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Transcript
PACING GUIDE - NPS/CT/CCSS - GEOMETRY
Week One
High School Geometry Unit 1
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)
Week Two
Resource:
Vocabulary
Template – Frayer
Model
Updated- 5/16/2014
4 weeks + 1 week for re-teaching/enrichment
Graph points, lines, line
segments, rays, and
define coordinate points
(CC. 9-12.G.CO.1)
Slope formula and
equation of a line
Horizontal and vertical
(CC.9-12. G. GPE.5)
Derive the distance
formula from the
Pythagorean Theorem
(CC.9-12.G.GP
E.5)
Common Formative
Resource:
Graphing and Distance
Formula
HW: Distance Formula
Graph lines,
intersections, form
polygons through
investigation stations
(CC.9-12. G. GPE.4)
Formal definitions and
discussion of: rectangle,
parallelogram and
trapezoid
(CC.9-12. G. GPE.4)
Resource:
Quadrilateral
Investigation
Resource:
Quadrilateral Properties
HW: Identify
Quadrilaterals
Discovery of parallel and
perpendicular lines
25 days
(CC. 9-12.G.CO.1)
Formal definition of
parallel and
perpendicular lines and
apply
(CC. 9-12.G.CO.1)
Resource:
Graphing Lines
Equations of Lines,
Assessment
HW: Graphing Lines
Resource:
Investigating Parallel
and Perpend. Lines
Resource:
Investigating Parallel
and Perp Lines-Day 2
HW: Parallel and Perp
Lines
HW: Parallel and Perp
Lines-Day 2
Formal Assessment
Investigation: Given
segments with two
endpoints and pit on a
segment generalize a
relationship
algebraically
(CC.9-12. G. GPE.6)
Compute area and
perimeter of polygons in
the coordinate plane
(CC.9-12. G. GPE.7)
Resource:
Midpoint formula and
partition of a line
(CC.9-12. G. GPE.6)
Resource: Segment
Addition and Midpoint
Resource:
Perimeter and Area
Enrichment Perimeter
and Area
Week Four
Week Three
Investigation: If a
Solid definitions
point lies on the
Discussion
circle with the center
Angles
at (0,0) and a radius (CC.9-12. G. GPE.4)
of 2
(CC.9-12. G. GPE.4)
Central Angles and arc
length
(CC. 9-12.G.CO.1)
Practice/Access
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)
Pythagorean
Theorem, distance
formula, equation of
a circle.
(CC.9-12. G. GPE.4)
Resource:
Dialogue Learning
with Circles
Equation of Circle
Investigation
Resource:
Parts of a Circle
HW: Time Spent Circle
Graph
Resource:
Arc Investigations
(HW included)
Resource:
Arc Length and Sector
Formulas
(HW included)
Investigation with
translations
(CC. 9-12.G.CO.4)
(CC. 9-12.G.CO.5)
Investigation with
rotations
(CC. 9-12.G.CO.4)
(CC. 9-12.G.CO.5)
Practice /Application
Practice/Application
Function rule (x,y)
becomes (x+a,y+b)
(CC. 9-12.G.CO.2)
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
Translations
(Patty Paper)
Resource:
Investigating
Rotations
(Patty Paper)
Resource:
Investigating
Reflections
(Patty Paper)
Assessment
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:
Transformations practice
(a, b, c and d)
Resource:
Investigating
Dilations (with
enrichment)
Resource:
Unit 1 Assessment
Week Five
(Objective)
(Objective)
(Objective)
(Objective)
(Objective)
(Standard #)
(Standard #)
(Standard #)
(Standard #)
(Standard #)
(Resource)
Performance Task:
Baseball Diamond
(Resource)
(Resource)
(Resource)
(Resource)
High School Geometry Unit 2
Measuring Segments,
Bisect, Midpoint,
Segment Bisector
Week One
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
5 weeks + 1 week for re-teaching/enrichment
Segment Bisectors with
Algebra
Measuring -- Angle Bisectors
– Algebra
Angle Bisectors Algebra
SWBAT: Use properties
of segment bisectors to
solve algebraic
equations.
