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PACING GUIDE - NPS/CT/CCSS - GEOMETRY Updated- 5/16/2014 High School Geometry Unit 1 4 weeks + 1 week for re-teaching/enrichment 25 days Week One Understand and use the basic defined and undefined terms of geometry (points, line plane, collinear, coplanar, line segment, ray, vertex, endpoint) (CC.9-12. G. GPE.5) Resource: Vocabulary Template Frayer Model Graph points, lines, line segments, rays, and define coordinate points (CC. 9-12.G.CO.1) Derive the distance formula from the Pythagorean Theorem (CC.9-12.G.GP E.5) Resource: Graphing and Distance Formula HW: Distance Formula Slope formula and equation of a line Horizontal and vertical (CC.9-12. G. GPE.5) Common Formative Resource: Graphing Lines Equations of Lines, Assessment HW: Graphing Lines Discovery of parallel and perpendicular lines (CC. 9-12.G.CO.1) Resource: Investigating Parallel and Perpend. Lines HW: Parallel and Perp Lines Formal definition of parallel and perpendicular lines and apply (CC. 9-12.G.CO.1) Resource: Investigating Parallel and Perp Lines-Day 2 HW: Parallel and Perp Lines-Day 2 Week Two Graph lines, intersections, form polygons through investigation stations (CC.9-12. G. GPE.4) Resource: Quadrilateral Investigation Formal definitions and discussion of: rectangle, parallelogram and trapezoid (CC.9-12. G. GPE.4) Resource: Quadrilateral Properties HW: Identify Quadrilaterals Formal Assessment Resource: Investigation: Given segments with two endpoints and pit on a segment generalize a relationship algebraically (CC.9-12. G. GPE.6) Midpoint formula and partition of a line (CC.9-12. G. GPE.6) Resource: Segment Addition and Midpoint Compute area and perimeter of polygons in the coordinate plane (CC.9-12. G. GPE.7) Resource: Perimeter and Area Enrichment Perimeter and Area

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Page 1: NPS/CT/CCSS - GEOMETRY - Norwalk Public Schools Rotations (Patty Paper) ... Paper Geometry “Folding the Basic Geometric ... NPS/CT/CCSS - GEOMETRY

PACING GUIDE - NPS/CT/CCSS - GEOMETRY Updated- 5/16/2014

High School Geometry Unit 1 4 weeks + 1 week for re-teaching/enrichment 25 days

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Understand and use

the basic defined and

undefined terms of

geometry (points,

line plane, collinear,

coplanar, line

segment, ray, vertex,

endpoint)

(CC.9-12. G.

GPE.5)

Resource:

Vocabulary

Template – Frayer

Model

Graph points, lines, line

segments, rays, and

define coordinate points

(CC. 9-12.G.CO.1)

Derive the distance

formula from the

Pythagorean Theorem

(CC.9-12.G.GP

E.5)

Resource:

Graphing and Distance

Formula

HW: Distance Formula

Slope formula and

equation of a line

Horizontal and vertical

(CC.9-12. G. GPE.5)

Common Formative

Resource:

Graphing Lines

Equations of Lines,

Assessment

HW: Graphing Lines

Discovery of parallel and

perpendicular lines

(CC. 9-12.G.CO.1)

Resource:

Investigating Parallel

and Perpend. Lines HW: Parallel and Perp

Lines

Formal definition of

parallel and

perpendicular lines and

apply

(CC. 9-12.G.CO.1)

Resource:

Investigating Parallel

and Perp Lines-Day 2 HW: Parallel and Perp

Lines-Day 2

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Graph lines,

intersections, form

polygons through

investigation stations

(CC.9-12. G. GPE.4)

Resource:

Quadrilateral

Investigation

Formal definitions and

discussion of: rectangle,

parallelogram and

trapezoid

(CC.9-12. G. GPE.4)

Resource:

Quadrilateral Properties

HW: Identify

Quadrilaterals

Formal Assessment

Resource:

Investigation: Given

segments with two

endpoints and pit on a

segment generalize a

relationship

algebraically

(CC.9-12. G. GPE.6)

Midpoint formula and

partition of a line

(CC.9-12. G. GPE.6)

Resource: Segment

Addition and Midpoint

Compute area and

perimeter of polygons in

the coordinate plane

(CC.9-12. G. GPE.7)

Resource:

Perimeter and Area

Enrichment Perimeter

and Area

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Investigation: If a

point lies on the

circle with the center

at (0,0) and a radius

of 2

(CC.9-12. G. GPE.4)

Pythagorean

Theorem, distance

formula, equation of

a circle.

