Download Summary of Objectives

Geometry Pre-AP – FBISD – 1st 9 weeks 2013 – 2014 (Subject to Change)
Monday
August 26 Review
Tuesday
27 Inductive, Deductive,
prerequisite skills from Algebra
I. Establish classroom norms,
hand out Syllabus
Intuitive, & Counterexample
HW: WS – Do You
Remember?
Obj: Compare and contrast
inductive, deductive, and intuitive
reasoning. Understand and
construct counterexamples.
In Class: G5 Questions
HW: 1-1 Patterns and Inductive
Reasoning: page 6 #1-12; 17-24;
31-39
WS – Kinds of Reasoning
Wednesday
28 2-1Conditional Statements
Obj: Identify the hypothesis and
conclusion of a conditional
statement. Construct the
converse of a conditional
statement. Add in the idea of a
venn diagram.
HW: Page 83 #2-58 even
Page 84 #59-61
WS – Rewriting If Then
Statements – For odds, write
venn diagrams on the back
Thursday
29 2-2 Biconditionals &
Friday
30 5-4 Negate, Inverse,
Definitions
Contrapositive
Obj: Compare and contrast
biconditionals and definitions
with airline round trips.
HW: Page 90 # 1, 2, 6, 7-17
odd; 18-22 even; 32-38; 45;
47
Obj: Negate statements.
Identify and construct the
inverse and contrapositive of
a conditional statement.
Determine statements that are
equivalent.
WS - Big Sky Airlines
.
Quiz over Alg. Review
page 6 and Kinds of
Reasoning, Conditionals &
Converse
HW: WS Equivalent
Statements Page 283 #1-9;
24-29; 34-36
Pg 85 # 53
September 2
3 2-3 Deductive Reasoning &
4 Chain Rule (Extension of 2-3)
Symbolic Logic Proofs
Labor Day
No School
Obj: Understand and apply
deductive reasoning in writing
symbolic logic proofs.
Obj: Apply equivalent
conditional statements, law of
syllogism, and the chain rule to
solve logic puzzles
Work Luann puzzle in class
HW: Finish
WS – Valid/Invalid Reasoning &
Error Analysis
WS – Symbolic Logic Proofs
9 1-3 Points, Lines, Planes
Obj: Develop an awareness of
the structure of a mathematical
system, connecting definitions
and postulates.
( Hand out Ad and conditional
statement project, Due Friday)
10 1-4 Segments, Rays, Parallel
Lines and Planes
5
HW: Study for Test
AD project Due
12 1-5 continued
Subsets of Lines
HW: Page 19 #2-24 even; 3044 even; 46-49 all; 55-60 all;
65-67 all
Obj: Compare and contrast
segments, rays, and lines. Define
relationships between lines and
planes.
HW: Page 25 # 4-10 all; 11-35
all; 39, 44, 45
Page 20 #50-54
Obj: Find length of a segment
on a number line. Integrate the
terms midpoint and bisect. Apply
set theory to extend knowledge of
segments, rays, and lines.
HW: Page 33 #1-12 all; 29-33
all; 36, 37
WS – Subsets of Lines
Obj: Connect algebraic
descriptions to geometric sets
of points and review factoring
concepts
HW: WS – Subsets of Lines,
Algebraic Connections
WS – Distance and Segment
Measure #1-14 (work 11 &
13 as examples in class)
16 Pythagorean Theorem and
17 1-8 The Coordinate Plane
18 1-8 Continued – Distance
19 1-6 Angles and 1-7 Angle
Formula & Pythagorean Theorem
Obj: Apply Pythagorean
Theorem to find the distance
between two points on the
coordinate plane. Develop the
midpoint formula. Emphasize
that the midpoint is the “average”
of the endpoints.
HW: WS – Distance Formula &
Pythagorean Theorem (work
problems 11 & 13 in class)
Bisector (Example 4)
Simplifying Radicals
Obj: Review Pythagorean
Theorem and simplifying
radicals. Work an example
where the sides of the rectangle
are algebraic expressions
HW: WS – Simplifying
Radical Expressions &
Pythagorean Theorem
WS – Distance & Segment
Measure #15-20 (more practice
over 1-5)
Obj: Apply Pythagorean
Theorem to find the distance
between two points on the
coordinate plane. Develop the
midpoint formula. Emphasize
that the midpoint is the “average”
of the endpoints.
