Schedule for the next 7 weeks: 1)4/27-5/1: A) 11.1 & 11.2 2) 5/4-5/8: A) Ch.11: 11.3-11.5 3) 5/11-5/15: A) Ch.12: Prisms, Cylinders 4) 5/18-5/22: A) Ch.12:

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Presentation transcript:

Schedule for the next 7 weeks: 1)4/27-5/1: A) 11.1 & ) 5/4-5/8: A) Ch.11: ) 5/11-5/15: A) Ch.12: Prisms, Cylinders 4) 5/18-5/22: A) Ch.12: Pyramids, Cones 5) 5/25-5/29: A)Ch.12: Spheres; Project??? 6) 6/1-6/8 1) FINAL Review 7) 6/9-6/11 1)FINALS P.5 on 6/10

Basic shapes discussed this year: Circle Square Trapezoid Rectangle Triangle Right Triangle

11.1: Angle Measures in Polygons Standards #12 & 13 June 24, 2016

(Classify each polygon. Starting from 1 vertex, draw diagonals that divide the polygon into  s. Each triangle contains _____ degrees in its _______ ) Polygon# Sides #  s Sum of Interior <s triangle quadrilateral pentagon hexagon heptagon octagon n-gonn Interior 180 o n – o 360 o (180x2) V VVV 540 o (180x3) 720 o (180x4) 900 o (180x5) 1080 o (180x6) (n – 2) 180 o triangle quadrilateral pentagon hexagon you can use either method: Draw or use the Equation to find an interior angle Polygon Interior Angles Theorem

Examples #1: Find the sum of the measures of the interior angles of the convex polygon 900° (n-2)180° a) 7-gon (7-2)180° (5)180° b) 11-gon 1,620° (n-2)180° (11-2)180° (9)180°

Examples #2: write an equation & solve for x: x = 140 o 120 o 100 o 80 o xoxo x = 540° x = 100° 540°(n-2)180°

Assignment #1: P.665 #6-12, Draw pictures, show work!!

11.1: P.665 #6-12, ° (8(180)) ° (10(180)) ° (13(180)) ° (16(180)) ° (18(180)) ° (28(180)) ° (38(180)) °(413°+ x° = 540°) ° (619°+ x° = 720°) ° (820°+ x° = 900°)

Polygon Exterior Angles Sum Theorem The sum of the measures of all of the exterior angles of a convex polygon, one angle at each vertex, is 360º m<1+m<2+m<3+m<4+m<5 = 360°

The measure of each exterior angle of a regular n-gon is 360º. Exterior Angle of a Regular Polygon (The exterior angle and adjacent interior angle are supplementary, a linear pair is formed.) (n = number of sides in the polygon) X n

Example #3 Find the measure of each exterior & interior angle. A) Regular octagon, n= o n 360 o = 45 o (n-2(180) 180–45= 135 o (Linear pair is formed) n 8 (6(180) 8 = 1080 o = 135 o 8

Summary Write your questions and 3 complete sentences!

Assignment #2: P.665 #13,20,21,29-32,70-73 Draw pictures, show work!!