Download Andrew Maneggia Superintendent Honors Geometry Curriculum

Honors Geometry
Curriculum Guide
Rockville High School
Developed by:
Len Ertel
Don McGrath
Donald McGrath
Department Head
Jane Keleher
Mathematics Coordinator
Edmund J. Nocera, Ph.D.
Assistant Superintendent
Andrew Maneggia
Superintendent
Vernon, Connecticut
1998
Honors Geometry
Course Philosophy
Honors Geometry is designed to Provide the students with a formal, rigorous treatment
of the fundamental concepts of Euclidean Geometry. Algebra skills developed in the
previous course will be integrated throughout the curriculum. The inductive as well as
the deductive thought processes will be employed with strong emphasis on logical
sequential reasoning.
Honors Geometry
Goals
The student will be able to:
•
communicate the concepts of geometry using appropriate terminology.
•
understand the axiomatic structure of Euclidean geometry.
•
interrelate the concepts of algebra and geometry.
•
visualize and work with 2 and 3 dimensional figures.
•
distinguish between parallel lines, intersecting lines and skew lines.
•
determine the measures of arcs and angles in various configurations.
•
categorize figures in terms of congruence or similarity.
•
identify and find the areas and volumes of geometric shapes and solids.
•
apply geometric concepts to solve practical problems.
Code Sheet
(To be used in conjunction with the "Suggestions" column.)
SG
Study Guide
TE
Teacher Edition
PMS
Practice Master Sheet
RB
Resource Book
RBDM
Resource Book Diagram Master
RBP
Resource Book Practice
RBEA
Resource Book Enrichment Activity
Honors Geometry
Topical Outline
FIRST SEMESTER
1.0
Points, Lines, Planes, Angles
1. 1
1. 2
1.3
1.4
2.0
Deductive Reasoning
2. 1
2.2
2.3
2.4
2.5
3.0
Conditional Statements and Converses
Properties from Algebra and Congruence
Proving Theorems
Theorems about Angles nd Perpendicular Lines
Planning a Proof
Parallel Lines, Planes and Polygons
3.1
3.2
3.3
3.4
3.5
3.6
4.0
Points, Lines and Planes
Segments, Rays and Distance
Angles
Postulates and Theorems
Definitions
Properties of Parallel Lines
Proving Lines Parallel
Angles of a Triangle
Angles of a Polygon
Inductive and Deductive Reasoning
Congruent Triangles
4.1
4.2
4.3
4.4
4.5
4.6
4.7
Congruent Figures
Ways to Prove Triangles Congruent (A)
Using Congruent Triangles
The Isosceles Triangles Theorems
Ways to Prove Triangles Congruent (B)
Using More Than One Pair of Congruent Triangles
Medians, Altitudes and Perpendicular Bisectors
5.0
Quadrilaterals
5. 1
5.2
5.3
5.4
5.5
6.0
Reasoning and Indirect Proof
6. 1
6.2
7.0
Parallelograms and Their Properties
Ways of Proving that Quadrilaterals are Parallelograms
Theorems Involving Parallel Lines and Quadrilaterals
Special Parallelograms
Trapezoids
Inverses and Contrapositives
Indirect Proof
Similar Polygons
7. 1
7.2
7.3
7.4
7.5
Ratio and Proportion
Properties of Proportions
Similar Polygons
Similar Triangles
Proportional Segments in Similar Triangles
SECOND SEMESTER
8.0
Right Triangles and Trigonometry
8.1
8.2
8.3
8.4
8.5
9.0
Right Triangle Similarity
The Pythagorean Theorem and Its Converse
Special Right Triangles
The Sine, Cosine and Tangent Ratios
Applications of Right Triangle Trigonometry
