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?