Geometry Notes PowerPoint

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Geometry Notes PowerPoint

  1. 1. Geometry{Shapes, Lines and Angles}<br />
  2. 2. Introduction<br />Geometry is all about…<br />Shapes<br />Lines<br />Angles <br />
  3. 3. Angles<br />Question:<br />What is an “angle”?<br />Answer:<br />An angle is the amount of rotation needed to <br />turn from one direction to look in a different direction<br />
  4. 4. Angles<br />Question:<br />How do we measure the size of an angle?<br />Answer:<br />Using a protractor<br />
  5. 5. Types of Angles<br />Question:<br />What are the different types of angles?<br />Answer:<br />There are 5 types of angles… Acute angles, a right angle, reflex angles, a straight angle and obtuse angles<br />
  6. 6.
  7. 7. Types of Angles<br />
  8. 8. Types of Angles<br />Reflex Angle<br />Right Angle<br />Acute Angle<br />Straight Angle<br />Obtuse Angle<br />Full Rotation<br />
  9. 9. Complimentary and Supplementary Angles<br />Question:<br />What are complimentary and supplementary angles?<br />Answer:<br />Complimentary angles are angles that add to 90o<br />Supplementary angles are angles that add to 180o<br />
  10. 10. Types of Angles<br />Complimentary Angles<br />Supplementary Angles<br />a = 90 − b <br /> <br />a = 180 − b <br /> <br />b = 90 − a <br /> <br />b = 180 − a <br /> <br />
  11. 11. Let’s see how we are going so far…<br />So that you can check if you understand the information that you have just been explained to you, have a go at the following questions from your textbook…<br />Exercise 5A – Questions 2, 3 (a to e) and 4<br />* Please remember to check your answer when you finish each question and get help from your teacher as soon as you can not work out how to do a question!<br />
  12. 12. The Angles Inside Shapes<br />If we draw a triangle, measure the size of the angles in each of the corners and add the angles together we find that the answer is…<br />180o<br />This answer is the same for all triangles!<br />The same thing happens for all shapes that have straight sides; such as squares, pentagons, octagons etc.<br />
  13. 13. The Angles Inside Shapes<br />
  14. 14. Measuring Shapes and Objects<br />We live in a three-dimensional world! Every object you can see has three dimensions that can be measured...<br />Length Width Height<br />The room we are sitting in can be described by these three dimensions, as can the person sitting next to you!<br />
  15. 15.
  16. 16. 3 – Dimensional Shapes<br />An object is called a 2 – dimensional object (i.e. a 2D object) if its size can be measured in only two directions...<br /><ul><li>length and width
  17. 17. length and height
  18. 18. width and height </li></ul>A 3– dimensional object (i.e. a 3D object)has a length, a width and a height.<br />
  19. 19. 3 – Dimensional Shapes<br />All 3D shapes have a “name” which helps us to remember what each shape looks like! <br />3D shapes can also be described by the number of faces, edges and vertices that they have...<br /><ul><li>Faces are the flat sides of the 3D shape
  20. 20. An edge is a line where two faces join together  
  21. 21. A vertice is a corner where three edges join together</li></li></ul><li>Use the interactive window on the next slide to investigate the number of faces, edges and vertices that different shapes have…<br />
  22. 22.
  23. 23. Time for an activity…<br />Ask your teacher for the worksheet called…<br />Faces, Edges and Vertices<br />This worksheet is one of the homework sheets that you must hand in as part of your Learning Assessment!!!<br />

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