Circles
9.1
9.2
9.3
9.4
9.5
9.6
Basic Terms
Tangents
Arcs
Chords
Angles
Circles and Lengths of Segments
10.0 Areas and lengths in Plane Figures
10.1
10.2
10.3
10.4
10.5
10.6
Areas of Rectangles
Areas of Parallelograms, Triangles and Rhombuses
Areas of Trapezoids
Areas of Regular Polygons
Circumference and Areas of Circles
Arc Length and Sector Areas
11.0 Areas and Volume of Solids
11.1
11.2
II. 3
11.4
11.5
Prisms
Pyramids
Cylinders and Cones
Spheres
Areas and Volumes of Similar Solids
12.0 Coordinate Geometry and Formulas
12.1
12.2
12.3
12.4
12.5
The Distance Formula
Slope of a Line
Parallel and Perpendicular Lines
Vectors
The Midpoint Formula
13 .0 Constructions (Optional)
13.1
13.2
13 .3
13 .4
13.5
Seven Basic Constructions
Concurrent Lines
Circles
Special Segments
Locus Problems
TEXT:
Geometry
PUBLISHER:
McDougal Litte11lHoughton Mifflin, copyright 1997
TOPIC
OBJECTIVE
REF
AUTHOR: Jurgensen/Brown/Jurgensen
SUGGESTIONS
The student will be able to:
1.0
TIMELINE
8 Period Day
Block
SG pp. 112
TE ch. 1 pp. c, d
TE pp. T74, 75
Visual 1
1
'h
SG pp. 3/4
TE p. TIS
PMS 1 RBP 1
Visuals A1B/2
RBDM 1
2
1
1.3
pp. 11-16
SG pp. 5/6
TE pp. TI5176
Visuals C/2
2
1.4
pp. 17-22
SG pp. 7/8
TE pp. T76177
PMS2 RBP2
Visuals C/4
2
1
1.5
pp.22-26
SG pp. 9/10
TE pp. T77178
PMS3 RBP3
1
'h
2
1
Points, Lines, Planes, Angles
1.1
Points, Lines, and Planes
1.1.1
Use the tenns equidistant, point, and line
1.1.2
Draw representations of points and lines.
1.1.3
Use and draw representations of points, lines
and planes.
1.1.4
1.2
Segments, Rays and Distance
1.2.1
1.1
pp. 1-4
1.2
pp. 5-10
Use tenns collinear, coplanar. and
intersection.
Use correct symbols for lines, segments,
rays and distances.
1.2.2
Find distances.
1.2.3
State and apply the ruler postulate.
1.2.4
State and apply the segment addition
postulate.
1.3
1.4
Angles
Postulates and Theorems
1.3.1
Name angles and find their measures.
1.3.2
State and use the angle addition postulate.
1.4.1
Use postulates and theorems relating points,
lines, and planes.
Visuals Af2
Unit 1 Evaluations
PMS4 RBP4
TEXT:
Geometry
PUBLISHER:
TOPIC
McDougal LittelllHoughton Mifflin, copyright 1997
OBJECTIVE
AUTHOR: Jurgensen/Brown/Jurgensen
8 Period Day
The student will be able to:
2.0
TIMELINE
SUGGESTIONS
REF
Block
Deductive Reasoning
2.1
Exploring Whole Numbers
2.1.1
Recognize the hypothesis and conclusion of a
conditional statement.
2.1.2
State the converse of a conditional.
2.1.3
Use counter-examples to disprove statements.
2.1.4
Understand the meaning of biconditional
2.1
pp. 33-35
SO pp. 11/12
TE pp. T79/80
TE ch. 2 pp. 31C/31D
PMS 5
Visual 3
2
RB computer act. p. 237
RBDM2
statements.
2.2
2.3
2.4
Properties from Algebra and
Congruence
2.2.1
Proving Theorems
2.3.1
Theorems About Angles and
Use the properties from algebra and
congruence in proof.
2.2
pp.3743
Apply the midpoint theorem and angle
2.3
bisector theorem.
pp. 4347
SO pp. 13/14
TE p. 80
PMS6
Visual 3
2
1
SO pp. T80/81
PMS7 RBP5
Visual 3
1
'h
2.3.2
Apply theorems that can be used in proofs.
2.4.1
Apply theorems about complementary,
supplementary. and vertical angles.
2.4
pp.50-54
SO pp. 17-18
TE p. T81
PMS 8
Visua14
1 'h
1
2.4.2
Apply defmitions and theorems about
perpendicular lines.
