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Bell Ringer

Bell Ringer. Get out your notebook and prepare to take notes on Chapter 9 In your notes, name 5 shapes you see in the classroom. Chapter 9. Spatial Thinking. 9.1 – Introduction to Geometry: Points, Lines, and Planes (Page 462). Essential Question:

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Bell Ringer

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  1. Bell Ringer • Get out your notebook and prepare to take notes on Chapter 9 • In your notes, name 5 shapes you see in the classroom

  2. Chapter 9 Spatial Thinking

  3. 9.1 – Introduction to Geometry: Points, Lines, and Planes (Page 462) • Essential Question: • What is the difference between a point, line, and plane?

  4. 9.1 cont.

  5. 9.1 cont. • Example 1:

  6. 9.1 cont • Parallel Lines: • Lie in the same plane • Do not intersect

  7. 9.1 cont. • Skew Lines: • Lines that do not lie in the same plane • Are not parallel • Do not intersect

  8. 9.1 cont. • Example 2:

  9. 9.1 - Closure • What is the difference between a point, line, and plane? • Point: • A location in space • Line: • A Series of Points that extends in two directions without end • Plane: • A flat surface that extends without end

  10. 9.1 - Homework Page 465-466, 2-38 even

  11. Bell Ringer • Get out your 9.1 homework assignment • Get out your notebook and prepare to take notes on Section 9.2 • What is the measure (in degrees) of a right angle? A straight line?

  12. 9.2 – Angle Relationships and Parallel Lines (Page 469) • Essential Questions: • What is a transversal? • What congruent angles are formed when a transversal intersects two parallel lines?

  13. 9.2 cont. • Vertical angles • Formed by two intersecting lines • Angles opposite one another are CONGRUENT • Congruent - have the same measure • Adjacent angles • Common vertex and common side

  14. 9.2 cont. • Example 1: • Name a pair of adjacent angles and a pair of vertical angles in the figure below: 145° • What is the measure of angle HGK?

  15. 9.2 cont. • Supplementary angles • Angles that add to 180 degrees • Complementary angles • Angles that add to 90 degrees

  16. 9.2 cont. • Example 2: • In the following figure, if the measure of angle DKH is 73°, find the measures of the angles GKJ and JKF: 17° 73° 73°

  17. 9.2 cont. • Transversal • A line that intersects two or more lines at different points

  18. 9.2 cont. A B C D • Corresponding Angles • Lie on same side of the transversal • Have corresponding positions at each intersection • Are congruent E F G H • Alternate Interior Angles • Lie within a pair of lines • On opposite sides of the transversal • Are congruent E F G H

  19. 9.2 cont. • Example 3: • Identify each pair of corresponding angles and each pair of alternate interior angles in the following figure:

  20. 9.2 cont. • Example 4: • If p is parallel to q in the following figure, and the measure of angle 3 is 56°, find the measure of angle 6. = 56°

  21. Mimio Software • Match the angle pair with the proper name

  22. 9.2 - Closure • What is a transversal? • A line that intersects two or more lines at different points • What congruent angles are formed when a transversal intersects two parallel lines? • Corresponding angles • Alternate interior angles • Vertical angles • Complementary/Supplementary angles

  23. 9.2 - Homework Page 472-473, 2-26 even

  24. Bell Ringer • Get out your 9.2 homework assignment • Get out your notebook and prepare to take notes on Section 9.3 • In your notes, list 5 polygons you see in the classroom

  25. 9.3 – Classifying Polygons (Page 474) • Essential Question: • How do we classify polygons?

  26. 9.3 cont. • Polygon: • Many-sided figure • Has at least 3 sides

  27. 9.3 cont. • Triangle: • A polygon with 3 sides • Can be classified by angle measures or side lengths • Tick marks are used to indicate congruent sides

  28. 9.3 cont. • Example 1: • Classify LMN by its sides and angles: 2 congruent sides 3 acute angles isosceles acute triangle

  29. 9.3 cont. • Quadrilateral: • A polygon with 4 sides • Can be classified by angle measures or side lengths • Name quadrilaterals by listing vertices in consecutive order

  30. 9.3 cont. • Example 2: • How would you classify the following figure? Opposite sides are parallel Adjacent sides are not equal Parallelogram

  31. 9.3 cont. • Regular Polygons: • All sides and angles congruent

  32. 9.3 cont. • Example 3: • Find the perimeter of a regular hexagon with a side length of 7. OR

  33. 9.3 - Closure • How do we classify polygons? • By its sides and angles!!

  34. 9.3 - Homework Page 477-478, 2-24 even Page 517-518, 9-22 QUIZ TOMORROW!!

  35. Bell Ringer • Prepare to ask questions about the 9.1-9.3 quiz • In your notes, write a short description of area and be prepared to share it with the class

  36. 9.6/10.1-10.3 – Area • Essential Question: • How do we find the area of a parallelogram, triangle, trapezoid, and circle?

  37. 9.6/10.1-10.3 - Area • Application: • Construction • Farming • Architecture • Engineering • Area: • Number of square units a figure encloses

  38. 9.6/10.1-10.3 cont. Period 3 Groups Circles Sara B Savannah R Dustin G Emma H Garrett B Trapezoids Alexis I Jordan K Ramiro S Chris C Joseph R Parallelograms Britt H Ryan H Sarah T Wyatt T Triangles Callie M Kiersten Y Antoinette M Brandon D

  39. 9.6/10.1-10.3 cont. Period 4 Groups Circles Robert L Alexis H Alexis K Daphne Trapezoids Ben S Tayla D Austin B Parallelograms Alexis P Johanna K Austin P Chris M Triangles Cole S Josh C Tyler S

  40. 9.6/10.1-10.3 cont. Period 5 Groups Circles Rachael M Favian G Morgan Z Justin B Emma M Trapezoids Erin B Zach L Alexis W Dillon G Hannah H Parallelograms Andrew B Jacqueline W Kimberly R Tanesha F Brianna I Triangles Kyle S Christian S Andrew R Hunter S McKenzie G

  41. 9.6/10.1-10.3 cont. Period 8 Groups Circles Aaron B Hailey S Samantha G Kayleen L Colby W Brenden C Trapezoids Cameron S Alayna K Ethan T Camryn M Tyler M Parallelograms Tesa H Ian W Lindsey A Kaelley K Johnny L Triangles Paetyn K Ciara H Luke B Jack G Dakota S

  42. HOMEWORK: Page 493; 2-8 even Page 528; 2-8 even Page 536; 2-10 even Page 541; 2-10 even

  43. Bell Ringer • Get out your 8.5 homework assignment • Get out your notebook and prepare to take notes on Section 9.6 • Pick your favorite type of pizza and put a tally mark in the appropriate box in the following table:

  44. 9.6 – Circle Graphs • Essential Question: • How does a circle graph represent data?

  45. 9.6 cont. • Circle Graph: • Shows how parts of a data set relate to the “whole” • Entire circle = the “whole” • Each sector represents part of the whole • Total must equal 100%

  46. 9.6 cont. Interactive Circle Graph

  47. 9.6 cont. • Example 1: • 21.3 million people in the US use food pantries each year. How many people who use food pantries is 17 or younger? people How many people who use food pantries are 50 or older?

  48. 9.6 cont. • Example 2: • Make a circle graph for the following data:

  49. 9.6 cont. • Example 2: • Make a circle graph for the following data:

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