.com ( a ) 6 7 ( b ) 10 + ( 3 ) ( c ) 2 12 Q 2 . Co nve r t t o 12 h r s c lo c k ( a) 2 3 0 0 h r s ( b ) 14 2 3 h r s Q .3 S o lve 5 x 4 5 = 7 0 Feb 13, 2012 Created by Mr.Lafferty Math Dept Find Missing Angles MTH 317a Learning Intention Success Criteria 1. To know 360o in a circle. 2. Find missing angle given all other angles. www.mathsrevision.com 1. To calculate missing angle give all other angles. Feb 13, 2012 Created by Mr.Lafferty Math Dept Find Missing Angle MTH 317a 55o www.mathsrevision.com 35 Two angles making a o right angle add up to 90 (Complementary angles) o 115o 65 o Two angles making a o straight line add up to 180 (Supplementary angles) 146o 34 o Angles opposite each other at a cross are equal. Feb 13, 2012 146o 34 o 120 o Angles round a point o always add up to 360 Created by Mr.Lafferty Math Dept 145o 95 o Find Missing Angle Now try Ch12 (page 149) Exercise 3 www.mathsrevision.com Feb 13, 2012 Created by Mr.Lafferty Math Dept Starter Questions 1. Solve t he equat ion 5x - 3 =18 (decimal value) Calculat e (- 13) +(- 1)- 15 Calculat e x: Change 790cm int o m W hat is t he coordinat e C(- 8,- 4) ref lect ed in t he x - axis? x o www.mathsrevision.com 2. 3. 4. 5. 75 o Feb 13, 2012 Created by Mr.Lafferty Math Dept Sum of Angles in a Triangle MTH 317a www.mathsrevision.com Le a rn in g In te ntio n 1. T o s h o w th a t a ll th e a n g le s o in a tria ng le s u m to 1 8 0 . S uc c e s s C rite ria 1. T o kn o w a ll a ng le s in a kno o tria n g le a d d to 1 8 0 . 2. Us e kno wle d g e to s o lve p ro b le m s . Feb 13, 2012 Created by Mr.Lafferty Math Dept To determine the angle sum of any Triangle MTH 317a www.mathsrevision.com Cut off corners Cut off corners Cut off corners Feb 13, 2012 Created by Mr.Lafferty Math Dept angle sum of any Triangle MTH 317a www.mathsrevision.com All angles in a triangle ALWAYS o added up to180 Feb 13, 2012 Created by Mr.Lafferty Math Dept 180 o Sum of Angles in a Triangle MTH 317a Copy out the following triangles and find the missing angles. www.mathsrevision.com x 87 o o 50 o 38 o 32 o x o x o x o Remember all the angles add up to 180 Feb 13, 2012 Created by Mr.Lafferty Math Dept o Sum of Angles in a Triangle MT H 3 17a www.mathsrevision.com Now try Ch12 (page 151) Exercise 4 starter at Q3 Feb 13, 2012 Created by Mr.Lafferty Math Dept Starter Questions Q1. Solve the equation below www.mathsrevision.com Q2. Find two numbers that multiply to give 18 and subtract to give 3. Find the average and range of the numbers below 2,8,8,10 2 x + 16 = 2 8 Q3. Q4. Find 6 0 % o f 2 4 0 Feb 13, 2012 Created by Mr.Lafferty Math Dept Angles MTH 317a Corresponding Angles Learning Intention Success Criteria 1. To understand the term corresponding angles. 2. To be able to use property to solve problems. www.mathsrevision.com 1. To explain the term corresponding angles and show how we use the property to solve problems. Feb 13, 2012 Created by Mr.Lafferty Math Dept Angles MT H 3 1 7 a Corresponding Angles www.mathsrevision.com Which angles are equal? Feb 13, 2012 Created by Mr.Lafferty Math Dept Angles MT H 3 1 7 a Corresponding Angles www.mathsrevision.com Which angles are equal? Feb 13, 2012 Created by Mr.Lafferty Math Dept Angles MT H 3 1 7 a Corresponding Angles Which angles are equal to the shaded angle? www.mathsrevision.com Feb 13, 2012 Created by Mr.Lafferty Math Dept Angles MT H 3 1 7 a www.mathsrevision.com Which angles are