SWBAT: Determine and
define the angle bisector by
creating angles using patty
paper.
SWBAT: Use
properties of angle
bisectors to solve
algebraic equations.
(CC.9-12. G.
G.CO.9)
Resource:
Kuta Software:
“Segment Bisectors”
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
(CC.9-12. G. G.CO.9)
Resource:
Kuta Software: “Angle
Bisector of Triangles”
30 days
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
Week Two
Assess Bisectors
SWBAT:
Demonstrate
mastery of segment,
angle and
perpendicular
bisectors using an
exit ticket.
(CC.9-12. G.
G.CO.9)
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
Resource:
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
Independent Practice
/ Quiz
SWBAT: Apply
properties of angles to
solve algebraic
problems
(CC.9-12. G. G.CO.9)
(CC.9-12. G.
G.CO.9)
Resource:
Resource:
1.6 Practice A, B, & C
Worksheet from
Teacher Resource
Book
Week Three
Relationships
Corresponding,
Alternate Interior,
Alternate Exterior,
Consecutive Angles
(CC.9-12. G.
G.CO.9)
Discovery Parallel Lines
& Transversals –
Relationships
Corresponding,
Alternate Interior,
Alternate Exterior,
Consecutive Angles
Guided Practice – Parallel Lines
& Transversals – Relationships
Corresponding, Alternate
Interior, Alternate Exterior,
Consecutive Angles
(CC.9-12. G. G.CO.9)
(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:
Resource:
Resource:
Review and Quiz
(CC.9-12. G.
G.CO.9)
Resource:
Week Four
Corresponding Sides
and Angles
Triangle Congruency –
Congruent Statement
(CC.9-12. G.
G.CO.7)
(CC.9-12. G.
G.CO.7)
*(CC.9-12.G.CO.6)
(consider if time
permits)
SSS and SAS
SSS and SAS
ASA and AAS
(CC.9-12. G. G.CO.8)
(CC.9-12. G. G.CO.8)
(CC.9-12. G.
G.CO.8)
Resource:
Resource:
Resource
Resource:
Week Six
Week Five
Resource: (optional)
7.4B Practice
Worksheet from
Teacher Resource
Book
ASA and AAS
HL
HL
Review for Test
Test
(CC.9-12. G.
G.CO.8)
(CC.9-12. G.
G.CO.8)
(CC.9-12. G. G.CO.8)
(CC.9-12. G. G.CO.8)
(CC.9-12. G.
G.CO.8)
Resource:
Resource)
(Resource)
(Resource)
Resource)
(Objective)
(Objective)
(Objective)
(Objective)
(Objective)
(Standard #)
(Standard #)
(Standard #)
(Standard #)
(Standard #)
(Resource)
(Resource)
(Resource)
(Resource)
(Resource)
High School Geometry Unit 3
Week
One
Week
Two
Week
Three
4 weeks + 1 week for re-teaching/enrichment
25 days
(Objective)
By the end of class
students will be able
to: Understand the
triangle sum thrm.
(Objective)
Find the measures of
unknown angles in
triangles.
(Objective)
Find the measures of
unknown angles in
triangles within more
complex figures.
(Objective)
Find the measures of
unknown angles in
triangles using
algebraic expressions.
(Objective)
QUIZ
CC.9-12.G.CO.10
CC.9-12.G.CO.10
CC.9-12.G.CO.10
CC.9-12.G.CO.10
CC.9-12.G.CO.10
(Resource)
(Resource)
(Resource)
(Resource)
(Resource)
(Objective)
Identify the
properties of a
triangle’s
midsement.
(Objective)
Construct and graph
a triangle’s
midsegment.
