Download Unit 1 Lessons Aug. 2015 - Campbell County Schools

Teacher: Faye Smith
Course: Geometry
Unit 1 –Proof, Parallel and Perpendicular Lines
Part 1: Precise Definitions & Logical Reasoning
Part 2: Segments, Angles, Distance & Midpoint
Part 3: Writing Proofs for Parallel & Perpendicular Lines
MAPS , Unit 1 Review and Summative Assessment
Week: 1-2, Aug 12-21, 2015
Week 3, Aug. 24-28, 2015
Week 4-5, Aug.31- Sept.11, 2015
Week 6, Sept. 14-19, 2015
Essential Questions: Why are properties, postulates and theorems important in mathematics? How are segments, angles, parallel and perpendicular lines u
in real-world settings?
Standards & Mathematical Practices: MP 2, 4, 6, 7; G-CO.A.1, G-GPE.B.6, G-CO.C.9, G-GPE.B.5
Learning Target
W
8/12
Welcome
to Geometry
TH
8/13
G-CO.1, MP #6
I can recognize & name
simple geometric
structures: represent in
words & symbols
.
F
8/14
MP #2
I can give examples of
inductive reasoning, make
Activity
Assessment
Homework
Materials/
Technology/Vocabular





 None
Return Signed Parent
Letter by Friday
 Syllabus
 Sentence strips
 Group
Observation/Participation
 White boards
#20 p. 12
 Springboard text
 Group
Observation/Participation
 Springboard Act. 2-1 Practice
Have a wonderful
weekend!
 Springboard Book
 Geometry Sleuth
project sheets
Classroom Management Plan
Syllabus/Expectations
Table Introduction “Countdown”
Establish Group Norms
What’s in a Name?—geometry term
activity
 Set up Binders
 Pass out Text; Getting Ready, p. 2
 Deconstruct Embedded Assess #1
1-1&2 Geometric Figures
 Think/Pair/Share: *prior knowledge
 Whole group: -Spring Board (SB) p.
3-12 with whiteboards
 Review Assignment
2-1 Riddle Me This
 Discuss Geometry Sleuth Project
conjectures, and predict
outcomes.
 Look for a Pattern: Inductive
Reasoning: SB, 2-1, #1-7
 Think-Pair-Share SB 2-1, #8-14
 Independent: #15
 Fibonacci video
Geometry Project
Geometry Sleuth
DUE Mon., Sept. 15
 Rulers
Vocabulary: inductiv
reasoning, conjecture
Fibonacci sequence
Learning Target
Activity
Assessment
Homework
Materials/
Technology/Vocabula
M
8/17
MP #2
I can give examples of
inductive & deductive
reasoning. I can begin
with facts and take
logical steps to a
conclusion.
Warm Up Week 1
2-2 Deductive Reasoning
 Prove your conjecture: SB, 2-.2, #19, whole group
 Thin- Pair-Share, #10-14
 Table groups, #15-19
 Whiteboards, Practice p.23-24
 #10-14, written justifications
 Practice on whiteboards
Complete Practice if
needed

