Geometry in Nature and in Art
Day 2
(8/21/2012)
Objectives:
• Use geometry to create art
designs.
• Identify reflectional and
rotational symmetry.
Assignment
Class work
• Decorate the folder using
designs on page 8,10, 11,
and 35*
• Identify reflectional or
rotational symmetry of your
design.
• Homework
Read lesson 1.1 Page 28
Section 1.1
Day 3
Building blocks of Geometry
(8/22/2012)
Objectives:
• Learn the terminology and
the notation of points, lines,
segments, rays, plane,
collinear and coplanar
points.
Assignment
Class Work
• Finish the Folder design. (15
min)
• Take notes from the LCD on
definitions.
Work on the Investigation
on page 32.
Homework
Page 33 # 1-15 all
Section 1.1
Day 4
Building blocks of Geometry
(8/23/2012)
Objectives:
• Learn the terminology and
the notation of points, lines,
segments, rays, plane,
collinear and coplanar
points.
Assignment
Class Work
• Go over homework
questions.
Homework
Page 34 # 18-35 all
Warm-up
Day 4
Graph each point:
• A(0,-2), B(-1,2), C (3,0), D(-1,-3)
Graph and name:
1. The line that passes through A and B.
2. The line segment that passes through D and
C.
3. The ray with initial point C and passes
through A.
Section 1.1
Day 5
Midpoint
(8/24/2012)
Objectives:
• Review coordinate midpoint
property.
• Find the coordinates of the
midpoint by using midpoint
formula.
Assignment
Class work
• Warm-up (5 min)
• LCD Power Point
presentation.
• Page 37 # 1-8 all
Homework:
• Read section 1.2 Page 38.
Section 1.2
Day 6
(8/28/2012)
Objectives:
• Definition of a angle.
• Learn how to show the
measure of an angle.
• Become familiar with the
symbols of marking angles
and congruent angles.
Poolroom Math
Assignment
Class Work
• LCD lectures
• Go over Examples B and C
page 40-41.
• Go over page 42-43 # 1, 2,
15, 16, 20.
Homework
Page 42-43 # 1-25 all.
Section 1.2
Day 7
(8/29/2012)
• Objectives:
• Definition of a angle.
• Learn how to show the
measure of an angle.
• Become familiar with the
symbols of marking angles
and congruent angles.
Poolroom Math
Assignment
Class Work:
Collect homework day 4.
• Page 44-45 # 31-40 all.
Homework :
• Review Concept and
notation of sections 1.1-1.2.
Warm- up
Day 7
1. Find the coordinates of the midpoint of the segment with the given
endpoints (5,8) and (3, 2).
2.
Tell whether the statement below is sometimes, always, or never true.
Support your answer with a sketch.
If M is the midpoint of KL, then M, K, and L are collinear.
Definition: Angle Bisector
• An angle bisector is a ray that
divides an angle into two congruent
angles.
• JK bisects LJM; thus LJK  KJM.
Example 1
• KM bisects JKL, mJKM = (4x + 6)°, and
mMKL = (7x – 12)°. Find mJKM.
Example 1 Continued
• Step 1 Find x.
mJKM = mMKL
Def. of  bisector
(4x + 6)° = (7x – 12)°
Substitute the given values.
Add 12 to both sides.
+12
4x + 18
–4x
+12
= 7x
–4x
18 = 3x
6=x
Simplify.
Subtract 4x from both sides.
Divide both sides by 3.
Example 1 Continued
• Step 2 Find mJKM.
mJKM = 4x + 6
= 4(6) + 6
= 30
Substitute 6 for x.
Simplify.
Quiz
Day 8
(8/30/2012)
• Objectives:
• Quiz on section 1.1-1.2
Assignment
• Homework
• Read section 1.3
Section 1.2
Day 8
(8/30/2012)
• Objectives:
• Understand the definition of
angle bisector.
• Use the definition of the
angle bisector to find the
missing side.
Assignment
Class Work
Go over the warm up.
Quiz (30 min )
Homework
Read section 1.3
Section 1.3
Day 9
(8/31/2012)
• Objectives:
• Review section 1.1-1.2
concepts.
• Practice to write definitions.
• Define special angle
relationship.
Assignment
Class work
• Go over the worm up
• Go over the quiz
• Go over example B on page
48.
• Go over the investigation on
page 49.
Homework
Learn the definitions of
special angles.
Warm- up
Day 9 (8/31/2012)
• 1. Copy the figure. Write what you know about the
markings.
N
R
Q
P
M
Warm up
1. Find the measure of each angle.
QS bisects PQR, mPQS = (5y – 1)°, and
mPQR = (8y + 12)°. Find mPQS.
2. JK bisects LJM, mLJK = (-10x + 3)°,
and
mKJM = (–x + 21)°. Find mLJM.
Section 1.3
Day 10
(9/4/2012)
• Objectives:
• Practice to write definitions.
• Define special angle
relationship.
Assignment
Class Work
• Go over the warm up.
• Go over investigation
“ Definition of angles” on
page 49.
Homework
Page 51 -52 # 1-8 all, 11, 13.
Warm-up
Day 10
1. E is between D and F. Find
DF.
2. D is the midpoint of EF, ED = 4x + 6, and DF = 7x – 9.
Find ED, DF, and EF.
E
4x + 6
D
7x – 9
F
Section 1.3
Day 11
(9/5/2012)
Objectives:
Use the definition of special
angles to find the missing
angle or solve for X.
Assignment
Class Work
• Go over the Warm up
• Go over the homework.
