Download Goal 1: The learner will perform operations with real numbers to

ISS Curriculum Guide
Geometry
Top
10
EC
3
ISS Student Friendly Learning
Target
(NCSCOS)
Priority
E, M, I,
N
Goal 1: The learner will perform
E
Knowledge Targets
Reasoning Targets
Performance/
Skill
Targets
-Identify parts, properties, and
-Evaluate varied word problems
-Use the
operations with real numbers to
theorems of right triangles
employing the use of angles of
trigonometric
solve problems.
-Understand trigonometric
elevation/depression and
ratios to
(30% of EOC)
ratios of sine, cosine, tangent,
trigonometric ratios
model and
arcsine, arccosine, arctangent
-Synthesize properties of special
solve
right triangles and trigonometric
problems
ratio
involving right
1.01 a) “I can write trig ratios.”
“I can use sine, cosine, tangent
-Vocabulary:

Right triangle
right triangles.”

Hypotenuse
“I can use inverses of sine

Leg
cosine and tangent to find

Opposite
missing angles of right

Adjacent
triangles.”

Altitude

45-45-90 triangle

30-60-90 triangle

Sine

Cosine

Tangent
to find missing side lengths of
M
“I can use right triangle trig in
word problems.”
1.01 a):
I
triangles
Use the trigonometric
ratios to model and solve
problems involving right triangles.
E
(HONORS ONLY)

Angles of elevation
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ISS Curriculum Guide
Geometry
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EC
ISS Student Friendly Learning
Target
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Priority
E, M, I,
N
1.01 b) “I can identify angles in
radians and degrees on the unit
circle.”
Knowledge Targets

Angles of depression

Unit Circle
Reasoning Targets
Performance/
Skill
Targets
N
“I can determine trig values for
angles on the unit circle.”
1.01 b):
Define values of
trigonometric relationships using
the unit circle.
for the angles
Find exact values

(radians,
degrees) that are multiples of

(
) and 
(
) and
6 30
4 45
 2    2
 360    360.
5
1.02 “I can find arc length and
area of a sector of a circle.”
“I can find area and perimeter
of various 2-D figures.”
“I can find lateral area, surface
area, and volume of 3-D figures,
including composite figures.”
“I can use area, surface area,
-Vocabulary:
M

Perimeter

Circumference

Surface area
-Evaluate various word problems
-Use length,
and coordinate plane figures
area, and
using vocabulary and formulas
volume of
-Carry through dimensions in
geometric

Apothem

Slant height
volume and area problems to
figures to
Height
supplement dimensional analysis
solve
Altitude
Composite
in chemistry.
problems.
-Cancel units out (inches to feet
Include arc




Arc
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ISS Curriculum Guide
Geometry
Top
10
EC
ISS Student Friendly Learning
Target
(NCSCOS)
Priority
E, M, I,
N
and volume in word problems.”
Knowledge Targets


“I can use similarity, area, and

volume ratios in problems.”
1.02 Use length, area, and

Sphere

solve problems. Include arc


volume of three-dimensional
figures; and perimeter, area, and
volume of composite figures.
E
length, area
supplement dimensional analysis
of sectors of
in chemistry.
circles; lateral
area, surface
Cube
area, and
Vertices
three-
volume of
Faces
Base
dimensional

3-D coordinates

Lateral Area
area, and
Great circle
composite





E
etc) when converting to
Edge

1.03 “I can find probability using
Performance/
Skill
Targets


4
Cylinder
Cone
volume of geometric figures to
lateral area, surface area, and
Pyramid


length, area of sectors of circles;
Prism
Reasoning Targets
figures; and
perimeter,
volume of
Apothem
Irregular
figures
Minor arc
Major arc
3-D coordinates
Truncated (cut off),

Oblique

Sector
-Vocabulary:
-Conduct varied investigations
-Use length,
length of a segment.”

Area
involving length, area, volume
area, and
“I can find probability using

Length
and probability
volume to
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ISS Curriculum Guide
Geometry
Top
10
EC
ISS Student Friendly Learning
Target
(NCSCOS)
Priority
E, M, I,
N
Knowledge Targets
Reasoning Targets

Volume
“I can find probability using

Probability
solve
volume of figures.”