(Objective)
Verify the midsegment
of a triangle from a
graph.
(Objective)
(Objective)
Use the properties of
QUIZ
a midsegment to solve
real-life and algebraic
problems.
CC.9-12.G.CO.10
CC.9-12.G.CO.10
CC.9-12.G.CO.10
CC.9-12.G.CO.10
(Standard #)
(Resource)
(Resource)
(Resource)
(Resource)
(Resource)
(Objective)
Identify and find
the equation of a
median of a
triangle.
(Objective)
Find the centroid of
a triangle.
(Objective)
Generate the
concurrency of medians
theorem.
(Objective)
Verify the
concurrency of
medians theorem.
(optional)
(Objective)
QUIZ
CC.9-12.G.CO.10
CC.9-12.G.CO.10
CC.9-12.G.CO.10
CC.9-12.G.CO.10
CC.9-12.G.CO.10
(Resource)
(Resource)
(Resource)
(Resource)
(Resource)
Week
Four
Week
Five
(Objective)
Prove the opposite
sides and angles of
a parallelogram
are congruent. Use
these properties to
solve problems.
(Objective)
Prove the diagonals
of a parallelogram
bisect each other.
Use this property to
solve problems.
(Objective)
Prove that a
quadrilateral is a
parallelogram.
(Objective)
Draw, hypothesize
and verify the
diagonals of a
rectangle.
(Objective)
QUIZ
CC.9-12.G.CO.11
CC.9-12.G.CO.11
CC.9-12.G.CO.11
CC.9-12.G.CO.11
CC.9-12.G.CO.11
(Resource)
(Resource)
(Resource)
(Resource)
(Resource)
(Objective)
(Objective)
(Objective)
(Objective)
(Objective)
(Standard #)
(Standard #)
(Standard #)
(Standard #)
(Resource)
(Resource)
(Resource)
(Resource)
(Standard #)
(Resource)
Week Five: Re-teach or enrich (consider teaching construction of regular polygons inscribed in a circle)
CC.9-12.G.CO.13
Week One
High School Geometry Unit 4
5 weeks + 1 week for re-teaching/enrichment
SWBAT: define
and recognize the
relationship of
similar triangles
through inquiry
SWBAT: determine if
triangles are similar
and identify
corresponding parts of
similar triangles
SWBAT: discover AA
similarity postulate and
generate and prove other
similarity postulates and
theorems.
SWBAT: discover AA
similarity postulate and
generate and prove other
similarity postulates and
theorems.
(Standard #)CC.912.G.SRT. 5
(Standard #)
CC.9-12.G.SRT. 5
(Standard #) CC.912.G.SRT. 3
(Standard #) CC.912.G.SRT. 3
(Resource) –
“Similar Triangle
Investigation”
(Resource)
Worksheet:
“Triangle Similarity”
http://curriculum.austi “Triangle Similarity
nisd.org/math/hs/geo/ Through Proportional
documents/4_6wks/M
Sides Homework”
_Geo_4th_6wks_RS
C_Triangle_similarity
_Activity.pdf
“Triangle
Similarity
Investigation
Conclusion and
Notes”
(Resource)
Worksheet:
“AA Discovery”
“AA Similarity Postulate,
SSS, SAS Similarity
Theorems”
“AA Postulate, SSS, SAS
Theorems and
Homework”
(Resource)
Worksheet:
“AA Discovery”
“AA Similarity Postulate,
SSS, SAS Similarity
Theorems”
“AA Postulate, SSS, SAS
Theorems and Homework”
25 days
SWBAT: find missing
sides of triangles
using similarity
(Standard #) CC.912.G.SRT. 5
(Resource)
Worksheet:
“Proportions and
Similar Triangles”
“Height
Investigation”
“Homework
Proportions and
Similar Triangles”
Review
Assessment
Standard #) CC.912.G.SRT. 5
(Standard #) CC.912.G.SRT. 3
Standard #) CC.912.G.SRT. 5
(Standard #) CC.912.G.SRT. 3
SWBAT: discover
triangle proportionality
