1 / 17

Angles, Angles, Everywhere

Angles, Angles, Everywhere. Mrs. Keen 6 th grade Math dkeene@twu.edu. Just warming up…. Identify each object as containing an acute, right, or obtuse angle Right Obtuse Acute. Learning Objectives.

vernon
Download Presentation

Angles, Angles, Everywhere

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Angles, Angles, Everywhere Mrs. Keen 6th grade Math dkeene@twu.edu

  2. Just warming up… Identify each object as containing an acute, right, or obtuse angle Right Obtuse Acute

  3. Learning Objectives • The student will use angle measurement to classify angles as acute, right, or obtuse (TEKS 6.6a) • The student will identifyrelationships involving angles in triangles and quadrilaterals (TEKS 6.6b)

  4. Vocabulary to Know • Acute angle – an angle less than 90° • Angle – two rays with a common endpoint • Degree – unit of measure for angles °

  5. Angle Vocab con’t… • Obtuse angle– an angle greater than 90° • Straight angle – an angle whose measure is exactly 180°

  6. Shapes, Shapes, & More Shapes • Polygon – a geometric figure made up of three or more line segments that intersect only at their endpoints • Vertex (pl. vertices) – the common endpoint of the two rays form an angle

  7. Shapes con’t… • Triangle – a polygon with three sides and three vertices • Quadrilateral– a polygon with four sides and four vertices

  8. Quadrilaterals • Square – a polygon with four equal sides and four right angles • Rectangle – a polygon with four right angles and four sides

  9. Quadrilaterals con’t… • Trapezoid – a quadrilateral with exactly one pair of parallel sides • Parallelogram– a quadrilateral with exactly two pairs of parallel sides

  10. Angles and Triangles • The sum of all angles in a triangle equals 180° 80° + 50° + 50° = 180° 90° + 45° + 45° = 180° 110° + 45° + 25° = 180° 110° 80° 45° 25° 45° 90° 45° 50° 50°

  11. So…. If we know that the sum of all angles in a triangle equals 180°, then… What is the measure of the missing angles? 72° + 78° + ? = 180° 45° + 45° + ? = 180° 115° + 35° + ? = 180° 180° - 150° = 30° 180° - 90° = 90° 180° - 150° = 30° 115° 35° 45° 72° ? ? 78° 45° ?

  12. Triangles vs. Squares and Rectangles Since a square can be divided into two triangles, then… the sum of all angles in a square is 360°, because 180° + 180° = 360° Since a rectangle can be divided into two triangles, then… the sum of all angles in a rectangle is 360°, because 180° + 180° = 360° 180° 180° 360° 360° 180° 180°

  13. Triangles vs. Parallelograms and Trapezoids Since a parallelogram can be divided into two triangles, then… the sum of all angles in a parallelogram is 360°, because 180° + 180° = 360° Since a trapezoid can be divided into two triangles, then… the sum of all angles in a trapezoid is 360°, because 180° + 180° = 360° 180° 180° 360° 360° 180° 180°

  14. So… If we know that the sum of all angles in a square, rectangle, parallelogram, and trapezoid equals 180°, then… What is the measure of the missing angles? 90° + 90° + 90° + ? = 180° 90° + 90° + 90° + ? = 180° 360° - 270° = 90° 360° - 270° = 90° 110° + 70° + 110° + ? = 180° 110° + 70° + 70° + ? = 180° 360° - 290° = 70° 360° - 250° = 110° 90° 90° ? 90° 110° ? 70° 110° 90° 90° 90° ? 70° 110° ? 70°

  15. Angles in the Real World

  16. Now its your turn… You will be going out onto the playground and will search for “real life” examples of acute, obtuse, and right angles. • Separate into your assigned groups • Decide which group member will be the record keeper • Head out to the playground, you will have 15 minutes to gather as many items as you can

  17. Scavenger Hunt Results

More Related