Download 1 st 9 weeks 2014 – 2015 (Subject to Change)

Geometry Pre-AP – Clements HS – FBISD – 1st 9 weeks 2014 – 2015 (Subject to Change)
Monday
August 25 Review
Tuesday
26 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
27 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
28 2-2 Biconditionals &
Friday
29 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 1
2 2-3 Deductive Reasoning &
3 Chain Rule (Extension of 2-3)
41-3 Points, Lines, Planes
Obj: Apply equivalent
conditional statements, law of
syllogism, and the chain rule to
solve logic puzzles
Obj: Develop an awareness
of the structure of a
mathematical system,
connecting definitions and
postulates.
Symbolic Logic Proofs
Labor Day
No School
Obj: Understand and apply
deductive reasoning in writing
symbolic logic proofs.
Work Luann puzzle in class
HW: Finish
WS – Valid/Invalid Reasoning &
Error Analysis
WS – Symbolic Logic Proofs
8
Test
Reasoning and
Algebra Review
Finish HW from Thursday
Page 19 #2-24 even; 30-44
even; 46-49 all; 55-60 all; 6567 all
15 Pythagorean Theorem and
( Hand out Ad and conditional
statement project, Due Friday)
9 1-4 Segments, Rays, Parallel
Lines and Planes
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
16 1-8 The Coordinate Plane
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
Perfect Squares Quiz
Part 1
HW: WS – Working Logic
Puzzles I & II
Work 3 more symbolic logic
proofs
5
Review for Test
Obj: Review Objectives for
Reasoning Test
HW: Study for Test
HW: Page 19 #2-24 even; 3044 even; 46-49 all; 55-60 all;
65-67 all
(due Tuesday)
AD project Due
10 1-5 Measuring Segments and
11 1-5 continued
Subsets of Lines
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)
17 1-8 Continued – Distance
18 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)
Perfect Squares Quiz
Part 2
Obj: Compare and contrast
concepts for angles with
concepts for segments.
WS – Overlapping Segments
& Angles (done in class)
Sample clock problems
Quiz on segment distance,
Pythagorean Thm, &
midpoint
HW: Page 40 #13--40; 42-45;
47
Page 47 #9-12; 21; 25
Page 112 #12, 13; 30-32
(DUE TUESDAY)
12
Obj: Review multiplying
binomials and factoring
quadratics.
Quiz, 1-3, and 1-4.
HW: WS – Fun with
Factoring
Progress Report
19 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!
22
Test
Unit 1: 1-3, 4, 5, 8
and Pythagorean
Theorem
HW: Finish textbook
homework from Thursday
September 18th
23 Complementary &
24 Angles (continued)
Supplementary Angles
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.
Obj: Integrate solving systems of
equations with solving for
measures of angles. Identify
previous definitions, postulates,
and theorems in drawing
conclusions.
HW:
WS – Angle Pairs
WS – Drawing Conclusions 2
HW:
WS –Comp & Supp. Angles
WS – Drawing Conclusions 1
30
October 1
Segment and Angle Proofs
3-1 Properties of Parallel Lines
(angles created by transversals)
Review for Test
Work 2 more sample proofs.
HW:
WS - Proofs #1, 7, 8
WS – Drawing Conclusions 4
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
(HW due Friday)
Proofs
Obj: Write flow proofs
including segment and angle
concepts.
Introduce proofs using
substitution and transitive
properties. (work 2 of the 4
samples
Quiz (over assignments
from section 1-6, 1-7, and 19)
26
Holiday – Fort Bend
County Fair Day
HW: WS – Drawing
Conclusions 3
WS – Flow-proofs
(substitution & transitive)
WS – Supplements and
Complements
29
Obj: Write flow proofs
including segment and angle
concepts.
25 Segment and Angle
Go over Quiz & previous HW
2
3 3-2 Proving Lines Parallel ||
Test
1-9 and Angles
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
8 Review then quiz
9 3-4 Parallel Lines &
10 3-5 The Polygon Angle-
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
Progress Report
6 3-1 & 3-2 Continued
7 3-3 Parallel and Perpendicular
Remember that sum of angles
of a triangle is 180°
Lines
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
13 Review
Obj: Synthesize previous
material to create a review for
the test over chapter 3.
14
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
15 PSAT Testing
Test over Chapter 3
Hw: Graphing Equations of
Lines WS and pg. 177 (1-11 odd,
16, 18, 25-28, 40-43) – Due
Thursday
Take home equations of lines
matching activity, due Thursday
for daily grade
Work on equation of lines
matching activity, due tomorrow
for daily grade.
16 3-6 Lines in the
17 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)
Equations of Lines
Matching Activity Due
End of 1st Nine Weeks