HW: Page 56 #3-9 odd; 10-17
all; 19-31 odd; 41-43, 45, 48
(change directions so that
answers are exact, not nearest
tenth)
Quiz over 1-5, Subsets of Lines,
factoring, Pythagorean Thm, &
simplifying radicals
Test
Reasoning and
Algebra Review
Obj: Review Objectives for
Reasoning Test
HW: WS – Working Logic
Puzzles I & II
Work 3 more symbolic logic
proofs
11 1-5 Measuring Segments and
6
Review for Test
Obj: Compare and contrast
concepts for angles with
concepts for segments.
WS – Overlapping Segments
& Angles (done in class)
Sample clock problems
HW: Page 40 #13--40; 42-45;
47
Page 47 #9-12; 21; 25
Page 112 #12, 13; 30-32
(DUE TUESDAY)
13
Obj: Review multiplying
binomials and factoring
quadratics.
Quiz, 1-3, and 1-4.
HW: WS – Fun with
Factoring
20 Review
Obj: Synthesize previous
material taught for review.
Review perimeter,
circumference, and area.
Give problems to kids as
examples of the types of
problems they will be
responsible for in the next
unit. 1-9
page 65 #6-11 all; 17-23 odd;
26, 27, 29, 31, 37, 38, 39, 4750, 52, 53, 58-63, 66-70
(DUE TUESDAY)
HW: Study!
Progress Report
(Subject to change)
23
Test
Unit 1: 1-3, 4, 5, 8
and Pythagorean
Theorem
HW: Finish pg. 65, pg 40, pg
47, and pg 112
24 Complementary &
Obj: Integrate algebra with
measures of angle pairs.
Understand and apply
overlapping segment and
overlapping angle theorems.
Identify previous definitions,
postulates, and theorems in
drawing conclusions.
HW:
WS –Comp & Supp. Angles
WS – Drawing Conclusions 1
30 Segment and Angle Proofs
Obj: Write flow proofs
including segment and angle
concepts.
25 Angles (continued)
Supplementary Angles
October 1
Review for Test
Go over Quiz & previous HW
26 Segment and Angle
27
Proofs
Obj: Integrate solving systems of
equations with solving for
measures of angles. Identify
previous definitions, postulates,
and theorems in drawing
conclusions.
Quiz (over assignments from
section 1-9 & Sept 19)
HW:
WS – Angle Pairs
WS – Drawing Conclusions 2
2
Test
1-9 and Angles
Obj: Write flow proofs
including segment and angle
concepts.
Introduce proofs using
substitution and transitive
properties. (work 2 of the 4
samples
HW: WS – Drawing
Conclusions 3
WS – Flow-proofs
(substitution & transitive)
WS – Supplements and
Complements
Holiday – Fort Bend
County Fair Day
3 3-1 Properties of Parallel
4 3-2 Proving Lines Parallel ||
Lines (angles created by
transversals)
Line proofs
Obj: Determine the
conditions to prove two lines
are parallel. Write parallel
line proofs.
2 sample proofs in class – 4
proofs for homework
HW:
Page 137 #1-8; 10-21
(identify transversal line); 2426; 41, 43
Drawing Conclusions // lines
and proofs
Obj: Identify previous
definitions, postulates, and
theorems in drawing conclusions.
HW: WS – Proofs 2-5
HW: Drawing Conclusions 5
Finish flow proofs – pick up for a
grade
Obj: Define and identify
pairs of angles created by a
transversal and two parallel
lines. Draw conclusions
given parallel lines.
HW:
Page 131 #1-8; 11-18; 23-25;
30-36
WS – Finding Angle
Measures 1
7 3-1 & 3-2 Continued
8 3-3 Parallel and Perpendicular
9 Review then quiz
10 3-4 Parallel Lines &
11 3-5 The Polygon Angle-
Remember that sum of angles
of a triangle is 180°
Lines
Triangle Angle-Sum Theorem
Sum Theorems
Obj: Prove the sum of the
angles of a triangle is 180 and
then extend that concept to
the exterior angle of a
triangle.
Obj: Use inductive reasoning
to understand the theorems
about the sum of the interior
and the sum of the exterior
angles of convex polygons.
Page 150 #1-6; 10-20; 23-28;
30-32; 38
WS – Test Review
Page 161 #8-27;32-36; 3844; 47-53
Work 2 more sample proofs.
HW:
WS - Proofs #1, 7, 8
WS – Drawing Conclusions 4
Progress Report
Obj: Apply parallel line
concepts in solving algebraic
problems and in writing proofs.