(CC.9-12. G. GPE.4)

Resource:

Dialogue Learning

with Circles

Equation of Circle

Investigation

Solid definitions

Discussion

Angles

(CC.9-12. G. GPE.4)

Resource:

Parts of a Circle

HW: Time Spent Circle

Graph

Central Angles and arc

length

(CC. 9-12.G.CO.1)

Resource: Arc Investigations

(HW included)

Practice/Access

Resource:

Arc Length and Sector

Formulas

(HW included)

Investigation with

reflections

(CC. 9-12.G.CO.4)

(CC. 9-12.G.CO.5)

Function rule (x,y)

becomes (-x,y) or (x,-y)

Resource:

Investigating

Reflections

(Patty Paper)

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Investigation with

translations

(CC. 9-12.G.CO.4)

(CC. 9-12.G.CO.5)

Function rule (x,y)

becomes (x+a,y+b)

(CC. 9-12.G.CO.2)

Resource:

Investigating

Translations

(Patty Paper)

Investigation with

rotations

(CC. 9-12.G.CO.4)

(CC. 9-12.G.CO.5)

Function rule (x,y)

becomes (y,-x) 90deg

or (-y,x) 90deg counter

or (-x,-y) 180deg

(CC. 9-12.G.CO.2)

Resource:

Investigating

Rotations

(Patty Paper)

Practice /Application

Resource:

Transformations practice

(a, b, c and d)

Practice/Application

Compare

transformations of

those that preserve

distance and angle,

compared to those that

do not preserve

distance

(CC. 9-12.G.CO.2)

(CC. 9-12.G.CO.3)

Resource:

Investigating

Dilations (with

enrichment)

Assessment

Resource:

Unit 1 Assessment

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(Objective)

(Standard #)

(Resource)

Performance Task:

Baseball Diamond

(Objective)

(Standard #)

(Resource)

(Objective)

(Standard #)

(Resource)

(Objective)

(Standard #)

(Resource)

(Objective)

(Standard #)

(Resource)

Page 4: NPS/CT/CCSS - GEOMETRY - Norwalk Public Schools Rotations (Patty Paper) ... Paper Geometry “Folding the Basic Geometric ... NPS/CT/CCSS - GEOMETRY

High School Geometry Unit 2 5 weeks + 1 week for re-teaching/enrichment 30 days

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Measuring Segments,

Bisect, Midpoint,

Segment Bisector

SWBAT: Determine

and define the

segment bisector by

creating line segments

using patty paper.

SWBAT: Practice and

apply finding the

segment bisector of a

line segment.

(CC.9-12. G.

G.CO.9)

Resource: Patty

Paper Geometry

“Folding the Basic

Geometric

Construction” pg. 15

Segment Bisectors with

Algebra

SWBAT: Use properties

of segment bisectors to

solve algebraic

equations.

(CC.9-12. G.

G.CO.9)

Resource:

Kuta Software:

“Segment Bisectors”

Measuring -- Angle Bisectors – Algebra SWBAT: Determine and

define the angle bisector by

creating angles using patty

paper.

SWBAT: Practice and apply

finding the angle bisector of

an angle.

(CC.9-12. G. G.CO.9)

Resource: Patty Paper

Geometry “Folding An

Angle Bisector” pg. 17

Angle Bisectors Algebra

(CC.9-12. G. G.CO.9)

SWBAT: Use

properties of angle

bisectors to solve

algebraic equations.

Resource: Kuta Software: “Angle

Bisector of Triangles”

Perpendicular Bisectors

SWBAT: Determine

and define the

perpendicular bisector

by creating line

segments using patty

paper.

SWBAT: Practice and

apply finding the

perpendicular bisector

of a segment.

(CC.9-12. G.

G.CO.9)

Resource: Resource:

Patty Paper

Geometry “Folding

The Perpendicular

Bisector Of A Line

Segment” pg. 19

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Assess Bisectors

SWBAT:

Demonstrate

mastery of segment,

angle and

perpendicular

bisectors using an

exit ticket.

(CC.9-12. G.

G.CO.9)

Resource:

Complementary & Supplementary Angles

SWBAT: Use

properties of

complementary and

supplementary angles.

(CC.9-12. G.

G.CO.9)

Resource: Geometry,

McDougal Litell,

p.47-50

1.6 Practice A, B, & C

Worksheet from

Teacher Resource

Book

Linear Pair & Vertical Angles

SWBAT: Determine and

define properties of linear

pair and vertical angles

using patty paper.

(CC.9-12. G. G.CO.9)

Resource: Patty Paper

Geometry, “Vertical

Angles” pg. 9 and

“Adjacent Angles and

linear Pairs” pg. 10

Independent Practice Review

SWBAT: Apply

properties of angles to

solve algebraic

problems

(CC.9-12. G. G.CO.9)

Resource:

Independent Practice / Quiz

(CC.9-12. G.

G.CO.9)

Resource:

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Relationships Corresponding, Alternate Interior, Alternate Exterior, Consecutive Angles

(CC.9-12. G.