• Go over examples from the
hand out.
Homework
• Finish the hand out
Warm up
Day 11
• mA = 60, and mB =70. Find the measure of each of the
following.
• 1. supplement of A
• 2. complement of B
• 3. Determine whether this statement is true or false. If false,
explain why. If two angles are
complementary and
congruent, then the measure
of each is 90°.
•
Section 1.3
Day 12
(9/ 6/ 2012)
Objectives:
• Review sections 1.1-1.3
Special angels
Assignment
Class Work
• Go over the Warm up
• Go over examples from the
Hand out.
Homework
• Finish the hand out and
review for the quiz.
Warm up
1.
Name the pairs of vertical angles.
2. mXYZ = 2x° and mPQR = (8x - 20)°.
If XYZ and PQR are supplementary, find
the measure of each angle.
Day 12
Answers to the homework of Day 11
•
•
•
•
•
•
•
•
•
•
2. 70/3
3. x = 10 and m<ABC = 52
8. x = 30 and m<AOB = 30
9. x = 30 and m< BOC = 120
10. x = 20 and m< BOC = 40
11. x = 8
12. y = 35
13. 35
14. LM= 20, MN = 3
15. m< COB = 61, m< BOA = 29
Quiz on Sections 1.1-1.3
Day 13
(9/7/2012)
• Objectives:
• Test concepts of sections
1.1-1.3.
Assignment
Class Work
• Finish the Review hand out.
• Quiz
Homework:
• Read section 1.4 page 5455.
Section 1.4
Day 14
(9/10/12)
Objectives:
• Define and classify polygons
and related terms.
• Practice writing definitions.
• Learn even more
vocabulary.
Polygons
Assignment
Class Work
Go over the warm up.
• Go over the vocabulary of
section 1.4.
• Homework
• Page 57 # 1-12 all 15, 21,
22.
Day 14
Warm up
Identify each of the following.
• 1. points that lie in the same plane
• 2. Two angles whose sum is 180°
• 3. Two lines that never meet.
• 4. An angle that is less than 90 degree.
Day 14
1.
2.
3.
4.
5.
6.
7.
8.
9.
Polygon
Diagonal
Convex
Concave
Congruent polygons
Perimeter
Equilateral Polygon
Equiangular Polygon
Regular Polygon
Vocabulary
Vocabulary Day 14
1. Polygon
•
A polygon is a closed figure, formed by connecting line segments endpoint to
endpoint with each segment intersecting exactly two others.
2. Diagonal
• Diagonal of a polygon is a line segment that connects two nonconsecutive vertices.
3. Convex Polygon
• A polygon is convex if no diagonal is outside of the polygon .
4. Concave Polygon
• A polygon is concave if at least one diagonal is outside of the polygon.
5. Congruent Polygons
• If polygons are congruent, then corresponding sides and angles are congruent
OR
If corresponding sides and angles are congruent, then the polygons are congruent.
6. Perimeter
The perimeter of a polygon is equal to the sum of the lengths of its sides.
Vocabulary
Continues…..
7. Equilateral Polygon
• Equilateral polygons are polygons in which all sides have equal length.
8.Equiangular Polygons
• Equiangular polygons are polygons in which all angles have equal measure.
9. Regular Polygons
• Regular polygons are polygons that are both equilateral and equiangular.
Section 1.4
Day 15
(9/11/2012)
Objectives:
• Define and classify polygons
and related terms.
• Practice writing definitions.
• Learn even more vocabulary
Polygons
Assignment
Class Work
Collect Homework day 14.
• Go over the warm- up
• Go over the quiz.
Homework
• Page 58 23-25 all.
Day 15
Warm up
Classify each angle as acute, obtuse, or right.
• 1.
2.
• 3.
4. If the perimeter is 47, find x and the lengths of the three sides.
Section 1.4
Day 16
9/12/2012
Objectives:
• Test concepts of sections.
1.1-1.4
Polygons
Assignment
Class Work
• Quiz make up
• Hand-out.
Homework
Finish the hand-out
Section 1.4
Day 17
9/13/2012
Objectives:
• Review definition of a
polygon and related terms.
• Use the definition to solve
problems.
Polygons
Assignment
Class Work
• Go over the warm up.
• Go over the homework
questions.
• Finish the hand-out.
Homework
Read section 1.5 find a
definition and write an
example for each bolded
term.
Section 1.5
Day 18
(9/14/2012)
Objectives:
• Define and classify triangles
• Practice with definitions.
Triangles
Assignment
Class work
Go over the warm up
• Go over the homework
questions.
• Note book quiz.
Homework
Page 62 # 1-9 all, page 63 1721 all.
Warm up
Define the following terms.
1. Right triangle
2. Equilateral triangle
3. Obtuse triangle
4. Collinear Points
day 18
Vocabulary
Right triangle
• A right triangle has a right angle.
Acute triangle
• An acute triangle has three acute angles
Obtuse triangle
• An obtuse triangle has one obtuse angle.
Scalene triangle
• A scalene triangle is a triangle with no congruent sides.
Equilateral triangle
• An equilateral triangle has three congruent sides.
Isosceles triangle.
• An isosceles triangle has at least two congruent sides.
Day 18
Section 1.5
Day 19
(9/18/2012)
• Objectives:
• Define and classify triangles
• Practice with definitions.
• Use the definitions of
sections 1.2-1.5 to answer
hand out questions.
Triangles
Assignment
Class Work
1. Go over the Warm up.
2. Go over homework
Questions.
