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Geometry Pre-AP – FBISD – 3rd 9 weeks 2013 – 2014 (Subject to Change)
Monday
January 6
Campus Staff Dev.
Student Holiday
13 5-5 Inequalities in Two
Triangles (Hinge Thm.)
Obj: Apply theorems about
inequalities in triangles. (The
sum of any two sides of a
triangle is greater than the
third. If two sides of a triangle
are unequal, then the larger
angle lies opposite the longer
side. If two angles of a
triangle are unequal, then the
longer side lies opposite the
larger angle.)
Discuss Hinge Theorem in class
– p. 293 #-30
p. 294 (35-37)
Tuesday
7
Wednesday
8 Parts of Similar
Triangles & 5-5
Inequalities in Triangles
Campus Staff Dev.
Student Holiday
14 8.2 Special Rt
Triangles
Obj: Derive and apply the
patterns for special right
triangles.
Study guide – Case 1 &
Case 2
(Begin Wednesday’s
notes)
Friday
10 5-5 Inequalities in
Triangles
Obj: Apply theorems about inequalities in triangles. (The sum of any two sides of a triangle is
greater than the third. If two sides of a triangle are unequal, then the larger angle lies opposite the
longer side. If two angles of a triangle are unequal, then the longer side lies opposite the larger
angle.)
WS – Parts of Similar
Triangles #1-9
WS – Solving Compound
Inequalities
Inform students that they
need to buy a copy of
Sphereland and have it by
February 9th
In class
page 292 (1-28, 31-32)
15
8.2 Special Rt. Triangles
16
Obj: Apply the special
right triangle patterns and
Pythagorean Theorem to
solve problems.
(Define isosceles
trapezoid. Do some
sample problems.)
Worksheet on Right
Triangles
p. 428 #15-23, 25-26
WS 8.2 A
WS 8.2 Special Right
Triangles
Thursday
9 5-5 Inequalities in
Triangles
WS – Inequalities in One
Triangle
&
Finish p. 292 (1-28, 31-32)
Right Triangles
Obj: Solve right triangle
problems. Apply the
Pythagorean Theorem to
the rectangular prism and
to the regular square
pyramid.
Worksheet – Right
Triangle Practice
WS - Pythaorgean Theorem
More or Less
17
Pyth. Thm. in 3D
Obj: Apply the Pythagorean
Theorem to 3D figures.
Assess special right
triangles and the
Pythagorean Theorem.
WS – Pythagorean Theorem in
Three Dimensions
Possible Quiz over Special
Right Triangles and
Pythagorean Theorem??
Quiz over Parts of Similar
Triangles and 5-5
Inequalities in Triangles
WS-Inequalities in 2 Triangles
20
M. L. King Day
No School
21
8.3 & 8.4 Trig Ratios
Obj: Define and analyze
the trig ratios – tangent,
sine, and cosine. Use the
calculator to find segment
lengths and angle
measures.
22
8.5 Angles of Elevation &
Depression
Obj: Define and apply
angles of elevation and
depression to solve
problems.
p. 447 #1-8 & p. 442 #25, 2829 (in class)
WS – Trig Ratios in Right
Triangles
27
Review
Obj: Compare and contrast
methods for solving
problems involving right
triangles.
28
“SNOW” DAY
23
8.5 Angles of Elevation &
Depression
Obj: Apply all of the
trigonometric techniques
to solve problems. Assess
understanding of the Pyth.
Thm. in 3D and trig ratios.
p. 437 (53-58)
p. 447 #9-18, 23, 28, 29
p. 434 #10, 22, 23
WS – Angles of Elevation &
Depression
p. 441 #10, 17, 22, 24, 31, 33
Class Activity – Too Tall to
Measure (daily grade)
29
Review
Obj: Compare and
contrast methods for
solving problems involving
right triangles.
30
Test over Right
Triangles (chapter 8)
Obj: Assess
understanding of chapter
8, right triangles.
Go over quiz &
worksheet.
WS – Ch. 8 Extra Practice (with
answers)
24
“SNOW” DAY
31
6.1 Define Special Quads
6.2 Properties of
Parallelograms
Obj: Define special
quadrilaterals. Derive and apply
the properties of parallelograms.