Percent
problems

Complex Figures
involving
area of
figures”
-Analyze skill investigations
Performance/
Skill
Targets
1.03 Use length, area, and
model and
probability
volume to model and solve
problems involving probability.
9
Goal 2:
The learner will use
geometric and algebraic
-Vocabulary:
M
properties of figures to solve

Properties

Definitions
problems and write proofs. (50%
of EOC)
-Compare and contrast the truth
-Use logic
value of conditional statements
and deductive
reasoning to
draw

Conditional
conclusions

and solve
2.01 “I can write if-then
Converse

statements.”
Inverse

“I can write an inverse of an ‘if
Negation

Contrapositive
then’ statement.”
“I can write a converse of an ‘if
then’ statement.”
“I can write a contrapositive of an
‘if then’ statement.”
E

Biconditional

Logic

Theorems

Logically equivalent
problems
“I can use inductive and
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ISS Curriculum Guide
Geometry
Top
10
EC
ISS Student Friendly Learning
Target
(NCSCOS)
Priority
E, M, I,
N
Knowledge Targets
Reasoning Targets
Performance/
Skill
Targets
deductive reasoning to solve
problems.”
2.01 Use logic and deductive
reasoning to draw conclusions
and solve problems.
8
2.02 “I can use properties of
- Vocabulary:
- Apply

Parallel
of geometric proof involving lines
properties,
postulates, definitions, and

Perpendicular
and angles
definitions,
theorems to solve problems and

Adjacent angles
and theorems
write proofs.”

Vertical angles
of angles and

Linear pair
lines to solve
2.02 Apply properties, definitions,

Complementary
problems and
and theorems of angles and lines

write proofs
to solve problems and write
Supplementary

Midpoint
proofs.

Slope

Alternate interior

Corresponding

Same-side interior
algebra and geometry,
M
-Determine the logical sequence
E
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ISS Curriculum Guide
Geometry
Top
10
EC
ISS Student Friendly Learning
Target
(NCSCOS)
Priority
E, M, I,
N
Knowledge Targets

6
2.03a. “I can prove triangles are
congruent.”
“I can check to see if triangles
are congruent.”
Angle addition postulate

Segment bisector

Angle bisector

Perpendicular bisector

Skew

Collinear/ Coplanar

Theorem

Postulate
-Vocabulary
M


Performance/
Skill
Targets
Transversal


Reasoning Targets
Interior angle
Exterior angle
Congruence
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-Classify triangle by sides and
-Apply
angles.
properties,
definitions,
and theorems
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ISS Curriculum Guide
Geometry
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10
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ISS Student Friendly Learning
Target
(NCSCOS)
Priority
E, M, I,
N
“I can check to see if triangles
Knowledge Targets


are similar.”

“I can solve for missing parts of
right triangles using the
Pythagorean theorem and/or

Scalene

“I can classify triangles by their




perpendicular bisectors, angle
bisectors and midsegments and
use them to solve problems.”
“I can find interior and exterior
angles of a triangle.”
“I can prove corresponding parts
of congruent triangles are
congruent.”
“I can identify the points of
concurrency for the special
segments of a triangle.”
2.03 Apply properties, definitions,
and theorems of two-dimensional
E
Pythagorean theorem
Proportional
geometric mean.”
“I can name altitudes, medians,
Scale factor


sides and angles.”
Equality
Acute angle

Midsegment
Flow chart proof
Paragraph proof
Geometric mean
Included angle

Centroid

Circumcenter

triangles
Two Column proof


write proofs
Perpendicular bisector
Angle bisector

solve
Obtuse angle


figures to
involving
Right angle
Median

dimensional
Equiangular
Equilateral


of two-
problems and
Altitude

Performance/
Skill
Targets
Isosceles


Reasoning Targets
Incenter
Orthocenter
SAS
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ISS Curriculum Guide
Geometry
Top
10
EC
ISS Student Friendly Learning
Target
(NCSCOS)
Priority
E, M, I,
N
figures to solve problems and
Knowledge Targets


write proofs: a) Triangles.

7
2.03b. “I can use properties and
attributes of quadrilaterals to
solve for angles, diagonals and
HL
AAS

CPCTC



sides.”

“I can classify special

quadrilaterals according to the

number of pairs of parallel

sides.”


“I can find lengths involving the

midsegment of a trapezoid.”

“I can find the coordinates of
the endpoints of a midsegment
of a trapezoid.”
2.03 Apply properties, definitions,
and theorems of two-dimensional
figures to solve problems and
ASA
AA
-Vocabulary:
M
E
Performance/
Skill
Targets
SSS


Reasoning Targets
Rectangle
Parallelogram
Square
Rhombus
Kite
-Classify special quadrilaterals.
-Apply
properties,
definitions,
and theorems
of two-
Trapezoid
dimensional
Diagonal
solve
Isosceles trapezoid
Opposite sides
Slope
Parallel

Perpendicular

Congruent

Similar

Base

Height

Consecutive angles
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figures to
problems and
write proofs
involving
quadrilaterals
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ISS Curriculum Guide
Geometry
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ISS Student Friendly Learning
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Priority
E, M, I,
N
write proofs: b) Quadrilaterals.
8

M
2.03c. “I can find the measures
of the interior and exterior
angles of polygons.”
convex or concave.”
E

Interior angle
Performance/
Skill
Targets
-Classify a polygon as convex or
-Apply
concave.
properties,
Exterior angle
of two-
Equilateral
Equiangular

Apothem

Convex
definitions,
and theorems
Composite


2.03 Apply properties, definitions,
dimensional
figures to
solve
problems and
Concave
Inscribed
write proofs

figures to solve problems and
Circumscribed

Regular
polygons.
write proofs: c) Other polygons.


and theorems of two-dimensional
9
Polygons (n-gons)

“I can solve problems involving
polygons.”


