Download PAP Geometry and 9th Grade Geometry Lesson Plans

PAP Geometry Lesson Plans
August 27
28
29
30/31
School and classroom
procedures
Handbook
Information card
Seating chart
Syllabus, rules etc
Algebra Review
Algebra Review
Work in groups and on the
board
9th-Points, Lines, Planes
PAP Summer Packet
9th-short review
9th Short Review
Language Objective: We will
review algebra by going over
select problems (9th).
I can graph, solve, and
manipulate linear and
quadratic equations by
solving for x and graphing.
Language Objective: We
will review algebra by
going over the summer
packet (PAP) by going over
select problems (9th).
I can graph, solve, and
manipulate linear and
quadratic equations by
solving for x and graphing.
Learning Objective: We
will investigate the
undefined terms in
geometry and use the
undefined terms to
determine definitions for
other geometric
vocabulary.
I can show points, lines, and
planes both visually and
symbolically by using geo
blocks and play-doh
PAP-Test over summer
packet
September 3
4
5
6/7
Labor Day
Quiz over points, lines, and
planes.
Distance and Length 1-3
All About Angles 1-4 & 1-5
Distance and Length
Learning Objective: We will
define words associated with
distance and length of lines,
segments, and rays.
I can measure distance and
length on a number line by
applying the Ruler Postulate,
applying the segment
postulate, and applying the
definition of midpoint.
PAP-Points, Lines, Planes
Learning Objective: We
will define words
associated with distance
and length of lines,
segments, and rays.
I can measure distance and
length on a number line by
applying the Ruler
Postulate, applying the
segment postulate, and
applying the definition of
midpoint.
Learning Objective: We will
define words associated
with angles.
I can understand and work
with angles and their angle
relationships by applying
the angle addition
postulate, classifying
angles, and applying
protractor postulate.
Circle-Using guided
questions
10
11
12
13/14
Finish Distance and Length
1-3
Start All About Angles
All About Angles 1-4 & 1-5
Classwork/Homework
Evaluating Foundations of
Geometry
Evaluating Foundations of
Geometry
All About Angles 1-4 & 1-5
Classwork/Homework
Evaluating Foundations of
Geometry
Major Test over Unit 1
Learning Objective: We
will find the distance and
length of lines, segments,
and rays.
Learning Objective: We will
define words associated with
angles.
I can measure distance and
length on a number line by
applying the Ruler
Postulate, applying the
segment postulate, and
applying the definition of
midpoint.
I can understand and work
with angles and their angle
relationships by applying the
angle addition postulate,
classifying angles, and
applying protractor
postulate.
17
18
19
20/21
PAPClasswork/Homework
Evaluating Foundations of
Geometry
PAPWarm up - radicals
Board Problems on special
right
True/False Statements
On One Condition
Conditionals in Mathematics
PAPWarm up - radicals
Board Problems on special
right
Algebraic and Geometric
Proofs
PAP
Learning Objective: We
will define words
associated with angles.
I can understand and work
with angles and their angle
relationships by applying
the angle addition
postulate, classifying
angles, and applying
protractor postulate.
24
Learning Objective: Given a
conditional statement, I will
write the inverse, converse,
and contrapositive.
I can determine the truth
value of a conditional
statement.
25
PAP
-
Linear Equations
Quiz – Algebraic
Proofs
HW – Linear
Equations Practice
Learning Objective –
I will find and graph
equations of lines on white
I can answer questions on
a test over points, lines,
planes, distance, length,
and angles.
Learning Objective: Given
a conditional statement, I
will prove the statement
true.
I can prove a conditional
statement true.
26
PAP
-
Learning Objective: We
will take a test over the
foundations of geometry.
-
Test – Logical
Reasoning
No HW
Learning Objective –
I will make an “A” on my test
by answering all my
questions correctly.
I can understand and work
with angles and their angle
relationships by applying
the angle addition
postulate, classifying
angles, and applying
protractor postulate.
-
Linear Equations
Quiz – Algebraic
Proofs
HW – Linear
Equations Practice
Learning Objective –
I will find and graph
equations of lines on white
boards and graph paper
I can determine equations
of lines, graph these
equations, and explain
slope, y-intercept, and xintercept.
27/28
PAP
-
Learning Objective: We
will define words
associated with angles.
