Geometry Curriculum Map

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Norman High School
PL GEOMETRY
Teacher: Debra Baum
Month
August
2010
Content and Essential
Questions
Chapter 0/Preparing for
Geometry
A. Algebraic Expressions
B. Linear Equations and
Inequalities
Skills
Strategies
Chapter 0/Preparing for
Geometry
A. Review Algebraic
Expressions
Chapter 0/Preparing for
Geometry
1.1
1.2
B. Review Linear Equations
and Inequalities
2.3a
Assessment
Resources
Chapter 0/Preparing for
Geometry
3 days (August 20 - August
23)
Homework from textbook or
worksheets
Chapter 0/Preparing for
Geometry
Glencoe McGraw-Hill:
Geometry
Chapter 0: Textbook and
Resource Books
Chapter 1/Tools of
Geometry
10 days (August 24 - Sept 8)
Homework from textbook or
worksheets
Quizzes
Tests
Chapter 1/Tools of
Geometry
Glencoe McGraw-Hill:
Geometry
Chapter 1: Textbook and
Resource Books
Chapter 2/Reasoning and
Proof
Chapter 2/Reasoning and
Proof
C. Ordered Pairs
C. Review Ordered Pairs
Sections 4-7 only
Chapter 1/Tools of Geometry
A. Points, Lines and Planes
B. Segments and Angles
Relationships
Chapter 1/Tools of
Geometry
A. Reinforce properties of
points lines and planes.
C. Introduction to
Perimeter/Circumference and
Area
B. Identify different
properties and vocabulary of
segments and angles.
Omit Section 7
C. Evaluate the perimeter,
circumference and area of
basic 2-dimensional figures.
- Essential Question, The Earth
has a radius of 3960 miles at
the equator. Suppose you
could wrap a cable around the
Earth to form a circle. What
would happen to the
circumference if you added 6
feet to your cable?
September
2010
Chapter 2/Reasoning and
Proof
Chapter 1/Tools of Geometry
1.1
5.1
2.2c
2.3d
Instructional Strategies:
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Chapter 2/Reasoning and
Proof
Math Translations
Lecture
Daily Warm-Ups
Corporative Learning
Note Taking Guides
Individual Dry Erase
Boards
Partner Work/Pair
Share
Constructions
Songs/Dances
Chapter 2/Reasoning and
Proof
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PL GEOMETRY
Rentzel
Month
Content and Essential
Questions
Skills
A. Patterns and Inductive
Reasoning
A. Evaluate patterns and
inductive reasoning
B. Logic
B. Determine truth values and
find counterexamples.
C. Conditional and
Biconditional Statements
C. Distinguish types of
Conditional Statements
D. Deductive Reasoning
C. Proving Statements
- Essential Question, Logic
Puzzle, page 86 in McDougal
Littell Geometry Textbook.
Norman High School
D. Use deductive reasoning to
solve problems
C. Prove statements about
algebra and geometry using
two column proofs
Strategies
1.1
1.2
2.2c
(12 days) Sept 9 - Sept 24
Homework from textbook or
worksheets
Instructional Strategies:
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Chapter 3/Parallel and
Perpendicular Lines
A. Parallel and Perpendicular
Lines
- Essential Question,
Escalators, page 133 #32-36 in
McDougal Littell Geometry
Textbook
- Essential Question,
Light/Glass, page 163, #42 in
McDougal Littell Geometry
Textbook
Chapter 3/Parallel and
Perpendicular Lines
A. Compare and Contrast
Parallel and Perpendicular
Lines
Assessment

Math Translations
Lecture
Daily Warm-Ups
Corporative Learning
Note Taking Guides
Individual Dry Erase
Boards
Partner Work/Pair
Share
Journal
Writting/Focused Free
Write
Online Videos and
Manipulatives
Chapter 3/Parallel and
Perpendicular Lines
2.2a
2.2b
5.1
Instructional Strategies:
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If-Then Story Project
Quizzes
Resources
Glencoe McGraw-Hill:
Geometry
Chapter 2: Textbook and
Resource Books
Logic Puzzles (magazines,
etc...)
Tests
Chapter 3/Parallel and
Perpendicular Lines
(12 days) Sept 27 - Oct 12
Homework from textbook or
worksheets
Quizzes
Chapter 3/Parallel and
Perpendicular Lines
Glencoe McGraw-Hill:
Geometry
Chapter 3: Textbook and
Resource Books
Tests
Lecture
Daily Warm-Ups
Corporative Learning
Note Taking Guides
Individual Dry Erase
Boards
Partner Work/Pair
Share
Songs/Dances
www.curriculummapper.com
2 of 10
PL GEOMETRY
Rentzel
Month
Content and Essential
Questions
Norman High School
Skills
Strategies
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October
2010
Chapter 4/Congruent
Triangles
A. Triangles and Angles
B. Proving Triangles are
Congruent
C. Types of Triangles
Chapter 4/Congruent
Triangles
A. Determine what
characteristics a triangle must
have.
