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Revising Basic Angles

Angles. MTH 3-17a. Revising Basic Angles. Naming Angles. Calculating Missing angles. Angles in a Triangle. www.mathsrevision.com. Corresponding Angles. Alternate Angles. Starter Questions. Q1. Convert to the 24 hour clock. (b) 6:50 am. (a) 7:25 pm. Q2. Write down the type of angle

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Revising Basic Angles

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  1. Angles MTH 3-17a Revising Basic Angles Naming Angles Calculating Missing angles Angles in a Triangle www.mathsrevision.com Corresponding Angles Alternate Angles Created by Mr.Lafferty Math Dept

  2. Starter Questions Q1. Convert to the 24 hour clock. (b) 6:50 am (a) 7:25 pm Q2. Write down the type of angle that is less than 90 deg. www.mathsrevision.com Q3. Calculate 2.34 + 4.7 + 0.12 Q4. Round the following to nearest 1000. (a) 12,501 (b) 369,765 Created by Mr.Lafferty Math Dept

  3. Type of Angles MTH 3-17a Learning Intention Success Criteria • To be able to identify acute, right-angle, obtuse, straight line and reflex angles. • To revise Type of Angles from Level 2. www.mathsrevision.com Created by Mr.Lafferty Math Dept

  4. Vertical Horizontal Type of Angles MTH 3-17a Acute less than 90o Obtuse Between 90o – 180o Right Angle exactly 90o www.mathsrevision.com Straight Line Angle exactly 180o reflex over 180o less than 360o Created by Mr.Lafferty Math Dept

  5. Type of Angles MTH 3-17a Now try Ch12 (page 146) Exercise 1 www.mathsrevision.com Created by Mr.Lafferty Math Dept

  6. Starter Questions MTH 3-17a Q1. Convert to the 12 hour clock. (b) 05:40 (a) 17:15 Q2. Write down 2 numbers that add to give 8 and multiply to give 15. www.mathsrevision.com Q3. Calculate 5.65 – 1.3 Q4. Round the following to nearest 100. (a) 13,551 (b) 369,449 Created by Mr.Lafferty Math Dept

  7. Naming Angles MTH 3-17a Learning Intention Success Criteria • Remember how to name an angle. • We are learning how we name angles by THREE capital letters with the angle sign. • Understand the difference between the type of angle and the name of an angle. www.mathsrevision.com Created by Mr.Lafferty Math Dept

  8. Naming Angles MTH 3-17a A X Y B Z C Type of angle is acute Type of angle is obtuse www.mathsrevision.com Name of angle is ∠ ABC Name of angle is ∠ ZYX MIDDLE LETTER IS ALWAYS WHERE THE ANGLE IS ALWAYS 3 CAPITAL LETTERS Created by Mr.Lafferty Math Dept

  9. Naming Angles MTH 3-17a Now try Ch12 (page 147) Exercise 2 www.mathsrevision.com Created by Mr.Lafferty Math Dept

  10. MTH 3-17a Starter Questions www.mathsrevision.com Created by Mr.Lafferty Math Dept

  11. Find Missing Angles MTH 3-17a Learning Intention Success Criteria • We are learning to calculate a missing angle. • Remember 360oin a circle. www.mathsrevision.com • Find missing angle given all other angles. Created by Mr.Lafferty Math Dept

  12. Find Missing Angle 65o 35o 95o 120o 34o 34o MTH 3-17a 55o 115o DEMO Two angles making a right angle add up to 90o (Complementary angles) Two angles making a straight line add up to 180o (Supplementary angles) www.mathsrevision.com 146o 145o 146o Angles round a point always add up to 360o Angles opposite each other at a cross are equal. Created by Mr.Lafferty Math Dept

  13. Find Missing Angle Now try Ch12 (page 149) Exercise 3 www.mathsrevision.com Created by Mr.Lafferty Math Dept

  14. xo 75o Starter Questions www.mathsrevision.com Created by Mr.Lafferty Math Dept

  15. MTH 3-17a Sum of Angles in a Triangle Learning Intention Success Criteria • Remember all angles in a triangle add to 180o. • We are learning that all the angles in a triangle sum to 180o. www.mathsrevision.com • Apply knowledge to solve problems. Created by Mr.Lafferty Math Dept

  16. To determine the angle sum of any Triangle MTH 3-17a Cut off corners  Cut off corners  www.mathsrevision.com Cut off corners  Created by Mr.Lafferty Math Dept

  17. All angles in a triangle ALWAYS added up to180o Sum of angles in ANY Triangle MTH 3-17a DEMO www.mathsrevision.com 180o Created by Mr.Lafferty Math Dept

  18. 38o 50o MTH 3-17a Sum of Angles in a Triangle Copy out the following triangles and find the missing angles. xo 87o www.mathsrevision.com xo 32o xo xo Remember all the angles add up to 180o Created by Mr.Lafferty Math Dept

  19. Sum of Angles in a Triangle MTH 3-17a Now try Ch12 (page 151) Exercise 4 starter at Q3 www.mathsrevision.com Created by Mr.Lafferty Math Dept

