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Transcript
1st QUARTER- Calendar
GEOMETRY/ALGEBRA 2
2012-2013 SCHOOL YEAR
DAY
DATE
1
7/23 M
2
7/24 T
3
4
5
6
7
7/25 W
7/26Th
7/27 F
7/30 M
7/31 T
TOPIC
Syllabus, Course Overview
Textbooks
1.1 Building blocks of Geometry
S4C1PO4 Apply properties, theorems, & constructions
about parallel lines, perpendicular lines, & angles to prove
theorems.
Euclid’s 5 postulates
ALGEBRA SKILLS 1: Midpoint S4C3PO1 Determine how
to find the midpoint between two points in the coordinate
plane.
1.2 Poolroom math (angles)
*NEED PROTRACTOR
S4C1PO4 Apply properties, theorems, & constructions
about parallel lines, perpendicular lines & angles to prove
theorems.
1.3 What’s a widget (writing definitions)
S5C2PO8 Use inductive reasoning to make conjectures,
use deductive reasoning to analyze & prove a valid
conjecture, and develop a counterexample to refute an
invalid conjecture. AND S4C1PO4
1.4 Polygons
S4C1PO4 Apply properties, theorems, & constructions
about parallel lines, perpendicular lines & angles to prove
theorems.
1.5 Triangles and Special Quadrilaterals
S4C1PO4 Apply properties, theorems, & constructions
about parallel lines, perpendicular lines & angles to prove
theorems.
S4C1PO7 Use the hierarchy of quadrilaterals in deductive
reasoning.
Quiz #1: 1.1-1.5
1.6 Circles
S4C1PO1 Use the basics properties of a circle
(relationships between angles, radii, intercepted arcs,
chords, tangents, & secants) to prove basic theorems &
solve problems.
Go over quiz
1.7 Using Pictures to solve problems and Activity
S4C1PO4 Apply properties, theorems, & constructions
about parallel lines, perpendicular lines & angles to prove
theorems
1.8 Activity
1.8 Space Geometry/Nets
S4C1PO2 Visualize solids & surfaces in 3-dimensional
space when given 2-dimensional representations and
create 2-dimensional representations for the surfaces of
3-dimensional objects
Homework – Subject to change
Algebra Review Packet
Supplies
Puzzle Paper
Signatures
P. 33-35 #1-33 odd
P. 37 #1-8
P. 42-45 #1-35 odd, 36-38
P. 51-53 #1-31 odds
P. 56-58 #1-27 odd, 35-38
P. 64-66 #1-31 odd
Puzzle Paper DUE
Algebra Review Packet DUE
P. 70-72 #1-8, 9, 13-33 odd
P. 76-77 #1-10 odd, 15, 17
P. 83-85 # 1-7 odd, 13-29
Review 1 Worksheet
8
8/1 W
Chapter 1 Review Book
S4C1PO5 Explore Euclid’s five postulates in the plane and
their limitations.
Chapter 1 Test/CLICK
P. 88 #1-55 odd
9
8/2 Th
10
8/3 F
2.1 Inductive Reasoning
2.2 Deductive Reasoning
S4C1PO3 Create & analyze inductive and deductive
arguments concerning geometric ideas & relationships.
P 96-99 #1-17odd, 23-38 NO
#27
P. 103-105 #1-7 odd, 11-19 odd,
& 20-33
Algebra Review 2 DUE
CLICK Essay DUE
11
8/6 M
12
8/7 T
Go over Chapter 1 Test
2.3 Finding the Nth Term
S4C1PO3 Create & analyze inductive and deductive
arguments concerning geometric ideas & relationships.
ALGEBRA SKILLS 2: SLOPE review
2.4 Mathematical Modeling
S4C1PO3 Create & analyze inductive and deductive
arguments concerning geometric ideas & relationships.
2.5 Angle Relationships
S4C1PO4 Apply properties, theorems, & constructions
about parallel lines, perpendicular lines & angles to prove
theorems.
Converse, Inverse, Contrapositive, & Truth Values
If…then statements: logical order & draw a conclusion
from if…then & minor premise…ACTIVITY
S5C2PO9 State the inverse, converse, & contrapositive of
a given statement and state the relationship between the
truth-value of these statements & the original
statements.
S5C2PO10 List related if…then statements in logical
order. AND
S5C2PO11 Draw a simple valid conclusion from a given
if…then statement and a minor premise.
Introduction of Proofs: Word Chains, Given to Conclusion,
Beginning Proofs
S4C1PO4 Apply properties, theorems, & constructions
about parallel lines, perpendicular lines & angles to prove
theorems.