B. Use SSS, SAS, ASA,
AAS, HL to prove two
triangles are congruent.
Sections 1-6 only
- Essential Question, Explain
the five methods to prove
triangles are congruent.
C. Identify the different types
of triangles. I.e. Right,
Isosceles, Equilateral, Obtuse,
Acute and Scalene.
Assessment
Resources
Journal
Writing/Focused Free
Write
Anticipation Guides
Writing Prompt - First Nine
Weeks
Use Diagram on Page 122 #2
Given the diagram, justify why
each statement is true or false.
1.) <GHE is adjacent to
<CHD.
2.) BF is perpendicular to AH.
3.) <BGH and <BA are
complementary.
4.) <GHC is congruent to
<EHD.
Chapter 4/Congruent
Triangles
2.5a
5.1
Instructional Strategies:
 Lecture
 Daily Warm-Ups
 Corporative Learning
 Note Taking Guides
 Individual Dry Erase
Boards
 Partner Work/Pair
Share
 Constructions
 Journal
Writing/Focused Free
Write
 Online Videos and
Manipulatives
Chapter 4/Congruent
Triangles
(12 days) Oct 13 - Nov 2
Homework
Quizzes
Chapter 4/Congruent
Triangles
Glencoe McGraw-Hill:
Geometry
Chapter 4: Textbook and
Resource Books
Tests
Ready
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PL GEOMETRY
Rentzel
Month
Content and Essential
Questions
Norman High School
Skills
Strategies

November
2010
Chapter 6/Quadrilaterals
A. Polygons
B. Parallelograms
C. Other 2-dimensional, 4sided figures: Rhombuses,
Rectangles, Squares, Kites,
Trapeziods
-Essential Question, Area of
Roof Top, page 385, #20 in
McDougal Littell Geometry
Textbook
December
2010
Chapter 7/Proportions and
Similarity
A. Ratio and Proportion
Chapter 6/Quadrilaterals
A. Identify various polygons
based on their sides and
angles.
B. Identify properties of
parallelograms
C. Determine the type of 2dimensional figure based on
its properties.
Assessment
Resources
Anticipation Guides
Chapter 6/Quadrilaterals
1.1
1.2
2.3a
2.3b
2.3c
2.3d
4.1a
4.1b
5.2a
Chapter 6/Quadrilaterals
(14 days) Nov 3 - Nov 23
Homework
Quizzes
Chapter 6/Quadrilaterals
Glencoe McGraw-Hill:
Geometry
Chapter 6: Textbook and
Resource Books
Tests
Instructional Strategies:
 Lecture
 Daily Warm-Ups
 Corporative Learning
 Note Taking Guides
 Individual Dry Erase
Boards
 Partner Work/Pair
Share
 Constructions
 Songs/Dances
 Journal
Writing/Focused Free
Write
 Anticipation Guides
Chapter 7/Proportions and
Similarity
A. Evaluate problems using
Chapter 7/Proportions and
Similarity
1.1
Chapter 7/Proportions and
Similarity
(15 days) Nov 29 - Dec 17
Chapter 7/Proportions and
Similarity
Glencoe McGraw-Hill:
www.curriculummapper.com
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PL GEOMETRY
Rentzel
Month
Content and Essential
Questions
Skills
proportions.
B. Proving Similar
Polygons/Triangles
C. Proportions in Similar
Triangles
Omit Section 6
- Essential Question, Baseball,
page 463, #51-53 in McDougal
Littell Geometry Textbook
Norman High School
B. Use Similarity Postulates
to prove polygons and
triangles are similar.
C. Evaluate proportions when
given a triangle with a
missing length.
Complete a Project for the
First Semester of School
based off of one of the taught
chapters. (may varies amoung
teachers)
Strategies
1.2
2.1*
2.3d
2.4a
2.4b
2.5a
3.1
4.1b
Assessment
Homework
Quizzes
Tests
Resources
Geometry
Chapter 7: Textbook and
Resource Books
Project Worksheets
Project (to be determined)
To be done right before
winter break.