HW: WS – Crook Problems
WS – Finding Angle Measures
2
Parallel Line Proofs 1-4
Obj: Understand and apply
relationships between lines in a
plane and in space.
Quiz over || lines & angle pairs
and a proof
Page 143 #4-10; 14-21
WS – Parallel Lines & Angles
Proofs 5-8
Proofs 9-12
WS – 4-2 Practice &
Enrichment
14 Review
Obj: Synthesize previous
material to create a review for
the test over chapter 3.
15
Test over Chapter 3
Obj: Compare and contrast four
views of a function – graph,
table, description, and equation.
Hand out Equations of Lines
Review Sheet
HW: Finish test review
Graphing Equations of Lines
WS and pg. 177 (1-11 odd, 16,
18, 25-28, 40-43) – Due
Thursday
16 PSAT Testing
(10th and some 11th )
Sort Them Activity
Hw: Work on Writing Equations
of Lines
Afternoon Classes: work on
homework and do card match
activity.
17 3-6 Lines in the
18 3-7 More Equations of
Coordinate Plane
Lines
Obj: Graph lines using
intercepts, a point and a slope,
or the slope and y-intercept.
Obj: Write equations of lines
that are parallel or
perpendicular to a given line,
including bisectors of
segments.
HW: Page 178 #12-15; 2023; 39, 45, 46, 48, 49, 50
WS More Writing
Equations
HW: Writing Equations WS
and Page 169 (15 – 32, 38,
54)
End of 1st Nine Weeks
(Subject to change)
Geometry Pre-AP – FBISD – 2nd 9 weeks 2013 – 2014 (Subject to Change)
Monday
October 21
Tuesday
22 9-2 Reflections
Wednesday
23 9-2 Reflections Cont’d
9-1 Translations
Obj: Understand and apply
properties of reflection,
including the reversal of
orientation and the line of
reflection as the perpendicular
bisector of the segment
connecting preimage and
image. Investigate reflection
in 3-D.
Obj: Understand and apply
properties of reflection on the
coordinate plane over lines
with a variety of slopes.
Obj: Compare and contrast
rigid transformations, dilations,
and distortions.
Hw: Page 473 #1, 2, 3, 9; 1114; 16-23; 25-29; 31-33; 35
28 9-5 Dilations
Obj: Understand dilation as an
enlargement or reduction which
have image figures similar to
the preimage figures.
HW: p. 500 (1-14, 18-24 even,
42, 43, 47, 48, 54-61)
WS-Dilations Practice
Assign Transformations
Project (Due Friday)
Hw: p. 480 1-11, 16-22, 2426, 28-36, 51, 54 – 56)
Reflection application ws
29 9-6 Compositions of
Reflections and 9-7
Tessellations
Obj: Part I Understand what
a composition of two
functions looks like how to
compare the beginning and
the end of a transformation.
Part II Discuss what a
tessellation is and what figure
will and will not tessellate.
9-6 notes over Compositions
– Define a glide-reflection
9-7 Frieze Patterns in class
p. 514 (5-10) together
HW: WS Translations,
Reflections, and Rotations
Review – Reflection and
Dilations
4
5
Obj: Assess understanding of
transformations, compositions
of transformations, symmetry,
and tessellations.
7-3 Similar Triangle
Patterns
Test
Transformations
HW: 7-1
Page 368 #1-11 all; 12-20 even;
21, 22, 25, 28-33, 38-42, 47,
52-55, 59-61)
HW: Pg. 480 (12, 13, 15, 37,
46)
Reflections on Coordinate
Plane
Quiz over 3-6 and 3-7
30 9-1 Through 9-7 Review
Day
Thursday
24 9-3 Rotations
Friday
25 9-4 Symmetry
Obj: Understand and apply
properties of rotation,
including center and angle of
rotation.
Obj: understand and identify
kinds of reflectional
symmetry, rotational
symmetry, and point
symmetry as a 180 degree
rotational symmetry .
Hw:
Workbook Practice 9-4
Symmetry WS
p. 494 (36-40, 54)
Study for Quiz
p. 485 (1-9 odd, 10-19 all, 2731, 34, 35, 45-47)
31
November 1
7-1 Ratio and Proportion
Review
Finish yesterday if needed
and then use the review
material to help the kids begin
to prepare for the test.