2.5
pp.56-60
SO pp. 19-20
TEp. T82
RBP6
Visuals AfC/4
1 'h
1
Perpendicular Lines
TEXT:
Geometry
PUBLISHER:
OBJECTIVE
TOPIC
AUTHOR: Jurgensen/Brown/Jurgensen
McDougal LittelllHoughton Mifflin, copyright 1997
The student will be able to:
2.5
Planning a Proof
2.5.1
2.5.2
State and apply theorems about angles that
are supplements and complements of
congruent angles.
2.6
pp. 60-66
SG pp. 21-22
TE p. T82
PMS9 RBP7
Visual 4
8 Period Day
Block
3
1 'h
Plan and write a proof in 2-column form.
RBP8
Unit 2 Evaluations
3.0
TIMELINE
SUGGESTIONS
REF
Parallel Lines, Planes and Polygons
3.1
Definitions
3.1.1
Distinguish between intersecting, parallel,
and skew lines.
3.1.2
State and apply the theorem about the intersection of two parallel planes by a third
3.1
pp.73-78
SG pp. 23-24
TE pp. T83-84
RBEA pp. 207-209
2
RB Computer Act. pp. 238-239
plane.
3.2
Properties of Parallel Lines
3.1.3
Identify angles formed when two lines are
cut by a transversal.
3.2.1
State and apply a postulate and theorems
about properties of parallel lines.
3.2
pp. 78-82
SG pp. 25-28
TE p. T84
PMS 12
VisualS
2
RB VanHiele Act. 1
3.3
Proving Lines Parallel
3.3.1
State and apply the postulates and theorems
proving lines parallel.
3.3.2
State and apply the theorems about a parallel
and perpendicular to a given line through a
point outside the line.
3.3
pp. 83-88
SG pp. 29-32
TE pp. T84-85
TE ch. 3 pp. 71C/D
PMS 13 RBP9
VisualS
2
TEXT:
Geometry
PUBLISHER:
TOPIC
McDougal LittelllHoughton Mifflin, copyright 1997
AUTHOR: JurgensenIBrownfJurgensen
REF
OBJECTIVE
SUGGESTIONS
The student will be able to:
3.4
3.5
3.6
Angles of a Triangle
Angles of a Polygon
Inductive and Deductive
8 Period Day
3.4.1
Classify triangles according to sides and
angles.
3.4.2
State and apply theorems about the sum of
the measures of the angles of a triangle.
3.4.3
State and apply the theorem about the
exterior measure of a triangle.
3.5.1
Recognize and name convex polygons and
regular polygons.
3.5.2
Find the measures of the interior angles and
exterior angles of a convex polygon.
3.6.1
Understand and use inductive and deductive
reasoning.
Reasoning
3.4
pp. 93-99
SG pp. 33-34
TE p. T85
Block
2
Visua16
RB VanHie1e Act. 1
3.5
pp. 101-105
SG pp. 35-36
TE p. T86
PMS 14
2
1
SG pp. 37-38
TE pp. T86-87
PMS 16 RBP 11
2
1
RBP 12/13
2
1
Do not do coordinate geometry
1
'h
2
1
Visua16
3.6
pp. 106-109
Unit 3 Evaluations
4.0
TIMELINE
Congruent Triangles
4.1
Congruent Figures
4.1.1
Identify corresponding parts
in a congruence.
4.1
pp. 117-121
SG pp. 39-40
TE pp. T87-88
TE ch. 4 pp. 115c/d
Visual 7
RBE p. 210
4.2
Ways to Prove Triangles
Congruent (A)
4.2.1
Prove triangles congruent using the S.S.S.,
4.2
S.A.S. and A.S.A. postulates.
pp. 122-127
SG pp. 41-42
TE pp. T88/89
PMS 17
Visua17
TEXT:
Geometry
PUBLISHER:
TOPIC
McDougal Litte11lHoughton Mifflin, copyright 1997
OBJECTIVE
AUTHOR:
REF
JurgenseniBrown/Jurgensen
TIMELINE
SUGGESTIONS
The student will be able to:
8 Period Day
Block
4.3
Use Congruent Figures
4.3.1
Deduce in fonnation about segments and
angles after proving two triangles congruent.