3. Hand out 1-9 All
Homework
Defined the bolded terms on
section 1.6
Warm up
1. Classify
Day 19
EHF by its side lengths.
2. Find the side lengths of equilateral
FGH.
Warm up
• Classify each triangle by its angles and sides.
• 1.
MNQ
• 2.
NQP
• 3.
MNP
Day 20
Warm up
Day 20
Answers
• Classify each triangle by its angles and sides.
• 1.
MNQ
• 2.
NQP
obtuse; scalene
• 3.
MNP
acute; scalene
acute; equilateral
Section 1.6
Day 20
Special Quadrilaterals.
(9/19/2012)
Objectives:
• Define and classify
quadrilaterals along with
their related parts.
• Learn more vocabulary
related to quadrilaterals.
Assignment
Class Work
• Go over the warm up
• Go over homework
questions.
• Write definitions of the
bolded terms.
Homework
• Page 66 # 1-13 all.
Vocabulary
Day 20
1. Trapezoid
• A trapezoid is a quadrilateral with exactly one pair or parallel sides.
2. Kite
• A kite is a quadrilateral with two distinct pair of consecutive congruent
sides.
3. Parallelogram
• A parallelogram is a quadrilateral with two pairs of parallel sides.
4. Rhombus
• A rhombus is an equilateral parallelogram
5. Rectangle
• A rectangle is a equiangular parallelogram.
6. Square
A square is a regular quadrilateral .
Section 1.7 Special Quadrilaterals.
Day 21
(9/20/2012)
Objectives:
• Learn more vocabulary
related to quadrilaterals
• Use the definitions of this
section to solve problems.
Assignment
Class Work
• Go over the warm up.
• Collect Homework day 20.
• 30 min Quiz on section 1.61.7.
Homework
• Hand out page 6.
Warm up
Day 21
For 1-3 , draw and label each figure.
1. An obtuse triangle ABC with obtuse angle <A.
2. An isosceles right triangle KLM with KL=KM
and m<K=90.
3. A Kite ABCD with AB=3cm, BC=3cm, CD=6
cm, and AD= 6 cm.
4. If KL=5 in, what is the perimeter of a regular
polygon KLMNP.
Section 1.7
Day 22
(9/21/2012)
Objectives:
• Define a circle and related
figures.
• Identify parts of a circle.
Circles
Assignment
Class Work
1. Go over the warm up
2. Defined the circle and
parts of a circle.
3. Start working on the
homework
Homework:
Page 72 # 2-9 all, 11, 23-26 all.
29, 30, 34.
Warm up
Day 22
1. Tell whether the polygon is regular or irregular. Tell whether
it is concave or convex.
Vocabulary of section 1.7
1. Circle
• A circle is a set of points equidistant from a fixed point called
the center.
2. Chord
• A chord is a line segment whose end points lie on the circle.
3. Diameter
• A diameter is a chord that passes through the center. The
diameter is the longest cord.
4. Tangent
• A tangent is a line that intersects the circle only once.
Vocabulary
1.7….
5. Arc
• An arc is made of two points on the circle and the continuous (unbroken)
part of a circle between the two points. The two points are called the end
points.
6. Semicircle
• Is the arc of the circle whose endpoints are the end points of a diameter.
7. Minor Arc
• A minor arc is an arc that is smaller than a semicircle.
8. Major Arc
• A major arc is a arc that is larger than the semicircle.
Central angle
• A angle whose vertex is the center of a circle.
Example 1.
• Identify each term.
Chords:
Semicircle
Tangent:
Diameter:
Radius:
Minor arc:
Major arc:
Section 1.8
Day 23
(9/24/ 2012)
Objectives:
• Visualize Objects and
relationships in two and
three dimension.
• Practice drawing skills
Space Geometry
Assignment
Class Work
• Go over the warm up.
• Go over the homework
questions.
• Practice drawing important
geometric solids.
Homework
Page 78 1-6 all and 14-17 all.
Day 24
9/25/2012
• No school Teacher’s Planning Day
Warm up
Day 23
• Definition: “The measure of an arc is equal to the measure of the
corresponding central angle”.
• Use the definition to find the measure of each given arc. Name the arc.
( ( ( (
E
m AB=
m BC=
A
180o
D
m BCA=
50o
C
m AEC=
130o
B
Chapter 1 Review
Day 25
(9/27/2012)
Objectives:
• Review vocabulary and
notation of chapter 1.
• Use concepts of this chapter
to solve word problems.
Assignment
Class work
• Go over the warm up.
• Go over page 91 # 31, page
92 # 32, 41, 43, 46.
• Collect homework Day 23.
Class work / Homework
• Page 90, 1-25 all, 26, 39, 40,
42,44.
Day 26
9/28/2012
• Chapter 1 Test
Warm up
Day 25
Tell whether each statement is true or false.
• A Rhombus is a quadrilateral that has exactly one pair
of parallel sides.
• “The ray from point L to point M” is called LM.
• The vertex of angle RST is the point T.
• A diagonal is a line segment in a polygon connecting
any two vertices.
Sections 2.1-2.2 Inductive Reasoning
Day 27
10/ 1/ 2012
Objectives:
• Introduction to inductive
Reasoning.
• Use the inductive reasoning
to find the next term.
Assignment
Class Work
• Define the bolded terms.
• Work investigation on page
98 and problems 5 and 8.
• Work on investigation on
page 102 and example A on
page 103.
Homework
Page 99 # 3, 7, 17.Page 105 #
1,2,3,4.