theorems and use to
prove the Pythagorean
Theorem
Week Two
(Standard #) CC.912.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.912.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.912.G.SRT. 4
(Resource)
Worksheet:
“Perimeter and Area
of Similar Polygons
Discovery-PracticeHomework”
Ratio of Lengths,
Areas Additional
Practice
“Ratio of Perimeter
and Area Quiz”
SWBAT:
understand dilation
images of figures
Week Three
(Standard #) CC.912.G.SRT. 1
Independent
practice/review
(Standard #)
CC.9-12.G.SRT. 5
CC.9-12.G.SRT. 4
CC.9-12.G.SRT. 1
ASSESSMENT
(Standard #)
CC.9-12.G.SRT. 5
CC.9-12.G.SRT. 4
CC.9-12.G.SRT. 1
(Resource)
(Resource)
Worksheet:
“Investigating
Properties of
Dilations-PracticeHomework”
Extension Activity:
“Drawing Dilations”
CFA:
“ Dilations”
SWBAT: prove theorems
about triangle similarity
through investigation
(Standard #)CC.912.G.SRT.4
SWBAT: identify
geometric mean and
prove altitudes and
legs are geometric
means of right
triangles
(Resource)
(Resource
“Altitude Proportionality
in Right Triangles”
notecard activity- 9.1
Honors Geom. book
(Standard #)CC.912.G.SRT.4
(Resource)
“Geometric Mean
Proportionality”
“Geometric Mean
Proportionality Part2 and Homework”
SWBAT: discover
special right
triangles properties
Week Four
(Standard #)CC.912.G.SRT.6
(Resource)
“Special Right
Triangle
Relationships
Investigation”
SWBAT: use
trigonometric ratios to
solve right triangles
and recognize the
relationship between
the sine and cosine of
complementary angles
of a right triangle
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.912.G.SRT.8
(Standard #)CC.912.G.SRT.8
Resource:
section 9.4 – honors Worksheet:
geo book
“Intro to Trig Ratios”
“Intro to Trig Ratios
Practice”
“Intro to Trig Ratios
Homework”
C.9-12.G.SRT.7
(Resource)
Independent
Practice/Review
(Standard #)CC.912.G.SRT.6
(Standard #)CC.912.G.SRT.8
(Standard #)CC.912.G.SRT.4
Assessment
Week Five
SWBAT: solve
application
problems using
trigonometric
ratios, including
angles of elevation
and depression
(Standard #) CC.912.G.SRT.8
SWBAT: solve
application problems
using trigonometric
ratios, including
angles of elevation
and depression
Assessment
UNIT REVIEW
(Standard #)
(Standard #)
(Resource)
(Resource)
(Standard #)
(Standard #) CC.912.G.SRT.8
(Resource)
(Resource)
Worksheet:
“Solving Word
Problems Using
Trig Ratios”
Solving
Trig Performance
Task”
Week Six
SWBAT: discover and
apply the inverse
functions to
trigonometric ratios
(Resource)
Worksheets:
“Inverse Trig Ratio
Discovery and Practice”
“Inverse Trig Ratio
Homework”
UNIT REVIEW
UNIT TEST
(Objective)
(Objective)
(Objective)
(Standard #)
(Standard #)
(Standard #)
(Standard #)
(Standard #)
(Resource)
(Resource)
(Resource)
(Resource)
(Resource)
* Schedule assessment based on PLC discussion and data
Geometry, Unit 5 – “Circles and Other Conic Sections” ; 4 weeks + 1 week for re-teaching/enrichment
Week One
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
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
Arcs and central angles
Derive: Area of sectors
(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.