HW:
p. 308 (1-12, 19-26, 45-48)
WS – Parallelograms
p. 316 (12-16, 31-33, 41)
End of Progress 5
Quiz over Pyth. Thm. in 3D and
Trig.
February 3
6.3 Prove Quad. is a
Parallelogram
Obj: Derive and apply the
ways of proving that a quad.
is a parallelogram. Verify
that a quad. is or is not a
parallelogram by coordinate
methods. Introduce
verifying parallelogram from
coord. of 4 points
WS – 6.3 Parallelograms (front
& back)
Page 325 (14-19, 26)
4
6.4 Special
Parallelograms
Obj: Derive the properties
of special parallelograms.
Extend coordinate
methods to the rectangle
and the rhombus.
Study Guide
WS – Rectangles, Squares &
Rhombi (6.4) (32 problems)
5
6
7
6.5 Trap. & Isos. Trap.
Obj: Analyze isosceles
trapezoids and apply their
properties to find segment
lengths and angle
measures.
6.5 Kites & Coord Work
6.6 Placing Figures in the
Coord. Plane
Obj: Analyze the best
placement of figures in the
coordinate plane.
Study Guide
WS- Trapezoids (6.5)
Quiz over 6.1-6.3
(Subject to change)
Obj: Derive and apply the
properties of a kite.
Classify quadrilaterals by
coordinate methods.
Work a couple more coord.
examples in class
WS – Kites & Coord Work with
Quadrilaterals
Use Practice 6-6 as a study
guide
Introduce Kite Project (daily
grade) Due March 7th
Teach 6.7 today
Pg. 344 (2-7, 9-15, 22-27)
10
11
12
13
14
6.7 Proofs using Coord
Geom.
Obj: Prove properties of
Comparing &
Contrasting Quads.
Obj: Compare and
contrast quadrilaterals and
their properties.
Midpt. Quads.
Review
Test on Quadrilaterals
Obj: Analyze
quadrilaterals formed by
connecting the midpoints
of consecutive sides.
Obj: Review
quadrilaterals, their
properties, and coordinate
methods for verifying
each.
Obj: Assess understanding
of Quadrilaterals, chapter 6.
20
21
Continue 10-3 and 10-5
Obj: Review Heron’s
Formula and review
circumference and area of a
circle.
special quadrilaterals by
coordinate methods.
Use Ex. on page. 349 in class
and problem 1 to illustrate
choices of coordinates.
WS – 6.7 Proofs Using
Coordinate Geometry
Quiz over Special
Parallelograms &
Trapezoids
Pg. 309
(29-41, 50-53, 56-59)
WS –Quadrilateral
Relationships
WS-Quad. from Midpoints
(in class)
Fill in Chart of properties
of quadrilaterals
WS – Connecting
Midpoints
WS – Chapter 6 Review
(note: review sheet does
not include sections 6.6 &
6.7)
Page 359 (30-34)
19 10-3 Area of Regular
Polygons and 10-5
Trigonometry and Area
Obj: Derive the formula
for finding the area of a
regular polygon, including
the special cases of
equilateral triangle,
square, and regular
hexagon. Use
trigonometry to find any
missing parts.
17
18
10-1 Area of
Parallelograms &
Triangles
10-2 Area of Trapezoids,
Rhombuses & Kites
(include geoboard methods)
Obj: Analyze and apply
methods for finding the area
of parallelograms and
triangles, including the
dissection and surround
methods.
Obj: Develop and apply
the formulas for area of a
trapezoid and for
quadrilaterals with
perpendicular diagonals –
rhombus, kite, square, and
others.
HW:
p. 536 (1-9; 12-14; 19-27;
32-39)
Geoboard Worksheet
HW:
pg. 542 (4, 8-18, 22-32,
35)
24 10-6 Circles and Arc
25 10-4 Perimeters and
and 10-7 Areas of Circles
& Sectors
Obj: Apply ratios to find arc
length and area of sector.
Analyze the area of a
segment of a circle as a
sector minus a triangle.
