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Transcript
Plymouth Regional High School
Basic Geometry
Teacher: MASTER MAP *****
Month
September
2012
Essential
Questions/Competencies
Content
What are the essential prerequisite skills necessary for
success in Basic Geometry?
A. Introduction to course
expectations
What are the Geometry topics
that can be found in daily
living?
B. Literacy and Resource
Location
Skills/Proficiencies
Assessment
Materials/Resources/Technology
A.Identify classroom
procedures, practices,
expectations, and daily
agenda
B. Identify, explore, and
utilize available resources
B. TEXTQuest Handout
2A.HWK worksheets
2A. Quiz
2A. Patterns
2A. Recognize and describe
patterns
2A.Solve nth term
1A. Points, Lines, and
Planes
1. Identify the relationships
that exists between lines,
points, and planes.
2. Demonstrate an
understanding of the language
and logic of Geometry.
1B. Distance Between 2
Points
1C. Midpoints of
Segments
patterning
1A. Compare points, lines,
and planes
1A. Sketch the intersections
of lines and planes
1A. Understand and use the
basic undefined terms,
defined terms, symbols and
notation of geometry.
1A. Sketches of points,
lines, segments, and
planes and their
intersections
1A. p. 13 (9-27)
p. 21 (19-30)
1B. Distance worksheet
p.29 (9-12,17-22)
p. 30 (35-38)
1C. Wksht on segment
bisectors
1B. Apply the distance
formula to measure
distances
1B. Use Segment Addition
to determine the length of a
1-2 Chapter test
segment
1C. Construct Segment
Midpoint
1C. Use the Midpoint
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Basic Geometry
*****
Month
Essential
Questions/Competencies
Content
Plymouth Regional High School
Skills/Proficiencies
Assessment
Materials/Resources/Technology
Formula to locate the
October
2012
2. Identify the relationships
that exist between lines.
2B. Angles
2C. Angles formed by
transversals
midpoint of a segment
2B. Classify angles as
acute, right, obtuse, or
straight
2B. Construct and Bisect an
angle using a straightedge
and a compass
2B. Measure angles with a
protractor
2B. Solve Angle Addition
problems
2B. Determine angle
measures and the value of a
variable given vertical,
linear pair, supplementary,
and complementary angles
2C. Identify angles formed
by transversals
2C. Use the properties of
corresponding, alternate
interior, alternate exterior,
and consecutive interior
angles to determine missing
angle measures
2C. Determine if lines are
parallel by
applying the properties
of corresponding, alternate
interior, alternate exterior,
and consecutive interior
angles
2C. Apply the properties of
lines in real-life situations
November
3. Students will be able to
2D. Parallel and
2D. Calculate the slopes of
2B Homework p. 39 (3749)
p. 47-48 (8-32)
evens
Joke wksht on
Supplementary
2B Quick Quizzes
2B Chapter 3 Part 1
test
2C Homework: 2 sided
wksht
146-7 (816,18-20)
wksht 3.4A
Chapter A
test wksht
2C Quick Quizzes
2D Homework
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Basic Geometry
*****
Month
2012
Essential
Questions/Competencies
analyze congruent figures and
their corresponding parts.
Content
Perpendicular Lines on
the Coordinate Plane
3A. Classify
Triangles
Plymouth Regional High School
Skills/Proficiencies
Assessment
lines to identify parallel and
perpendicular lines in a
coordinate plane
2D. Formulate the equation
of parallel and
perpendicular lines
2D. Graph lines based on
the equation, points, slope,
and/or y-intercept
Linear Equation Wksht
169-70(28-44)
evens
175-6 (7-20)
evens (25-28,38-41)
182 (17-24)
3A. Classify triangles by
their sides and angles
3A. Find angles measures
in triangles
Materials/Resources/Technology
2C-D Chapter 3 Part 2
test
3A Homework p.198 (1021)
Wksht on
sum of angles
and exterior
angles.
p. 198 (2228)
4.2 Practice
A wksht
3A Quick Quizzes
3B. Triangle
December
2012
January
2013
Congruence
4. Students will construct
points of concurrency in
triangles.
4A. Constructions in a
triangle
3B. Identify congruent
figures and corresponding
parts
3B. Prove that triangles are
congruent using various
Congruence Postulates and
Theorems (SSS, SAS, ASA,
AAS)
3B. Use congruence of
triangles in real-life
problems.
3B Quick Quizzes
3B Chapter 4 Test
4A. Recognize and apply
definitions of all of the
medians, altitudes and angle
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Basic Geometry
*****
Month
Essential
Questions/Competencies
Content
February
2013
5. Students will understand,
identify and classify special
quadrilaterals.
5A. Quadrilaterals
March
2013
6. Students will apply properties
of translations to images.
6A. Transformations
April 2013
7. Students will work with
similar polygons and solve real
world problems.
7A. Similarity
7B. Proportion
7C. Applications to real
life
May 2013
8. Students will solve right
triangles.
8A. Right Triangle
Trigonometry
Plymouth Regional High School
Skills/Proficiencies
bisectors in a triangle.
4A. Inductively reasoning
that these all meet at a point
of concurrency.
4A. Recognizing and
applying theorems that
relate to the points of
concurrency
4A. Constructing these
points of concurrency in
Geometer's Sketchpad.
5A. Recognizing and
naming polygons
5A. Define quadrilaterals
and their properties
5A. Create heirarchy of
quadrilaterals
5A. Construct all
quadrilaterals using
geometer's sketchpad.
6A. Recognize and identify
3 types of isometric
transformations: reflections,
rotations and translations.
6A. Write a report showing
examples, defining and
explaining differnences
between these
transformations.
7A. Solve problems
involving ratios
7B. Solve problems
involving proportions
7B. Identify similar
polygons
7B. Use scale factors in
conjuction with dilations.
8A. Geometric means in
right triangles
8A. Pythagorean Theorem
Assessment
Materials/Resources/Technology
5A. Heirarchy of Quadrilaterals
5A. Pairs practice worksheet with word
bank; Properties of Quads
review/summary
7A-B. Homework
7A-B. Quick Quizzes
7A-B. Chapter Test
8A-B. Homework
8A-B. Quick Quizzes
8A-B. Chapter Test
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Basic Geometry
*****
Month
June 2013
Essential
Questions/Competencies
9. Students will solving volume,
area, and perimeter problems
for rectangles, triangles and
circles.
Content
9A. Area of polygons
9B. Surface area
Plymouth Regional High School
Skills/Proficiencies
8A. Right triangle
trigonometry
9A. Area of quadrilaterals
9A. Area of polygons
9A. Area of combination
shapes
9A. Perimeter,
Circumference and
similarity
9B. Applying formulas for
surface area of Pyramids
9B. Applying formulas for
surface area of Prisms
Assessment
Materials/Resources/Technology
9A-B. Homework
9A-B. Quick Quizzes
9A-B. Chapter Test
1-9. Final Exam
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