G.CO.9)

Resource:

Discovery Parallel Lines & Transversals – Relationships Corresponding, Alternate Interior, Alternate Exterior, Consecutive Angles

(CC.9-12. G.

G.CO.9)

Resource:

Guided Practice – Parallel Lines & Transversals – Relationships Corresponding, Alternate Interior, Alternate Exterior, Consecutive Angles

(CC.9-12. G. G.CO.9)

Resource:

Independent Practice – Parallel Lines & Transversals – Relationships Corresponding, Alternate Interior, Alternate Exterior, Consecutive Angles

(CC.9-12. G. G.CO.9)

Resource:

Review and Quiz

(CC.9-12. G.

G.CO.9)

Resource:

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(Objective)

(Standard #)

(Resource)

(Objective)

(Standard #)

(Resource)

(Objective)

(Standard #)

(Resource)

(Objective)

(Standard #)

(Resource)

(Objective)

(Standard #)

(Resource)

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Corresponding Sides and Angles

(CC.9-12. G.

G.CO.7)

Resource:

Triangle Congruency – Congruent Statement

(CC.9-12. G.

G.CO.7)

*(CC.9-12.G.CO.6)

(consider if time

permits)

Resource: (optional)

7.4B Practice

Worksheet from

Teacher Resource

Book

SSS and SAS

(CC.9-12. G. G.CO.8)

Resource:

SSS and SAS

(CC.9-12. G. G.CO.8)

Resource:

ASA and AAS

(CC.9-12. G.

G.CO.8)

Resource

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ASA and AAS

(CC.9-12. G.

G.CO.8)

(Resource)

HL

(CC.9-12. G.

G.CO.8)

(Resource)

HL

(CC.9-12. G. G.CO.8)

Resource:

Review for Test

(CC.9-12. G. G.CO.8)

Resource)

Test

(CC.9-12. G.

G.CO.8)

Resource)

Page 7: NPS/CT/CCSS - GEOMETRY - Norwalk Public Schools Rotations (Patty Paper) ... Paper Geometry “Folding the Basic Geometric ... NPS/CT/CCSS - GEOMETRY

High School Geometry Unit 3 4 weeks + 1 week for re-teaching/enrichment 25 days

Week

One

(Objective)

By the end of class

students will be able

to: Understand the

triangle sum thrm.

CC.9-12.G.CO.10

(Resource)

(Objective)

Find the measures of

unknown angles in

triangles.

CC.9-12.G.CO.10

(Resource)

(Objective)

Find the measures of

unknown angles in

triangles within more

complex figures.

CC.9-12.G.CO.10

(Resource)

(Objective)

Find the measures of

unknown angles in

triangles using

algebraic expressions.

CC.9-12.G.CO.10

(Resource)

(Objective)

QUIZ

CC.9-12.G.CO.10

(Resource)

Week

Two

(Objective)

Identify the

properties of a

triangle’s

midsement.

CC.9-12.G.CO.10

(Resource)

(Objective)

Construct and graph

a triangle’s

midsegment.

CC.9-12.G.CO.10

(Resource)

(Objective)

Verify the midsegment

of a triangle from a

graph.

CC.9-12.G.CO.10

(Resource)

(Objective)

Use the properties of

a midsegment to solve

real-life and algebraic

problems.

CC.9-12.G.CO.10

(Resource)

(Objective)

QUIZ

(Standard #)

(Resource)

Week

Three

(Objective)

Identify and find

the equation of a

median of a

triangle.

CC.9-12.G.CO.10

(Resource)

(Objective)

Find the centroid of

a triangle.

CC.9-12.G.CO.10

(Resource)

(Objective)

Generate the

concurrency of medians

theorem.

CC.9-12.G.CO.10

(Resource)

(Objective)

Verify the

concurrency of

medians theorem.

(optional)

CC.9-12.G.CO.10

(Resource)

(Objective)

QUIZ

CC.9-12.G.CO.10

(Resource)

Page 8: NPS/CT/CCSS - GEOMETRY - Norwalk Public Schools Rotations (Patty Paper) ... Paper Geometry “Folding the Basic Geometric ... NPS/CT/CCSS - GEOMETRY

Week Five: Re-teach or enrich (consider teaching construction of regular polygons inscribed in a circle)

CC.9-12.G.CO.13

Week

Four

(Objective)

Prove the opposite

sides and angles of

a parallelogram

are congruent. Use

these properties to

solve problems.

CC.9-12.G.CO.11

(Resource)

(Objective)

Prove the diagonals

of a parallelogram

bisect each other.

Use this property to

solve problems.

CC.9-12.G.CO.11

(Resource)

(Objective)

Prove that a

quadrilateral is a

parallelogram.

CC.9-12.G.CO.11

(Resource)

(Objective)

Draw, hypothesize

and verify the

diagonals of a

rectangle.

