Download Geometry in Nature and in Art

First Day of School
Day 1
8/19/2013
Objectives:
• Go over the classroom rules
and regulations.
• Go over the syllabus.
• Discuss expectations and
answer questions .
Assignment
Homework
• Check the text book online.
• Bring colors and geometry
tools for folder decoration.
Geometry in Nature and in Art
Day 2
8/20/2013
Objectives:
• Use geometry to create art
designs.
• Identify reflectional and
rotational symmetry.
Assignment
Class work
• Decorate the folder using
designs on page 8,10,
and11.
• Identify reflectional or
rotational symmetry of your
design.
• Homework
Read lesson 1.1 Page 28
Section 1.1
Building blocks of
Geometry
Day 3
8/21/2013
Objectives:
• Learn the terminology and
the notation of points, lines,
segments, rays, plane,
collinear and coplanar
points.
Assignment
Class Work
• Finish the folder decoration 15
min.
• Do the vocabulary of section
1.1 .
• Give examples for each
concept.
Homework
Pages 33-34 # 1-12 all 18 and 21.
Midpoint Formula
Day 4
8/22/2013
Objectives:
• Review coordinate midpoint
property.
• Find the coordinates of the
midpoint by using midpoint
formula.
Assignment
Class work
Go over homework questions.
• Go over the hand-out.
Homework:
Finish the homework posted
online at Miami Killian
Website.
Section 1.2
Day 5
8/23/2013
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
• Go over homework questions.
• Do the vocabulary.
• Write examples for each new
concept
Homework
Go over the examples in you text
book!
Page 42-43 # 1-14 all 18, 20, 35,
and36 .
Midpoint Homework key
1. (4.5,0)
2. 9(2a,(b+c)/2)
3. (4,-3)
4. Yes they have the same midpoint. The
midpoint is (2,2).
5. (7,9)
6. (4,4)
Section 1.3 What’s a Widget?
Day 6
8/26/2013
• Objectives:
• Review section 1.1-1.2
concepts.
• Practice to write definitions.
• Define special angle
relationship.
Day 7
8/27/2013
Block schedule
Assignment
Class Work
• Go over the homework questions.
• Go over the vocabulary on the
handout.
• Write examples of special angles.
• Collect binders. Grade HW day 3
page 33-34.
• Finish the hand out.
Class Work/ homework
• Page 51 # 1-8 all, 12, 13, 15-18 all,
22, 23.
Day 8 and 9 August 27-28
• Baseline Testing
• If students finish early Write the definitions of
• Section 1.4
Quiz Sections 1.1-1.3
Day 10
8/29/2013
Objectives:
• Test the following concepts:
• Define special angle
relationship.
• Become familiar with the
symbols of marking angles
and congruent angles
• Find the coordinates of the
midpoint by using midpoint
formula.
Assignment
Class Work
• Quiz
Sections 1.4-1.5
Day 11
9/3/2013
Objectives:
• Define and classify polygons
and related terms.
• Practice writing definitions.
• Learn even more vocabulary
• Define and classify triangles
• Practice with definitions.
• Day 12
9/4/2013
• Block Schedule
Assignment
Class Work
• Go over the homework.
• Go over the definitions of
sections 1.4-1.5.
• Work on the hand-out.
Sections 1.4-1.5
Polygons
and Triangles
Day 13
9/6/2013
Objectives:
• Define and classify polygons
and related terms.
• Practice writing definitions.
• Learn even more vocabulary
• Define and classify triangles
• Practice with definitions.
Assignment
Class Work
• Go over the quiz.
• Go over worksheets 1.1-1.2
and 1.4-1.5.
Class Work / Homework
• Page 56-57 # 4-12 all. 15.
• Page 62 # 1-7 all, 17-21 all.
Section 1.6
Special Quadrilaterals
Day 14
9/9/2013
Objectives:
• Define and classify
quadrilaterals along with
their related parts.
• Learn more vocabulary
related to quadrilaterals.
Assignment
Class Work
• Go over homework
questions.
• Write definitions of the
bolded terms.
Homework
• Page 66 # 1-13 all.