HW: (Due Wednesday)
Page 368 #1-11 all; 12-20
even; 21, 22, 25, 28-33, 3842, 47, 52-55, 59-61)
HW:

p. 509 (1-3, 10-27, 30,
35-45)

Read and do
WS-Tessellations

More Practice: Slopes &
Transformations (OMIT
parts D and G)

Test Review –
Transformations
Quiz over 9.1-9.5
7-2 Similar Polygons
6
7
8
7-4 Similarity in Right
Triangles
7-5 Proportions in Triangles
DAC
Obj: Summarize patterns for
similarity in triangles – AA~,
SAS ~, and SSS~.
HW: 7-3 Study guide
WS 7.3
Page 385 (16-19, 22b)
Worksheet – Application
problems using similar
triangles (OMIT geometric
mean and proportions)
Obj: Analyze and apply
concepts of similarity to
triangles and polygons
Obj: Review
transformations, compositions
of transformations, symmetry
and tessellations.
Transformation Project
Due!!!!
HW: (Due Wednesday) Page
375 #1-6, 9-12, 15-18, 20-28,
31-35, 40-45, 50)
Obj: Generalize the
relationships when the
altitude to the hypotenuse of a
right triangle is drawn. Apply
the three geometric means
formed.
HW: Worksheet 7.4
Extra Practice:
Page 394 #2-8 even; 9-21 all;
23a; 35-38, 49-51
Obj: Apply the side-splitter
theorem and its corollary and
the triangle-angle-bisector
theorem in problem-solving.
Page 400 #1-16; 25, 26, 29,
31-33, 36-38, 41-43
Similarity in Triangles WS
(TBC)
Chapter 7 Review Problems
Quiz over 7.1-7.3
optional: (1, 2, 4-15, 23-28)
Progress Report
11
12
13
14
15
Review
Obj: Assess understanding
of similarity in triangles and
in polygons.
4-1 Congruent Figures
4-2 SSS and SAS
4-3 ASA and AAS
Obj: Understand and apply
concepts of congruence to
triangles and use deductive
reasoning in proving
relationships.
Obj: Generalize SSS and
SAS. Apply both in algebraic
problems and in prrofs.
Page 200 #3-13; 16-23; 29,
38-40, 46, 47
Drawing Conclusions WS
Page 208 #1, 4-13, 18-19, 2630, 38, 40
Obj: Generalize ASA and
AAS. Apply both in
algebraic problems and in
proofs.
Page 215 #1-4, 7, 10, 11, 1316, 18, 20-23
Page 219 #2-10
WS Congruent Triangles I
Obj: Synthesize concepts of
similarity in triangles and
polygons.
Study for test.
Test
Chapter 7
Triangle Menu – Create
Triangles according to
specifications
Assign Vehicle Project to be
due on November 20
(Subject to change)
Work a sample proof in class
18
Do warm-up problems
over 4.1-4.3
4-4 CPCTC
Obj: Draw conclusions about
the remaining pairs of parts
after proving the triangles
congruent.
Page 222 #1-3, 5, 14, 15 (check
for notecard:  linear  s
→  lines ), 19
WS Congruent Triangles II
CPCTC Proofs WS I
19 4-5 Isosceles and
20 4-6 Congruence in
Equilateral Triangles
Right Triangles(LL, LA,
HA, HL)
Obj: Apply the isosceles
triangle theorem and its
converse in algebraic
problems and in proofs.
Page 230 #1-13, 19-22, 24,
30- 33, 36
WS – 4.5 Isosceles Triangles
Proofs with Isosceles
triangles
Quiz over 4.1-4.3 (patterns
of congruency and 2 proofs)
Obj: Generalize and apply
right triangle patterns for
congruence – LL, LA, HA,
and HL.
Worksheet on patterns
Page 210 #39
Page 216 #6, 12
Page 224 #16, 18
Page 238 #13, 20, 21
WS Congruent Triangles III
21 4-7 CPCTC
Obj: Separate and compare
overlapping triangles to write
proofs about their
congruence.
Go over the example on page
247 and work a sample
problem similar to #10 on
page 244
22
More Writing Proofs (2stage proofs)
Obj: Write proofs that have
two stages of congruent
triangles.
Page 244 # 10, 11, 21, 22
Page 247 #1, 2
Page 243 #1-6, 8, 16, 17
CPCTC Proofs WS II
Vehicle Project Due!!
25
26
Thanksgiving Break
No School
December 2
2-Stage Proofs Day 2
Reteach for absent kids
Begin test review.