5.2b
Instructional Strategies:
 Math Translations
 Lecture
 Daily Warm-Ups
 Corporative Learning
 Note Taking Guides
 Individual Dry Erase
Boards
 Partner Work/Pair
Share
 Constructions
 Journal
Writing/Focused Free
Write
 Online Videos and
Manipulatives
Writing Prompt - Second Nine
Weeks
Explain why a parallelogram
with one right angle must be a
rectangle.
January
2011
First Semester Final Review
(Jan 3-8)
First Semester Final Exam (Jan
9-11)
Chapter 5/Relationships in
First Semester Final Review
First Semester Final Exam
Chapter 5/Relationships in
Triangles
A. Determine the correct
First Semester Final Exam
Chapter 5/Relationships in
Triangles
1.1
Chapter 5/Relationships in
Triangles
(8 days) Jan 18- Jan 27
Chapter 5/Relationships in
Triangles
Glencoe McGraw-Hill:
www.curriculummapper.com
5 of 10
PL GEOMETRY
Rentzel
Month
Content and Essential
Questions
Triangles
A. Inequalities in Triangles
Skills
measurements of the sides
and angles in various
triangles
B. Perpendicular and Angle
Bisectors of a Triangle
C. Medians and Altitudes
B. Sketch the perpendicular
and angle bisectors to find the
circumcenter and incenter.
D. Midsegment Theorem
Omit Section 4
Norman High School
Strategies
2.3b
5.2a
2.1*
2.2c
2.3d
3.2
5.1
Homeworks
Quizzes
D. Apply the midsegment
theorem to problems.
C. Trigonometric Ratios
Chapter 8/Right Triangles
and Trigonometry
A. Demonstrate the use of the
Pythagorean theorem.
B. Recognize the patterns of
special right triangles.
D. Solving Right Triangles
Sections 1-5 only, Begin with
Section 0-9
-Essential Question, Page 565
#55
Geometry
Chapter 5: Textbook and
Resource books
Tests
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B. Special Right Triangles
Resources
Instructional Strategies:
C. Sketch the median and
altitudes to find the centroid
and orthocenter.
- Essential Question, TBA
Chapter 8/Right Triangles
and Trigonometry
A. Pythagorean Theorem
Assessment
C. Apply the trigonometric
functions to right triangles.
Math Translations
Lecture
Daily Warm-Ups
Corporative Learning
Note Taking Guides
Partner Work/Pair
Share
Constructions
Online Videos and
Manipulatives
Chapter 8/Right Triangles
and Trigonometry
1.1
2.3d
2.4a
3.1
3.2
3.3
4.1b
5.2a
3.4
Chapter 8/Right Triangles
and Trigonometry
(13 days) Jan 28- Feb 15
Homework and Various
Homework Checks
Quizzes
Tests
Chapter 8/Right Triangles
and Trigonometry
Glencoe McGraw-Hill:
Geometry
Chapter 8: Textbook and
Resource books
Instructional Strategies:
D. Solve for the missing
measures of a right triangle
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Math Translations
Calculator Activities
Lecture
Daily Warm-Ups
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PL GEOMETRY
Rentzel
Month
Content and Essential
Questions
Norman High School
Skills
Strategies
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February
2011
Chapter 9/Transformations
and Symmetry
A. Transformations in a Plane
Sections 1-5 only, Begin with
Section 4-7, Add Section 8-7 to
Section 9-2
Chapter 9/Transformations
and Symmetry
A. Recognize rigid motion in
a plane.
Chapter 9/Transformations
and Symmetry
5.1
5.2b
B. Invest the differences in
reflections and rotations.
Instructional Strategies:
C. Use vector notation to
describe translations.
-Essential Question, Find three
real world examples of each
type of transformation, plus 1
picture that shows two.
March
2011
Chapter 10/Circles
AA. Basic Vocabulary to
Circles
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Chapter 10/Circles
AA. Demonstrate knowledge
of the various vocabulary
used in circles.
BB. Arcs and Chords
CC. Central Angles and
Inscribed Angles
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BB. Apply properties of arcs
and chords to general
problems.
