Window Rock Unified School District #8
CURRICULUM GUIDE
SUBJ
ECT: Geometry
GRADE: 10th
TIMELINE: 2
nd
Quarter
Strand/Concept
Performance Objective
–
Mastery Level Explanation
Kid
Friendly
Learning Objective
Level of Thinking
Resource Correlation
Academic
Vocabulary
1
Strand 3:
Patterns,
Algebra, and
Functions
Concept 4:
Analysis of
Change
P2
.
Solve problems
involving rate of change.
I,
M
I will use constant rate of
change to solve
problems.
Synthesis
Slope
Constant rate of
change
Strand 4:
Geometry and
Measurement
Concept 1:
Geometric
Properties
PO 1. Use the basic
properties of a circle
(relationships between
angles, radii, intercepted
arcs, chords, tangents,
and secants) to prove
basic theorems and
solve problems.
I, M
I will use circle properties
to solve prob
lems and
prove basic theorems.
Synthesis
Intercepted arcs
Chords
Tangents
secants
Strand 4:
Geometry and
Measurement
Concept 1:
Geometric
Properties
PO 3. Create and
analyze inductive and
deductive arguments
concerning geometric
ideas and relationships
.
I, M
I will create and analyze
arguments dealing with
geometric ideas and
relationships.
Analysis
Theorems
Induction
Deduction
Counterexample
Strand 4:
Geometry and
Measurement
Concept 1
:
PO 4. Apply properties,
theorems, and
c
onstructions about
parallel lines,
perpendicular lines, and
angles to prove
I will apply properties and
theorems about parallel
lines, and perpendicular
lines.
Synthesis
Transversal
Vertical angles
Complementary
angles
Supplementary
angles
Window Rock Unified School District #8
CURRICULUM GUIDE
SUBJ
ECT: Geometry
GRADE: 10th
TIMELINE: 2
nd
Quarter
Strand/Concept
Performance Objective
–
Mastery Level Explanation
Kid
Friendly
Learning Objective
Level of Thinking
Resource Correlation
Academic
Vocabulary
2
Geometric
Properties
theorems.
I,
M
Corresponding
angles
Interior angles
Exterior angles
Reflexive
CPCTC
Strand 4:
Geometry and
Measurement
Concept 1:
Geometric
Properties
PO 5. Explore Euclid’s
five postulates in the
plane and their
limitations.
I, M
I will investigate Euclid’s
five p
ostulates in plane
geometry.
Comprehension
Postulates
Euclid
Plane geometry
Strand 4:
Geometry and
Measurement
Concept 1
:
Geometric
Properties
PO 7. Use the hierarchy
of quadrilaterals in
deductive reasoning
.
C,
M
I will use facts about the
hierarchy
of
quadrilaterals to form an
opinion.
Synthesis
Hierarchy
D
eductive
Reasoning
Strand 4:
Geometry and
Measurement
Concept 1:
Geometric
Properties
PO 8. Prove similarity
and congruence of
triangles. I, M
I will prove congruence
of triangle using SSS,
SAS, AAS, ASA and HL.
I will prove similarities by
proportions and SSS,
SAS, and AA.
Synthesis
Evaluation
S
ide

Angle

Side
S
ide

Side

Side
A
ngle

Angle

Side
A
ngle

Side

Angle
H
ypotenuse
L
eg
A
ngle

Angle
Congruence
Window Rock Unified School District #8
CURRICULUM GUIDE
SUBJ
ECT: Geometry
GRADE: 10th
TIMELINE: 2
nd
Quarter
Strand/Concept
Performance Objective
–
Mastery Level Explanation
Kid
Friendly
Learning Objective
Level of Thinking
Resource Correlation
Academic
Vocabulary
3
Similarity
Proportions
Strand 4:
Geometry
and
Measurement
Concept 1:
Geometric
Properties
PO 10. Solve problems
using right triangles,
including special
triangles.
I, M
I will use 45

45

90 and
30

60

90 triangles to find
missing side
s.
Analysis
Application
Right triangle
Special triangle
Stra
nd 4:
Geometry and
Measurement
Concept 1:
Geometric
Properties
PO 11. Solve problems
using the sine, cosine,
and tangent ratios of
the acute angles of a
right triangle. I, M
I will use sine, cosine or
tangent ratios to find
missing values.
Comprehensio
n
Application
Sine
Cosine
Tangent
Trigonometric
ratios
Adjacent
Opposite
H
ypotenuse
Strand 4:
Geometry and
Measurement
Concept 4:
Measurement
PO 3. Determine the
effect that changing
dimensions has on the
perimeter, area, or
volume of a figure.
I, M
I will compare the effects
on a figure when
dimensions are changed.
Analysis
Synthesis
Dimensions
Dilation
Strand 4:
Geometry and
Measurement
PO 5. Calculate the
surface area and volume
of 3

dimensional figures
and
solve for mis
sing
I will find missing
measures of a 3

D figure
and use it to calculate
surface areas and
volumes.
Analysis
Pythagorean
T
heorem
Slant height
H
eight
Window Rock Unified School District #8
CURRICULUM GUIDE
SUBJ
ECT: Geometry
GRADE: 10th
TIMELINE: 2
nd
Quarter
Strand/Concept
Performance Objective
–
Mastery Level Explanation
Kid
Friendly
Learning Objective
Level of Thinking
Resource Correlation
Academic
Vocabulary
4
Concept 4:
Measurement
measures
.
I, M
Strand 5:
Structure and
Logic
Concept 2: Logic,
Reasoning,
Problem Solving,
and Pro
of
PO 5. Summarize and
communicate
mathematical ideas using
formal and informal
reasoning.
I, M
I will summarize ideas
using rea
s
oning.
Synthesis
Deduction
Induction
Strand 5:
Structure and
Logic
Concept 2: Logic,
Reasoning,
Problem Solving,
and Proo
f
PO 12. Construct a
simple formal deductive
proof
.
I,
M
I will construct formal
deductive proof.
Synthesis
Construct
Deductive proof
Two column
One column
Flowchart
Paragraph proof
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