CC.9-12.G.CO.11

(Resource)

(Objective)

QUIZ

CC.9-12.G.CO.11

(Resource)

Week

Five

(Objective)

(Standard #)

(Resource)

(Objective)

(Standard #)

(Resource)

(Objective)

(Standard #)

(Resource)

(Objective)

(Standard #)

(Resource)

(Objective)

(Standard #)

(Resource)

Page 9: NPS/CT/CCSS - GEOMETRY - Norwalk Public Schools Rotations (Patty Paper) ... Paper Geometry “Folding the Basic Geometric ... NPS/CT/CCSS - GEOMETRY

High School Geometry Unit 4 5 weeks + 1 week for re-teaching/enrichment 25 days

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SWBAT: define

and recognize the

relationship of

similar triangles

through inquiry

(Standard #)CC.9-

12.G.SRT. 5

(Resource) –

“Similar Triangle

Investigation” http://curriculum.austinisd.org/math/hs/geo/documents/4_6wks/M_Geo_4th_6wks_RSC_Triangle_similarity_Activity.pdf

“Triangle

Similarity

Investigation

Conclusion and

Notes”

SWBAT: determine if

triangles are similar

and identify

corresponding parts of

similar triangles

(Standard #)

CC.9-12.G.SRT. 5

(Resource)

Worksheet:

“Triangle Similarity”

“Triangle Similarity

Through Proportional

Sides Homework”

SWBAT: discover AA

similarity postulate and

generate and prove other

similarity postulates and

theorems.

(Standard #) CC.9-

12.G.SRT. 3

(Resource)

Worksheet:

“AA Discovery”

“AA Similarity Postulate,

SSS, SAS Similarity

Theorems”

“AA Postulate, SSS, SAS

Theorems and

Homework”

SWBAT: discover AA

similarity postulate and

generate and prove other

similarity postulates and

theorems.

(Standard #) CC.9-

12.G.SRT. 3

(Resource)

Worksheet:

“AA Discovery”

“AA Similarity Postulate,

SSS, SAS Similarity

Theorems”

“AA Postulate, SSS, SAS

Theorems and Homework”

SWBAT: find missing

sides of triangles

using similarity

(Standard #) CC.9-

12.G.SRT. 5

(Resource)

Worksheet:

“Proportions and

Similar Triangles”

“Height

Investigation”

“Homework

Proportions and

Similar Triangles”

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Review

Standard #) CC.9-

12.G.SRT. 5

(Standard #) CC.9-

12.G.SRT. 3

Assessment

Standard #) CC.9-

12.G.SRT. 5

(Standard #) CC.9-

12.G.SRT. 3

SWBAT: discover

triangle proportionality

theorems and use to

prove the Pythagorean

Theorem

(Standard #) CC.9-

12.G.SRT. 4

(Resource)

Worksheets:

“ Similar Triangles and

Pythagorean Theorem

“Discovery

Proportionality with

Parallel Lines-Practice

and Homework”

SWBAT: prove the

similarity of altitudes and

medians for similar

triangles

(Standard #) CC.9-

12.G.SRT. 4

(Resource)

Worksheet:

“Angle Bisector

Proportionality

Investigation”

SWBAT: recognize

the ratio of the sides

of similar triangles is

equal to the ratio of

the perimeters, and

the squares of the

sides is the ratio of

the areas

(Standard #) CC.9-

12.G.SRT. 4

(Resource)

Worksheet:

“Perimeter and Area

of Similar Polygons

Discovery-Practice-

Homework”

Ratio of Lengths,

Areas Additional

Practice

“Ratio of Perimeter

and Area Quiz”

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SWBAT:

understand dilation

images of figures

(Standard #) CC.9-

12.G.SRT. 1

(Resource) Worksheet: “Investigating Properties of Dilations-Practice-Homework” Extension Activity: “Drawing Dilations” CFA: “ Dilations”

Independent

practice/review

(Standard #)

CC.9-12.G.SRT. 5

CC.9-12.G.SRT. 4

CC.9-12.G.SRT. 1

(Resource

ASSESSMENT

(Standard #)

CC.9-12.G.SRT. 5

CC.9-12.G.SRT. 4

CC.9-12.G.SRT. 1

(Resource)

SWBAT: prove theorems

about triangle similarity

through investigation

(Standard #)CC.9-

12.G.SRT.4

(Resource)

“Altitude Proportionality

in Right Triangles”

notecard activity- 9.1

Honors Geom. book

SWBAT: identify

geometric mean and

prove altitudes and

legs are geometric

means of right

triangles

(Standard #)CC.9-

12.G.SRT.4

(Resource)

“Geometric Mean

Proportionality”

“Geometric Mean

Proportionality Part-

2 and Homework”

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SWBAT: discover

special right

triangles properties

(Standard #)CC.9-

12.G.SRT.6

(Resource)