Vocabulary
1. Trapezoid
• A trapezoid is a quadrilateral with exactly one pair or parallel sides.
2. Kite
• A kite is a quadrilateral with two distinct pairs 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
Day 15
9/10/2013
Objectives:
• Define a circle and related
figures.
• Identify parts of a circle.
Circles
Assignment
Class Work
• Go over the Worm up.
• Go over the homework.
• Defined the circle and
parts of a circle.
• Start working on the
homework
Homework:
Page 72 # 2-9 all, 11, 23-26 all.
29, 30, 34.
Warm up
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.
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 1.6-1.7
Day 16 9/11/2013
Objectives:
• Define and classify
quadrilaterals along with
their related parts.
• Learn more vocabulary
related to quadrilaterals.
• Define a circle and related
figures.
• Identify parts of a circle.
Review
Assignments
Class Work
• Go over the homework.
• Hand out
Homework
• Study the vocabulary of
sections 1.5-1.7 for the quiz
tomorrow.
Section 1.6-1.7 Quiz
Day 17
9/12/2013
Objectives:
• Define a circle and related
figures.
• Identify parts of a circle.
• Define and classify
quadrilaterals along with
their related parts.
• Learn more vocabulary
related to quadrilaterals.
Assignment
Class Work
• Quiz
Section 1.8
Day 18
9/13/2013
Objectives:
• Visualize Objects and
relationships in two and
three dimension.
• Practice drawing skills
Space Geometry
Assignment
Class Work
• Practice drawing important
geometric solids.
• Practice word problems.
• Page 84 # 3,4,5, and 11.
Homework
Page 78 1-6 all and 14-17 all.
Chapter 1 Review
Day 19
9/16/2013
Objectives:
• Review vocabulary and
notation of chapter 1.
• Use concepts of this chapter
to solve word problems.
Assignment
Class work
• Go over the quiz.
• Go over problems page 90,
1-25 all, 26, 39, 40, 42,44.
Class work / Homework
• Page 92 # 31, 32, 35, 38, 46,
48.
• I was absent on this day!!!
Chapter 1 Review
Day 20
9/17/2013
Objectives:
• Review vocabulary and
notation of chapter 1.
• Use concepts of this chapter
to solve word problems.
Assignment
Class Work
• Go over questions
• Page 90, 1-25 all, 26, 39, 40,
42,44.
• Go over the quiz.
• Finish Problems 31,32,
38,41, 43, 46, 48,49.
Homework
• Study for the test.
Chapter 1 Test
Day 21
9/18/2013
Objectives:
• Review vocabulary and
notation of chapter 1.
• Use concepts of this chapter
to solve word problems.
Assignment
Class Work
• Test
Section 2.5-2.6 Angle Relationship
Day 22
9/19/2013
Objectives:
• Discover relationship
between special pairs of
angles.
• Practicing performing
investigations and writing
conjectures
Assignment
Class Work
• Write the conjectures and
examples of section 2.5-2.6.
• Write the Conjectures on
page 122.
Homework
Worksheet
Section 2.5-2.6 Angle Relationship
Day 23
9/20/2013
Objectives:
• Discover relationship
between special pairs of
angles.
• Practicing performing
investigations and writing
conjectures
Assignment
Class Work
Go over the homework
questions.
Work on the worksheet.
Section 2.5-2.6 Angle Relationship
Day 24
9/23/2013
Objectives:
• Discover relationship
between special pairs of
angles.
• Practicing performing
investigations and writing
conjectures
Assignment
Class Work
Go over the homework
questions.
Work on the worksheet.
Section 2.5-2.6 Angle Relationship
Day 25
9/24/2013
Objectives:
• Discover relationship
between special pairs of
angles.
• Practicing performing
investigations and writing
conjectures
Assignment
Class Work
• Go over the worksheets
from Friday 9/20/2013 and
Monday 9/23/2013.
• Go over the test.
Homework
• Read examples of sections
2.1-2.2
Sections 2.1-2.2 Inductive Reasoning
Day 26
9/25/2013
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
.
• Work on investigation on page
102 and example A on page
103.