PAP
-
Slope, distance,
and midpoint
HW – Slope /
Midpoint
Learning Objective –
I will find slope, distance,
and midpoint by plugging
points into an equation.
-
Distance
Quadratics
HW – Distance,
Quadratics
Learning Objective –
I will apply the properties of
quadratics through solving
equations (factoring) and
boards and graph paper
I can determine equations
of lines, graph these
equations, and explain
slope, y-intercept, and xintercept.
October 1
Linear Functions Part 2
Language Objective: We
can write an equation in
slope intercept form.
I can find the slope and yintercept of a line
I can apply logical reasoning
to conditional statements
and proofs.
2
What Did the Policemen Tell
the Burglar in the Bathroom?
Work in groups
Language Objective: We can
write an equation in slope
intercept form.
I can find the slope and yintercept of a line
graphing (characteristics).
I can find slope and
midpoint of a line given
two points.
I can find the distance
between two points.
3
What Did the Policemen
Tell the Burglar in the
Bathroom? Work in
groups Finish page 2
Language Objective: We
can write an equation in
slope intercept form.
I can find the slope and yintercept of a line
I can understand and apply
the properties of
quadratics.
4/5
-
Slope, distance, and
midpoint
HW – Slope /
Midpoint
Learning Objective –
I will find slope, distance,
and midpoint by plugging
points into an equation.
I can find slope and
midpoint of a line given two
points.
I can find the distance
between two points
October 8
9
10
11/12
-Slope, distance, midpoint
- quadratics
- Patterns
- Test Review
Unit 3 Test
CBA Review
CBA Exam
Language Objective: We
will write linear equations,
solve problems with
quadratics, and predict
outcomes from patterns
using notes and partners.
Language Objective: We will
write linear equations, solve
problems with quadratics,
and predict outcomes from
patterns in a testing
situation.
Language Objective: We
will prepare for a CBA by
reviewing all material
covered in this six weeks.
I can write linear equations,
solve quadratics, and use
patterns to solve algebraic
expressions.
I can write linear equations,
solve quadratics, and use
patterns to solve algebraic
expressions.
I can write linear
equations, prove
theorems, and solve
problems in Euclidean
Geometry.
October 15
16
17
18/19
Go over CBA
Item Analysis
Review Transformations
Parallel Lines and Angle Pairs
Parallel Lines and Angle
Pairs
Parallel Lines and Algebra
Language Objective: I will
make test corrections.
I can analyze my CBA using
an item anaylsis.
Language Objective: I will
use patty paper to make a
conjecture about special
angle pairs.
I can identify special angle
pairs that occur when tow
lines are cut by a transversal.
Language Objective: I will
create deductive
arguments of my
conjectures about special
angle pairs.
I can write a proof.
Language Objective:
I will solve for ‘x’ in
algebraic equations that
deal with angle pairs.
I can solve algebraic
equations that deal with
parallel lines and
transversals.
October 22
23
24
25/26
Review – Parallel Lines
Test – Parallel Lines
Transformations
Transformations
Language Objective:
I will solve problems dealing
with parallel lines and
transversals.
-
Language Objective:
I will shift geometric
objects on grid paper using
translations
I can solve problems and
prove situations true using
parallel lines and
transversals.
October 29
-
I can shift geometric
objects using translations.
30
Teacher Work Day
31
-
Rotations
Language Objective:
I will rotate objects using the
formulas derived in class
I can rotate objects using the
formulas derived in class.
November 5
-
Transformations
Review
Language Objective:
Translations
6
-
Dilations
Language Objective:
I will dilate objects using
the formulas derived in
class
I can dilate objects using
the formulas derived in
class.
7
-
Test –
Transformations
Language Objective:
-
Triangles –
Classifying
Language Objective:
-
Reflections
Rotations
Language Objective:
I will reflect and rotate
objects using the formulas
derived in class
I can reflect and rotate
objects using the formulas
derived in class.
November 1 – 2
-
Tesselations
Transformations
Review
Language Objective:
I will use patterns learned
in class to tessellate
geometric shapes.
I can tessellate geometric
shapes using geometric
patterns.
8/9
-
Triangles
A Different
Approach to
Classification
I will translate, reflect,
rotate, and dilate geometric
objects using notes and
graphing paper.
I will translate, reflect,
rotate, and dilate geometric
objects using notes and
graphing paper.
I can rotate geometric
objects.
I can reflect geometric
objects.