4.3
pp. 127-132
SG pp. 43-46
TE p. T89
PMS 18 RBP 14
Visuals NDfFI7
2
1
4.4
Isosceles Triangles Theorems
4.4.1
Apply theorems and corollaries about
isosceles triangles.
4.4
pp. 134-139
SG pp. 47-50
TE p. T90
VisualS
2
I
4.5
Ways to Prove Triangles
4.5.1
Use the A.A.S. theorem to prove two
triangles congruent and the HL theorem to
4.5
pp. 140-145
SG pp. 51-54
TE pp. T90f91
PRM 19 RBP 15
Visual 8
2
1
Congruent (B)
prove right triangles congruent.
4.6
(Optional)
4.6.1
Prove two triangles congruent by first
proving two other triangles congruent.
4.6
pp. 146-151
SG pp. 55-56
TE p. T91
PMS 20
Visual 9
1
'12
4.7.1
Apply the definitions of the medians,
altitudes and perpendicular bisectors of a
triangle.
4.7
pp. 152-158
SG pp. 57-58
TE pp. T91-92
PMS 21 RBP 16
Visua19
2
1
4.7.2
State and apply the theorem and converse
RBP 17
2
1
Using More than One Pair of
Congruent Triangles
4.7
Medians, Altitudes, and
Perpendicular Bisectors
about a point on the perpendicular bisector
of a segment.
4.7.3
Unit 4 Evaluation
State and apply the theorem and converse
about a point on an angle bisector.
TEXT:
Geometry
PUBLISHER:
TOPIC
McDougal LitteWHoughton Mifflin, copyright 1997
OBJECTIVE
AUTHOR: Jurgensen/Brown/Jurgensen
REF
SUGGESTIONS
The student will be able to:
5.0
TIMELINE
8 Period Day
Block
Ph
1
Quadrilaterals
5.1
Parallelograms and Their
Properties
5.1.1
5.1.2
Apply the defmition of a parallelogram.
5.1
pp. 167-171
Apply theorems about the properties of
parallelograms.
SG pp. 59-60
TE pp. T92193
TE ch. 5 pp. 165cld
Visual 10
RBEA pp. 211-215
RB Computer Act. p. 242
RB VanHiele Act. 1
5.2
Ways of Proving that
5.2.1
5.3
5.4
5.5
Theorems Involving Parallel
Lines and Quadrilaterals
Special Parallelograms
Trapezoids
Unit 5 Evaluations
Ph
Apply four theorems and five methods to
prove quadrilaterals are parallelograms.
5.2
pp. 172-176
5.3.1
Apply the three theorems about parallel
lines.
5.3
pp. 177-182
5.3.2
Apply the midpoint theorem for triangles.
SG pp. 63164
TE p. T94
PMS 26 RBP 18
Visual 10
5.4.1
Apply the definitions and identify the special
properties of a rectangle, a rhombus, and a
square.
5.4
pp. 184-189
2
5.4.2
Detennine whether a parallelogram is a
rectangle, rhombus, or square.
SG pp. 65-66
TE pp. T94195
PMS 27
Visual!1
RB VanHiele Act. 2
5.5.1
Apply two theorems about the properties of a
trapezoid and an isosceles trapezoid.
5.5
pp. 190-194
SG pp. 67168
TE pp. T95196
PMS 28 RBP 19
Visual 11
RB VanHiele Act. 3
2
RBP 20121
2
Quadrilaterals are
Parallelograms
Do not do proofs
SG pp. 61-62
TE pp. T93194
PMS 25
Visual 10
'h
1
1
TEXT:
Geometry
PUBLISHER:
McDougal Litte11lHoughton Mifflin, copyright 1997
TOPIC
OBJECTIVE
AUTHOR: Jurgensen/Brown/Jurgensen
REF
The student will be able to:
6.0
TIMELINE
SUGGESTIONS
8 Period Day
Block
SG pp. 71172
TE pp. T97/98
PMS 31 RBEAp.216
2
1
SG pp. 73174
TE pp. T98/99
TE ch. 6 pp. 201c/d
PMS 32
2
Reasoning and Indirect Proof
6.1
Inverses and Contrapositives
6.1.1
6.1.2
Write the inverse and contrapositive of a
conditional statement.