Homework
Page 99 # 3-7 all 11,15 page 101
# 31-37 all. Page 105 # 1,2,3.
Section 2.4 Deductive Reasoning
Day 27
9/26/2013
Objectives:
• Introduction to deductive
Reasoning.
• Learn the relationship
between inductive and
deductive reasoning.
Assignment
Class Work
• Go over the homework.
• 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 # 2,3,8,10, 22-31 all, 33,
34.
Chapter 2 Review
Day 28
9/30/2013
Objectives:
• Introduction to inductive
Reasoning.
• Use the inductive reasoning to
find the next term.
• Discover relationship between
special pairs of angles.
• Practicing performing
investigations and writing
conjectures
Assignment
Class Work
Friday's Worksheet due.
Worksheet
Chapter 2 Review
Day 29
10/1/2013
Objectives:
• Introduction to inductive
Reasoning.
• Use the inductive reasoning to
find the next term.
• Discover relationship between
special pairs of angles.
• Practicing performing
investigations and writing
conjectures
Assignment
Class Work
Worksheet
Chapter 2 Test
Day 30
10/2/2013
Objectives:
• Introduction to inductive
Reasoning.
• Use the inductive reasoning to
find the next term.
• Discover relationship between
special pairs of angles.
• Practicing performing
investigations and writing
conjectures
Assignment
Class Work
Worksheet
Chapter 2 Test
Day 31
10/2/2013
Objectives:
• Introduction to inductive
Reasoning.
• Use the inductive reasoning to
find the next term.
• Discover relationship between
special pairs of angles.
• Practicing performing
investigations and writing
conjectures
Assignment
Class Work
Go over the Test
Homework
Worksheet
Section 3.2
Construction
Perpendicular Bisectors
Day 32
10/3/2013
Objectives:
• Construct perpendicular
bisectors and midpoints.
• Make conjectures about
perpendicular bisectors
Assignment
Class Work
• Go over the homework.
• Do the vocabulary of section
3.2.
• Follow the steps of the
investigation 2 on page 150.
to complete each
construction.
Homework
Page 151 # 1, 7, 8, 9, and 15-20
all.
Section 3.3
Constructing
Perpendiculars to Lines.
Day 33
10/4/2013
Objectives:
• Constructing perpendiculars
to a line.
• Construct the altitudes of a
triangle.
Assignment
Class Work
• Finish yesterday’s
homework page 151 #
1,7,8,and 9.
• Write the definitions and
examples of section 3.3.
Homework
Review definitions of sections.
3.2-3.3
Page 156 # 1-3 all.
Section 3.5
Day 34
10/7/2013
Objectives:
• Construct parallel lines
using compass and
straightedge .
• Find the slope of a lines.
• Parallel and perpendicular
lines and their slopes.
Parallel Lines
Assignment
Class Work
• Go over the homework.
• Review slope of a lines.
• Parallel and perpendicular
lines and their slopes.
• Examples.
Homework
Worksheet
•
Section 3.7
Day 35
Constricting point of
Concurrency
10/8/2013
Objectives
• Discovering points of
concurrency.
• Explore the relationship
between point of
concurrency and inscribed
and circumscribed circle.
Assignment
Class work
• Go over the homework
questions.
• Write the conjectures and
examples.
Homework
• Worksheet
Section 3.8
Day 36
10/9/2013
Objectives:
• Discover the concurrence of
the medians of a triangle.
• Explore length relationship
among the segments into
which the centroid divides
each median.
The Centroid
Assignment
Class Work
• Go over the homework.
• Worksheet.
• Do investigation 1 Page 185.
• Write the conjectures and
examples.
Homework
• Page 188 # 2,3,4.
Chapter 3
Day 37
10/10/2013
Objectives
• Review all the vocabulary
and contraction techniques.
• Solve problems using this
chapter’s concepts.
Review
Assignment
Class Work
• Worksheet
Homework
Review all the vocabulary of
chapter 3.
Chapter 3 Test
Day 38
Objectives
•
•
•
•
10/11/2013
Discover the concurrence of the
medians of a triangle.
Explore length relationship among
the segments into which the
centrid divides each median.
Discovering points of concurrency.