“Special Right

Triangle

Relationships

Investigation”

section 9.4 – honors

geo book

SWBAT: use

trigonometric ratios to

solve right triangles

and recognize the

relationship between

the sine and cosine of

complementary angles

of a right triangle

(Standard #)CC.9-

12.G.SRT.8

Resource:

Worksheet:

“Intro to Trig Ratios”

“Intro to Trig Ratios

Practice”

“Intro to Trig Ratios

Homework”

SWBAT: use

trigonometric ratios to

solve right triangles and

recognize the

relationship between the

sine and cosine of

complementary angles of

a right triangle

(Standard #)CC.9-

12.G.SRT.8

C.9-12.G.SRT.7

(Resource)

Independent

Practice/Review

(Standard #)CC.9-

12.G.SRT.6

(Standard #)CC.9-

12.G.SRT.8

(Standard #)CC.9-

12.G.SRT.4

Assessment

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SWBAT: solve

application

problems using

trigonometric

ratios, including

angles of elevation

and depression

(Standard #) CC.9-

12.G.SRT.8

(Resource)

Worksheet:

“Solving Word

Problems Using

Trig Ratios”

Solving

Trig Performance

Task”

SWBAT: solve

application problems

using trigonometric

ratios, including

angles of elevation

and depression

(Standard #) CC.9-

12.G.SRT.8

(Resource)

SWBAT: discover and

apply the inverse

functions to

trigonometric ratios

(Standard #)

(Resource)

Worksheets:

“Inverse Trig Ratio

Discovery and Practice”

“Inverse Trig Ratio

Homework”

Assessment

(Standard #)

(Resource)

UNIT REVIEW

(Standard #)

(Resource)

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UNIT REVIEW

(Standard #)

(Resource)

UNIT TEST

(Standard #)

(Resource)

(Objective)

(Standard #)

(Resource)

(Objective)

(Standard #)

(Resource)

(Objective)

(Standard #)

(Resource)

* Schedule assessment based on PLC discussion and data

Page 14: NPS/CT/CCSS - GEOMETRY - Norwalk Public Schools Rotations (Patty Paper) ... Paper Geometry “Folding the Basic Geometric ... NPS/CT/CCSS - GEOMETRY

Geometry, Unit 5 – “Circles and Other Conic Sections” ; 4 weeks + 1 week for re-teaching/enrichment 25 days

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Parts of a Circle:

Radius, diameter,

chord, secants

Circumference and

area

(Objective)

(SWBAT)

By the end of class

students will be able

to:

Find the area and

circumference of a

circle using

diameter and radius

Define parts of

circles

(Standard #) CC.9-12.G.C.2

(Resource)

See Unit #1

or Teacher

selected.

Geom. “A”

book

(McDougal

Littell),

Chps. 1, 10

&11

Prove all circles are

similar

CFA

(Objective)

SWBAT: prove all

triangles are similar

using radius,

diameter,

circumference, and/or

area

Apply properties of

scale factors

(Standard #)

CC.9-12.G.C.1

(Resource)

See Unit #1 or

Teacher

selected.

Geom. “A”

book

(McDougal

Litell), Chps.

1, 10 &11

Arcs and central angles

(Objective)

SWBAT: Find the

measures of arcs and

central angles.

Find arc lengths and

identify major arcs, minor

arcs, semi-circles,

adjacent arcs

Use relationship between

arc and angles to find

measures

Relationships between

arcs, cords and diameters.

(Standard #)

CC.9-12.G.C.2 CC.9-12.G.C.5

(Resource)

See Unit #1 or

teacher selected.

Geom. “A” book

(McDougal Litell),

Chps. 1, 10 &11

Derive: Area of sectors

CFA

(Objective)

SWBAT: Derive and

apply area of a sector.

Find area of circles

Find the radius of a

circle when given area

of a sector and the

central angle

(Standard #) CC.9-12.G.C.5

(Resource)

See Unit #1 or

Teacher

selected.

Geom. “A”

book

(McDougal

Litell), Chps. 1,

10 &11

Radian Measure

(activity)

(Objective)

SWBAT: develop an

understanding of

radian measure as

compared to degree

measure

(Standard #) CC.9-12.G.C.5

(Resource)

Teacher generated

or KUTA

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Radian Measure

CFA

(Objective)

SWBAT: convert

between radian

measure and degree

measure

(Standard #)

CC.9-12.G.C.5

(Resource)

Teacher generated

or KUTA

Inscribed angles,

intercepted arcs,

(Activity)

(Objective)

SWBAT: find measure

of inscribed angles

and inscribed

polygons

(Standard #) CC.9-12.G.C.2

(Resource)

Geom. “A” book

(McDougal Litell),

Activity 10.3 (p. 612)

– “Investigating

Inscribed Angles”

Tangents

CFA?

