Download ROCKY FORD CURRICULUM GUIDE SUBJECT: Geometry GRADE

ROCKY FORD CURRICULUM GUIDE
SUBJECT: Geometry
GRADE: High School
Grade Level
Expectation
Evidence Outcome
1. Objects in the plane
can be transformed, and
those transformations
can be described and
analyzed mathematically
a. Understand congruence in
terms of rigid motions.
i. Use geometric descriptions
of rigid motions to transform
figures and to predict the
effect of a given rigid
motion on a given figure. C
ii.
1. Objects in the plane
can be transformed, and
those transformations
can be described and
analyzed mathematically
Given two figures, use the
definition of congruence in
terms of rigid motions to
decide if they are
congruent. C
Student-Friendly
Learning Objective
Level of
Thinking
Appl
Appl
iv.
We will explain how the
criteria for triangle
congruence (ASA, SAS, and
SSS) follow from the
definition of congruence in
terms of rigid motions
Appl
We will prove theorems
about lines and angles.
Appl
Prove theorems about
triangles. I
We will prove theorems
about triangles.
Appl
iii. Prove theorems about
We will prove theorems
Appl
© Learning Keys, 800.927.0478, www.learningkeys.org
KUTA Geometry
Software
We will use the definition of
congruence in terms of rigid
motions to decide if two
figures are congruent.
Appl
ii.
Academic
Vocabulary
Rigid motion
We will use the definition of
congruence in terms of rigid
motions to show that two
triangles are congruent if
and only if corresponding
pairs of sides and
corresponding pairs of
angles are congruent.
b. Prove geometric theorems.
i. Prove theorems about lines
and angles. I
Resource Correlation
Congruence
We will use geometric
descriptions of rigid motions
to transform figures and to
predict the effect of a given
rigid motion on a given
figure
iii. Use the definition of
congruence in terms of rigid
motions to show that two
triangles are congruent if
and only if corresponding
pairs of sides and
corresponding pairs of
angles are congruent. C
Explain how the criteria for
triangle congruence (ASA,
SAS, and SSS) follow from
the definition of congruence
in terms of rigid motions. C
TIMELINE: 2nd Quarter
KUTA Geometry
Software
Holt McDougal Geometry
Teacher’s Edition pg 462470
Corresponding parts
ASA
SAS
SSS
Holt McDougal Geometry
Teacher’s Edition pg 146220
Page 1
ROCKY FORD CURRICULUM GUIDE
SUBJECT: Geometry
Grade Level
Expectation
2. Concepts of similarity
are foundational to
geometry and its
applications
GRADE: High School
Evidence Outcome
Student-Friendly
Learning Objective
parallelograms. I
a. Define trigonometric ratios and
solve problems involving right
triangles.
i. Explain that by similarity,
side ratios in right triangles
are properties of the angles
in the triangle, leading to
definitions of trigonometric
ratios for acute angles. C
about parallelograms.
ii.
Explain and use the
relationship between the
sine and cosine of
complementary angles. C
iii. Use trigonometric ratios
and the Pythagorean
Theorem to solve right
triangles in applied
problems. C
1. Functions model
situations where one
quantity determines
another and can be
represented
algebraically,
graphically, and using
tables
f. Extend the domain of
trigonometric functions using
the unit circle.
i. Use radian measure of an angle
as the length of the arc on the
unit circle subtended by the
angle. C
ii. Explain how the unit circle in the
coordinate plane enables the
extension of trigonometric
functions to all real numbers,
interpreted as radian measures
of angles traversed
counterclockwise around the
© Learning Keys, 800.927.0478, www.learningkeys.org
Level of
Thinking
TIMELINE: 2nd Quarter
Resource Correlation
Academic
Vocabulary
Trigonometric ratios
We will explain that by
similarity, side ratios in right
triangles are properties of
the angles in the triangle,
leading to definitions of
trigonometric ratios for
acute angles.
Appl
Holt McDougal Geometry
Teacher’s Edition pg 524583
Sine
Cosine
Tangent
KUTA Geometric software
Appl
We will explain and use the
relationship between the
sine and cosine of
complementary angles
Appl
Holt McDougal Geometry
Teacher’s Edition pg 43,
348-358, 540-541
We will use trigonometric
ratios and the Pythagorean
Theorem to solve right
triangles in applied
problems.
We will extend the domain
of trigonometric functions
using the unit circle.
We will explain how the unit
circle in the coordinate
plane enables the extension
of trigonometric functions to
all real numbers, interpreted
as radian measures of
angles traversed
counterclockwise around
the unit circle.
Pythagorean
theorem
Holt McDougal Geometry
Teacher’s Edition pg 570
Unit circle
Radian
Appl
Comp
KUTA Geometry
Software
Page 2
ROCKY FORD CURRICULUM GUIDE
SUBJECT: Geometry
Grade Level
Expectation
2. Concepts of similarity
are foundational to
geometry and its
applications
GRADE: High School
Evidence Outcome
unit circle. C
b. Prove and apply trigonometric
identities.
i. Prove the Pythagorean
identity sin2(θ) + cos2(θ) =
1. ?
ii.
Use the Pythagorean
identity to find sin(θ),
cos(θ), or tan(θ) given
sin(θ), cos(θ), or tan(θ) and
the quadrant of the angle. C
© Learning Keys, 800.927.0478, www.learningkeys.org
Student-Friendly
Learning Objective
Level of
Thinking
We will prove the
Pythagorean identity sin2(θ)
+ cos2(θ) = 1.
Evaluate
TIMELINE: 2nd Quarter
Resource Correlation
Academic
Vocabulary
Trigonometric
identities
Apply
We will use the
Pythagorean identity to find
sin(θ), cos(θ), or tan(θ)
given sin(θ), cos(θ), or
tan(θ) and the quadrant of
the angle
Page 3