Explore the relationship between
point of concurrency and inscribed
and circumscribed circle.
Assignment
Class Work
• Test
Section 4.1
Day 39
Triangle Sum
Conjecture
10/14/2013
Objectives:
• Use triangle sum theorem .
• Develop inductive and
deductive reasoning
Assignment
Class Work
Go over the triangle sum
conjecture and examples.
Homework
Page 203 # 2,3,4,5,8.
Section 4.2
Properties of
Isosceles Triangles
Day 40
10/15/2013
Objectives:
• Discover the relationship
between the base angles of
an isosceles triangle.
• Learn new vocabulary
• Construct points of
concurrency of the given
triangle.
Assignment
Class Work
Go over the warm-up
• Go over the homework.
• Go over the properties of
isosceles triangle and
examples .
Homework
Page 208 # 1-7 all.
Draw each figure.
Section 4.1-4.2
Day 41
10/16/2013
Objectives:
• Use triangle sum theorem .
• Develop inductive and
deductive reasoning
• Discover the relationship
between the base angles of an
isosceles triangle.
• Learn new vocabulary
• Construct points of
concurrency of the given
triangle.
Review
Assignment
Homework:
Work on the worksheet.
PACT Testing.
Section 4.1-4.2
Day 42
10/17/2013
Objectives:
• Use triangle sum theorem .
• Develop inductive and
deductive reasoning
• Discover the relationship
between the base angles of an
isosceles triangle.
• Learn new vocabulary
• Construct points of
concurrency of the given
triangle.
Review
Assignment
Class work
Go over the homework
questions.
Work on the worksheet.
Note Book Quiz
Day 43
10/18/2013
Objectives:
• Check all conjectures of
chapter 2 and 3.
• Check if students keep
organized notes daily.
Assignment
Class Work
Notebook Quiz.
Section 4.3
Day 44
Triangle Inequalities
10/21/2013
Objectives:
• Investigate the relation
among sides and angles of a
triangle.
• Exterior Angle Conjecture.
•
Assignment
Class Work
Go over the warm-up.
IAT 1-3 all.
Write the vocabulary and
conjectures of section 4.3.
Go over examples.
Homework
Page 218 # 1,3, and 5-10 all.
Quiz tomorrow
30 min Quiz sections 4.1-4.3
Day 45
10/22/2013
Objectives:
• Investigate the relation
among sides and angles of a
triangle.
• Exterior Angle Conjecture.
•
Assignment
Class Work
Warm up IAT # 4 and 5.
• Go over the homework.
• Quiz
Section 4.4
Are there
Congruence Shortcuts.
Day 46
10/23/2013
Objectives:
• Explore shortcut methods
of determining whether
triangles are congruent.
• Types of triangle
congruency.
Assignment
Class Work
• Go over the warm up IAT #
7, and 8.
• Write the vocabulary and
conjectures. Go over
examples.
Homework
• Page 224 # 4-10 all, 12, 14,
and 15.
Section 4.5
Day 47
Congruence Shortcuts
10/24/2013
Objectives:
• Explore shortcut methods
of determining whether
triangles are congruent.
• Types of triangle
congruency.
Assignment
Class Work
Go over the homework
questions.
Write conjectures and
examples.
Homework
Page 229 # 4-8 all , 10,12, and
13. Page 233 # 1-8 all.
• DUE NEXT WEEK!
10/25/2013
Teacher’s Planning Day
Review for Fall Interim Assessment
Day 48
10/28/2013
Objectives:
• Review for Fall Interim
Assessment
• Review chapters 1-4 .
Day 49 10/ 29/2013
• Block schedule
Assignment
Class work
• Worksheet
10/30/2013 AND 11/1/2013
• Fall Interim Assessment Test
• Students are taking Interim Assessment Test
Section 4.6
Corresponding Parts of
Congruent Triangles
Day 50
10/31/2013
Objectives:
Show that pairs of angles or
pairs of sides by identifying
related triangles and
proving them congruent.
Assignment
Class Work
Go over IST
Go over last week homework
Page 229 # 4-8 all , 10,12, and 13.
Page 233 # 1-8 all.