Section 2.4 Deductive Reasoning
Day 28
(10/2/2012)
Objectives:
• Introduction to deductive
Reasoning.
• Learn the relationship
between inductive and
deductive reasoning.
Assignment
Class Work
• Go over the warm up.
• Write the definition of
deductive reasoning.
• Work on Example B on page
115 and investigation
“Overlapping Segments on
Page 116.
• Start the homework.
Homework
Page 117 1-5 all,8.
Day 28
Warm up
• Identifying a Pattern
1. Find the next item in the pattern.
January, March, May, ...
2. Find the next item in the pattern.
7, 14, 21, 28, …
3. Find the next item in the pattern
Section 2.5
Angle Relationships
Day 29
(10/3/2012)
Objectives:
• Discover relationship
between special pairs of
angles.
• Practicing performing
investigations and writing
conjectures.
Assignment
Class Work
• Go over the warm up.
• Work on investigations 1
and 2. on page 122-123.
• Page 124 # 1-4 all and page
118 # 14-16 all, 22-31 all,
and 33, 35. Due in the end
of the class.
Day 29
warm up
Is the conclusion a result of inductive or deductive reasoning?
1. At Reagan High School, students must pass
Geometry before they take
Algebra 2. Emily is in Algebra 2, so she must have passed Geometry.
Section 2.5
Angle Relationships
Day 30
(10/4/2012)
Objectives:
• Discover relationship
between special pairs of
angles.
• Note book Quiz
Assignment
Class Work
• Go over the warm up.
• Work on problems page 125
# 5, 8, 9, 10, 11, 13, 15.
• Note book Quiz.
Section 2.6
Day 31
Special Angles and
Parallel Lines.
(10/5/2012)
Objectives:
• Explore relationship of the
angles formed by a
transversal cutting parallel
lines .
• Complete the conjectures
on page 129.
Assignment
Class Work
Note book Quiz
Homework :
Define the Bolded terms on
page 128.
Work on investigation 1 on
page 128 and complete the
conjectures on page 129.
Day 28
Warm up Answers
1. The next month is July.
2. Multiples of 7 make up the pattern. The next
item is 35.
3. In this pattern, the figure rotates 90° counterclockwise each time.
The next figure is
.
Section 2.6
Special Angles and
Parallel Lines.
Day 32
10/8/2012
Objectives:
• Explore relationship of the
angles formed by a
transversal cutting parallel
lines .
• Complete the conjectures
on page 129.
Assignment
Class Work
• Go over the warm up
• Complete the conjectures
on page 129.
• Start the homework
Homework
Page 131-133
# 1,2, 3, 6,7, 9, 10,14, 15, 16.
Day 32
(10/8/2012)
Warm up
• mXYZ = 2x° and mPQR = (8x - 20)°.
1. If XYZ and PQR are supplementary, find the measure of
each angle.
2. If XYZ and PQR are complementary, find the measure of
each angle.
3. If <XYZ and < PQR are vertical, find the measure of each angle.
Chapter 2
Day 33
10/9/2012
Objectives:
• Review and apply concepts:
• Deductive reasoning
• Inductive reasoning.
• Vertical and linear pair if
angles.
• Special Angles on parallel
lines.
Review
Assignment
Class Work
• Go over the warm up
• Go over homework
questions.
Homework
Page 140 # 4, 6, 7, 15, 19.
Day 33
• 1.Find m< ECF.
• 2. Find m<DCE.
Warm up
Homework Answers
•
•
•
•
•
1 63
2 90
3 No
6 113
7 a=d=64, b=c=116, e=g=i=j=k=108, f=h=s=72,
m=105,
•
•
•
•
•
Day 10/8/2012
n=79, p=90, q=116, t=119.
9 56 + 114 = 170 NO 180
10 55 + 45 = 100 no 180
14 42
15 20
16 The lines are not parallel
Chapter 2
Day 34
10/10/2012
Objectives:
• Review and apply concepts:
• Deductive reasoning
• Inductive reasoning.
• Vertical and linear pair if
angles.
• Special Angles on parallel
lines.
Review
Assignment
Class Work
Go over examples from the
hand out.
Go over questions from the
hand out.
Homework
Finish the Hand out
Day 34
Warm up
Day 35
10/11/2012
Chapter 2 Test
Algebra Review
Day 36
10/12/2012
Objectives:
• Review evaluating
expressions and solving
linear equations.
Assignment
Class Work
• Go over the warm up
• Go over examples from the
hand out.
• Finish the hand out
Day 36
• Find mABD.
Warm up
Section 3.1 Duplicating Segments and
Angles
Day 37
10/15/ 2012
Objectives:
• Distinguish among
construction, Sketch, and
drawings of geometry
figures.
• Discover constricting
methods to duplicate a
segment , an angle, and a
polygon.
Assignment
Class Work
• Go over the warm up.
• Do vocabulary of section
3.1.
• Follow the steps of the
hand out and complete
each construction on
examples 1-5.
Homework
Page 147 # 1,2 ,4, and 7
Day 37
Solve for x.
1. 2x- 4+ 3x = 6
2. -5x -10 = 20x
3. -3x – 2 –x = 6
Warm up
Vocabulary of Section 3.1
1. Sketch
When we sketch a geometric figure ( for example a equilateral triangle)
we make a freehand figure ( equilateral triangle)
2. Draw
When we draw a geometric figure ( an equilateral triangle), we use a
protractor to measure the angles and a ruler to measure the sides.
3. Construct
When we construct a geometric figure, we use a straightedge and a
compass only.