27
Thanksgiving Break
No School
3 Review
Obj: Synthesize concepts of
congruence in triangles and in
polygons
HW: Test Review (TBC)
28
Thanksgiving Break
No School
Thanksgiving Break
No School
5
6 Bisectors in Triangles
Test over Chapter 4
5-1 Midsegments of
Triangles
Obj: Assess understanding
of congruence in triangles and
in polygons.
Obj: Draw conclusions about
the midsegment of a triangle.
Obj: Draw conclusions about
the perpendicular bisectors,
and angle bisectors in
triangles.
p. 262 #1-10, 13, 20-36, 38
Semester Review #40-52
Obj: Apply the theorems
about special segments in
triangles in problems
p. 267 #34, 35, 37-39, 42, 45,
46
Ws Medians, altitudes,
Perpendicular Bisectors (20-24)
p. 275 #1-16, 23, 28
Semester Review # 65-79
16 Review for final exams
Semester Review should be
finished!
GOOD LUCK!!
10 Equations of Special
11 Review Properties of
Segments
Special Segments
WS-Equations of Medians,
Altitudes, & Perpendicular
Bisectors
Hw: Study for Quiz
Work on Semester Review
p. 267 #1-4, 6-26
Ws Medians, altitudes,
Perpendicular Bisectors (119)
Semester Review # 53-64
Semester Review #1-39
9 5-3 Concurrent Lines
Thanksgiving Break
No School
4
Worksheet – Application
problems using similar
triangles.
pg. 243 (1-6, 8, 17)
29
Progress Report
12 QUIZ 5.1 - 5.3
13 Review for Finals
HW: Semester Review # 95115
Semester Review # 116-141
19
20Semester Exams
7th period Exam
1st period Exam
½ Day
Semester Review # 80-94
17
18
Semester Exams
6th period Exam
Full Day
Semester Exams
2nd period Exam
4th period Exam
Full Day
Semester Exams
3rd period Exam
5th period Exam
½ Day
End 2nd Nine Weeks
End 1st Semester
(Subject to change)
Geometry Pre-AP – FBISD – 3rd 9 weeks 2013 – 2014 (Subject to Change)
Monday
January 7
Campus Staff Dev.
Student Holiday
14 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
Tuesday
8
Wednesday
9 Parts of Similar
Triangles & 5-5
Inequalities in Triangles
Campus Staff Dev.
Student Holiday
15
8.2 Special Rt Triangles
Obj: Derive and apply the
patterns for special right
triangles.
Study guide – Case 1 &
Case 2
Study for TEST Part I
Thursday
10 5-5 Inequalities in
Triangles
Friday
11 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
16
8.2 Special Rt Triangles
In class
page 292 (1-28, 31-32)
WS – Inequalities in One
Triangle
&
Finish p. 292 (1-28, 31-32)
17
8.2 Special Rt. Triangles
WS - Pythaorgean Theorem
More or Less
Obj: Derive and apply the
patterns for special right
triangles.
Obj: Apply the special
right triangle patterns and
Pythagorean Theorem to
solve problems.
Obj: Solve right triangle
problems. Apply the
Pythagorean Theorem to the
rectangular prism and to the
regular square pyramid.
TEST 1 (Part I)
Parts of Similar
Triangles & 5-5
Inequalities in Triangles
Due Wednesday
p. 428 #15-23, 25-26
WS 8.2 A
WS 8.2 Special Right
Triangles
(Define isosceles
trapezoid. Do some
sample problems.)
18
Right Triangles
Worksheet – Right Triangle
Practice
Worksheet on Right
Triangles
Study for TEST Part II
25
8.5 Angles of Elevation &
Depression
p. 294 (35-37)
WS-Inequalities in 2
Triangles
21
M. L. King Day
No School
22
Pyth. Thm. in 3D
23
8.3 & 8.4 Trig Ratios
24 8.5 Angles of
Elevation & Depression
Obj: Apply the
Pythagorean Theorem to
3D figures. Assess
special right triangles and
the Pythagorean Theorem.
Obj: Define and analyze
the trig ratios – tangent,
sine, and cosine. Use the
calculator to find segment
lengths and angle
measures.
Obj: Define and apply
angles of elevation and
depression to solve
problems.
WS – Pythagorean
Theorem in Three
Dimensions
TEST 1 (Part II)
Special Right Triangles
& Pyth. Thm
28
29
Review
Review
Obj: Compare and contrast
methods for solving
problems involving right
triangles.
WS – Ch. 8 Extra Practice
(with answers)
Quiz over Pyth. Thm. in 3D
and Trig.