Areas of Similar
Polygons
Obj: Apply ratios to find
perimeters and areas of
similar polygons.
26
p. 555
(2, 3, 5-10, 13-16, 19-22,
28-32, 35-37, 41-44)
WS - Chapter 10 Review
p. 571 (57-59)
p. 578
(22, 25-28, 30, 32, 35, 40)
Worksheet – Arc Length,
Sector Area, Segment Area
March 3
Worksheet with Heron’s
Theorem and Circle
Area/Perimeter
pg. 561 (2, 11-17, 25)
Quiz on 10-1 and 10-2
pg. 548 (1-3,10-18,24-25,
29)
pg. 561 (1, 4, 7, 8)
End of Progress 6
District
Assessment
27
28
10-8 Geometric
Probability
1-2 Drawings, Nets, and
Other Models
Obj: Apply concepts of
probability to distance and
area.
HW: Worksheet – Algebra &
Areas
p. 13 (1-9, 18-20, 35)
Worksheet
Isometric dot paper &
square dot paper provided
for book work Review
(Homework due Monday)
p. 584
(1-6, 15-20, 23-26, 32-35,
47)
Worksheet – Shaded
Areas
Quiz 10-3 & 10-5
4 Test on Ch. 10
Chapter 10
Obj: Compare and contrast
methods for finding the
perimeter and area of
polygons, circles, sectors,
segments, and composite
figures.
Obj: Find area of triangles
by trig. Find shaded areas
by applying all of the area
formulas.
Obj: Assess
understanding of Area and
Perimeter – Chapter 10.
Obj: Apply algebraic skills
to find area.
Finish the homework on 12 from Friday 2/28
5
6
1-2 continued
11-1 Space figures and
Cross Sections
In groups of 2 or 3, find 8
different nets for a pyramid
with a square base. Use
polyhedrons (clicktogethers).
Obj: Describe and analyze
cross sections of solid figures.
Use plastic cubes with colored
water to “see” cross sections.
p. 13 (11-16, 23-30, 34)
“Packet” of pattern folding,
etc.
7 Kite Day!
In class using cubes
p. 603 (46-54)
HW: p. 601 (1-19, 21-29,
36)
Spring Break—March 10-14
17
18
11-2 Surface Areas of
Prisms and Cylinders
11-3 Surface Areas of
Pyramids and Cones
Obj: Derive and apply the
formulas for lateral area and
surface area of right prisms
and cylinders.
Obj: Derive and apply
formulas for lateral area
and surface area of
regular pyramids and
cones.
p. 612
(5-12, 16, 19, 21, 22, 24,
27-30, 33-35)
p. 253 (1-4)
p. 620
(1, 2, 4, 5, 9-11, 18, 19,
21, 23, 27-30)
19
Review
Obj: Solve lateral area
and surface area
problems, including some
nonformula problems.
HW: Worksheet - Fun
with Lateral Area and
Surface Area
Worksheet - Review of
11.2 and 11.3
20
21
11-3 continued
Obj: Apply formulas for
lateral area and surface
area of pyramids, cones,
prisms, and cylinders..
p. 620 (3, 6, 8, 12, 17, 3135, 37-40, 43)
11-4 Volumes of
Prisms & Cylinders
Quiz 1-2, 11-1, 11-2, &
Algebra and Areas
Obj: Derive and apply the
formulas for volumes of
prisms and cylinders.
Page 627 (1, 2, 4-6, 10-12,
15, 17-19, 22, 26-35, 37
(part a only), 38)
End 3rd Nine Weeks
(Subject to change)
Geometry Pre-AP – FBISD – 4th 9 weeks 2013 – 2014 (Subject to Change)
Monday
24
Extra day to review
Come up with
additional review sheet
or activity
Tuesday
25
Review for Test
Obj: Solve lateral area
and surface area
problems, including some
nonformula problems.
Wednesday
26
TEST 1.2, 11.1 – 11.3
Homework: page 75 #119 (TAKS Tune-up)
Thursday
28
11-5 Volumes of
Pyramids & Cones
11-6 Surface Area &
Volume of a Sphere
Obj: Derive and apply the
formulas for surface area
and volume of a sphere.