Resources
Chapter 9/Transformations
and Symmetry
(9 days) Feb 16- March 2
Homework and Various
Homework Checks
Quizzes
Tests
Chapter 9/Transformations
and Symmetry
Glencoe McGraw-Hill:
Geometry
Chapter 9: Textbook and
Resource Books
Chapter 10/Circles
(13 days) March 3 - March 29
Homework and Various
Homework Checks
Quizzes
Tests
Chapter 10/Circles
Glencoe McGraw-Hill:
Geometry
Chapter 10: Textbook and
Resource Book
Corporative Learning
Note Taking Guides
Individual Dry Erase
Boards
Partner Work/Pair
Share
Online Videos and
Manipulatives
B. Reflection and Rotation
C. Translations and Vectors
Assessment
Math Translations
Lecture
Daily Warm-Ups
Corporative Learning
Note Taking Guides
Partner Work/Pair
Share
Constructions
Online Videos and
Manipulatives
Chapter 10/Circles
1.1
2.3c
2.6a
2.6b
3.1
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PL GEOMETRY
Rentzel
Month
Content and Essential
Questions
Norman High School
Skills
Strategies
Chapter 11/Areas of
Polygons and Circles
A. Determine the interior and
exterior angles of polygons.
Chapter 11/Areas of Polygons
and Circles
1.1
2.3b
2.3d
2.4b
2.5b
2.6a
Assessment
Resources
DD. Equations of Circles
Sections 1-6 only, omit section
7
- Essential Question, Page 633
#29
Chapter 11/Areas of
Polygons and Circles
A. Angle Measures in
Polygons
B. Area of Regular Polygons,
and circles
C. Area and Perimeter of
Similar Polygons
B. Evaluate the area of
regular polygons and circles.
C. Interpret the ratio of
similar polygons perimeter
and area.
-Essential Question, Chapter
11 Resource Book Page 65
Instructional Strategies:
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April 2011
Chapter 12/Extending
Surface Area and Volume
A. Solids, 3 -D
Chapter 12/Extending
Surface Area and Volume
A. Explain the similarities
Chapter 11/Areas of
Polygons and Circles
Glencoe McGraw-Hill:
Geometry
Chapter 11: Textbook and
Resource Book
4.1b
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Omit section 4
Chapter 11/Areas of
Polygons and Circles
(6 days) March 30 - April 6
Homework
Quizzes
Tests
Math Translations
Lecture
Daily Warm-Ups
Corporative Learning
Note Taking Guides
Partner Work/Pair
Share
Constructions
Journal
Writing/Focused Free
Write
Online Videos and
Manipulatives
Anticipation Guides
Chapter 12/Extending
Surface Area and Volume
2.3d
Chapter 12/Extending
Surface Area and Volume
(9 days) April 7 - April 20
Chapter 12/Extending
Surface Area and Volume
Glencoe McGraw-Hill:
www.curriculummapper.com
8 of 10
PL GEOMETRY
Rentzel
Month
Content and Essential
Questions
B. Surface Area of Solids
C. Volume of Solids
Skills
and differences between
various solids.
B. Determine the surface area
of various solids.
D. Similar Solids
Begin with Section 1-7
-Essential Question, Make and
icosahedron
EOI Testing at the end of
April
May 2011
Chapter 8
A. Law of Sines and Cosines
Chapter 11
A. Area of Regular Polygons
Norman High School
C. Determine the volume of
the various solids.
D. Identify the ratio of similar
solids surface area and
volume.
EOI Testing at the end of
April
Strategies
4.1a
4.1b
4.2a
4.2b
Homeworks
Quizzes
Resources
Geometry
Chapter 12: Textbook and
Resource Books
Tests
(Test after the EOI)
4.3
Instructional Strategies:
 Math Translations
 Calculator Activites
 Lecture
 Daily Warm-Ups
 Corporative Learning
 Note Taking Guides
 Individual Dry Erase
Boards
 Partner Work/Pair
Share
 Constructions
 Online Videos and
Manipulatives
EOI Testing at the end of
April
EOI Testing at the end of
April
EOI Testing at the end of
April
Glencoe McGraw-Hill:
Geometry
Chapter 8: Textbook and
Resource Books
Chapter 8
A. Using Law of Sines and
Cosines
Chapter 11
A. Finding the Area of
Regular Polygons
Introduction to Algebra 2
Introduction to Algebra 2
Introduction to Algebra 2
Second Semester Final Review
Assessment
Introduction to Algebra 2
(May 10 - May 14)
Ask Algebra 2 teachers what
they want their students to
have reviewed before taking
Algebra 2.
Glencoe McGraw-Hill:
Geometry
Chapter 11: Textbook and
Resource Books
Introduction to Algebra 2
Second Semester Final Review
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PL GEOMETRY
Rentzel
Month
Content and Essential
Questions
Skills
Second Semester Final Exam
Norman High School
Strategies
Second Semester Final Exam
Second Semester Final
Review
Second Semester Final Exam
Assessment
Resources
Second Semester Final
Review
Second Semester Final Exam
Second Semester Final
Review
Second Semester Final Exam
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