Obj: Compare and
contrast methods for
solving problems involving
right triangles.
Go over quiz &
worksheet.
WS – Trig Ratios in Right
Triangles
30
Test over Right
Triangles (chapter 8)
Obj: Assess
understanding of chapter
8, right triangles.
6.1 Define Special Quads
For homework: read pages
306-308 and work the
following problems:
p. 308
(1-12, 19-26, 45-48)
End of Progress 5
(Subject to change)
p. 447 #1-8 & p. 442 #25,
28-29 (in class)
p. 437 (53-58)
p. 447 #9-18, 23, 28, 29
p. 434 #10, 22, 23
31 6.2 Properties of
Parallelograms
Obj: Derive and apply the
properties of
parallelograms.
Study Guide
WS – Parallelograms
p. 316 (12-16, 31-33, 41)
Obj: Apply all of the
trigonometric techniques to
solve problems. Assess
understanding of the
Pythagorean Theorem in 3D
and trigonometric ratios.
WS – Angles of Elevation &
Depression
p. 441 #10, 17, 22, 24, 31,
33
Class Activity – Too Tall to
Measure
February 1
6.3 Prove Quad. is a
Parallelogram
Obj: Derive and apply the
ways of proving that a
quadrilateral is a
parallelogram. Verify that a
quadrilateral is or is not a
parallelogram by coordinate
methods. Introduce verifying
parallelogram from coord. of
4 points
Study Guide
WS – 6.3 Parallelograms
(front & back)
Page 325 (14-19, 26)
Parallelograms
5
6.5 Trap. & Isos. Trap.
Obj: Derive the properties
of special parallelograms.
Extend coordinate methods
to the rectangle and the
rhombus.
Obj: Analyze isosceles
trapezoids and apply their
properties to find segment
lengths and angle
measures.
Study Guide
WS – Rectangles, Squares
& Rhombi (6.4) (32
problems)
Study Guide
WS- Trapezoids (6.5)
Work a couple more
coord. examples in class
WS – Kites & Coord Work
with Quadrilaterals
Quiz over 6.1-6.3
Introduce Kite Project
11
12 Midpt. Quads.
4 6.4 Special
Comparing & Contrasting
Quads.
Obj: Compare and contrast
quadrilaterals and their
properties.
Pg. 309
(29-41, 50-53, 56-59)
WS –Quadrilateral
Relationships
Fill in Chart of properties of
quadrilaterals
18
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.
pg. 548
(1-3, 10-18, 24-25, 29)
pg. 561 (1, 4, 7, 8)
2510-8 Geometric
Obj: Analyze
quadrilaterals formed by
connecting the midpoints
of consecutive sides.
WS-Quad. from Midpoints
(in class)
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 Work Day
Have the kids work
together in groups to
practice finding the
area of polygons.
Review for 10.1 – 10.2
Quiz
6
7 6.6 Placing Figures in
8 6.7 Proofs using Coord
6.5 Kites & Coord Work
Obj: Derive and apply the
properties of a kite.
Classify quadrilaterals by
coordinate methods.
the Coord. Plane
Geom.
Obj: Prove properties of
Obj: Analyze the best
placement of figures in the
coordinate plane.
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
Teach 6.7 today
Quiz over Special
Parallelograms &
Trapezoids
13
14
15
Review
Test on Quadrilaterals
10-2 Area of Trapezoids,
Rhombuses & Kites
Obj: Review
quadrilaterals, their
properties, and coordinate
methods for verifying
each.
10-1 Area of
Parallelograms &
Triangles
Obj: Assess
understanding of
Quadrilaterals, chapter 6.
Obj: Analyze and apply
methods for finding the
area of parallelograms and
triangles, including the
dissection and surround
methods.
20 Continue 10-3 and 105
Obj: Find area of triangles
by trig. Find shaded areas
by applying all of the area
formulas.
pg. 561 (2, 25, 11-17)
Worksheet with Heron’s
Theorem and Circle
Area/Perimeter
Quiz on 10-1 and 10-2
27 Test on Ch. 10
Probability
Obj: Apply concepts of
probability to distance and
area.
p. 584
(1-6, 15-20, 23-26, 32-35,
47)
Worksheet – Shaded Areas
4
TAKS
ELA
11-1 Space figures and
Cross Sections
Obj: Describe and analyze
cross sections of solid figures.
Use plastic cubes with colored
water to “see” cross sections.