4. Duplicate
Means to copy a figure using straightedge and compass only.
Section 3.2
Construction
Perpendicular Bisectors
Day 38
10/16/2012
Objectives:
• Construct perpendicular
bisectors and midpoints.
• Make conjectures about
perpendicular bisectors.
Assignment
Class Work
• Go over the warm up
• Do the vocabulary of
section 3.2.
• Follow the steps of the
video and complete each
construction.
Homework
Finish the hand out
Day 38
Warm up
• Find the midpoint of the segment with the
given endpoints.
• 2. (–1, 6) and (3, 0)
• 3. (–7, 2) and (–3, –8)
Vocabulary of Section 3.2
1.Segment bisector
• A segment bisector is a ray, a line, or a segment that passes
through the midpoint.
2.Perpendicular bisector
A perpendicular bisector is a line, segment , or ray that is
perpendicular to a segment at its midpoint.
3.Median
Median is a segment that connects the vertex of a triangle with
the midpoint of the opposite side.
4.Midsegment
A segment that connects the midpoints of two sides of a triangle
is called the midsegment.
Section 3.3-3.5
Constructing
Perpendiculars to Lines.
Day 39
10/17/2012
Objectives:
• Constructing perpendiculars
to a line.
• Construct the altitudes of a
triangle.
• “PAST Testing this lecture
moved for Friday “
Assignment
Class Work
• Go over the warm up
• Do the vocabulary of section
3.3.
• Sketch a triangle and draw the
altitude from every angle.
• Solve the three problems
written on the board.
Homework
Page 153 # 15-20 all
Section 3.3-3.5
Day 40
10/18/2012
Objectives:
Review:
• Special angle and parallel
lines.
• Vertical angles
• Constructing with simple
geometric tools.
Review
Assignment
Class Work
Notebook Quiz
Section 3.3-3.5
Constructing
Perpendiculars to Lines.
Day 41
10/19/2012
Objectives:
• Constructing perpendiculars
to a line.
• Construct the altitudes of a
triangle.
Assignment
Class Work
1. Go over the warm up
2. Do the vocabulary of section
3.3.
3. Solve the three problems
written on the board.
4. Class work is due in the end of
the class.
Homework
Page 153 # 15-20 all
Day 41
Warm Up
• Refer to the diagram. Use the given information and the
theorems you have learned to show that r || s.
m3 = 2x, m7 = (x + 50),
x = 50
Vocabulary 3.3
1.Distance from a line.
• Distance from a point to a line is the length of the
perpendicular segment from the point to the line.
2.Altitude
• An a altitude of a triangle is a perpendicular segment
from the vertex to the opposite side.
3.Orthocenter
• Orthocenter is the point where the three altitudes of
a triangle meet. The three altitudes of a triangle are
congruent(have the some length ) .
Section 3.5 Constructing Parallel Lines
Day 42
10/22/2012
Objectives:
• Construct parallel lines
using compass and
straightedge .
• Find the slope of a lines.
• Parallel and perpendicular
lines and their slopes.
Assignment
Class Work
• Hand out
Section 4.1
Triangle Sum
Conjecture
Day 43
10/23/2012
Objectives:
• Use triangle sum theorem .
• Develop inductive and
deductive reasoning.
Assignment
Class work
• Go over the warm up.
• Use triangle sum conjecture
to solve problems.
• Start working on the hand
out. # 1-13 all.
Homework
• Finish the hand out
Triangle Sun Conjecture or Theorem
Day 43
Warm up
• For the given triangle sketch the altitude from
<C and labeled CK . Sketch the median from
<B and labeled BN
•
C
A
B
Day 44
Warm up
1. Find the Measure of the indicted angle.
Review Parallel lines and Triangle Sum
Conjecture
Day 45
10/25/2012
Objectives:
Review angle relationship of
two parallel lines and a
transversal.
Review triangle sum
conjecture.
• (Early Release Day )
Assignment
Class Work
• Hand out
Day 46
10/26/2012
• No School Teachers Planning Day
Section 4.2
Properties of
Isosceles Triangles
Day 47
10/29/2012
Objectives:
• Discover the relationship
between the base angles of
an isosceles triangle.
• Learn new vocabulary
• Construct points of
concurrency of the given
triangle.
(Block schedule day 48
10/30/2012)
Assignment
Class Work
• Go over the warm up
• Go over the properties of
isosceles triangle.
• Go over problems from the
hand out.
• Finish the hand out.
• “Due in the end of the
class!”
Properties of Isosceles Triangle
• 1.If a triangle is isosceles, then its base angles
are congruent.
• 2. If two base angles of a triangle are
congruent, then the triangle is isosceles.
Leg
__
__
Base
Leg
More vocabulary
1. When a set of lines have a point in common they are concurrent.
2. The Angle Bisector Conjecture
• The three angle bisectors of a triangle meet at a point (are
concurrent).This point is called the incenter.
3. The Perpendicular Bisector Conjecture
• The three perpendicular bisectors of a triangle meet at a point
called circumcenter.
4. The Altitude Conjecture
• The three altitudes of a triangle meet at a point (are concurrent )
called the orthocenter.
5. The point of intersection (concurrency) of the three medians is called
the centroid.
Interim Review
Day 49
10/ 31/2012
Objectives:
• Review concepts of
chapters 1-3.
• Prepare for the interim
Assessment .
• (Block Schedule day 50
11/1/2012)
Assignment
Class Work
Go over the warm up.
• Hand out
• 40 min independent work.