I can dilate geometric
objects.
I can translate geometric
objects.
November 12
I can rotate geometric
objects.
I can reflect geometric
objects.
I can dilate geometric
objects.
I can translate geometric
objects.
13
-
Theorems related
to Triangles
Language Objective:
I will prove theorems
related to triangles and
solve problems using the
theorems
I can prove triangle
theorems.
I can solve triangle
problems.
November 26
-
-
I can use special segments in
triangles to solve problems.
27
Triangle Basics Exam
Language Objective:
I will use the 7 congruent
4
-
Evaluating Congruent
Triangles
Language Objective:
I will use the 7 congruent
triangle theorems and CPCTC
Triangle
Relationships
Language Objective:
I will prove triangles are
acute, obtuse, or scalene by
using given facts.
15/16
-
Special Segments
(cont.)
Language Objective:
I will discover and use
special segments in
triangles.
-
Can you Prove It
Evaluating Triangles
Language Objective:
I will prove theorems
related to triangle using
given information.
I will review triangle notes
and worksheets to prepare
for a test.
I can solve triangle
problems.
29/30
-
I can review for a test over
triangle properties.
Proving Triangles
Congruent and
CPCTC
14
28
-
-
I can prove triangle
theorems.
I can use special segments
in triangles to solve
problems.
Language Objective:
I will review triangle notes
and worksheets to prepare
for a test.
-
I can classify triangles by
length of sides and by the
measure of their angles.
Special Segments
Language Objective:
I will discover and use special
segments in triangles.
Evaluating Triangles
December 3
I will classify triangles by
length of sides and by the
measure of their angles.
Congruent Triangle
theorems
HW: What makes
triangles
Congruent?
-
Congruent Triangle
theorems
HW: What makes
triangles
Congruent?
Language Objective:
I will learn the 7 congruent
triangle theorems by visual
representation and by
proof.
Language Objective:
I will learn the 7 congruent
triangle theorems by visual
representation and by
proof.
I can learn and understand
the 7 triangle congruence
theorems.
5
I can learn and understand
the 7 triangle congruence
theorems.
6/7
-
Unit Test –
Congruent
Triangles
-
Properties of
Similar Figures
triangle theorems to also
prove parts of those
triangles congruent.
I can prove parts of
triangles congruent using
CPCTC.
December 10
-
to prove triangles congruent.
I can prove triangles
congruent.
11
Proving Triangles
Similar
12
-
Postulates/Theorems
and Similar Triangles
13/14
-
Applications of
Similar Triangles
-
December 17
-
Exam Review
Language Objective:
I will do great on my final
exam by studying and
working hard.
I can great on my final
exam.
January 7, 2013
-
Teacher Workday
18
20/21
19
-
1st Period Exam
Exam Review
-
2nd / 6th Period
Exam
-
Language Objective:
I will do great on my final
exam by studying and
working hard.
Language Objective:
I will do great on my final
exam by studying and
working hard.
I can great on my final exam.
I can great on my final
exam.
8 Right Triangles
-
Pythagorean
Theorem
Converse of the
Pythagorean
theorem
Language Objective:
I will solve right triangle
problems using the
Pythagorean theorem.
I can solve right triangle
problems.
Mistakes Can Be
Costly
Review – Similar
Triangles
Final Exam Review
Thursday 5th / 3rd
Period Exam
Friday 4th / 7th
Period Exam
Language Objective:
I will do great on my final
exam by studying and
working hard.
I can great on my final
exam.
10/11
9
-
45-45-90 Triangles
1-1-2 Formula
Language Objective:
I will solve right triangle
problems using 45-45-90
rules of right triangles.
I can solve right triangle
problems.
-
30-60-90 Triangles
1-2-3 Formula
Applications of
Right Triangles
Language Objective:
I will solve right triangle
problems using 30-60-90
rules of right triangles.
I can solve right triangle
problems.
January 14 - Right Triangles
-
Trigonometric
Ratios
Sin/Cos/Tan
Language Objective:
I will solve right triangle
problems using Sine,
Cosine, and Tangent.
I can solve right triangle
problems.
15
16
-
Trig Ratios (Cont)
Language Objective:
I will solve right triangle
problems using Sine, Cosine,
and Tangent.
I can solve right triangle
problems.
17/18
-
Review of Right
Triangles
-
Right Triangles Test