(Objective)

SWBAT: use properties of

tangents and solve

problems involving

circumscribed polygons

Identify tangent, use

tangent to find missing

values

(Standard #) CC.9-12.G.C.2

(Resource)

Geom. “A” book

(McDougal Litell), 10.1 –

p. 595 or

Kuta software

Derive: arc

intercepted by an

angle is proportional

to the radius

(investigation)

(Objective)

SWBAT: derive a

proportion relating the

intercepted arc to the

radius of a circle

(Standard #) CC.9-12.G.C.2

(Resource)

Teacher generated or

KUTA

Derive: central

angles

Inscribed angles

Circumscribed

angles

(investigation)

(Objective)

SWBAT: use the

relationship between

central angles,

inscribed angles,

circumscribed

angles and their

arcs.

(Standard #) CC.9-12.G.C.2 (Resource)

Teacher generated

or KUTA

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Apply properties of

angles

Assessment

(Objective)

SWBAT: apply

properties of central

angles, inscribed

angles, and

circumscribed

angles as they relate

to their arcs

(Standard #) CC.9-12.G.C.2

(Resource)

Assessment =

Teacher generated –

Book or Kuta

software

Construct: inscribed

and circumscribed

triangles

(Objective)

SWBAT: construct an

inscribe and

circumscribed triangle

and apply properties

of the elements

(angles, cords, ect.) of

a circle

(Standard #) CC.9-12.G.C.3

(Resource)

* See Binder –

Discovering

Geometry,

“Condensed Lesson

3.7” (in Binder)

Construct: inscribed and

circumscribed polygons.

Assessment

(project/choice based)

(Objective)

SWBAT: construct an

inscribe and

circumscribed polygons

and apply properties of

the elements (angles,

cords, ect.) of a circle

(Standard #) CC.9-12.G.C.3

(Resource)

(in Binder)

Challenging = Honors

Geom. book - p.565,

“Exploration &

Extension” –

Circumscribed Polygons

and Circles

Easier = Honors Geom.

book, p. 478 – “Making

Conjectures About

Circles”

Equation of a circle

(investigation)

Use Pythagorean

Theorem

(Objective)

SWBAT: derive the

equation of a circle

given the center and

radius using the

Pythagorean Theorem.

Graph a circle on the

coordinate plane

(Standard #) CC.9-12.G.GPE.1

(Resource)

Teacher generated or

KUTA

Equation of a circle

CFA-relationship

of equation of a

circle and

Pythagorean

Theorem

(Objective)

SWBAT: graph,

apply and create

equations of circle

(Standard #) CC.9-12.G.GPE.1

(Resource)

Teacher generated

or KUTA

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Find the center and

radius

Use Complete the

square

(Objective)

SWBAT: find the

center and radius of

a circle using

complete the square

(Standard #) CC.9-12.G.GPE.1

(Resource)

Geom. “A” book

(McDougal Litell),

10.6 – “Equations of

Circles”

Prove Simple

geometric theorems

algebraically

(Objective)

SWBAT: prove simple

geometric theorems

algebraically in the

coordinate plane

Prove/disprove 4

points make a

rectangle

Prove/disprove a

given point lies on a

given circle

(Standard #) CC.9-12.G.GPE.4

(Resource)

Prove simple geometric

theorems algebraically

CFA

(Objective)

SWBAT: prove simple

geometric theorems

algebraically in the

coordinate plane

Prove/disprove 4 points

make a rectangle

Prove/disprove a given

point lies on a given circle

(Standard #)

CC.9-12.G.GPE.4

(Resource)

Derive equation of a

parabola given focus

and directrix

(Objective)

SWBAT: derive the

equation of a parabola

given the focus and

directrix.

(Standard #)

CC.9-12.G.GPE.2

(Resource)

Derive/apply

equation of a

parabola given

focus and directrix

(Objective)

SWBAT: derive the

equation of a

parabola given the

focus and directrix.

(Standard #)

CC.9-12.G.GPE.2

(Resource)

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(Objective)

(Standard #)

(Resource)

(Objective)

(Standard #)

(Resource)

(Objective)

(Standard #)

(Resource)

(Objective)

(Standard #)

(Resource)

(Objective)

(Standard #)

(Resource)

Page 18: NPS/CT/CCSS - GEOMETRY - Norwalk Public Schools Rotations (Patty Paper) ... Paper Geometry “Folding the Basic Geometric ... NPS/CT/CCSS - GEOMETRY

Geometry, Unit 6 – “Extend to Three Dimensions”; 4 weeks + 1 week for re-teaching/enrichment, 25 days

* Follow this daily order exactly or see “Teacher Notes” in Binder for optional pacing – Either way, all topics are addressed.

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SWBAT: discover the

volume formula for

prisms and cylinders

SWBAT: Identify

correct volume

formulas prisms and

cylinders

(Standard #)

CC.9-12.G.GMD.1

CC.9-12.G.GMD.4

CC.9-12.G.GMD.3

(Resource)

Teacher generated

OR Big Ideas

Geometry, 11.4, p.