equal to the shaded angle? Feb 13, 2012 Created by Mr.Lafferty Math Dept Angles MTH 317a Corresponding Angles www.mathsrevision.com look for shapes Feb 13, 2012 Created by Mr.Lafferty Math Dept Angles MTH 317a Corresponding Angles What is the value of letter x? www.mathsrevision.com 120 120 x Feb 13, 2012 Created by Mr.Lafferty Math Dept Angles MTH 317a Corresponding Angles www.mathsrevision.com 100 What is the value of letter a? 100 a Feb 13, 2012 Created by Mr.Lafferty Math Dept Angles MTH 317a Corresponding Angles b 48 www.mathsrevision.com 48 What is the value of letter b? Feb 13, 2012 Created by Mr.Lafferty Math Dept Angles MTH 317a Corresponding Angles What is the value of letter c? www.mathsrevision.com 110 110 c Feb 13, 2012 Created by Mr.Lafferty Math Dept Angles MTH 317a 70 70 Corresponding Angles www.mathsrevision.com b10 1 a What are the values of letters a and b? Feb 13, 2012 Created by Mr.Lafferty Math Dept Angles MTH 317a Corresponding Angles www.mathsrevision.com 115 115 65 What are the values of the missing angles? Feb 13, 2012 Created by Mr.Lafferty Math Dept Angles MTH 317a Corresponding Angles What are the values of the missing angles? 123 123 57 www.mathsrevision.com Feb 13, 2012 Created by Mr.Lafferty Math Dept Angles MTH 317a Corresponding Angles What are the values of the missing angles? www.mathsrevision.com 75o 65o 115o 65o 115o 40o 140o 40o 140o Feb 13, 2012 Created by Mr.Lafferty Math Dept Angles MTH 317a Corresponding Angles www.mathsrevision.com Now try Exercise 5 Ch12 (page 154) Feb 13, 2012 Created by Mr.Lafferty Math Dept Starter Questions MTH 317a Q1. Solve the equation below Find two numbers that multiply to give 48 and divide to give 3. Find missing angles 119o ao bo www.mathsrevision.com Q2. 4x -7 = 9 Q3. Feb 13, 2012 Created by Mr.Lafferty Math Dept Angles MTH 317a Alternate Angles Learning Intention Success Criteria 1. To understand the term alternate angles. 2. To be able to use property to solve problems. www.mathsrevision.com 1. To explain the term alternate angles and show how we use the property to solve problems. Feb 13, 2012 Created by Mr.Lafferty Math Dept Angles MTH 317a Alternate Angles www.mathsrevision.com Look for Z shapes = equal angles Feb 13, 2012 Created by Mr.Lafferty Math Dept Angles MTH 317a Alternate Angles Find the value of a ? www.mathsrevision.com 35 35 a Feb 13, 2012 Created by Mr.Lafferty Math Dept Angles MTH 317a Alternate Angles 43 b www.mathsrevision.com Find the value of b ? 43 Feb 13, 2012 Created by Mr.Lafferty Math Dept Angles MTH 317a Alternate Angles Find the value of c ? www.mathsrevision.com 33 33 c Feb 13, 2012 Created by Mr.Lafferty Math Dept Angles MTH 317a Alternate Angles 123 www.mathsrevision.com Find the value of d ? 123 d Feb 13, 2012 Created by Mr.Lafferty Math Dept Angles MTH 317a Alternate Angles 50 www.mathsrevision.com Find the value a and b ? 130 b 50 a Feb 13, 2012 Created by Mr.Lafferty Math Dept Angles MTH 317a Alternate Angles www.mathsrevision.com 135 c 45 Find the value of c and d ? 45 d Feb 13, 2012 Created by Mr.Lafferty Math Dept Angles MTH 317a Alternate Angles 60 1 c20 www.mathsrevision.com Find the value a, b and c ? b 120 60 a Feb 13, 2012 Created by Mr.Lafferty Math Dept Angles MTH 317a Alternate Angles www.mathsrevision.com Now try Exercise 6 Ch12 (page 157) Feb 13, 2012 Created by Mr.Lafferty Math Dept ...
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