  20. Starter Questions Q1. Solve the equation below Q2. Find two numbers that multiply to give 18 and subtract to give 3. Q3. Find the average and range of the numbers below www.mathsrevision.com 2,8,8,10 Q4. Find Created by Mr.Lafferty Math Dept

  21. Angles Corresponding Angles MTH 3-17a Learning Intention Success Criteria • To understand the term corresponding angles. • 1 We are learning the term corresponding angles. www.mathsrevision.com 2. To be able to apply property to solve problems. Created by Mr.Lafferty Math Dept

  22. Angles Alternate Angles MTH 3-17a DEMO Look for F shapes www.mathsrevision.com = equal angles Created by Mr.Lafferty Math Dept

  23. Angles Corresponding Angles MTH 3-17a DEMO Which angles are equal? www.mathsrevision.com Created by Mr.Lafferty Math Dept

  24. Angles Corresponding Angles MTH 3-17a www.mathsrevision.com Which angles are equal? Created by Mr.Lafferty Math Dept

  25. Angles Corresponding Angles MTH 3-17a Which angles are equal to the shaded angle? www.mathsrevision.com Created by Mr.Lafferty Math Dept

  26. Angles MTH 3-17a Which angles are equal to the shaded angle? www.mathsrevision.com Created by Mr.Lafferty Math Dept

  27. Angles Corresponding Angles MTH 3-17a look for www.mathsrevision.com shapes Created by Mr.Lafferty Math Dept

  28. Angles Corresponding Angles MTH 3-17a What is the value of letter x? 120 www.mathsrevision.com 120 x Created by Mr.Lafferty Math Dept

  29. Angles Corresponding Angles MTH 3-17a 100 What is the value of letter a? www.mathsrevision.com 100 a Created by Mr.Lafferty Math Dept

  30. Angles Corresponding Angles MTH 3-17a b 48 48 www.mathsrevision.com What is the value of letter b? Created by Mr.Lafferty Math Dept

  31. Angles Corresponding Angles MTH 3-17a What is the value of letter c? 110 www.mathsrevision.com 110 c Created by Mr.Lafferty Math Dept

  32. 70 Angles Corresponding Angles MTH 3-17a 70 What are the values of letters a and b? b 110 www.mathsrevision.com a Created by Mr.Lafferty Math Dept

  33. 65 65 115 Angles Corresponding Angles MTH 3-17a www.mathsrevision.com What are the values of the missing angles? 115 Created by Mr.Lafferty Math Dept

  34. 57 Angles Corresponding Angles 123 MTH 3-17a 57 What are the values of the missing angles? 123 www.mathsrevision.com Created by Mr.Lafferty Math Dept

  35. Angles Corresponding Angles MTH 3-17a What are the values of the missing angles? 75o 65o 40o 115o 140o www.mathsrevision.com 65o 40o 115o 140o Created by Mr.Lafferty Math Dept

  36. Angles Corresponding Angles MTH 3-17a Now try Exercise 5 Ch12 (page 154) www.mathsrevision.com Created by Mr.Lafferty Math Dept

  37. Starter Questions MTH 3-17a Q1. Solve the equation below Q2. Find two numbers that multiply to give 48 and divide to give 3. 119o Q3. Find missing angles www.mathsrevision.com bo ao Created by Mr.Lafferty Math Dept

  38. Angles Alternate Angles MTH 3-17a Learning Intention Success Criteria • To understand the term alternate angles. • 1. We are learning the term alternate angles. www.mathsrevision.com 2. To be able to apply property to solve problems. Created by Mr.Lafferty Math Dept

  39. Angles Alternate Angles MTH 3-17a DEMO Look for - Z shapes www.mathsrevision.com = equal angles Created by Mr.Lafferty Math Dept

  40. Angles Alternate Angles MTH 3-17a Find the value of a ? 35 www.mathsrevision.com a 35 Created by Mr.Lafferty Math Dept

  41. Angles Alternate Angles MTH 3-17a b 43 Find the value of b ? www.mathsrevision.com 43 Created by Mr.Lafferty Math Dept

  42. Angles Alternate Angles MTH 3-17a Find the value of c ? 33 www.mathsrevision.com c 33 Created by Mr.Lafferty Math Dept

  43. Angles Alternate Angles MTH 3-17a 123 Find the value of d ? www.mathsrevision.com d 123 Created by Mr.Lafferty Math Dept

  44. Angles Alternate Angles MTH 3-17a 50 Find the value a and b ? www.mathsrevision.com 130 b a 50 Created by Mr.Lafferty Math Dept

  45. Angles Alternate Angles MTH 3-17a 135 Find the value of c and d ? c 45 www.mathsrevision.com 45 d Created by Mr.Lafferty Math Dept

  46. Angles Alternate Angles MTH 3-17a 60 c 120 Find the value a, b and c ? www.mathsrevision.com 60 a b 120 Created by Mr.Lafferty Math Dept

  47. Angles Alternate Angles MTH 3-17a Now try Exercise 6 Ch12 (page 157) www.mathsrevision.com Created by Mr.Lafferty Math Dept

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