Download presentation
Presentation is loading. Please wait.
Published byJack Welch Modified over 9 years ago
1
Geometry 7 Jan 2014 1) Empty folders and place any papers in correct section in your binder. 2) Warm Up – Use pink warm up sheet. Work on FRONT LEFT please. Given: the figure is a rhombus. Find x. Show work. EXPLAIN how you know you are correct (in writing)
2
Objective Students will review semester 1 topics and make corrections to semester 1 exam.Homework: DUE FRIDAY: pg. 259+: 3 – 10 Start with sketch. Clearly show K’s and W’s. CHECK YOUR ANSWERS. DUE SUNDAY/ Monday- KHAN ASSIGNMENT P2- Healthy Kids Survey for remainder of class
3
1 st Semester Final Most Missed- #1, 11, 12, 19, 23, 25 Students present Constructed Response. MAKE CORRECTIONS TO FIVE PROBLEMS- 1) REWRITE THE PROBLEM on your notebook paper. 2) State what you did incorrectly (use words). 3) REWORK the problem correctly. Didn’t miss 5 problems? Look at most missed and determine what errors resulted in each answer choice.
4
Debrief What do you need to do this semester to help you be successful? What did you learn from your errors on the district semester final?
5
Geometry 8 January 2014 WARM UP– write on right front of pink sheet 1) Are you satisfied with your work in geometry 1 st semester? 2) What do you need to do work on this semester? 3) What can I do to help you be successful? 4) Is there anything you want me to know? P6- FRESHMAN ASSEMBLY for remainder of class
6
objective Students will apply polygon interior and exterior sum conjectures to find angle measures. Students will take notes, work collaboratively and present to the class.
7
Homework: DUE FRIDAY: pg. 259+: 3 – 10 Start with sketch. Clearly show K’s and W’s. CHECK YOUR ANSWERS. DUE SUNDAY/ Monday- KHAN ASSIGNMENT
8
Most Missed- #1, 11, 12, 19, 23, 25 P2 Students present Constructed Response. Take 10 minutes to work with your group to find your errors! PLEASE write in your booklet!!
9
ADD TO VOCABULARY http://www.geogebratube.org/student/m434 http://www.geogebratube.org/student/m434 Interior angle Diagonal Vertex Side Exterior angle Polygons
10
Equiangular: all angles have equal measure Equilateral: all sides are the same length Polygons
11
Regular Polygon: a polygon where all the angles are equal and all of the sides are the same length. They are both equilateral and equiangular Polygons
12
Examples of Regular Polygons Polygons
13
Complete the Investigation Polygon Angle Sum Conjectures 1) Names? 1) Names? page 54 2) MEASURE the interior and exterior angles group 1, 4 & 7: Triangle and Hexagon group 2 & 6: Quadrilateral and Pentagon group 3 & 5: Heptagon 3) COMPILE CLASS results- write on your paper 4) GRAPH- 4) GRAPH- Number of sides (x- axis) vs. interior angle sum (y-axis) 5) Find a rule 5) Find a rule for the interior angle sum of an N-gon.
14
Quadrilateral Pentagon 180 o 2 x 180 o = 360 o 3 4 sides 5 sides 3 x 180 o = 540 o Hexagon 6 sides 180 o 4 x 180 o = 720 o 4 Heptagon/Septagon 7 sides 180 o 5 x 180 o = 900 o 5 2 1 diagonal 2 diagonals 3 diagonals 4 diagonals Polygons
15
Rule? Can you find a rule for the interior angle sum for an “N”-gon? exterior angle sum? What if you have a regular polygon? what is the measure of EACH angle of an “n”-gon? Regular Polygon- equiangular and equilateral polygon
16
Debrief What methods can you use to find the sum of the interior angles of any polygon?
17
Geometry 10 January 2014 Warm Up- (keep pink sheets in left side for next week) Correct Homework √ or X EACH PROBLEM. 1) Work with your group to IDENTIFY and CORRECT ERRORS. √ or X EACH PROBLEM. 2) Please do MORE than just write the ‘correct’ answer…. HOW do you get it!!? Show the WORK to SUPPORT the correct answer!
18
objective Students will apply polygon interior and exterior sum conjectures to find angle measures. Students will take notes, work collaboratively and present to the class.
19
Homework: DUE MONDAY(revised): pg. 259+: 3 – 10 Start with sketch. Clearly show K’s and W’s. CHECK YOUR ANSWERS. DUE SUNDAY/ Monday- KHAN ASSIGNMENT
20
ADD TO VOCABULARY http://www.geogebratube.org/student/m434 http://www.geogebratube.org/student/m434 Interior angle Diagonal Vertex Side Exterior angle Polygons
21
Equiangular: all angles have equal measure Equilateral: all sides are the same length Polygons
22
Regular Polygon: a polygon where all the angles are equal and all of the sides are the same length. They are both equilateral and equiangular Polygons
23
Examples of Regular Polygons Polygons
24
REVIEW Investigation Results Polygon Angle Sum Conjectures 1) Names? 1) Names? page 54 2) MEASURE the interior and exterior angles group 1, 4 & 7: Triangle and Hexagon group 2 & 6: Quadrilateral and Pentagon group 3 & 5: Heptagon 3) COMPILE CLASS results- write on your paper 4) GRAPH- 4) GRAPH- Number of sides (x- axis) vs. interior angle sum (y-axis) 5) Find a rule 5) Find a rule for the interior angle sum of an N-gon.
25
Quadrilateral Pentagon 180 o 2 x 180 o = 360 o 3 4 sides 5 sides 3 x 180 o = 540 o Hexagon 6 sides 180 o 4 x 180 o = 720 o 4 Heptagon/Septagon 7 sides 180 o 5 x 180 o = 900 o 5 2 1 diagonal 2 diagonals 3 diagonals 4 diagonals Polygons
26
Rule? Can you find a rule for the interior angle sum for an “N”-gon? exterior angle sum? What if you have a regular polygon? what is the measure of EACH angle of an “n”-gon? Regular Polygon- equiangular and equilateral polygon
27
No matter what type of polygon we have, the sum of the exterior angles is ALWAYS equal to 360º. Sum of exterior angles = 360º Polygons
28
Term Definition Example Polygon Sum Conjecture The sum of the measures of the interior angles of an n-gon is Sum of interior angles Exterior angle sum conjecture For any polygon, the sum of the measures of a set of external angles is 360 0 Equiangular Polygon Conjecture Each interior angle of an equiangular n-gon Polygons
29
2 x 180 o = 360 o 360 – 245 = 115 o 3 x 180 o = 540 o 540 – 395 = 145 o y 117 o 121 o 100 o 125 o 140 o z 133 o 137 o 138 o 125 o 105 o Find the unknown angles below. Diagrams not drawn accurately. 75 o 100 o 70 o w x 115 o 110 o 75 o 95 o 4 x 180 o = 720 o 720 – 603 = 117 o 5 x 180 o = 900 o 900 – 776 = 124 o Polygons
30
Debrief What different methods can you use to find the interior angle sum of any polygon? What is the exterior angle sum for any polygon?
Similar presentations
© 2025 SlidePlayer.com. Inc.
All rights reserved.