• Go over questions and
unsolved problems.
Day 51
11/2/2012
Interim Assessment
Day 52
11/5/2012
Interim Assessment
DAY 53
11/6/2012
No school teachers planning day
Section 4.3
Triangle Inequalities
Day 54
11/7/2012
Objectives:
• Investigate the relation
among sides and angles of a
triangle.
• Exterior Angle Conjecture.
•
Assignment
Class Work
• Go over the warm up
• Go over the conjectures.
Class Work/ Homework
Page 218 # 1-9 all and #
14,15,16.
Section 4.3
Conjectures
1. Triangle Inequality Conjecture
The sum of the lengths of any two sides of a triangle is greater
than the length of the third side triangles.
2.Side-angle Inequality
The angle opposite the longest side is the largest angle.
3.Exterior angle conjecture
The measure of the exterior angle of a triangle is equal to the
sum of the measure of the remote interior angles.
Day 54 Homework Answers
•
•
•
•
•
•
•
•
5) a,b,c
6) c,b,a
7) b,a,c
8) a,c,d
9) a,b,c
14) 135
15 ) 72
16) 72
Section 4.3
Triangle Inequalities
Day 55
11/8/2012
Objectives:
• Investigate the relation
among sides and angles of a
triangle.
• Exterior Angle Conjecture.
•
Assignment
Class Work
Go over the Warm up
Go over problems from the
hand out
Finish the hand out
Section 4.4
Are there
Congruence Shortcuts.
Day 56
11/9/2012
Objectives:
• Explore shortcut methods
of determining whether
triangles are congruent.
• Types of triangle
congruency.
Assignment
Class Work
• Go over the warm up
• Go over SSS and SAS
conjecture.
• Go over Examples.
Homework
Page 224 # 4-9 all 12, 13, 16.
Section 4.4
Conjectures
Section 4.5
Day 57
Congruence Shortcuts
11/13/2012
Objectives:
• Explore shortcut methods
of determining whether
triangles are congruent.
• Types of triangle
congruency.
Assignment
Class Work
• Go over the warm up
• Go over ASA, SAA,
congruencies.
• Start with the Homework
Homework
• Page 229 # 4-9 all. 10,12,
14, 16, 18.
Angle-Side-Angle Congruence
Angle-Angle-Side Congruence
Review Sections 4.3-4.4
Day 58
11/14/2012
Objectives:
• Review triangle congruence.
• Practice SAS, SAA, ASA,SSS.
Assignment
Class Work
• Go over homework
questions.
• Go over problems from the
hand out.
• Hand out due in the end of
the class********
Section 4.6
Corresponding Parts
of Congruent Triangles
Day 59
11/15/2012
Objectives:
Show that pairs of angles or
pairs of sides by identifying
related triangles and
proving them congruent.
Assignment
Class Work
Go over the warm up.
Go over the definition of
congruence.
Go over proving triangle
congruence.
Homework
Page 233 # 1, 2, 3, 4, 5, 7, 9
Day 60
11/16/2012
Notebook Quiz
Chapter 3 and 4.1-4.6
Section 4.6
Corresponding Parts
of Congruent Triangles
Day 61
11/19/2012
Objectives:
Show that pairs of angles or
pairs of sides by identifying
related triangles and
proving them congruent.
Assignment
Class Work
Go over the warm up.
Go over proving triangle
congruence.
Go over # 1, 12, 15.
Finish the Hand out.
Day 62
• The class will be in the Lab
11/20/2012
Day 63
11/21/2012
Sections 4.1-4.6 Quiz
Sections 4.1-4.5 Review
Day 64
1/26/20122
Objectives:
Show that pairs of angles or
pairs of sides by identifying
related triangles and
proving them congruent.
• Investigate the relation
among sides and angles of a
triangle.
• Exterior Angle Conjecture.
Assignment
Class Work
Go over the Quiz
Homework
Quiz Corrections
Section 4.7
Day 65
11/28/2012
Objectives:
• Create flowchart proofs.
• Develop problem solving
skills.
• Develop Logical and visual
thinking.
Flowchart Thinking
Assignment
Class Work
• Go over the warm up.
• Go over Examples A and B
on page 237-238. Page 239
#2
Homework
Page 240 # 3,4,5,8,10.
Section 4.8
Proving Special
Triangle Conjecture
Day 66
11/29/2012
Objectives:
• Practice Writing flow charts.
• Investigate vertex and angle
bisector of isosceles
triangle.
• Use properties of Isosceles
triangle to find properties
of equilateral Triangle.
Assignment
Class Work
Go over the warm up.
Go over homework questions.
Homework
Study the homework Pop Quiz
tomorrow.
Section 4.7-4.8 Review
Day 67
11/29/2012
Objectives:
Review and practice flow
charts and properties of
isosceles and equilateral
triangles .
Assignment
Class Work
Go over the Warm up
Go over questions from the
Hand out.
Chapter 4 Review
Day 68
12/ 3/2012
Objectives:
• Show that pairs of angles or
pairs of sides by identifying
related triangles and proving
them congruent.
• Investigate the relation among
sides and angles of a triangle.
• Exterior Angle Conjecture.
• Investigate vertex and angle
bisector of isosceles triangle.
Assignment
Class Work
Go over the warm up.
Go over problems from the
Hand out.
Page 252, Work on problems
7-18 all, 29, 32.
Day 69
• The class is in the Lab
• Working on sections 1.1-1.5.