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 #)
25 days
Radian Measure
(activity)
(Objective)
SWBAT: develop an
understanding of
radian measure as
compared to degree
measure
(Standard #)
CC.9-12.G.C.5
(Resource)
CC.9-12.G.C.5
Define parts of
circles
(Standard #)
CC.9-12.G.C.1
(Standard #)
CC.9-12.G.C.2
(Resource)
 See Unit #1
or Teacher
selected.
 Geom. “A”
book
(McDougal
Littell),
Chps. 1, 10
&11
(Resource)
 See Unit #1 or
Teacher
selected.
 Geom. “A”
book
(McDougal
Litell), Chps.
1, 10 &11
(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
(Resource)
 See Unit #1 or
Teacher
selected.
 Geom. “A”
book
(McDougal
Litell), Chps. 1,
10 &11
Teacher generated
or KUTA
Radian Measure
CFA
Inscribed angles,
intercepted arcs,
(Activity)
Tangents
CFA?
Week Two
(Objective)
SWBAT: convert
between radian
measure and degree
measure
(Objective)
SWBAT: find measure
of inscribed angles
and inscribed
polygons
(Standard #)
(Standard #)
CC.9-12.G.C.5
CC.9-12.G.C.2
(Resource)
Teacher generated
or KUTA
(Resource)
Geom. “A” book
(McDougal Litell),
Activity 10.3 (p. 612)
– “Investigating
Inscribed Angles”
Derive: arc
intercepted by an
angle is proportional
to the radius
(investigation)
(Objective)
SWBAT: use properties of
tangents and solve
problems involving
circumscribed polygons
Identify tangent, use
tangent to find missing
values
(Objective)
SWBAT: derive a
proportion relating the
intercepted arc to the
radius of a circle
(Standard #)
(Standard #)
CC.9-12.G.C.2
CC.9-12.G.C.2
(Resource)
Geom. “A” book
(McDougal Litell), 10.1 –
p. 595 or
Kuta software
(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
Apply properties of
angles
Week Three
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
Construct: inscribed and Equation of a circle
circumscribed polygons. (investigation)
Use Pythagorean
Assessment
Theorem
(project/choice based)
(Objective)
(Objective)
SWBAT: construct an (Objective)
SWBAT: derive the
inscribe and
SWBAT: construct an
equation of a circle
circumscribed triangle inscribe and
given the center and
and apply properties
circumscribed polygons
radius using the
of the elements
and apply properties of
Pythagorean Theorem.
(angles, cords, ect.) of the elements (angles,
a circle
cords, ect.) of a circle
Graph a circle on the
(Standard #)
coordinate plane
CC.9-12.G.C.3
(Standard #)
CC.9-12.G.C.3
(Standard #)
(Resource)
CC.9-12.G.GPE.1
* See Binder –
(Resource)
Discovering
(in Binder)
(Resource)
Geometry,
Challenging = Honors
Teacher generated or
“Condensed Lesson
Geom. book - p.565,
KUTA
3.7” (in Binder)
“Exploration &
Extension” –
Circumscribed Polygons
and Circles
Easier = Honors Geom.
book, p. 478 – “Making
Conjectures About
Circles”
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
Week Four
Find the center and
radius
Use Complete the
square
(Objective)
SWBAT: find the
center and radius of
a circle using
complete the square
(Standard #)
Prove Simple
geometric theorems
algebraically
CC.9-12.G.GPE.1
Prove/disprove 4
points make a
rectangle
Prove simple geometric
theorems algebraically
Derive equation of a
parabola given focus
and directrix
CFA
(Objective)
SWBAT: prove simple
geometric theorems
algebraically in the
coordinate plane
(Resource)
Geom. “A” book
(McDougal Litell),
Prove/disprove a
10.6 – “Equations of given point lies on a
Circles”
given circle
(Objective)
SWBAT: prove simple
geometric theorems
algebraically in the
coordinate plane
Prove/disprove 4 points
make a rectangle
(Objective)
SWBAT: derive the
equation of a parabola
given the focus and
directrix.