Describe and draw the
intersection of a given plane
with a sphere.
Orange Activity
Obj: Derive and apply the
formulas for volumes of
pyramids and cones from
models.
Page 634 (1, 2, 6, 8, 9, 11,
13-16, 18, 20-25, 27, 2931)
31
April 1
2
Composite figures
STAAR English I Writing &
Reading
STAAR English II Writing
& Reading
Obj: Apply volume
concepts to find the
volume of composite
figures, including cones
made by removing a
sector from a circle.
Page 642 (40-43, 47)
Page 644 (10)
WS - More Practice
Quiz over 11.4 and 11.5
7
Volume of Rotational
Solids
Card Deck Matching Activity
– Volumes of rotation(for a
daily grade)
8
9
Test Review
10-6 Circles and Arcs
12-1 Tangent Lines
Obj: a. Understand and
apply relationships
between central angles
and arcs.
b. Understand and apply
properties of tangent
lines.
Finish Card Deck if needed
And review for test.
Due Friday:
p. 570 (15-26, 42-47, 4953, 70)
p. 665 (1-4, 8-15, 20, 22,
25, 26, 28)
Hw: Create a test review?
Bring an orange for
tomorrow
3
11.7 Areas & Volumes of
Similar Solids
Obj: Use ratios to solve
problems involving
similar figures.
Page 648 (1-10, 12-15, 1718, 20, 22, 24, 29, 34, 35)
11
Test over Surface Area
and Volume
(11-3 – 11-7 & WS)
12-2 Chords and Arcs
Obj: Develop and apply
relationships between
circles, chords, and arcs.
p. 673 (3-8, 11-18, 26, 27,
30-32, 34)
Hw: Finish the homework
from Wednesday
Hand out Sphereland study
sheets.
Read through page 26 by
Friday, April 17
End of Progress 7
16
17
12-4 Angle Measures
and Circles (exterior)
12-4 Segments and
Circles (Interior)
Obj: Apply relationships
between circles, arcs,
angles, and segments.
p. 691 (9, 11-28, 36, 40,
41) p. 685 Checkpoint
Obj: Find the surface area
and volume of frustums by
applying similar solids. Apply
concepts of surface area
and volume to solve
problems.
10
15
Obj: Understand and
apply relationships
between segments and
circles.
4
Frustums & More
Practice
Page 636 (32, 34)
Page 649 (11, 16, 37)
Worksheet - Frustums
Page 652 (1-2)
12-3 Inscribed Angles
Obj: Understand and
apply relationships
between angles with their
vertex in the interior and in
the exterior and their
intercepted arcs.
HW: Page 640 (1, 2, 5, 8,
10, 12, 13, 16-24, 29, 34, 35,
37, 38)
Worksheet – Area and
Volume Review
14
Obj: Understand and apply
relationships between
angles with their vertex on
the circle and their
intercepted arcs. Find the
center of a circle without
measurement.
Friday
27
18
Good Friday
No School
Quiz on 12-1 through the
angle part of 12-4
WS – Chapter 12
Assign Sphereland, Part I
The Straight World –
pages 27-82
p. 681 (5-24, 28, 42-44)
p. 691 (1-8) and
WS Finding Angle
Measures in Circles
21
22
23
24
25
Sphereland
Sphereland
TEST over Circles – 10-6
and 12-1 to 12-4
Obj: Understand the social
and mathematical progress
through history by an
analysis of dimensions in
Sphereland.
Obj: Understand the social
and mathematical progress
through history by an
analysis of dimensions in
Sphereland
Obj: Review
relationships between
circles, arcs, angles, and
segments.
Discuss the introduction
through page 26.
Show Flatland video
Sphereland
Obj: Summarize the strands
throughout Sphereland:
possibility of third dimension,
role of women, attitude of
society, and kinds of
reasoning.
Discuss Sphereland through
page 82 (Part I)
HW: Finish Part I pages 2782 , start part II pages 83 –
119
Study for the test
HW: Finish Sphereland
Part I 27-82 and study
guide, work on Part II
pages 83 - 119
Obj: Assess
understanding of
relationships between
circles, arcs, angles, and
segments.