T
8/18
G-CO.1
I can give reasons for a 2column algebra proof;
write IF-THEN
statements & other
versions for such
Warm Up Week 1
3-1&-2 The Axiomatic System of
Geometry & Conditional Statement
 Guided Reading, #1-4, p.25-26
 Independent work 3-1, # 5-12
 Whole Group SB 3-2, If-Then
Statements
 Think-Pair –Share, CYU p.30
 Check Your Understanding, p
30
SB p.31, Practice,
#8-12
 Springboard text
 Whiteboards
Vocabulary: undefine
terms,
conclusion,
counterexample,
converse, inverse,
contrapositive
W
8/19
MP #2
I can test IF-THEN
statements with Venn
diagrams; & chains of
reasoning to draw
conclusions
Warm Up Week 1
 Review Assignment
3-3 Converse, Inverse, &
Countrapositive Models
 Guided Reading, #1-5, p.33
 Independent work , # 6-10
 Think-Pair –Share, #11-16
 CYU & Practice , p. 34
 Truth Table Activity
Logic Statement &
Truth Table
Worksheet
 Springboard text
 Whiteboards
 Around the World
Activity workshee
 Logic Statement
worksheet
Vocabulary:
Springboard
 Whiteboards
Vocabulary:
Deductive reasoning,
proof, theorem, model,
conclusion
TH
8/20
G-CO.1, MP #2 & 6
I can reason abstractly
applying the precise
definitions of basic
geometric concepts
.
F
8/21
M
8/24
T
8/25
 Around the Word, Truth Table
Activity
 Warm Up Week 1 Check
 Review Assignment-Add
improvements
 Partners: Embedded Assessment 1
 Small Group :
-Board game with Activity
Practices, p. 11-12, 23-24, 35-36
-Graph Calculator: Random Number
Generator
 Ask NOW!
 Unit 1 Part 1
SUMMATIVE ASSESSMENT:
5-10 multiple choice
3-5 short answer
2-3 real life applications
 Embedded Assessment 1
STUDY!
Unit 1, Part 1
Practice 1, 2 & 3
Check to be sure
there are NO
missing assignments
biconditional statemen
truth table
 Springboard text
 Game boards
 Graphing Calculat
Geometry Sleuth
SEE YOU at the
DANCE!
 Unit 1 Part 1 Test
Materials/
Technology/Vocabula
 Springboard text
Learning Target
Activity
Assessment
Homework
G-CO.1, MP #6
I know precise definitions
of segment& midpoint.
I can apply the Ruler &
Segment Addition
Postulates.
Return & Review Part 1 Assessment
Warm Ups Week 2, Day 1
“Unpack” Embedded Assess #2
4.1 Segment & Midpoints
 Whole Group: Guided Reading, p.
39
 Think-Pair-Share, #2-12
 Whiteboards, #13-21
 Whiteboard work, #13-21
Test Corrections
G-CO.1, MP #6
I know precise definitions
of angle and bisector.
I can apply the Angle
Addition Postulate.
Warm Ups Week 2, Day 2
4-2 Angles & Bisectors
 Whole Group: Guided Reading, p.
45
 Think-Pair-Share, #5-11
 Whiteboards, #12-15
Whiteboard work, #12-15
4-1 , #22-23,
Practice, p. 49, #116
Vocabulary:
Postulate; Ruler
Postulate, midpoin
congruent
4-2 , #16, Practice,
p. 49-50, #17-27
 Springboard text
Vocabulary:
Postulate; Angle
Addition Postulate
bisector
W
8/26
TH
8/27
F
8/28
M
8/31
Warm Ups Week 2, Day 3
5-1 Distance on the Coordinate Plane
 Discovery Activity: Use the
Pythagorean Theorem to develop the
distance formula using coordinates
 Think-Pair-Share, #1-16, p51-54
 Whiteboards, #17, 18,21-22
 Discovering Formula
 Whiteboards
Warm Ups Week 2, Day 4
5-2 Midpoint on the Coordinate Plane
 Discovery Activity: Use the
distance formula to determine the
midpoint of a segment
 Think-Pair-Share, #1-8, p55-57
 Whiteboards, #9-13
 Discovering Formula
 Whiteboards
G-CO.1, MP #6
I know precise definitions
of segment& midpoint.
I can apply the Ruler &
Segment Addition
Postulates
I can apply geometry to the
real-world.
Warm Ups Week 2, CHECK
Independent work: Embedded
Assessment 2
 Embedded Assessment #2
G-CO.9, MP #3
I can write statements to
justify steps.
I can organize my work as
a 2-column proof
Warm Up Week 3 Day 1
Review Assignment
Deconstruct Embedded Assess #3
6-1 Justifying Statement
 Guided Reading, 6-1. p. 62-63
 Think-Pair- Share CYU
 Whiteboards, Practice, #4-8
G.GPE.6
I can us use the
Pythagorean Theorem to
determine distance& apply
to real world
G.GPE.6, MP 7
I can us use the distance
formula to determine a
formula for midpoint
5-1, p.59 Practice
#1-14
 Springboard text
 Discovering Distan
Formula Activity
 whiteboards
Vocabulary:
distance
Project Day—Geometry Sleuth
 Whiteboards
5-2, # 14 p.60
Practice #15-25
Have a relaxing
weekend!
Yippee!
SB, #9, Practice,
p.71, #1-8
 Springboard text
 Discovering
MidpointFormula
Activity
 whiteboards
Vocabulary:
midpoint
 Warm Up CHECK
 Springboard text
 Geometry Sleuth
 Springboard text
Vocabulary:
2-column proof
Transitive property
T
9/01
 Proof Scramble
 Whiteboards
G-CO.9
I can prove that vertical
angles are congruent.
I can prove the measures of
angles of a triangle sum to
180°.
Entrance Slip—Proof Scramble
G-CO.9
I can create two column
Warm Up Week 3 Day 2
Review Assessment
7.1 Parallel Lines & Angle
Relationships
 Whole Group: Activity 7-1
 Think-Pair- Share p. 72-76, #1-14
 Whiteboards, Practice, #15-19
 Whiteboards
 Proofs
SB., #20,Practice, p.
87, #1-12
Review Assignment
SB, #7, 8, Practice,
p.72, #9-16
6-2 Two-column Proofs
 Guided Reading, 6-2. p. 66
 Think-Pair- Share Try These A-C
 Whiteboards, Practice, #1-6
 Springboard text
 Proof Scramble
Puzzle Pieces
Vocabulary:
Vertical angles
TH
9/03
G-CO.9
I can prove that lines are
parallel lines.
I can determine if lines are
NOT parallel
Warm Up Week 3 Day 3
Review Assessment
7.2 Proving Lines Are Parallel
 Whole Group: Guided Reading, p
79-86 #1-8
 Think-Pair- Share p. 83, #9-11
 Whiteboards, Practice, #12-15,
 SB., #16,Practice, p. 87, #1-13
 Whiteboards
 Proofs
Have a fun
weekend
 Springboard text
 Whiteboards
 protractors
Vocabulary:
Transversal,
Corresponding Angles
Same-side angles
Alternate
Interior/exterior angle
 Springboard text
 Whiteboards
M
9/08
G-CO.9
I can distinguish between
parallel and perpendicular
lines
Entrance Slip—Parallel Proof
Review Assessment
Review of Algebra content
--practice worksheet


