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Form 6.2: Course Outline with Assessment
Course Title: ____High School Geometry________________________________________________
Module Number and Name
1 Basics of Geometry
Objective
1Understand undefined and defined
geometric terms.
2Explain how postulates differ from
theorems, and apply four basic
postulates.
3Using a compass and straightedge,
construct angles, segments, and
bisectors of angles and segments.
Module Number and Name
2 Transformations and Congruence
4Using a compass and straitedge,
construct parallel and perpendicular
lines.
5Given an if..then statement, state the
converse, inverse, and contrapositive
statement, and determine the truth
value of each.
6
7
Objective
1Using graph paper and/or graphing
software Geogebra, plot translations,
reflections, and rotations according to
the rules of transformation.
2 State the reason why translations,
reflections, and rotations result in
Assessment Ideas
Quiz on
Make a drawing that demonstrates two
of the four basic postulates (ie If you
lines intersect, they do so at exactly one
point)
Four constructions using a compass and
straightedge, or using the online
compass tool, copied and pasted into a
document.
Four constructions (see above).
Write a logical (and true) if..then
statement, and its converse, inverse, and
contrapositive. State the truth value for
each.
Assessment Ideas
Construct a triangle on either graph
paper or Geogebra, and then do a
translation, reflection, and rotation. For
each, state the rules of transformation.
Using the above triangle plots, apply the
distance formula to find the lengths of
Form adapted from Smith, R. M. Conquering the Content. San Francisco: Jossey-Bass, 2008.
congruent figures.
3 Understand the difference between
congruence and equality.
4 Learn the Congruence Postulates: SideSide-Side (SSS), Side-Angle-Side (SAS)
and Angle-Side-Angle (ASA).
Module Number and Name
3 Congruence Proofs
Module Number and Name
5 Apply the Congruence Postulates to
problems involving congruent triangles
6 Given two congruent triangles, list all
of the corresponding parts.
7
Objective
1 State the difference between inductive
and deductive reasoning.
2 Compare and contrast two-column
proofs, flowcharts, and paragraph
proofs.
3 Learn and prove triangle congruence
theorems by writing two-column proofs.
4 Establish rules about parallel lines
intercepted by a transversal.
5 Apply the concept that Corresponding
Parts of Congruent Triangles are
Congruent (CPCTC) to prove that angles
and segments are congruent.
6
7
Objective
all corresponding sides.
Quiz
Given two triangles with one
corresponding side pair and one
corresponding angle pair congruent,
what side pair needs to be congruent by
SAS; by ASA.
Quiz: Problems that have sides or angles
that have variable measurements.
Quiz
Assessment Ideas
Quiz
Given a flowchart proof of a theorem,
write the two-column proof.
Write two-column proofs.
Construct parallel lines intercepted by a
tranversal with Geogebra. Use the
measuring tools to measure created
angles.
Write two-column proofs that prove two
triangles are congruent, then apply
CPCTC to prove two segments are
congruent.
Assessment Ideas
Form adapted from Smith, R. M. Conquering the Content. San Francisco: Jossey-Bass, 2008.
4 Similarity
1 Model Dilations
2 By using the rules of Similarity, write a
valid proportion to determine unknown
sides of similar triangles.
3 Take pictures that model similar
triangles at work in real life.
Module Number and Name
5 Coordinate Geometry
Module Number and Name
4 Apply Similarity Theorems to prove
that triangles are similar.
5
6
7
Objective
1 Given two ordered pairs, find the
distance, midpoint, and slope of the line
that connects them.
2 Write equations of lines in slopeintercept, point-slope, and standard
form.
3 Given ordered pairs for vertices of
polygons, calculate the perimeter and
area of the polygons.
4
5
6
7
Objective
Using graph paper or computer
software Geogebra, graph a dilation
according to a pre-determined rule.
Graph an enlargement and a reduction.
Quiz: Given two similar polygons,
determine the proportion rule, and
solve for all unknown sides.
Submit a photo that similar triangles in
use in construction, in nature, or in
art/design.
Quiz
Assessment Ideas
Two part assignment: a) calculate the
slope, distance and midpoint of a
segment with coordinate endpoints;
b) Use Geogebra features to find the
same things with a different segment.
Quiz: Given ordered pairs, write the
equation of lines in all linear forms.
Calculate the perimeter and area of
polygons, both regular and irregular.
Assessment Ideas
Form adapted from Smith, R. M. Conquering the Content. San Francisco: Jossey-Bass, 2008.
6 Right Triangles and Introductory
Trigonometry
Module Number and Name
7 Volumes and Surface Areas of Solids
1 Use the Pythagorean Theorem to
calculate unknown sides of right
triangles.
2 Save time by applying the side ratios of
“special” right triangles.
3 Memorize the three main trig. ratios,
using the Acronym SOH-CAH-TOA
4 Using a scientific calculator, apply the
trig. ratios to calculate lengths of
unknown sides of right triangles
5 Calculate the measure of unknown
angles in a right triangle by using the
correct inverse trig. function
6 Learn real-life applications of
trigonometric ratios.
7
Objective
1 Learn and apply the formulas of
volume of prisms, pyramids, cones, and
spheres.
2 Given the proper dimensions,
determine the volume of various solids.
3 Given the volume of a solid, determine
other unknown dimensions by altering
the formula.
4 Learn and apply the formulas of
surface areas of the solids.
Right Triangles worksheet
Special Right Triangles worksheet
Quiz
Quiz
Given right triangles, find both unknown
angles by using sin-1, cos-1, or tan-1.
Given the angle that a person on the
ground is looking up at an airplane and
the horizontal distance from the person
to the plane, calculate the altitude of the
airplane.
Assessment Ideas
Quiz: Matching formulas to the correct
solid.
Solve for volumes of solids by plugging
in the correct values into the formulas,
and calculating the correct answer,
approximated and in terms of π.
Solve for lengths of dimensions by
changing the formula, approximated
and in terms of π.
Solve for the surface areas of solids by
plugging in correct values into the
Form adapted from Smith, R. M. Conquering the Content. San Francisco: Jossey-Bass, 2008.
5 Apply the volumes and surface areas
formulas to solids that exist in real life.
Module Number and Name
8
6
7
Objective
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3
4
5
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formulas, and then calculating correctly.
Given the base dimensions and angle of
incline, calculate the height of one of the
Great Pyramids.
Assessment Ideas
Form adapted from Smith, R. M. Conquering the Content. San Francisco: Jossey-Bass, 2008.