Go over the definition of
congruence.
Go over proving triangle
congruence.
Homework.
Worksheet
Section 4.7
Day 51
11/4/2013
Objectives:
• Create flowchart proofs.
• Develop problem solving
skills.
• Develop Logical and visual
thinking.
Day 52
11/5/2013
Block schedule
Flowchart Thinking
Assignment
Class Work
• Go over flowchart thinking
examples.
Work on problems.
Page 239 # 1-4 all ,10,11,12,
and 13.
Homework
Finish the worksheet
Chapter 4 Review
Day 53
11/6/2013
Objectives:
Show that pairs of angles or
pairs of sides by identifying
related triangles and
proving them congruent.
• Create flowchart proofs.
• Develop problem solving
skills.
• Develop Logical and visual
thinking.
Assignment
Go over yesterday’s work Page
239 # 1-4 all ,10,11,12, and
13.
Class work
Page 251 # 7-24 all and 28.
Homework
Review all chapter
conjectures and examples.
Tomorrow Chapter Test !!!
Chapter 4 Test
Day 54
11/7/2013
Objectives:
Show that pairs of angles or
pairs of sides by identifying
related triangles and
proving them congruent.
• Create flowchart proofs.
• Develop problem solving
skills.
• Develop Logical and visual
thinking.
Assignment
Class Work
Test
11/8/2013
Teacher’s planning day
Section 5.1
Polygon Sum
Conjecture
Day 55
11/12/2013
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, 3, 4,6, 8, and 12
extra credit.
Warm- up
Section 5.2
Day 56
Exterior angles of
a Polygon
11/13/2013
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.
• Go over the homework.
• Write the Exterior Angle
Conjecture and examples.
• Start working on the
homework .
• Go over # 10 page 264.
Homework:
Page 263 # 1-9 all.
Warm-up
• 2.
Section 5.3
Kite and Trapezoid
Properties.
Day 57
11/14/2013
Objectives:
• Discover the properties of
kites and Trapezoids .
• Learn more vocabulary
• “The lesson was postponed
for Monday I was out sick”
Assignment
Class Work
• Go over the warm up
• Complete the vocabulary
and conjectures of section
5.3.
• Write examples for each
conjecture.
Homework
Page 271 # 1-6 all.
Warm-up
• 1.
Review Sections 5.1-5.3
Day 58
11/15/2013
Objectives:
• Use the sum of the angle
measures in a polygon.
• Use the formula for the
measures of the exterior
angles of a polygon.
• Use the properties of kites
and Trapezoids .
Assignment
Class work
Go over the warm-up
Go over the homework.
• Finish the worksheet.
Section 5.3
Kite and Trapezoid
Properties.
Day 59
11/18/2013
Objectives:
• Discover the properties of
kites and Trapezoids .
• Learn more vocabulary
Assignment
Class Work
• Go over the warm up
• Complete the vocabulary
and conjectures of section
5.3.
• Write examples for each
conjecture.
Homework
Page 271 # 1-6 all .
Warm- up
Section 5.4
Properties of
Midsegments
Day 60
11/19/2013
Objectives:
• Define and discover
properties of the
midsegment in a triangle
and trapezoid.
• Practice constructions
skills.
Assignment
Class Work
• Go over the warm up
• Go over the homework.
• Write section 5.4
conjectures and examples.
Homework
Page 277 # 1-7 all.
Warm-up
• 1.Find x and y
Review Sections 5.2-5.4
Day 61
11/20/2013
Objectives:
• Use the properties of kites
and Trapezoids .
• Learn more vocabulary
• Use properties of the
midsegment in a triangle
and trapezoid.
• Practice constructions
skills.
Assignment
Class Work
Go over the homework.
• Worksheet
• “Quiz Tomorrow !!!”
warm-up
• 1.
Sections 5.2-5.3 Quiz
Day 62
11/21/2013
Objectives:
• Use the properties of kites
and Trapezoids .
• Learn more vocabulary
• Use properties of the
midsegment in a triangle
and trapezoid.
• Practice constructions
skills.
