Post on 08-Jan-2018
description
Geometry 7 Jan 20141) 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 howyou know you arecorrect (in writing)
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
1st Semester FinalMost 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 determinewhat errors resulted in each answer choice.
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?
Geometry 8 January 2014
WARM UP– write on right front of pink sheet1) Are you satisfied with your work in geometry 1st 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
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.
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
Most Missed- #1, 11, 12, 19, 23, 25P2
Students present Constructed Response.
Take 10 minutes to work with your group to find your errors! PLEASE write in your booklet!!
ADD TO VOCABULARYhttp://www.geogebratube.org/student/m434
Interior angleDiagonal
Vertex
Side
Exterior angle
Polygons
• Equiangular: all angles have equal measure
• Equilateral: all sides are the same length
Polygons
• 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
Examples of Regular Polygons
Polygons
Complete the Investigation Polygon Angle Sum Conjectures
1) Names? page 542) MEASURE the interior and exterior angles group 1, 4 & 7: Triangle and Hexagon group 2 & 6: Quadrilateral and Pentagon group 3 & 5: Heptagon3) COMPILE CLASS results- write on your paper4) GRAPH- Number of sides (x- axis) vs. interior angle sum (y-axis)5) Find a rule for the interior angle sum of an N-gon.
QuadrilateralPentagon
180o 180
o180o
180o
180o
2 x 180o = 360o 3
4 sides5 sides
3 x 180o = 540o
Hexagon6 sides
180o
180o
180o
180o
4 x 180o = 720o
4 Heptagon/Septagon7 sides
180o180o 180o
180o
180o
5 x 180o = 900o 5
2 1 diagonal
2 diagonals
3 diagonals 4 diagonals Polygons
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
Debrief
What methods can you use to find the sum of the interior angles of any polygon?
Geometry 10 January 2014
Warm Up- (keep pink sheets in left side for next week)Correct Homework1) 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!
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.
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
ADD TO VOCABULARYhttp://www.geogebratube.org/student/m434
Interior angleDiagonal
Vertex
Side
Exterior angle
Polygons
• Equiangular: all angles have equal measure
• Equilateral: all sides are the same length
Polygons
• 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
Examples of Regular Polygons
Polygons
REVIEW Investigation ResultsPolygon Angle Sum Conjectures
1) Names? page 542) MEASURE the interior and exterior angles group 1, 4 & 7: Triangle and Hexagon group 2 & 6: Quadrilateral and Pentagon group 3 & 5: Heptagon3) COMPILE CLASS results- write on your paper4) GRAPH- Number of sides (x- axis) vs. interior angle sum (y-axis)5) Find a rule for the interior angle sum of an N-gon.
QuadrilateralPentagon
180o 180
o180o
180o
180o
2 x 180o = 360o 3
4 sides5 sides
3 x 180o = 540o
Hexagon6 sides
180o
180o
180o
180o
4 x 180o = 720o
4 Heptagon/Septagon7 sides
180o180o 180o
180o
180o
5 x 180o = 900o 5
2 1 diagonal
2 diagonals
3 diagonals 4 diagonals Polygons
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
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
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 3600
Equiangular Polygon
Conjecture
Each interior angle of an equiangular n-gon
Polygons
0180 2n 0180 2n
0180 2nn
0180 2nn
2 x 180o = 360o
360 – 245 = 115o
3 x 180o = 540o540 – 395 = 145o
y117o121o
100o125o
140o z
133o 137o138o
138o
125o
105o
Find the unknown angles below.
Diagrams not drawn accurately.
75o
100o
70o
wx
115o110o
75o 95o
4 x 180o = 720o720 – 603 = 117o
5 x 180o = 900o900 – 776 = 124o
Polygons
Debrief
What different methods can you useto find the interior angle sum of anypolygon?
What is the exterior angle sum for any polygon?