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Angles
The document explains the definition and measurement of angles, detailing their parts, types, and naming conventions. It includes specific angle types such as acute, obtuse, right, straight, reflex, and full rotation, and provides instructions on using a protractor for measuring angles. It concludes with review questions and assignments related to the content covered.
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Introduction to angles and their definition; angles are the amount of turn between two rays and are measured in degrees.
Identifying parts of an angle: vertex, arms, the measure in degrees. Focus on understanding each component.
Methods for naming angles using the ∠ symbol with three letters, emphasizing the importance of the vertex.
Overview of different types of angles: acute, obtuse, right, straight, reflex, and full rotation.
Introduction to protractors for measuring angles; procedure for placing the protractor and reading acute angles.
Continued practice on measuring angles using a protractor with a series of examples.
Review questions on angle types, their measures, and naming conventions. Engaging students' prior knowledge.
Hands-on angle measurement activities involving various angles, reinforcing concepts learned earlier and concluding with a brief assignment.
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Angles
- 1. AnglesGrade 7 –Mathematics
- 2. • An angleis defined as the amount of turn between two rays that share a common end point. • Angles are measured in degrees Angles 90°
- 3. Let’s identify the partsof an angle! T X
- 4. Let’s identify the partsof an angle! V E R T E X
- 5. Let’s identify the partsof an angle! R
- 6. Let’s identify the partsof an angle! A R M S
- 7. Let’s identify the partsof an angle! D G
- 8. Let’s identify the partsof an angle! D E G R E E S
- 9. the common point where thetwo rays meet vertex the rays that make up the angle arms the measure of the size of an angle degrees
- 10. Naming Angles 1 One wayis to use the ∠ symbol followed by three letters. The first and third letters indicate points on the two arms. The letter in the middle is the vertex. ∠ __ __ __ A B C ∠ __ __ __ C B A
- 11. Naming Angles using the∠ symbol only with the vertex point. The angle would be called ∠B. by using the ∠ symbol followed by the letter or number between the angle. This would be ∠1. 1 ∠ABC ∠CBA ∠CAB ∠BCA ∠B ∠1
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- 13. Kinds of Angles acute angle lessthan 90° obtuse angle more than 90° less than 180° right angle exactly to 90°
- 14. Kinds of Angles reflex angle morethan 180° Full rotation exactly 360° straight angle exactly to 180°
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- 16. Protractor A tool thatis used to measure angles. outer scale inner scale center
- 17. Measuring Angles Place thecenter of the protractor on the vertex B A B C
- 18. Measuring Angles Place thecenter of the protractor on the vertex B A B C Adjust the 0° baseline of the protractor so that it lines up with line BC
- 19. Measuring Angles Place thecenter of the protractor on the vertex B A B C Adjust the 0° baseline of the protractor so that it lines up with line BC Since the angle is acute and the 0° line or baseline was used from the right, you will take the reading from the inner scale 30°
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- 25. Let’s Review! These areangles whose measure is exactly 90° acute obtuse right straight
- 26. Let’s Review! (90° +45°) is what kind of angle? acute obtuse right straight
- 27. Let’s Review! It isthe sum of two right angles. acute obtuse right straight
- 28. Let’s Review! These arethe rays that make up the angle. degrees arms points vertex
- 29. Let’s Review! It isthe common point where the two rays meet. degrees arms points vertex
- 30. Let’s Review! It isthe measure of the size of an angle degrees arms points vertex
- 31. Let’s Review! If thepoints A and B are the arms, what is the name of the angle if point C is the vertex? ∠ ABC ∠ CBA ∠ BAC ∠ ACB
- 32. Let’s Review! How manyways can you name the angles on this picture? 9 10 12 13
- 33. Let’s work together! Itis the only animal that have fingerprints. 5 3 2 14 A – 20° D – 60° E – 35° G – 110° K – 155° L – 120° N – 160° O – 145° P – 25°
- 34. Let’s work together! Itis the only animal that have fingerprints. A L AOK 5 3 2 14 A – 20° D – 60° E – 35° G – 110° K – 155° L – 120° N – 160° O – 145° P – 25°
- 35. What is themeasure of the angle? 20°
- 36. 20° What is themeasure of the angle?
- 37. 145° What is themeasure of the angle?
- 38. What is themeasure of the angle? 120°
- 39. What is themeasure of the angle? 155°
- 40. Assignment Search for thefollowing terms and formulas. Write your answers on your notebook. 1. Time 2. A.M. 3. P.M.