Download ROCKY FORD CURRICULUM GUIDE SUBJECT: Geometry GRADE

ROCKY FORD CURRICULUM GUIDE
SUBJECT: Geometry
GRADE: High School
Grade Level
Expectation
Evidence Outcome
Student-Friendly
Learning Objective
2. Concepts of similarity
are foundational to
geometry and its
applications
a. Prove theorems involving
similarity.
i. Prove theorems about
triangles. C
We will prove theorems
about triangles.
ii.
Prove that all circles are
similar. C
iii. Use congruence and
similarity criteria for
triangles to solve problems
and to prove relationships
in geometric figures. C
2. Concepts of similarity
are foundational to
geometry and its
applications
b. Understand and apply theorems
about circles.
i. Identify and describe
relationships among
inscribed angles, radii, and
chords. I
ii. Construct the inscribed and
circumscribed circles of a
triangle. I
iii. Prove properties of angles
for a quadrilateral inscribed
in a circle. I
2. Concepts of similarity
are foundational to
geometry and its
applications
c.
Find arc lengths and areas of
sectors of circles.
i. Derive using similarity the
fact that the length of the
arc intercepted by an angle
is proportional to the radius,
© Learning Keys, 800.927.0478, www.learningkeys.org
Level of
Thinking
TIMELINE: 3rd Quarter
Resource Correlation
Academic
Vocabulary
Ratios
Evaluation
We will prove that all circles
are similar.
We will use congruence and
similarity criteria for
triangles to solve problems
and to prove relationships in
geometric figures.
Evaluation
Evaluation
Holt McDougal
Geometry
Teacher’s Edition pg 231
KUTA Geometry
Software
Radii
Chords
Inscribed angles
Appl
We will identify and describe
relationships among
inscribed angles, radii, and
chords.
We will construct the
inscribed and circumscribed
circles of a triangle.
Appl
We will prove properties of
angles for a quadrilateral
inscribed in a circle
Evaluation
We will derive, the fact that
the length of the arc
intercepted by an angle is
proportional to the radius,
and define the radian
Synth
Holt McDougal Geometry
Teacher’s Edition pg 734
Arcs
Sectors
Page 1
ROCKY FORD CURRICULUM GUIDE
SUBJECT: Geometry
Grade Level
Expectation
GRADE: High School
Evidence Outcome
and define the radian
measure of the angle as the
constant of proportionality. I
ii.
2. Concepts of similarity
are foundational to
geometry and its
applications
Derive the formula for the
area of a sector. I
d. Understand similarity in terms of
similarity transformations.
i. Verify experimentally the
properties of dilations given
by a center and a scale
factor.
1. Show that a dilation
takes a line not passing
through the center of
the dilation to a parallel
line, and leaves a line
passing through the
center unchanged. C
2.
ii.
Show that the dilation of
a line segment is longer
or shorter in the ratio
given by the scale
factor. C
Given two figures, use the
definition of similarity in
terms of similarity
transformations to decide if
they are similar. C
iii. Explain using similarity
transformations the
meaning of similarity for
triangles as the equality of
all corresponding pairs of
© Learning Keys, 800.927.0478, www.learningkeys.org
Student-Friendly
Learning Objective
Level of
Thinking
measure of the angle as the
constant of proportionality
We will derive the formula
for the area of a sector.
TIMELINE: 3rd Quarter
Resource Correlation
Academic
Vocabulary
KUTA Geometry software
Synth
Scale factor
We will verify experimentally
the properties of dilations
given by a center and a
scale factor.
We will show that a dilation
takes a line not passing
through the center of the
dilation to a parallel line,
and leaves a line passing
through the center
unchanged.
We will demonstrate that the
dilation of a line segment is
longer or shorter in the ratio
given by the scale factor.
We will describe why two
figures are similar in terms
of similarity transformations
to decide if they are similar.
Appl
Holt McDougal
Geometry
Teacher’s Edition pg 495
Appl
Appl
Appl
Holt McDougal
Geometry
Teacher’s Edition pg
462-483
Similarity
Similarity
transformation
Page 2
ROCKY FORD CURRICULUM GUIDE
SUBJECT: Geometry
Grade Level
Expectation
GRADE: High School
Evidence Outcome
angles and the
proportionality of all
corresponding pairs of
sides. C
iv.
Use the properties of
similarity transformations to
establish the AA criterion
for two triangles to be
similar. C
Student-Friendly
Learning Objective
We will explain the meaning
of similarity for triangles as
the equality of all
corresponding pairs of
angles and the
proportionality of all
corresponding pairs of
sides.
We will use the properties of
similarity transformations to
prove the AA criterion for
two triangles to be similar.
© Learning Keys, 800.927.0478, www.learningkeys.org
Level of
Thinking
Appl
TIMELINE: 3rd Quarter
Resource Correlation
Academic
Vocabulary
KUTA Geometry
software
Proportionality
Corresponding parts
Angle-Angle
similarity
Appl
Page 3