617-622 (in Binder)

SWBAT: discover

Cavalieri’s Principle

SWBAT: use Cavalieri’s

principle to derive

formulas

*rotations and cross

sections

(Standard #)

CC.9-12.G.GMD.1

(Resource)

Honors Geom. Book –

chp. 12 - p. 608

(Volume of a Prism and

a Cylinder – Cavalieri’s

Principle)

(in Binder)

SWBAT: Find volume

of cylinders and

prisms

SWBAT: Use volume

formulas to find

missing dimensions of

cylinders, prisms

(Standard #)

CC.9-12.G.GMD.3

(Resource)

NCTM Illuminations-

“Popcorn Anyone” http://illuminations.nctm.org/LessonDetail.aspx?id=L797

(Also in Binder)

SWBAT: Discover the

relationship between the

volume of pyramids and

prims

SWBAT: Discover the

relationship between the

volume of cones and

cylinders

(Standard #)

CC.9-12.G.GMD.3

(Resource)

Discovering Geometry,

chp. 10 – Condensed

Lesson 10.1, “Geometry of

Solids” (in Binder and at

website below) http://math.kendallhunt.com/documents/dg4/CondensedLessons/DG4CL_895_10.pdf (See Teacher Notes & Binder for additional suggestions/activities.)

SWBAT: Find

volume of

cylinders,

pyramids, cones,

and prisms

SWBAT: Use

volume formulas to

find missing

dimensions of

cylinders,

pyramids, cones,

and prisms

(Standard #)

CC.9-12.G.GMD.3

(Resource)

Kuta Software

Geometry

Textbooks or

*Honors Geom.

Book, 12.4/12.5 –

pages 607 – 618,

“Volume of Prisms

and Cylinders”

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SWBAT: Use volume

formulas to find

missing dimensions of

prisms, cylinders,

pyramids and cones

(Standard #)

CC.9-12.G.GMD.3

(Resource)

Kuta Software

Geometry Textbooks

*Honors Geom. Book,

12.4/12.5 – pages 607

– 618

(in Binder)

SWBAT: Use volume

formulas to find missing

dimensions of prisms,,

cylinders, pyramids and

cones

(Standard #)

CC.9-12.G.GMD.3

(Resource)

Kuta Software

Geometry Textbooks

*Honors Geom. Book,

12.4/12.5 – pages 607 –

618 (in Binder)

SWBAT: Use volume

formulas to find

missing dimensions of

prisms, cylinders,

pyramids and cones

(Standard #)

CC.9-12.G.GMD.3

(Resource)

Kuta Software

Geometry Textbooks

*Honors Geom.book,

12.4/12.5 – pages 607

– 618 (in Binder)

Assessment

(Standard #)

CC.9-12.G.GMD.3

Teacher generated

(Resource)

SWBAT: Discover the

formula for the volume

of a sphere

*make connections

between properties of

circles and spheres

(Standard #)

CC.9-12.G.GMD.3

(Resource)

Investigating with

Relational GeoSolids

or

Big Ideas Geometry,

11.8 - p. 647,

“Exploration #2” (See

Binder for copy)

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SWBAT: Use volume

formulas to find

missing dimensions of

spheres

(Standard #)

CC.9-12.G.GMD.3

(Resource)

Kuta software

Geometry Textbook

*Honors Geom .book,

12.6 – pages 620-625

(in Binder)

SWBAT: determine

whether solids are

congruent or similar

(Standard #)

CC.9-12.G.GMD.1

(Resource)

-Honors Geom. Book,

12.7, p. 626-628:

“Extended Application:

Similar Solids” or

- Kuta Software

SWBAT: use scale

factors to determine if

two solids are similar

SWBAT: construct

solids that are similar

(Standard #)

CC.9-12.G.GMD.1

(Resource)

Kuta software

SWBAT: use

similarity and

congruence of solids

to solve real world

volume problems

(Standard #)

CC.9-12.G.GMD.1

(resource)

Geom. “A” book

(McDougal Litell), p.

834 (Comparing

volumes of two

different solids)

Review

Assessment

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SWBAT: determine

when different solids

have the same volume

(Standard #)

CC.9-12.G.GMD.1

(Resource)

Teacher generated

SWBAT: model volume

based on real world

applications

*include unit

conversions

(Standard #)

CC.9-12.G.GMD.2

(Resource)

Teacher generated or

KUTA

SWBAT: model volume

based on real world

applications

(Standard #)

CC.9-12.G.GMD.2

(Resource)

Teacher generated or

KUTA

Unit REVIEW UNIT ASSESSMENT

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SWBAT:

INTERDISCIPLANRY

UNIT….to review and

enrich

(ex) - Population

Density

Water Displacement

Maps

(Standard #)

(Resource)