In class using cubes
p. 603 (46-54)
HW: p. 601 (1-19, 21-29,
36)
Obj: Compare and
contrast methods for
finding the perimeter and
area of polygons, circles,
sectors, segments, and
composite figures.
Pg. 344 (2-7, 9-15, 22-27)
Homework: p. 536
(1-9; 12-14; 19-27; 32-39)
Geoboard Worksheet
Obj: Assess
understanding of Area and
Perimeter – Chapter 10.
Obj: Apply algebraic skills
to find area.
pg. 542 (4, 8-18, 22-32, 35)
End of Progress 6
21 10-6 Circles and Arc
22 10-4 Perimeters and
and 10-7 Areas of Circles
& Sectors
Obj: Review
circumference and area of
a circle. 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.
p. 571 (57-59)
p. 578
(22, 25-28, 30, 32, 35, 40)
Worksheet – Arc Length,
Sector Area, Segment
Area
March 1
1-2 continued
p. 13 (1-9, 18-20, 35)
Worksheet
Isometric dot paper &
square dot paper provided
for book work
5
6
7
District
Assessment
11-3 Surface Areas of
Pyramids and Cones
p. 612
(5-12, 16, 19, 21, 22, 24,
27-30, 33-35) p. 253 (1-4
Quiz 10-3 & 10-5
1-2 Drawings, Nets, and
Other Models
HW: Worksheet – Algebra
& Areas
Obj: Derive and apply the
formulas for lateral area
and surface area of right
prisms and cylinders.
p. 555
(2, 3, 5-10, 13-16, 19-22, 2832, 35-37, 41-44)
28
WS - Chapter 10 Review
11-2 Surface Areas of
Prisms and Cylinders
Obj: Develop and apply the
formulas for area of a
trapezoid and for
quadrilaterals with
perpendicular diagonals –
rhombus, kite, square, and
others.
(include geoboard methods)
Hw: Study for Quiz
26 Review Chapter 10
Use Practice 6-6 as a
study guide
In groups of 2 or 3, find 8
different nets for a pyramid
with a square base. Use
polyhedrons (clicktogethers).
p. 13 (11-16, 23-30, 34)
“Packet” of pattern folding,
etc.
Obj: Derive and apply
formulas for lateral area
and surface area of
regular pyramids and
cones.
p. 620
(1, 2, 4, 5, 9-11, 18, 19,
21, 23, 27-30)
Spring Break—March 11-15
(Subject to change)
8 Kite Day!
18
Review
19
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
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)
20
Extra day to review
21
22
Review for Test
Obj: Solve lateral area
and surface area
problems, including some
nonformula problems.
11-4 Volumes of
Prisms & Cylinders
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)
Quiz 1-2, 11-1, 11-2, &
Algebra and Areas
End 3rd Nine Weeks
Geometry Pre-AP – FBISD – 4th 9 weeks 2013 – 2014 (Subject to Change)
Monday
25
TEST 1.2, 11.1 – 11.3
Homework: page 75 #1-19
(TAKS Tune-up)
Tuesday
26 11-5 Volumes of
Wednesday
27 11-6 Surface Area &
Pyramids & Cones
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.
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)
Page 640 (1, 2, 5, 8, 10,
12, 13, 16-24, 29, 34, 35,
37, 38)
Optional Orange Activity
Thursday
28 Composite figures
Friday
29
Good Friday
No School
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
April 1
2
3
4
5 11.7 Areas & Volumes
of Similar Solids
STAAR English I Writing &
Reading
STAAR English I Writing
& Reading
STAAR English II
Writing & Reading
STAAR English II Writing
& Reading
Obj: Use ratios to solve
problems involving similar
figures.
Page 648 (1-10, 12-15, 1718, 20, 22, 24, 29, 34, 35)
Worksheet – Area and
Volume Review
8
Frustums & More
Practice
9
Volume of Rotational
Solids
10
11
12
Test Review
Test over Surface Area
and Volume
(11-3 – 11-7 & WS)
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.
Obj: Find the surface area
and volume of frustums by
applying similar solids. Apply
concepts of surface area
and volume to solve
problems.
Card Deck Matching
Activity – Volumes of
rotation(for a daily grade)
Page 636 (32, 34)
Page 649 (11, 16, 37)
Worksheet - Frustums
Page 652 (1-2)
Hw: Work on top 10 TAKS
strategies
Review for Test
15
16
17 12-4 Angle
18
19
12-2 Chords and Arcs
12-3 Inscribed Angles
Obj: Develop and apply
relationships between
circles, chords, and arcs.
