# Window Rock Unified School District #8 CURRICULUM GUIDE SUBJECT: Geometry GRADE: 10th TIMELINE: 2 Quarter

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Oct 10, 2013 (4 years and 9 months ago)

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Window Rock Unified School District #8

CURRICULUM GUIDE

SUBJ
ECT: Geometry

TIMELINE: 2
nd

Quarter

Strand/Concept

Performance Objective

Mastery Level Explanation

Kid
Friendly

Learning Objective

Level of Thinking

Resource Correlation

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
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
parallel lines,
perpendicular lines, and
angles to prove

I will apply properties and
lines, and perpendicular
lines.

Synthesis

Transversal

Vertical angles

Complementary
angles

Supplementary
angles

Window Rock Unified School District #8

CURRICULUM GUIDE

SUBJ
ECT: Geometry

TIMELINE: 2
nd

Quarter

Strand/Concept

Performance Objective

Mastery Level Explanation

Kid
Friendly

Learning Objective

Level of Thinking

Resource Correlation

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
deductive reasoning
.

C,
M

I will use facts about the
hierarchy

of
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

TIMELINE: 2
nd

Quarter

Strand/Concept

Performance Objective

Mastery Level Explanation

Kid
Friendly

Learning Objective

Level of Thinking

Resource Correlation

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

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

TIMELINE: 2
nd

Quarter

Strand/Concept

Performance Objective

Mastery Level Explanation

Kid
Friendly

Learning Objective

Level of Thinking

Resource Correlation

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