6.2
pp.208-212
Use Venn diagrams to determine the truth of
the conclusion of a conditional.
6.2
Indirect Proof
6.2.1
Write indirect proof in paragraph form.
6.3
pp.214
Unit 6 Evaluation
7.0
1
'h
2
1
Similar Polygons
7.1
Ratio and Proportion
7.1.1
Identify and write ratios and proportions.
7.1.2
Express ratios in simplest form.
7.1
pp.241-244
SG pp. 79/80
TE p. TlOI
Visua114
RBEAp.217
RB Computer Act. p. 243
7.2
Properties of Proportions
7.2.1
Solve for an unknown in a given proportion.
7.2
pp. 245-248
7.2.2
Express proportions in equivalent forms.
SG pp. 81/82
TE pp. TlOllI02
PMS 37
2
Visual 14
7.3
Similar Polygons
7.3.1
State and apply the properties of similar
polygons.
7.3
pp.248-252
SG pp. 83/84
TE pp. TI02/103
TE ch. 7 pp. 239a1b
PMS 38 RBP 25
Visual 14
2
1
TEXT:
Geometry
PUBLISHER:
TOPIC
MCDougal Littell/Houghton Mifflin, copyright 1997
OBJECTIVE
REF
AUTHOR: Jurgensen/Brown/Jurgensen
SUGGESTIONS
The student will be able to:
7.4
Similar Triangles
7.4.1
Prove triangles similar with the A.A.
similarity postulate.
7.4.2
Use similar triangles to deduce information
about segments or angles.
Proportional Segments in
Similar Triangles
Unit 7 Evaluations
Mid Term Exam
8 Period Day
Block
7.4
pp.254-260
SG pp. 85/86
TE pp. Tl03/104
PMS 39
Visuals E, 15
Ph
I
7.5
pp.263-267
SG pp. 87/88
TEp. Tl04
PMS 40 RBP26
Visuals E. 15
Ph
I
S.S.S. similarity theorems.
7.5.1
Apply the triangle proportionality theorem
and its corollary.
7.6
pp.269-273
2
I
7.5.2
State and apply the triangle angle bisector
theorem.
SG pp. 89/90
TE pp. T-I04/106
PMS 41 RBP27
Visual 15
PMS 42 RBP 28/29
2
I
7.4.3
7.5
TIMELINE
Prove triangles, similar with the S.A.S. and
TEXT:
PUBLISHER:
Geometry
McDougal LitteWHoughton Mifflin, copyright 1997
TOPIC
OBJECTIVE
REF
AUTHOR: Jurgensen/Brown/Jurgensen
The student will be able to:
8,0
Right Triangles and Trigonometry
8.1
8 Period Day
Block
.
Right Triangle Similarity
8.1.1
Determine the geometric mean between two
numbers.
8.2
TIMELINE
SUGGESTIONS
The Pythagorean Theorem
and It's Converse
8.1.2
State and apply the relationships that exist
when the altitude is drawn to the hypotenuse
of a right triangle.
8.2.1
State and apply the Pythagorean theorem.
8.2.2
State and apply the converse of the
Pythagorean theorem.
8.2.3
Recognize familiar right triangle lengths.
8.1
pp.285-290
SG pp. 91192
TE pp. Tl061107
Visual 16
RBEA pp. 218-219
RB Computer Act. pp. 244·249
2
I
8.2
pp.290-294
SG pp. 93194
TE p. Tl07
TE ch. 8 pp. 283cld
PMS 43 RBP31
2
1
2
1
Visuals F, 16
8.3
Special Right Triangles
8.3.1
Determine lengths of sides of 45°-45°_90°
and 30°-60°_90° triangles.
8.4
pp.3OO-303
SG pp. 97198
TE pp. Tl081109
PMS 44 RBP32
Visual 16
8.4
The Sine, Cosine and Tangent
8.4.1
Define the sine, cosine, and tangent ratios
for the acute angles of a right triangle.