HW: Finish Sphereland, Part
II pages 83 -119, start Part
III pages 120 – 170
(Subject to change)
28 Sphereland
Obj: Understand the social
and mathematical progress
through history by an
analysis of dimensions in
Sphereland
29 Sphereland
Obj: Understand the social
and mathematical progress
through history by an
analysis of dimensions in
Sphereland
30
May 1
Sphereland
Obj: Examine the rolls of
women, social structure
and history by Discussing
Sphereland Part IV
Sphereland
Discuss Part II
Obj: Summarize the
strands throughout
Sphereland and their
relevance to today.
2
Obj: Summarize the strands
throughout Sphereland and
their relevance to today.
Review Sphereland with “I
have, who has?” Card Act
Show Sphereland Video
Discuss Part III
HW: Sphereland, Part III –
pages 120 – 170 for
Monday, Finish the book,
pages 170-205 and do Part
IV
Assign Sphereland, Part IV
– pages 170 – 205
5
6
7
STAAR Algebra I*
STAAR Biology*
STAAR U.S. History
STAAR Algebra I*
STAAR Biology*
STAAR U.S. History
STAAR Algebra I*
STAAR Biology*
STAAR U.S. History
8
Sphereland
End of Progress 8
9
Quiz over all of
Sphereland
(2 daily grades)
12-5 Circles in the
Coordinate Plane
Obj: Derive and apply the
equation of a circle in the
plane.
p. 697 (1, 3, 6, 8, 11, 12, 14,
17, 20, 21, 24, 27, 29, 32,
33, 35, 37, 40, 42-47, 53, 55,
57)
12
13
14
15
3D Coordinate System
3D Coordinate System
More Locus work
More Locus work
16
More Locus Work
Obj: Understand coordinate
geometry from a
dimensional viewpoint.
Locate points in space.
Locate planes in space.
Obj: Match equations,
pictures, and descriptions
of planes in space.
Obj: Understand and
describe verbally and
algebraically a locus of
points that satisfies given
condition(s).
Obj: Assess
understanding of equation
of circle and of 3D
coordinate system.
Review Locus of Points.
Obj: to discuss what
happens when two Loci
intersect.
p. 703 (9-12, 18-20, 26,
31, 32, 33-40, 44) and
WS – Locus of Points
and Intersection of Loci
p. 703 (1-8, 14-17) and
WS Examples for Locus
of Points
Quiz over 12-5 and 3D
coordinate system
20
21
22
23
Test over 12-5, 3D
coordinate system, Locus
of Points, and Intersection
of Loci
Spherical Geometry
Taxicab Geometry
Networking and Graph
Theory
Obj: To expose student
to another type of
Geometry, including how
the basics of Geometry
change when applied to a
spherical surface.
Obj: To expose students to
another type of Geometry,
including the new rules of
Taxicab Geometry and the
history behind it.
WS – Coordinate Geometry
from a Dimensional
Viewpoint; WS- Coordinates
in 3D
19
Review
3D Card Matching Activity
(counts as a daily grade)
WS 2 - Coordinates in
Space
WS – Intersection of Loci
WS – Locus of Points
Obj: Understand the
development of graph theory
and networking
WS – Taxicab Geometry
WS – Graph Theory – Polygons
as Networks
28
Review for Quiz and
Exams
29
30
4
Semester Exams
5
Semester Exams
2nd Period Exam
4th Period Exam
3rd Period Exam
5th Period Exam
WS – comparing Planar
and Spherical Geometry
26
27
Memorial Day
No School
Topology
Obj: Determine if two
objects are topologically
equivalent under
homeomorphism classes
and under homotopy
classes.
WS - Topology
June 2
Semester Exams
3
Spherical, Taxi and
Euclidean Geometry
Review.
Obj: To review the
three types of Geometry
and compare and contrast
the different rules.
Quiz over Spherical
Geometry, Taxicab,
Networking, and
Topology (not droppable)
Review for final exam
7
Semester Exams
Teacher Workday
6th Period Exam
(12:30 – 2:30)
(Subject to change)
1st Period Exam
7th Period Exam
(Subject to change)