Quiz #2: 2.1-2.4 and Vocabulary
2.6 Special Angles on Parallel Lines
S4C1PO4 Apply properties, theorems, & constructions
about parallel lines, perpendicular lines & angles to prove
theorems.
13
8/8 W
14
8/9 Th
15
8/10 F
16
8/13 M
16
8/13 M
Proofs: Parallel Lines and Vertical Angles and Reasoning
with Rules & Form A
S4C1PO4 Apply properties, theorems, & constructions
about parallel lines, perpendicular lines & angles to prove
theorems.
ALGEBRA SKILLS 3: Slope Review Perpendicular and
Parallel – In Class WKS
Go over Quiz
P. 109-111 #1-7, 10-14
P. 134 #1-10
P. 115-117 #1-7, 11-19 odd
P. 122-125 #1-11, 13-15, 19
Converse, Inverse,
Contrapositive WKS
Given to Conclusion WKS
Beginning Proofs WKS
P. 129-132 #1-7, 9-15
Algebra Review 3 DUE
Proofs: Parallel Lines and
Vertical Angles Worksheet
Form B
P. 165 #1-13 odd
17
8/14 T
Chapter 2 Review Book
Review Chapter 2 Worksheet
18
8/15 W
Chapter 2 Test
19
8/16 Th
Constructions: Segment Angle, Angle Bisector,
Perpendicular Bisector
Constructions: Erecting Perpendiculars and Dropping
Perpendiculars
Go over Chapter 2 Test
Basic Construction Quiz
Constructions: Triangles, Medians, Inscribed,
Circumscribed, Angle Bisectors, Perpendicular Bisectors,
Altitudes WKS
3.1-3.2 WKS
Go over Quiz
Constructions: BIG Triangle WKS…Euler Segment
4.1 Triangle Sum Conjecture
S5C2PO10 Solve problems using right triangles, including
special triangles.
4.2 Properties of Special Triangles
S5C2PO10 Solve problems using right triangles, including
special triangles
4.3 Triangle Inequalities
4.4 SAS, SSS
S4C1PO8 Prove similarity and congruence of triangles
4.5 ASA, AAS
BIG Congruent Triangle Packet
S4C1PO8 Prove similarity and congruence of triangles
Quiz #3: 4.1-4.3 and Vocabulary
Proofs: Congruent Triangles
S4C1PO4 Apply properties, theorems, & constructions
about parallel lines, perpendicular lines, & angles to prove
theorems
Finish Definitions
Go over Quiz
4.6 CPCTC/Proofs
S4C1PO8 Prove similarity and congruence of triangles
T-Shirt DUE
20
21
8/17 F
8/20 M
22
8/21 T
23
8/22 W
24
8/23 Th
25
8/24 F
26
8/27 M
27
8/28 T
28
29
8/29 W
8/30 Th
4.8 Proving Isosceles Triangles Conjectures Investigation
S4C1PO4 Apply properties, theorems, & constructions
about parallel lines, perpendicular lines, & angles to prove
theorems
Algebra Skills 4: Writing Linear Equations
Review
Chapter 4 Test
30
8/31 F
5.1 Polygon Sums (using algebra)
P. 138-140 #1-25 odd & 26
3.1-3.5 WKS
Constructions WKS
Algebra Review 4 DUE
P. 201-203 #2-8, 10-12, 17-22
P. 206-207 #1-6, 10-11, 15-19,
22-21
P. 216-218 #1-16 odd, 19-23
P. 222-224 #1-6, 8-15, 20, 21,
23
P. 227-229 #1-16
T-SHIRT Project
Concurrent Triangle Proofs
WKS
Algebra Review 5 DUE
Write congruency conj.
P. 231-233 #1-11, 13-15, 18, 23
P. 243 #1-3, 11
P. 249-252 #7-31
P. 212 # 1-14
Review Packet
5.2 Exterior Angles of a Polygon
P. 257 #1-14, 18, 20, 22
P. 262 # 2-16
S4C1PO6 – Solve problems using angle and side length
relationships and attributes of polygons.
Algebra Review 6 DUE
31
9/4 T
Go over Test
32
9/5 W
Quiz #1: 5.1-5.3
5.3 Kite and Trapezoid Conjectures
S4C1PO6 – Solve problems using angle and side length
relationships and attributes of polygons.