8.5
pp.305-310
8.4.2
Solve right triangle problems using the sine,
cosine, and tangent ratios.
8.6
pp. 312-316
SG pp. 99-102
TE p. Tl09
Visual 17
TE pp. Tl091110
PMS 45
8.5.1
Solve right triangle problems by correct
selection and use of the sine, cosine and
tangent ratios.
8.7
pp.317-320
Ratios
8.5
Applications of Right
Triangle Trigonometry
Unit 8 Evaluation
'h
2
I
SG pp. 103-106
TE pp. TllOllll
PMS 46 RBP 37
Visual 17
2
I
PMS 49 RBP34
2
I
TEXT:
Geometry
PUBLISHER:
McDougal LitteWHoughton Mifflin, copyright 1997
OBJECTIVE
TOPIC
AUTHOR: Jurgensen/Brown/Jurgensen
8 Period Day
The student will be able to:
9.0
TIMELINE
SUGGESTIONS
REF
Block
Circles
9.1
Basic Terms
9.1.1
Define a circle and a sphere and the terms
related to them.
9.2
Tangents
9.1.2
Recognize inscribed polygons and
circumscribed circles.
9.2.1
Apply theorems that relate tangents and
radii.
9.2.2
9.1
pp. 329-331
SO pp. 107/108
TE pp. T1111112
Visuals D, 18
RBEA 220-221
RB computer Act. pp. 250-253
9.2
pp. 333
SO pp. 109/110
TE pp. T112/113
PMS 50
Visual 18
Recognize circumscribed polygons and
'h
2
inscribed circles.
Reteaching Activities Workbook
9.2.3
pp.68-76
Identify lines that common tangents to two
circles.
9.3
9.4
Arcs
Chords
9.2.4
Identify the tangent relationships of circles.
9.3.1
Distinguish the different types of arcs.
9.3.2
Determine central angles.
9.3.3
Determine the measures of arcs and their
related central angles.
9.4.1
Apply three theorems that state properties of
chords and arcs of a circle and congruent
circles.
9.3
pp. 339-343
SO pp. 1111112
TE p. Tll3
Visual 18
2
9.4
pp.344-348
SO pp. 113/114
TE pp. T113/114
PMS 51 RBP35
Visual 18
2
1
TEXT:
Geometry
PUBLISHER:
McDougal LittelllHoughton Mifflin, copyright 1997
OBJECTIVE
TOPIC
AUTHOR: Jurgensen/Brown/Jurgensen
8 Period Day
The student will be able to:
9.5
Angles
9.5.1
Identify inscnbed angles and solve problems
with the four theorems involving inscribed
angles.
TlMELINE
SUGGESTIONS
REF
9.5-9.6
pp. 357-361
SO pp. 115/116
TEp. T114
PMS 52
Block
2
Visua119
9.5.2
9.5.3
Determine measures of angles formed by
chords, secants, and tangents.
Solve problems involving the angles of a
circle.
9.6
Circles and the Lengths of
Segments
9.6.1
Solve problems involving the lengths of
chords, secant segments, and tangent
segments.
9.7
pp. 361-365
SO pp. 117/118
TE pp. T114/115
TE ch. 9 pp. 327c/d
PMS 53
Visual 19
2
SO pp. 119/120
TE pp. T115/116
PMS 54 RBP 36
2
I
Visuals G, 19
Unit 9 Evaluations
PMS 55 RBP57
2
SO pp. 137/138
TE pp. Tl22/123
Visual 23 RBEA pp. 225-227
2
I
10.0 Areas of Plane Figures
10.1 Areas of Polygons
11.1
pp.423-427
10.1.1
State and apply the formulas for finding
areas of squares and rectangles.
10.1.2
Apply the area addition postulate.
RB Computer Act. p. 255
2
10.1.3
State and apply the fonnulas for finding
SO pp. 139/140
TE p. Tl23 PMS 64
Visuals H. 23
2
I
SO pp. 1411142
TE p. Tl23 PMS 65
Visuals G. H. 23
2
I
2
I
areas of parallelograms, triangles, and
rhombuses.