12/4/2012
Chapter 4 Review
Day 70
12/5/2012
Objectives:
• Show that pairs of angles or
pairs of sides by identifying
related triangles and proving
them congruent.
• Investigate the relation among
sides and angles of a triangle.
• Exterior Angle Conjecture.
• Investigate vertex and angle
bisector of isosceles triangle.
Assignment
Class work
Go over the warm up.
Go over problems from the
Hand out.
# 19-26 all.27*,28,29, 32.
Day 70
12/6/2012
Chapter 4 Test
Section 5.1
Polygon Sum
Conjecture
Day 71
12/7/2012
Objectives:
Discover the sum of the angle
measures in a polygon.
Practice construction skills.
Develop reasoning.
Assignment
Class Work:
Go over the warm up.
Go over Investigation 1. and
problem # 5 and 8.
Start working on the
homework.
Homework
Page 259 # 1, 2, 3, 4, and 7.
Section 5.1
Polygon Sum
Conjecture
Day 73
12/11/2012
Objectives:
Discover the sum of the angle
measures in a polygon.
Practice construction skills.
Develop reasoning.
Assignment
Class Work:
Go over the warm up.
Page 260 # 9,10,13,14.
Yesterday’s Homework
Pg 260 # 5, 6, 8, 12
DUE IN THE END OF THE
CLASS.
Section 5.2
Day 77
Exterior angles of
a Polygon
12/14/2012
Objectives:
• Discover the sum of the
measures of the exterior
angles of a polygon.
• Use the formula for the
measures of the exterior
angles of a polygon.
Assignment
Class Work
• Go over the warm up.
• Write the Exterior Angle
Conjecture.
• Start working on the
homework # 1,2,3,7.
Homework:
Page 263 # 1-9 all.
Make up work page 252 #7-24
all,27 and 29.
Section 5.1-5.2
Day 75
12/12/2012
Objectives:
Discover the sum of the angle
measures in a polygon.
Practice construction skills.
Develop reasoning.
Practice
Assignment
Hand-out .
Due in the end of the class.
Section 5.2
Exterior angles of
a Polygon
Day 76
12/13/2012
Objectives:
• Review concepts of sections
5.1-5.2.
• Early release day
Assignment
Class Work
• Finish problems 1-3
Section 5.3
Kite and Trapezoid
Properties.
Day 77
12/17/2012
Objectives:
• Discover the properties of
kites and Trapezoids .
• Learn more vocabulary
Assignment
Class Work
• Go over the warm up
• Complete the vocabulary of
section 5.3.
Homework
Page 271 # 1-4 all.
Lab
Day 78
12/18/2012
Objectives:
Plan A
Review Chapters 2-3
Concepts.
Plan B
If the program does not work
Finish Monday's homework
Practice
Assignment
Class Work
• Log in cognitive tutoring
and work on assigned
sections.
Section 5.4
Properties of
Midsegments
Day 79
12/19/2012
Objectives:
• Define and discover
properties of the
midsegment in a triangle
and trapezoid.
• Practice constructions
skills.
Assignment
Class Work
• Go over the warm up
• Write section 5.4
conjectures.
Homework
Page 277 # 1-8 all.
Section 5.3-5.4
Day 80
12/20/2012
Objectives:
Review properties of the Kite,
Trapezoids , and
midsegments.
Review
Assignment
Class Work
• Hand out
• Section 5.3 # 1-5.
• Section 5.4 # 1-5.
“Due in the end of the class”
Day 81
12/21/2012
Note book Quiz
Section 5.5
Properties of a
Parallelogram.
Day 82
1/7/2013
Objectives:
• Review the definition on a
parallelogram.
• Discover properties of the
parallelogram.
• Write conjectures this
section.
Assignment
Class Work
• Go over the warm up
• Complete conjectures of
section 5.5.
• Start working on the
homework
Homework:
Page 283 # 1-6 all, 16.
Section 5.5
Parallelogram
Conjectures
1. The opposite angles of a parallelogram are
congruent.
2. The consecutive angles of a parallelogram are
supplementary.
3. The opposite sides of a parallelogram are
congruent.
4. The diagonals of a parallelogram bisect each
other.
Section 5.6
Properties of
Special Parallelograms.
Day 83
1/8/2013
Objectives:
• Discover the properties of
Rhombus, Rectangle, and
Square.
• Write the conjectures of
this section.
Assignment
Class Work
Go over the warm up
Go over the conjectures of this
section.
Start with the homework
Homework
Page 294 # 1-13 odd.
Section 5.6
Conjectures
1. Definition
. A rhombus is a parallelogram with four
congruent sides
Rhombus conjectures:
1. The diagonals of a rhombus are
perpendicular and bisect each other.
2. The diagonals of e rhombus bisect the angles
of the rhombus.
Section 5.5 Continues…..
2. Definition
A rectangle is a parallelogram with four
congruent angles.
Rectangle conjectures:
1 The diagonals of a rectangle are congruent
and bisect each other.
Section 5.5 Continues…..
3. Definition
A square is an equiangular rhombus or
equilateral rectangle.
Conjecture:
1. The diagonals of a square are congruent
perpendicular and bisect each other.
Section 5.7
Proving
Quadrilateral Properties.
Day 84
1/9/2013
Objectives:
Use flowchart proofing to
proof properties of different
quadrilaterals.
Review conjectures of sections
5.1-5.7.
Assignment
Class Work
Go over some of the problems
in the hand out.
Finish the hand out.
Lab Day
Day 84
1/10/2013
Objectives:
• Practice and review
concepts learned on
chapter 2.