Assignment
Class Work
• Quiz
Sections 5.2-5.3 Quiz
Day 63
11/23/2013
Objectives:
• Use the properties of kites
and Trapezoids .
• Learn more vocabulary
• Use properties of the
midsegment in a triangle
and trapezoid.
• Practice constructions
skills.
Assignment
Class Work
• Go over the Quiz
Warm-up
Section 5.5
Properties of a
Parallelogram.
Day 64
11/22/2013
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 and 17.
Section 5.6
Properties of
Special Parallelograms.
Day 65
11/25/2013
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 all.
Warm-up
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 66
11/26/2013
Objectives:
Use flowchart proofing to
proof properties of different
quadrilaterals.
Review conjectures of sections
5.1-5.7.
Assignment
Class Work
Go over the Warm-up
Go over the homework.
Go over # 7 on 5.4
Finish the hand out.
Sections 5.4-5.7 Review
Day 67
11/27/2013
Objectives:
Use flowchart proofing to
proof properties of different
quadrilaterals.
Review conjectures of sections
5.1-5.7.
Assignment
Class Work
• Go over yesterdays
worksheet.
• Finish the notebook quiz.
• “Have a nice Thanksgiving”
Warm-up
Chapter 5
Day 68
12/2/2013
Objectives:
Review properties of
Quadrilaterals.
Use the conjectures to solve
problems.
Review
Assignment
Class Work
Chapter 5 Review
Review all the conjectures of
this chapter
Work on problems Page 304 #
7-11 all 13, and 15
Chapter 5
Day 69
12/3/2013
Objectives:
Review properties of
Quadrilaterals.
Use the conjectures to solve
problems.
Test
Assignment
Class Work
Chapter 5 Test
Chapter 5
Day 70
12/4/2013
Objectives:
Review properties of
Quadrilaterals.
Use the conjectures to solve
problems.
Test
Assignment
Class Work
Additional Practice on Chapter
5.
Worksheet.
Section 6.1-6.2
Day 71
12/5/2013
Objectives:
Review basic properties of a
circle and circle vocabulary.
Discover properties of a
tangent of a circle.
Learn more vocabulary.
Circle
Assignment
Class Work
• Go over the warm up.
• Complete the vocabulary of
section 6.1-6.2.
• Write one example for each
conjecture.
Homework
Learn the conjectures.
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
An 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………..
. 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.
Section 6.1-6.2
Day 72
12/6/2013
Objectives:
Review basic properties of a
circle and circle vocabulary.
Discover properties of a
tangent of a circle.
Learn more vocabulary.
Circle
Assignment
Class Work
• Complete the vocabulary of
section 6.1-6.2.
• Write one example for each
conjecture.
Class work/Homework
Worksheet
Sections 6.3
Day 73
12/9/2013
Objectives:
• Discover the relationship
between the inscribed angle
of a circle and its
intercepted arc.
Arcs and Angles
Assignment
Class Work
• Go over the warm up
• Go over questions from the
homework.
• Sections 6.1-6.2 Worksheet
due Today.
• Complete the conjectures
and write examples.
Homework
Page 327 # 1-6all, 10, 11 and 13.
Warm-up
• 1.
Conjectures
Section 6.3
. 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.
Section 6.5
Day 74
12/10/2013
Objectives:
• Calculate π, the ratio of the
circumference of a circle to
its diameter
Assignment
Class Work
Go over the warm-up.
Go over the homework.
Go over the conjectures of
section 6.5.
Homework
Page 337 # 1-10 all 12,and 15 .
Warm-up
Sections 6.3
Day 75
12/11/2013
Objectives:
• Discover the relationship
between the inscribed angle
of a circle and its
intercepted arc.
Arcs and Angles
Assignment
Class Work
• Go over the warm up
• Go over questions from the
homework.
Class Work / Homework
Worksheet
Quiz tomorrow Sec 6.1-6.3
Warm-up
Sections 6.1-6.5 Quiz
Day 76
12/12/2013
Objective:
Review basic properties of a
circle and circle vocabulary.
Discover properties of a
tangent of a circle.
Learn more vocabulary.
• Discover the relationship
between the inscribed angle
of a circle and its
intercepted arc.