10.1.4
State and apply the fonnulas for finding
areas of trapezoids.
10.1.5
Know and use the fonnula for finding the
areas of regular polygons.
SO pp. 143/144
TE pp. Tl23/124 PMS 66
RBP43 Visual 23
RB VanHiele Act. 4
TEXT:
Geometry
PUBLISHER:
TOPIC
McDougal LittelllHoughton Mifflin, copyright 1997
AUTHOR: JurgenseniBrown/Jurgensen
The student \Vi.ll be able to:
10.2 Circles and Parts of Circles
TIMELINE
SUGGESTIONS
REF
OBJECTIVE
8 Period Day
Block
SG pp. 145/146
TE pp. Tl24/125
PMS 67 Visual 24
2
1
SG pp. 147/148
PMS 68 RBP44
Visual 24
3
Ph
2
1
3
Ph
SG pp. 1551156
TE pp. Tl281129
PMS 72
Visual 25
3
Ph
12.3
pp.490-495
SG pp. 1571158
TE pp. 129-130
TE ch. 12 pp. 473cld
PMS 73 RBP 47
Visual 25
RBDM 9,10
2
1
12.4
pp.497-502
SG pp. 1591160
TE p. T130
PMS 74
2
1
10.2.1
State and apply the circumference and area
formulas for circles.
11.5
pp.445-450
10.2.2
State and apply the formulas for finding
lengths of arcs and areas of sectors.
11.6
pp.452-455
Unit 10 Evaluation
11.0 Areas and Volumes of Solids
11.1 Prisms
11.1.1
Known the terminology related to prisms.
11.1.2
State and apply the formulas for the lateral
area, total area, and volume of prisms.
12.1
pp.475-480
SG pp. 153
TE pp. Tl27/128
Visua125
RBEAp.229
RB Computer Act. pp. 240-241
RBDM5
11.2 Pyramids
11.2.1
Know the terminology related to pyramids.
12.2
pp.482-486
11.3 Cylinder and Cones
11.4 Spheres
11.2.2
State and apply the formulas for lateral area,
total area, and volume of pyramids.
11.3.1
Know the terminology related to cylinders
and cones.
11.3.2
State and apply the formulas for lateral area,
total area and volume of cylinders and cones.
11.4.1
State and apply the formulas for the area and
volume of spheres.
Visuals E, I, J. K, 26
TEXT:
Geometry
PUBLISHER:
TOPIC
McDougal LitteWHoughton Mifflin, copyright 1997
OBJECTIVE
AUTHOR: Jurgensen/Brown/Jurgensen
REF
The student will be able to:
11.5 (Optional) Similar Solids
11.5.1
State and apply the relationship between
areas and volumes of similar solids.
TIMELINE
SUGGESTIONS
8 Period Day
Block
SG pp. 1611162
TE pp. T130/131
PMS 75 RBP 48
Visuals E. 26
1
'h
PMS 76 RBP 49150
2
13.1
pp.523-528
SG pp. 163/164
TE pp. T1311132
PMS 79 RBEA pp. 230-234
RB Computer Act. pp. 257-259
3
Ph
13.2
pp.529-534
SG pp. 165/166
TE pp. T132/133
2
1
3
Ph
12.5
pp. 508-513
Unit 11 Evaluations
12.0 Coordinate Geometry
12.1 Distance Formula
12.2 Slope of a Line
12.3 Vectors
12.1.1
Know the terminology of the cartesian
coordinate system.
12.1.2
State and apply the distance formula.
12.1.3
State and use the center-radius equation of a
circle.
12.2.1
Understand the concept of slope.
12.2.2
Identify lines with positive, negative, 0, and
undefined slopes.
12.2.3
Demonstrate the relationship of the slopes of
parallel lines and perpendicular lines.
12.2.4
Solve problems using the relationship of
slopes of parallel and perpendicular lines.
12.3.1
Know the tenninology of vectors.
12.3.2
Sketch vectors and identify as ordered pairs.
12.3.3
Find the magnitude and scalar mUltiple of a
vector.