Reasoning Targets
Midsegment (median)
-Vocabulary:

“I can classify a polygon as
inscribed and circumscribed
Knowledge Targets
2.03d. “I can find the measures
Irregular
-Vocabulary:
-Solve problems with two
Demonstrate

Radius
dimensional figures with the
knowledge of
exterior of the circle, the interior

Diameter
properties, definitions, and
the theorems
of a circle, the center of a

Circumference
theorems.
and properties
circle and on the circle.”

pi
of angles with the vertex in the
M
involving
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by writing
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ISS Curriculum Guide
Geometry
Top
10
EC
ISS Student Friendly Learning
Target
(NCSCOS)
Priority
E, M, I,
N
Knowledge Targets
“I can find the lengths of

Chord
segments formed by

Semicircle

Tangent
“I can find the degree measure

Secant
of the arcs of a circle.”

Concentric
“I can find the circumference of

Inscribed angle
a circle and use it to solve

Central angle
problems.”

Internally tangent
combinations of chords, secants,
and tangents.”
E
circles and use them to solve
Performance/
Skill
Targets
proofs.
circles
“I can identify chords, secants,
tangents, diameters and radii of
Reasoning Targets

Externally tangent
circles
problems.”
“I can solve problems involving
internally- and externally-tangent
circles.”
2.03 Apply properties, definitions,
and theorems of two-dimensional
figures to solve problems and
write proofs: d) Circles.
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Geometry
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7
ISS Student Friendly Learning
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2.04 “I can graph in the 3-D
Priority
E, M, I,
N
Knowledge Targets
-Vocabulary:

Edge
“I can name and identify the

Net
Platonic solids.”

Face
“I can identify a net of a solid.”

Base

Vertices
2.04 Develop and apply

Cube
properties of solids to solve

Sphere
problems.

Cone

Cylinder
(HONORS ONLY)

Prism
2.05

Composite

Truncated (cut off)

Platonic solids
proofs by applying properties,

definitions, and theorems among
Tetrahedron

Polyhedron/ Polyhedra
coordinate plane.”
M
“I can write two-column,
flow, and paragraph proofs.”
Reasoning Targets
Performance/
Skill
Targets
-Develop and apply properties of
solids to solve problems.
2.05: Create direct (two-column,
flow, and paragraph) and indirect
E
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ISS Curriculum Guide
Geometry
Top
10
EC
ISS Student Friendly Learning
Target
(NCSCOS)
Priority
E, M, I,
N
Knowledge Targets
Reasoning Targets
Performance/
Skill
Targets
angles, lines, and twodimensional figures.
1
Goal 3:
The learner will
transform geometric figures in the
M
coordinate plane algebraically.



3.01 “I can translate, reflect,

rotate, and dilate polygons in
“I can describe a transformation


(20% of EOC)
the coordinate plane.”
- Vocabulary:
E
in with algebra rules.”
3.01 Describe the transformation
Translation
Rotation
Reflection
Dilation
Counterclockwise

Composition

Isometry

Pre-image

dilation) of polygons in the
-Describe the transformation
(translation, reflection, rotation,
dilation) of polygons in the
coordinate plane in simple
algebraic terms.
Clockwise


(translation, reflection, rotation,
Transformation
Image
Mapping
coordinate plane in simple
algebraic terms.
2
3.02 “I can write the vertex
M
- Vocabulary:
-Solve problems involving matrix
matrix.”

Rows
operations (addition, subtraction,
“I can write a matrix expression

Columns
multiplication, scalar
that describes the
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multiplication) and describe the
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ISS Curriculum Guide
Geometry
Top
10
EC
ISS Student Friendly Learning
Target
(NCSCOS)
Priority
E, M, I,
N
Reasoning Targets

Vertex matrix
transformation of polygons in the
“I can find the coordinates of

Identity matrix
coordinate plane.
the image after the

Translation vector
transformation.”
E
Knowledge Targets
Performance/
Skill
Targets
transformation.”
“I can recognize/identify a
transformation in the coordinate
plane.”
“I can do a composition of
transformations.”
3.02 Use matrix operations
(addition, subtraction, and
multiplication, scalar
multiplication) to describe the
transformation of polygons in the
coordinate plane.
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