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7-5 6 th grade math

7-5 6 th grade math. Classifying and Measuring Angles. Objective. To draw, measure, and classify angles Why? To know how to correctly use a protractor or name angles without a protractor. To help you understand more geometry (see you in 9 th grade). California State Standards.

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7-5 6 th grade math

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  1. 7-56th grade math Classifying and Measuring Angles

  2. Objective • To draw, measure, and classify angles • Why? To know how to correctly use a protractor or name angles without a protractor. To help you understand more geometry (see you in 9th grade).

  3. California State Standards MG 2.1 (Gr 5): Measure, identify, and draw angles, but using appropriate tools … MR 1.0: Deepen your understanding of the measurement of plane and solid shapes and use this understanding to solve problems.

  4. Vocabulary • Point • An exact location in space • . X • Line • An endless collection of points along a straight path. A line has no end points • . . . . E F G H • Line segment • A part of a line having two endpoints • . . A B

  5. Vocabulary • Ray • A part of a line that has one endpoint and goes on and on in one direction . • Angle • Two rays with common endpoints called the vertex . Read with .A vertex in the middle. ∠ABC .B .C • Vertex • The common endpoint of the two rays that form the sides of an angle. See above. • The point of intersection of two sides of a polygon. . The point of intersection of three edges of a space figure. . .

  6. Vocabulary • Plane • A flat surface extending endlessly in all directions • Protractor • An instrument used to measure angles or draw angles • Congruent • Same shape and same size • ≈ is the symbol for congruent. Also seen above an equal sign.

  7. Classification Vocabulary • Right angle • An angle that measure 90°. Often has a ‘corner’ mark • ┐ • Obtuse angle • An angle that measures more than 90° and less than 180° • Acute angle • An angle that measure less than 90° and more than 0° • Straight angle • An angle with a measure of 180°

  8. How to Measure with a Protractor 1)Observe is angle is obtuse (past 90°) or acute (less 90°) 2)Place hole in center of protractor at vertex. Line up ray with the 0° mark 3) If obtuse angle, read the protractor’s measure past 90°. If acute angle, read the protractor’s measure less 90°. .

  9. How to Draw with a Protractor 1)Observe is angle is obtuse (past 90°) or acute (less 90°) 2)Place hole in center of protractor at vertex. Line up ray with the 0° mark 3) If obtuse angle, read the protractor’s measure past 90°. If acute angle, read the protractor’s measure less 90°. *) Angles can be drawn in any direction: left, right, sideways; as long as ‘opening’ is correct measurement. .

  10. Try It! Measure and classify 1. 2. 3. 4. • ∠ ABC 50°, acute 2) ∠ XYZ 120°, obtuse • ∠ OPQ 68°, acute • ∠ DEF 117°, obtuse

  11. Try Some More! Draw and classify 5) 40° 6) 100° 7) 25° 8) 180° 9) At 3:00, what type of angle is formed? 5) acute 6) obtuse 7) acute 8) straight 9) 90°

  12. Objective Review • To draw, measure, and classify angles • Why? You now know how to correctly use a protractor or name angles without a protractor. • This will help you understand more geometry (see you in 9th grade). • Learning how to identify and label basic geometric figures and how to classify, measure, and draw angles can help you understand basic geometric ideas and relationships.

  13. Independent Practice • Complete problems 10-21 • Copy original problem first. • Show all work! • If time, complete Mixed Review: 22-29 • If still more time, work on Accelerated Math.

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