Assignment
Class work
• Finish the assigned sections
Day 85
1/11/2013
Quiz
Note Book
• Write and sketch a figure to illustrate all conjectures of the
following dates. Create a problem and use each conjecture to
solve.
• Day 78
12/17/2012 Kite,… section 5.3
• Day 79
12/19/2012 Section 5.4
• Day 82
1/7/2013 Section 5.5
• Day 83
1/8/2013 Section 5.6
Chapter 5
Day 86
1/14/2013
Objectives:
Review properties of
Quadrilaterals.
Use the conjectures to solve
problems.
Block schedule
Review
Assignment
Class Work
Note book quiz is due.
Chapter 5 review
Hand out.
Chapter 5 test.
Section 6.1-6.2
Day 88
1/16/2013
Objectives:
Review basic properties of a
circle and circle vocabulary.
Discover properties of a
tangent of a circle.
Learn more vocabulary.
Block schedule.
Circle
Assignment
Class Work
• Go over the warm up.
• Complete the vocabulary of
section 6.1-6.2.
• Write one example for each
conjecture.
Class Work
Finish the hand out.
Section 6.1
Vocabulary and
Conjectures.
1.Tangent Conjecture
• A tangent to a circle is perpendicular to the radius to
the point of tangency.
Section 6.1 …….
2. Tangent Segment Conjecture
Tangent segments of a circle from a point outside of the
circle are congruent.
Section 6.1
Vocabulary
1.Tangent Circles are circles that are tangent to
the same line.
2. Internally tangent circles
3. Externally tangent circles
Section 6.2
Vocabulary and
Conjectures
• 1. Central angle
A central angle has its vertex at the center of the
circle.
Section 6.2……
2.Inscribed Angle
A inscribed angle has its vertex on the circle and its
sides are chords.
Section 6.2…..
• 1. Chord Central Angle Conjecture
If two chords in a circle are congruent, then they
determine two central angles that are congruent.
Section 6.2…
• 2. Chord Arc Conjecture
If two chords are congruent, then the intercepted arcs
are congruent.
Section 6.2……
• 3. Perpendicular to a Chord Conjecture
The perpendicular from the center of the circle to a
chord is the bisector of the chord.
Section 6.2………..
4. Chord Distance to Center Conjecture
• Two congruent chords in a circle are equidistant from
the center of the circle.
Section 6.2….
• 5. Perpendicular Bisector of a Chord Conjecture.
The perpendicular bisector of a chord passes through
the center of the circle.
Lab
Day 99
1/17/2013
Objectives:
• Practice conjectures of
chapter 5.
• Kite, Trapezoid,
Parallelogram, Rectangle
,Rhombus, and Square.
Assignment
• Finish the assigned section.
Section 6.1-6.2
Day 100
1/22/2013
Objectives:
Review basic properties of a
circle and circle vocabulary.
Discover properties of a
tangent of a circle.
Learn more vocabulary.
Block schedule.
Circle
Assignment
Class Work
• Go over the warm up.
• Complete the vocabulary of
section 6.1-6.2.
• Write one example for each
conjecture.
Class Work
Finish the hand out.
Sections 6.3
Day 101
1/23/2013
Objectives:
• Discover the relationship
between the inscribed angle
of a circle and its
intercepted arc.
Block Schedule
Arcs and Angles
Assignment
Class Work
• Go over the warm up
• Go over questions from the
hand out.
• Section 6.1-6.2 hand out
due.
• New hand out due in the
end of the class.
Conjectures
Section 6.3
1. Inscribed Angle Conjecture
• The measure of an angle inscribed in a circle is half of the
measure of the inscribed Arc.
6.3 Continues …..
2.Inscribed Angle Intercepting Arc Conjecture.
Inscribed angles that intercept the same arc are congruent.
6.3 Continues ……
3. Angles Inscribed a Semicircle Conjecture
Angles inscribed in a semicircle are right angles.
6.3 Continues ……
4.Cyclic Quadrilateral Conjecture
The opposite angles of a cyclic quadrilateral are
supplementary.
6.3 Continues ……
5. Parallel Lines Intercepted Arc Conjecture
• Parallel lines intercept congruent arcs on a
circle.
Lab Day
Day 102
1/24/2013
Objectives:
• Interim Assessment Test
• Practice sections 6.1-6.2 on
Carnegie Learning .
Assignment
Class Work
• Finish the Interim
Assessment Test
• Work on Carnegie Learning
• Finish the assigned sections.
Sections 6.3
Day 103
1/25/2013
Objectives:
• Discover the relationship
between the inscribed angle
of a circle and its
intercepted arc.
Block Schedule
Arcs and Angles
Assignment
Class Work
• Hand out
• “I was out sick”
Section 6.5
Day 104
1/29/2013
Objectives:
• Calculate π, the ratio of the
circumference of a circle to
its diameter.
Assignment
Class Work
Go over the warm
Go over the conjectures of
section 6.5.
Homework
Page 337 # 1-10 all.
Section 6.7
Day 105
1/30/2013
Objectives:
Discover the Arc Length
formula.
Apply the Arc Length formula.
Arc Length
Assignment
Class Work
• Go over the warm ups.
• Go over the examples and
arc length conjecture.
Homework
• Page 351 # 1-9 all.
Lab
Dai 106
1/31/2013
Objectives:
• Practice conjectures of
sections 6.1-6.7
Assignment
Class Work
• Finish the assigned sections.
• If the cognitive tutoring
does not work on problem
1-10 page 359.