5.4 Properties of Midsegments
P. 269 #1-9, 17
Definitions Chapter 5
Midsegment WKS
33
9/6 Th
34
9/7 F
S4C1PO6 – Solve problems using angle and side length
relationships and attributes of polygons.
S4C3PO4 – Verify characteristics of a given geometric figure
using coordinate formulas, for distance, midpoint, and slope to
confirm parallelism, perpendicularity, and congruence.
Go over quiz
5.5 Properties of Parallelograms
S4C1PO6 – Solve problems using angle and side length
relationships and attributes of polygons.
S4C1PO7 – Use the hierarchy of quadrilaterals in deductive
reasoning.
Algebra Skills - Solving Systems of Linear Equations
5.6 Properties of Special Parallelograms
S4C1PO6 – Solve problems using angle and side length
relationships and attributes of polygons.
S4C3PO4 – Verify characteristics of a given geometric figure
using coordinate formulas, for distance, midpoint, and slope to
confirm parallelism, perpendicularity, and congruence.
S4C1PO7 – Use the hierarchy of quadrilaterals in deductive
reasoning.
CLICK Geometry Riddle
P. 281 #1-6, 11, 15-20
P. 286 #1-8
P. 290 #1-16, 20, 25, 27-29
Algebra Review 7 DUE
35
9/10M
5.7 Proving Quadrilateral Properties
S4C1PO6 – Solve problems using angle and side length
relationships and attributes of polygons.
S4C3PO4 – Verify characteristics of a given geometric figure
using coordinate formulas, for distance, midpoint, and slope to
confirm parallelism, perpendicularity, and congruence.
S4C1PO7 – Use the hierarchy of quadrilaterals in deductive
reasoning.
36
9/11 T
Chapter 5 Review
37
9/12 W
Chapter 5 Test
38
9/13 Th
P. 310 1-12, 19, 22
P. 315 1-5 17-19, 20, 22
39
9/14 F
6.1 Chord Properties
6.2 Tangent Properties
S4C1PO1 – Use the basic properties of a circle to solve basic
theorems and solve problems.
6.3 Arcs and Angles
Circle packet - AIMS Reference Sheet Circles
S4C1PO1 – Use the basic properties of a circle to solve basic
theorems and solve problems.
6.4 Proving Circle Conjectures
6.5 The Circumference/Diameter Ratio
S4C1PO1 – Use the basic properties of a circle to solve basic
theorems and solve problems.
Quiz 6.1-6.4
6.6 Problem Solving - Conversions
More Circle packet - AIMS Reference Sheet Circles
S4C1PO1 – Use the basic properties of a circle to solve basic
theorems and solve problems.
Go through Quiz
6.7 Arc Length
S4C4PO2 – Find the length of a circular arc.
Chapter 6 Review
P. 327 2-9
p. 333 1-13, 15, 19
40
9/17 M
41
9/18 T
42
9/19 W
43
9/20 Th
District Benchmark Test ?
Chapter 6 Review WKS
P. 296 #2-10
CLICK Geometry Riddle – DUE
P. 300 #7-13, 15, 17, 25-27
P. 322 1-17, 22
Algebra Review 8 DUE
Definitions/Conjectures
Circle Packet 2-7
P. 338 1-6, 13-15
p. 343 1-8, 15
P. 349 5-19, 25, 26, 31-32
44
9/21 F
Chapter 6 Test
Semester Final Review Packet
Algebra Review 9 DUE
45
9/24 M
Translation and Reflections WKS
Rotation WKS
46
9/25 T
47
9/26 W
Translation and Reflections - Problems w/in 1.7
Rotation
S4C2PO1 – Determine whether a transformation of a 2dimensional figure on a coordinate plane represents a translation,
reflection, rotation, or dilation and whether congruence is
preserved.
S4C2PO2 – Determine the new coordinates of a point when a
single transformation is performed on a 2-dimensional figure.
Dilation
Compound Transformations and Transformation Review
S4C2PO1 – Determine whether a transformation of a 2dimensional figure on a coordinate plane represents a translation,
reflection, rotation, or dilation and whether congruence is
preserved.
S4C2PO2 – Determine the new coordinates of a point when a
single transformation is performed on a 2-dimensional figure.
Final Review
48
9/27 Th
Geometry Semester 1 Final Exam
49
9/28 F
Hamiltonian Paths and Euler Circuits
Weighted Graphs and Matrices
Who is the Winner?
S2C4PO1 – Solve network problems using graphs and matrices.
Dilation WKS
All Transformations WKS
Worksheet #1
Worksheet #2
Worksheet #3
Algebra Review 10 DUE