12.3.4
Find the sum of 2 vectors.
Visua127
13.3
pp.535-538
SG pp. 167/168
TE pp. T133/134
PMS 80 RBP 51
Visual 27
13.4
pp.539-543
SG pp. 169/170
TE p. T134
Visual 27
TEXT:
Geometry
PUBLISHER:
McDougal LittelllHoughton Mifflin, copyright 1997
OBJECTIVE
TOPIC
REF
AUTHOR: Jurgensen/Brown/Jurgensen
8 Period Day
The student will be able to:
12,4 The Midpoint Formula
12,4,1
State and apply the midpoint formula.
TIMELINE
SUGGESTIONS
135
pp.544-547
SG pp, 1711172
TE pp. T134/135
PMS 81 RBP 52
Block
'h
Visuals F. 27
12.5 Equations of Lines
Unit 12 Evaluations
13.0 Constructions (Optional)
125.1
Graph linear equations.
12.5.2
Write equations of lines in standard form.
12.5.3
Know and apply slope-intercept form of
equations of lines.
125.4
Know and apply point-slope form of
equations of lines.
13.6
pp.548-552
SG pp. 173/174
TE p. T135
3
1'h
13.7
pp.553-556
SG pp. 175/176
TE pp. T135/136
PMS 82 RBP 53
3
1'h
PMS 84 RBP 54
2
1
TEXT:
Geometry
PUBLISHER:
TOPIC
McDougal LitteWHoughton Mifflin, copyright 1997
OBJECTIVE
REF
AUTHOR: Jurgensen/Brown/Jurgensen
The student will be able to:
13.1 Seven Basic Constructions
13.1.1
Construct a segment.
13.1.2
Construct an angle congruent to a given
angle.
13.1.3
Construct an angle bisector.
13.1.4
Construct the perpendicular bisector of a
segment.
13.1.5
Construct the perpendicular to a line at a
given point.
13.1.6
10.1
pp.375-379
TIMELINE
SUGGESTIONS
SG pp. 121-124
TE pp. T116/117
8 Period Day
Block
lh
Ih for
topic
13.1
RB Computer Act. p. 254
10.2
pp. 280-385
TE pp. Tl17
TE ch. 10 pp. 373c/d
PMS 56
lh
10.3
pp.386-389
SG pp. 125/126
TE pp. Tl17/118
PMS 57 RBP38
RBEA pp. 222-223
pp. 150-158
2
Construct the perpendicular to a line from a
given point.
13.2 Concurrent Lines
13.1.7
Construct a line parallel to a given line
through a given point.
13.2.1
Apply four theorems involving concurrent
lines and triangles.
Reteaching Activities Workbook
pp. 107-113
1
TEXT:
Geometry
PUBLISHER:
McDougal Litte11lHoughton Mifflin, copyright 1997
OBJECTIVE
TOPIC
REF
AUTHOR: Jurgensen/Brown/Jurgensen
8 Period Day
The student will be able to:
13.3 Circles
13.3.1
Construct the tangent to a circle at a given
point on the circle.
13A Special Segments
13.3.2
Construct a tangent to a circle from a point
outside the circle.
13.3.3
Circumscribe a circle about a triangle.
13.3.4
Inscribe a triangle in a circle.
13.4.1
Divide a segment into a given number of
congruent parts.
13.4.2
TlMELINE
SUGGESTIONS
Block
10.4
pp. 392-396
SO pp. 127/128
TE pp. T118/119
REDM 3/4/5
II<
10.5
pp.396-399
SO pp. 129/130
TE p. T119
PMS 58 REP 39
RED 6/7
II<
10.6
pp. 401-405
SO pp. 130/131
TE pp. T119/120
REP 43
Given three segments, construct a fourth
segment so that the four segments are in
proportion.
13.5 Locus Problems
13.4.3
Construct the geometric mean of two given
segments.
13.5.1
Describe the locus that satisfies a given
condition.
Unit 13 Evaluations
13.5.2
Describe the locus that satisfies more than
one given condition.
13.5.3
Apply the concept of locus in the solution of
construction exercises.
2
2
1