Assignment
Class Work
• Quiz
Chapter 6 Review
Day 77
12/13/2013
Objective:
Review basic properties of a
circle and circle vocabulary.
Discover properties of a
tangent of a circle.
Learn more vocabulary.
• Discover the relationship
between the inscribed angle
of a circle and its
intercepted arc.
Assignment
Class Work
• Worksheet
Section 6.6
Day 78
Around the World
12/16/2013
Objectives:
• Calculate π, the ratio of the
circumference of a circle to
its diameter.
• Use the circumference
formula to solve word
problems.
Assignment
Class Work
Go over the warm-up
Go over the Friday’s
worksheet.
Go over section 6.5-6.6
Worksheet.
Work with problems page 342
# 1, 4, 5.
Warm-up
Section 6.7
Day 79
12/17/2013
Objectives:
Discover the Arc Length
formula.
Apply the Arc Length formula.
Arc Length
Assignment
Class Work
• Go over the warm up.
• Go over the examples and
arc length conjecture.
• The homework is due
tomorrow .
Homework
• Page 351 # 1-9 all
Warm-up
Chapter 6 Review
Day 80
12/18/2013
Objective:
Review basic properties of a
circle and circle vocabulary.
Discover properties of a
tangent of a circle.
Learn more vocabulary.
• Discover the relationship
between the inscribed angle
of a circle and its
intercepted arc.
Assignment
Class Work
Go over the homework
• Worksheet
• Page 359 # 5-7all,9,1115all.. 25.
• Extra credit # 57.
Chapter 6 Test
Day 81
12/19/2013
Objective:
Review basic properties of a
circle and circle vocabulary.
Discover properties of a
tangent of a circle.
Learn more vocabulary.
• Discover the relationship
between the inscribed angle
of a circle and its
intercepted arc.
Assignment
Class Work
Chapter 6 Test
Chapter 6 Review
Day 82
12/20/2013
Objective:
Review basic properties of a
circle and circle vocabulary.
Discover properties of a
tangent of a circle.
Learn more vocabulary.
• Discover the relationship
between the inscribed angle
of a circle and its
intercepted arc.
Assignment
Class Work
Go over the chapter 6 test.
Section 8.1
Area of Rectangles
and Parallelograms
Day 83
1/6/2014
Objectives:
Develop the concept of the
area.
Derive formulas for the area of
the rectangle and
parallelogram
Assignment
Class Work
• Go over the warm-up
• Go over area of the
rectangle and parallelogram
investigations.
Homework
Page 425 # 1-9 all, 17 and 23.
Section 8.2
Areas of Triangles,
Trapezoids, and Kites
Day 84
1/7/2014
Objectives:
• Derive formulas for the area
of a triangle, trapezoid, and
Kite.
• Apply area formulas t solve
problems.
Assignment
Class Work
Go over the warm-up.
Derive the formulas for the are
of triangle, trapezoid, and
Kite. Write the conjectures
and give examples.
Homework
Page 430 # 1-11 all.
Warm-up
Section 8.3
Day 85
1/8/2014
Objectives:
• Use the area of the
rectangle, parallelogram,
trapezoid, and kite formulas
to solve word problems.
Area Problems
Assignment
Class Work
• Go over the warm-up
• Work on problems page 435
# 1, 2, 4,5.
Class Work/ Homework
Worksheet
Quiz Tomorrow !!
Warm –up
Sections 8.1-8.3 QUIZ
Day 86
1/9/2013
Objectives:
Develop the concept of the area.
Derive formulas for the area of
the rectangle and
parallelogram
• Derive formulas for the area of
a triangle, trapezoid, and Kite.
• Apply area formulas t solve
problems.
Assignment
Class Work
Go over the homework
questions
Quiz on sections 8.1-8.3
Section 8.4
Area of a
Regular Polygon
Day 87
1/10/2013
Objectives:
• Derive the area of a regular
polygon formula.
• Use the area of a regular
polygon formula to solve
problems.
Assignment
Class Work
Go over the warm-up
Go over the homework
Write the conjectures of
section 8.4.
Homework
Page 443 1-7 all , 13, and 14.