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.
Measures
and Circles (exterior)
12-4 Segments and
Circles (Interior)
Obj: Apply relationships
between circles, arcs,
angles, and segments.
p. 673 (3-8, 11-18, 26, 27,
30-32, 34)
Hand out Sphereland study
sheets.
Read through page 26 by
Friday, April 19
p. 681 (5-24, 28, 42-44)
Hw: Finish the homework
from Friday
p. 570 (15-26, 42-47, 49-53,
70)
p. 665 (1-4, 8-15, 20, 22, 25,
26, 28)
End of Progress 7
Obj: Understand and
apply relationships
between angles with their
vertex in the interior and
in the exterior and their
intercepted arcs.
p. 691 (1-8) and WS
Finding Angle Measures
in Circles
(Subject to change)
Obj: Understand and
apply relationships
between segments and
circles.
p. 691 (9, 11-28, 36, 40,
41) p. 685 Checkpoint
Quiz on 12-1 through the
angle part of 12-4
WS – Chapter 12
Assign Sphereland, Part I
The Straight World –
pages 27-82
22
23 TAKS Testing
EXIT Math
24 TAKS Testing
EXIT Science
Sphereland
Obj: Understand the social
and mathematical progress
through history by an
analysis of dimensions in
Sphereland.
Show Flatland video???
HW: Finish Part I pages 2782 , start part II pages 83 –
119
25 TAKS Testing
EXIT Social Studies
Sphereland
Sphereland
Sphereland
Obj: Understand the social
and mathematical progress
through history by an
analysis of dimensions in
Sphereland
Obj: Summarize the
strands throughout
Sphereland: possibility of
third dimension, role of
women, attitude of
society, and kinds of
reasoning.
Discuss the introduction
through page 26.
HW: Finish Sphereland
Part I 27-82 and study
guide, work on Part II
pages 83 - 119
Discuss Sphereland
through page 82 (Part I)
HW: Finish Sphereland,
Part II pages 83 -119,
start Part III pages 120 –
170
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
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
3
30
May 1
2
relationships between
circles, arcs, angles, and
segments.
TEST over Circles – 10-6
and 12-1 to 12-4
Sphereland
Obj: Examine the rolls of
women, social structure
and history by Discussing
Sphereland Part IV
Sphereland
Obj: Assess
understanding of
relationships between
circles, arcs, angles, and
segments.
Sphereland
Discuss Part II
29 Obj: Review
Study for the test
26
Quiz over all of Sphereland
Obj: Summarize the
strands throughout
Sphereland and their
relevance to today.
Review Sphereland with “I
have, who has?” Card Act
(2 daily grades)
End of Progress 8
6
7
8
9
10
STAAR Algebra I*
STAAR Chemistry
STAAR World Geography*
STAAR Algebra II
STAAR Biology*
STAAR U.S. History
STAAR Geometry*
STAAR Physics
STAAR World History
STAAR Make-ups
13
14
15
16
17
12-5 Circles in the
Coordinate Plane
3D Coordinate System
More Locus work
More Locus work
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: 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)
20
More Locus Work
Obj: Understand
coordinate geometry from
a dimensional viewpoint.
Locate points in space.
Locate planes in space.
WS – Coordinate
Geometry from a
Dimensional Viewpoint;
WS- Coordinates in 3D
21
Review
Obj: to discuss what
happens when two Loci
intersect.
3D Coordinate System
Obj: Match equations,
pictures, and descriptions
of planes in space.
3D Card Matching
Activity (counts as a daily
grade)
WS 2 - Coordinates in
Space
28
Memorial Day
No School
Spherical, Taxi and
Euclidean Geometry
Review.
Obj: To review the
three types of Geometry
and compare and contrast
the different rules.
Quiz over Spherical and
Quiz over 12-5 and 3D
coordinate system
WS – Locus of Points
22
23
24
Test over 12-5, 3D
coordinate system, Locus
of Points, and
Intersection of Loci
Spherical Geometry
Taxicab Geometry
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.
29
30 Review for final exam
31
WS – Intersection of Loci
27
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
Review for final exam
Review for final exam
(Subject to change)
Taxicab Geometry
June 3
Semester Exams
Semester Exams
5
Semester Exams
2nd Period Exam
4th Period Exam
3rd Period Exam
5th Period Exam
4
6
7
Semester Exams
Teacher Workday
6th Period Exam
(12:30 – 2:30)
(Subject to change)
1st Period Exam
7th Period Exam