Finish Practice &
CYU Activity 8
 Springboard text
 Whiteboards
W
9/02
proofs for parallel line
situations
Vocabulary:
Parallel
Perpendicular

M
9/07
No Classes
Labor Day
Holiday
T
9/08
G-CO.9
I can prove that lines are
perpendicular lines.
I can determine if lines are
NOT perpendicular
Entrance Slip—Parallel Proof
 Whiteboards
Review Assessment
 Proofs
7. 3 Proving Lines Are Perpendicular
 Whole Group: Guided Reading, p
79-82 #1-6
 Think-Pair- Share p. 86, CYU
 Whiteboards, Practice, #9-12
SB., #13,Practice, p.
87-88, #13-23
W
9/09
G-CO.9
I can use the slope of lines
to prove if the lines are
parallel or perpendicular
I can use the slopes of
parallel and perpendicular
lines to write equations for
these lines.
Entrance Slip—writing parallel
 Whiteboards
equations
 Proofs
Review of Unit 1 Parts 2 & 3
 Embedded Assessment 3
 Review Activities 4-8 concepts with
Board game & Extra Practice
Problem

Geometry Sleuth Project
SB., #16,Practice, p.
97-98, #1-21
TH
9/10
G-CO.1
I can apply precise
definitions to real world
situations.
F
9/11
MAPS TESTING
“Do Your Best!”
 Springboard text
 Whiteboards
Vocabulary:
Perpendicular
Perpendicular
bisector
 Springboard text
 Whiteboards
 Springboard text
 Students only phot
Geometry Sleuth Project
Due Monday, Sept. 14
Have a fun Fall
weekend!
M
9/14
MAPS TESTING
CONTINUES
T
9/15
G-CO.1, 9 MP #2, 4, 6, 7
I know precise definitions
of angle, perpendicular
line, parallel line and
segment
W
9/16
I can prove & apply the
concepts of: vertical
angles; angles of a triangle
sum to 180°; parallel lines,
perpendicular lines
I can determine the
distance and midpoint of
segments on a coordinate
plane.
TH
9/17
F
9/19
G-CO.1, 9 MP #2, 4, 6, 7
I can reason abstractly
applying the precise
definitions of basic
geometric concepts
I know precise definitions
of angle, perpendicular
line, parallel line and
segment
I can prove & apply the
concepts of: vertical
angles; angles of a triangle
Geometry Slueth
projects due today!
Entrance Slip—writing parallel
 Board Game problems
equations
Review of Unit 1 Parts 2 & 3
 Embedded Assessment 3
 Review Activities 4-8 concepts with
Board game & Extra Practice
Problems
STUDY!
Unit 1, Part 2 & 3
Practice 4-8
Check to be sure
there are NO
missing assignments
 Warm Up
 Springboard text
Game boards
 Ask NOW!
STUDY! For Unit
TEST
Unit 1 Part 2& 3 Test

Test Corrections
Previous assessments
Springboard text
Additional Resource:
www.RegentsPrep.o
 Summative Assessment
 Unit 1 Part 2 & 3
SUMMATIVE ASSESSMENT:
10 multiple choice
5 short answer;
2 Open Response
Correct scored test for Parts 2 & 3  Review Questions
 Review Solutions
 Identify areas of strength
 Identify areas for improvement
REVIEW FOR UNIT
SUMMATIVE ASSESSMENT:
UNIT 1 Proofs, Parallel &
Perpendicular Lines
ASSESSMENT
20 Multiple Choice
STUDY FOR
UNIT 1
ASSESSMENT
Springboard Unit 1
Multiple Choice
ASSESSMENT
sum to 180°; parallel lines,
perpendicular lines
I can determine the
distance and midpoint of
segments on a coordinate
plane.