SURFACE AREA

* Surface Area is

optional – It is NOT in

the CT Common Core

curriculum, but the team

felt that a review was

worthwhile either at the

beginning or end of Unit

#6

** See “Teacher

Notes”(in binder) for

details

SURFACE AREA

* Surface Area is

optional – It is NOT in

the CT Common Core

Geometry curriculum,

but the team felt that a

review was worthwhile

either at the beginning

or end of Unit #6

** See “Teacher

Notes”( in Binder) for

details

(Objective)

(Standard #)

(Resource)

(Objective)

(Standard #)

(Resource)

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Geometry, Unit 7 – “Applications of Probability”; 3 weeks + 1 week for re-teaching/enrichment 20 days

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SWBAT calculate

experimental and

theoretical

probability.

(CC.9-12.S.CP.1)

(RESOURCE)

Alg I book (green

PH) (in Binder)

4-5, p. 210

“Investigation

Understanding

Probability”

Or

Big Ideas Algebra II,

10.1, p537

(See Binder)

HW – practice

problem

SWBAT calculate

experimental and

theoretical probability.

Vocabulary:

Introduction and

example

(CC.9-12.S.CP.1)

(RESOURCE)

Alg. I book (green

PH) (p 210-213 vocab

& example) (in

Binder)

Or

Big Ideas Algebra II,

10.1, p. 542 (See

Binder)

HW, p 214 Alg. I

book (green PH)

SWBAT create sample

spaces using various

methods.

(CC.9-12.S.CP.1)

Glenco p 899-901

Group

(Resource)

Algebra I (green PH), p

219, sec. 4-6 (in Binder)

Big Ideas Algebra II, 10.2,

p 545 (see Binder)

SWBAT create sample

spaces, calculate

experimental and

theoretical probability.

Independent Practice:

(CC.9-12.S.CP.1)

Algebra I (PH green), p

219, sec 4-6 (in Binder)

Big Ideas Algebra II,

10.2, p 545

(See Binder)

Quiz

(CC.9-12.S.CP.1)

(Resource)

Teacher generated

Or

(See Binder for pre-

made Unit #7, Quiz

1.)

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SWBAT calculate

conditional

probability utilizing

the formula P (A and

B) / P(B)

(CC.9-12.S.CP.3)

(Resource)

CCGPS,

“Introduction to

Conditional

Probability”, part 2,

p. 20

(See Binder for ALL

CCGPS activities)

SWBAT calculate

conditional probability

utilizing the formula P

(A and B) / P(B)

(CC.9-12.S.CP.3)

(Resource)

CCGPS, “A Formula

for Conditional

Probability”, part 3, p.

23

(See Binder for ALL

CCGPS activities)

SWBAT calculate

conditional probability

utilizing the formula P (A

and B) / P(B)

(CC.9-12.S.CP.3)

(Resource)

CCGPS, “Box Office”,

part 4, p. 24

(See Binder for ALL

CCGPS activities)

SWBAT calculate

conditional probability

utilizing the formula P

(A and B) / P(B)

(CC.9-12.S.CP.3)

(Resource)

Ice Cream”, part 5, p.

25

(See Binder for ALL

CCGPS activities)

Quiz

(see Binder) (Big

Ideas Algebra II, p.

562, #1-9

(CC.9-12.S.CP.3)

(Resource)

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SWBAT calculate

probabilities of

disjoint and

overlapping events.

(CC.9-12.S.CP.6)

P(AorB)= P(A) +

P(B) – P(AandB)

(Resource)

Big Ideas Algebra II,

sec. 10.4, p. 563

(See Binder)

SWBAT design a

simulation using a

random digit generator

(CC.9-12.S.CP.6)

P(AorB)= P(A) +

P(B) – P(AandB)

(Resource)

Big Ideas Algebra II,

sec. 10.4, p. 563 (See

Binder)

Review for Assessment

(Resource)

teacher generated OR

Big Ideas Algebra II, p.

586-7, 10.1, 10.2 & 10.4

(See Binder)

Review for Assessment

(Resource)

teacher generated OR

Big Ideas Algebra II, p.

586-7, 10.1, 10.2 &

10.4

(See Binder)

Assessment.

Teacher generated

(Resource)

Teacher generated

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SWBAT construct

and interpret two-

way frequency

tables of data when

two categories are

associated with each

object being

classified.

(CC.9-12.S.CP.4)

(Resource)

Big Ideas Algebra II,

sec. 10.3, p. 553-560

, (See Binder)

Sampling Project

PH (green)Algebra I,

p. 218 Technology

Lab

(Standard #)

(Resource)

Sampling Project or

review for Cumulative

Final

(Standard #)

(Resource)

Sampling Project or

review for Cumulative

Final

(Standard #)

(Resource)

Sampling Project or

review for

Cumulative Final

(Standard #)

(Resource)