Derive/apply
equation of a
parabola given
focus and directrix
(Objective)
(Standard #)
SWBAT: derive the
equation of a
parabola given the
focus and directrix.
CC.9-12.G.GPE.2
(Standard #)
(Resource)
Prove/disprove a given
point lies on a given circle
CC.9-12.G.GPE.2
(Resource)
(Standard #)
Week Five
(Standard #)
CC.9-12.G.GPE.4
CC.9-12.G.GPE.4
(Resource)
(Resource)
(Objective)
(Objective)
(Objective)
(Objective)
(Objective)
(Standard #)
(Standard #)
(Standard #)
(Standard #)
(Standard #)
(Resource)
(Resource)
(Resource)
(Resource)
(Resource)
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.
SWBAT: discover the
volume formula for
prisms and cylinders
Week One
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)
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
http://math.kendallhunt.com Textbooks or
/documents/dg4/Condensed *Honors Geom.
Lessons/DG4CL_895_10.pdf
Book, 12.4/12.5 –
pages 607 – 618,
(See Teacher Notes & Binder “Volume of Prisms
for additional
and Cylinders”
suggestions/activities.)
SWBAT: Use volume
formulas to find
missing dimensions of
prisms, cylinders,
pyramids and cones
SWBAT: Use volume
formulas to find missing
dimensions of prisms,,
cylinders, pyramids and
cones
SWBAT: Use volume
formulas to find
missing dimensions of
prisms, cylinders,
pyramids and cones
Assessment
(Standard #)
CC.9-12.G.GMD.3
Week Three
Week Two
Teacher generated
(Standard #)
CC.9-12.G.GMD.3
(Standard #)
CC.9-12.G.GMD.3
(Standard #)
CC.9-12.G.GMD.3
(Resource)
Kuta Software
Geometry Textbooks
(Resource)
Kuta Software
Geometry Textbooks
(Resource)
Kuta Software
Geometry Textbooks
*Honors Geom. Book, *Honors Geom. Book,
12.4/12.5 – pages 607 12.4/12.5 – pages 607 –
– 618
618 (in Binder)
(in Binder)
*Honors Geom.book,
12.4/12.5 – pages 607
– 618 (in Binder)
SWBAT: Use volume
formulas to find
missing dimensions of
spheres
SWBAT: determine
whether solids are
congruent or similar
SWBAT: use scale
factors to determine if
two solids are similar
(Standard #)
CC.9-12.G.GMD.3
(Standard #)
CC.9-12.G.GMD.1
(Resource)
Kuta software
Geometry Textbook
*Honors Geom .book,
12.6 – pages 620-625
(in Binder)
(Resource)
-Honors Geom. Book,
12.7, p. 626-628:
“Extended Application:
Similar Solids” or
- Kuta Software
SWBAT: construct
solids that are similar
(Standard #)
CC.9-12.G.GMD.1
(Resource)
Kuta software
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)
(Resource)
Investigating with
Relational GeoSolids
or
Big Ideas Geometry,
11.8 - p. 647,
“Exploration #2” (See
Binder for copy)
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
Week Five
Week Four
SWBAT: determine
when different solids
have the same volume
(Standard #)
CC.9-12.G.GMD.1
(Resource)
SWBAT: model volume
based on real world
applications
*include unit
conversions
(Standard #)
CC.9-12.G.GMD.2
Teacher generated
(Resource)
Teacher generated or
KUTA
SWBAT:
SURFACE AREA
INTERDISCIPLANRY * Surface Area is
UNIT….to review and optional – It is NOT in
enrich
the CT Common Core
curriculum, but the team
(ex) - Population
felt that a review was
Density
worthwhile either at the
Water Displacement
beginning or end of Unit
Maps
#6
(Standard #)
(Resource)
** See “Teacher
Notes”(in binder) for
details
SWBAT: model volume
based on real world
applications
Unit REVIEW
UNIT ASSESSMENT
SURFACE AREA
(Objective)
(Objective)
* 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
(Standard #)
(Standard #)
(Resource)
(Resource)
(Standard #)
CC.9-12.G.GMD.2
(Resource)
Teacher generated or
KUTA
** See “Teacher
Notes”( in Binder) for
details
Geometry, Unit 7 – “Applications of Probability”; 3 weeks + 1 week for re-teaching/enrichment
SWBAT calculate
experimental and
theoretical
probability.
Week One
(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
SWBAT create sample
spaces using various
methods.
(CC.9-12.S.CP.1)
Glenco p 899-901
Group
SWBAT create sample
spaces, calculate
experimental and
theoretical probability.
Independent Practice:
(CC.9-12.S.CP.1)
(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)
Algebra I (PH green), p
219, sec 4-6 (in Binder)
HW, p 214 Alg. I
book (green PH)
(Resource)
Algebra I (green PH), p
219, sec. 4-6 (in Binder)
Big Ideas Algebra II,
10.2, p 545
Big Ideas Algebra II, 10.2, (See Binder)
p 545 (see Binder)
20 days
Quiz
(CC.9-12.S.CP.1)
(Resource)
Teacher generated
Or
(See Binder for premade Unit #7, Quiz
1.)
Week Two
Week Three
SWBAT calculate
conditional
probability utilizing
the formula P (A and
B) / P(B)
SWBAT calculate
conditional probability
utilizing the formula P
(A and B) / P(B)
SWBAT calculate
conditional probability
utilizing the formula P (A
and B) / P(B)
SWBAT calculate
conditional probability
utilizing the formula P
(A and B) / P(B)
Quiz
(see Binder) (Big
Ideas Algebra II, p.
562, #1-9
(CC.9-12.S.CP.3)
(CC.9-12.S.CP.3)
(CC.9-12.S.CP.3)
(CC.9-12.S.CP.3)
(CC.9-12.S.CP.3)
(Resource)
CCGPS,
“Introduction to
Conditional
Probability”, part 2,
p. 20
(See Binder for ALL
CCGPS activities)
(Resource)
CCGPS, “A Formula
for Conditional
Probability”, part 3, p.
23
(See Binder for ALL
CCGPS activities)
(Resource)
CCGPS, “Box Office”,
part 4, p. 24
(See Binder for ALL
CCGPS activities)
(Resource)
Ice Cream”, part 5, p.
25
(See Binder for ALL
CCGPS activities)
SWBAT calculate
probabilities of
disjoint and
overlapping events.
SWBAT design a
Review for Assessment
simulation using a
random digit generator (Resource)
teacher generated OR
(CC.9-12.S.CP.6)
Big Ideas Algebra II, p.
586-7, 10.1, 10.2 & 10.4
P(AorB)= P(A) +
(See Binder)
P(B) – P(AandB)
(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)
(Resource)
Big Ideas Algebra II,
sec. 10.4, p. 563 (See
Binder)
Review for Assessment
(Resource)
Assessment.
Teacher generated
(Resource)
teacher generated OR
Big Ideas Algebra II, p.
586-7, 10.1, 10.2 &
10.4
(See Binder)
(Resource)
Teacher generated
Week Four
SWBAT construct
and interpret twoway frequency
tables of data when
two categories are
associated with each
object being
classified.
Sampling Project
(CC.9-12.S.CP.4)
(Resource)
(Resource)
Big Ideas Algebra II,
sec. 10.3, p. 553-560
, (See Binder)
Sampling Project or
review for Cumulative
Final
Sampling Project or
review for Cumulative
Final
Sampling Project or
review for
Cumulative Final
PH (green)Algebra I,
p. 218 Technology
Lab
(Standard #)
(Standard #)
(Standard #)
(Standard #)
(Resource)
(Resource)
(Resource)