Download Teacher: ________ Course: _____________________ Dates

Teacher:__________________________________ Course:_______________________________________________ Dates:______________________________
Class Time
Common Core
STANDARD:
Date: 11-7-11
PASS 2.3b- Apply interior
angle sum of convex
polygons to solve problems
Date: 11-8-11
Date: 11-9-11
Date: 11-10-11
Date: 11-11-11
PASS 2.3c- Develop and
apply properties of
quadrilaterals to solve
problems
PASS 2.3c- Develop and
apply properties of
quadrilaterals to solve
problems
PASS 2.3c- Develop and
apply properties of
quadrilaterals to solve
problems
PASS 2.3c- Develop and
apply properties of
quadrilaterals to solve
problems
Know:
The Polygon Angle Sum
Theorem
The properties of a
parallelogram.
The properties of a
parallelogram.
The properties of special
parallelograms: squares,
rectangles, and kites.
The properties of special
parallelograms: squares,
rectangles, and kites.
Understand:
What the theorem means
and how it applies to all
polygons.
How this relates to parallel
lines and transversals.
How this relates to parallel
lines and transversals.
Solve for unknown angles in
a parallelogram, determine
unknown lengths of
segments.
Solve for unknown angles in
a parallelogram, determine
unknown lengths of
segments.
Be able to recognize what
happens with the diagonals
of special parallelograms.
Be able to recognize what
happens with the diagonals
of special parallelograms.
Recognize when right
triangles exist and how to
apply the Pythagorean
theorem to those triangles.
Content
Interest
Process
Readiness
Product
Learning
Profile
Recognize when right
triangles exist and how to
apply the Pythagorean
theorem to those triangles.
Content
Interest
Process
Readiness
Product
Learning
Profile
Visual
Verbal
Interpersonal
Intrapersonal
Kinesthetic Natural
Logical/Mathematical
Do Now- Solve for
unknown and segments
using properties of
parallelograms.
Visual
Verbal
Interpersonal
Intrapersonal
Kinesthetic Natural
Logical/Mathematical
Do Now- Solve for
unknown and segments
using properties of
parallelograms.
Quiz- Triangle Angle Sum
Theorem, Polygon Angle
Sum Theorem, Linear
equations and slope.
Quiz- Triangle Angle Sum
Theorem, Polygon Angle
Sum Theorem, Linear
equations and slope.
Review of parallelogram
Review of parallelogram
By the end of this
lesson, students will…
Be able to Do:
Solve for unknown angles in
any polygon.
Differentiated
Instruction
Content
Process
Product
Multiple Intelligences
Opening:
15-25
Interest
Readiness
Learning
Profile
Visual
Verbal
Interpersonal
Intrapersonal
Kinesthetic Natural
Logical/Mathematical
Review of triangle angle
sum theorem.
Context & KUD
BAV
Connect to prior
knowledge
Direct Instruction
Practice setting up algebraic
equations to solve for
unknown angles.
Review angle pairs;
specifically, supplementary
and vertical angles.
Content
Process
Product
Interest
Readiness
Learning
Profile
Content
Process
Product
Interest
Readiness
Learning
Profile
Visual
Verbal
Interpersonal
Intrapersonal
Kinesthetic Natural
Logical/Mathematical
Do Now- problem involving
transversal and figuring out
corresponding angles.
Visual
Verbal
Interpersonal
Intrapersonal
Kinesthetic Natural
Logical/Mathematical
Do Now- problem involving
transversal and figuring out
corresponding angles.
Review of special angles
formed when a transversal
cuts across two parallel
lines.
Review of special angles
formed when a transversal
cuts across two parallel
lines.
Intro to properties of
parallelograms: opposite
Intro to properties of
parallelograms: opposite
Teacher:__________________________________ Course:_______________________________________________ Dates:______________________________
Provide rubrics for
group work
Demonstrate how to use
the polygon angle sum
theorem.
sides are parallel, opposite
sides are congruent, etc…
sides are parallel, opposite
sides are congruent, etc…
properties. Review of
diagonals of parallelograms.
Methods to figure out the
properties even if student
forgets the details.
properties. Review of
diagonals of parallelograms.
Methods to figure out the
properties even if student
forgets the details.
Learning Exp: 30-50
Students will work through
first 9 problems of practice
worksheet, calculating the
sum of all interior angles.
.Students will take notes on
parallelograms and apply
these concepts to basic
problems. Each property of
a parallelogram will be
followed by at least one
problem demonstrating the
application of the property.
.Students will take notes on
parallelograms and apply
these concepts to basic
problems. Each property of
a parallelogram will be
followed by at least one
problem demonstrating the
application of the property.
Students will then be given
their practice worksheet to
work through as a class. As
class progresses, students
will work on memorizing
the properties of
parallelograms and the
teacher will CFU.
Students will then be given
their practice worksheet to
work through as a class. As
class progresses, students
will work on memorizing
the properties of
parallelograms and the
teacher will CFU.
Students will take notes
focusing on the properties
of rhombuses and the
diagonals formed in all
three special cases.
Students will specifically
note when right angles are
formed and practice
remembering the
Pythagorean theorem as
soon as they see a right
triangle.
Students will take notes
focusing on the properties
of rhombuses and the
diagonals formed in all
three special cases.
Students will specifically
note when right angles are
formed and practice
remembering the
Pythagorean theorem as
soon as they see a right
triangle.
The problems build toward
a connection with previous
knowledge (parallel lines)
so that if students forget
properties of
parallelograms, they can
derive the properties from
previous knowledge.
The problems build toward
a connection with previous
knowledge (parallel lines)
so that if students forget
properties of
parallelograms, they can
derive the properties from
previous knowledge.
Students will then practice
drawing exaggerated
versions of each type of
parallelogram in order to
‘see’ what types of angles
are formed.
Students will then practice
drawing exaggerated
versions of each type of
parallelogram in order to
‘see’ what types of angles
are formed.
A practice worksheet will
then be given, with
students working their way
toward advanced problems
involving rhombus
diagonals and the
Pythagorean theorem.
A practice worksheet will
then be given, with students
working their way toward
advanced problems
involving rhombus diagonals
and the Pythagorean
theorem.
Small group
exploration of new
knowledge
Active, rigorous, and
relevant
Informal Assessment
Remediation
Individual Practice
Next, teacher will
demonstrate how using the
theorem enables you to
solve for an unknown angle
in a polygon.
Students will then complete
problems 13-16 on
worksheet, with the teacher
demonstrating 13 and the
students setting up 14.
Then students will take
notes on regular polygons
and apply this to problems
10-12.
Teacher:__________________________________ Course:_______________________________________________ Dates:______________________________
Closing:
10-20
Students share
discoveries with class
Self-Assessment:
What did I learn
today?
Review rubrics
What level of
understanding did
students reach?
Wrap-Up & lead in to
next class period
Students will then be given
homework sheet with
problems similar to the
practice sheet (they keep
the practice sheet as review
material). Students will
independently work on the
homework sheet as teacher
comes around for
remediation.
Finally, students will be
given a homework
worksheet with both similar
and more advanced
problems to complete.
Teacher will select
problems and CFU to make
sure students understand
the properties of
parallelograms.
Finally, students will be
given a homework
worksheet with both similar
and more advanced
problems to complete.
Teacher will select
problems and CFU to make
sure students understand
the properties of
parallelograms.
Students will be given a
homework set that has
scaffolded problems from
basic to challenging.
Teacher will help the
students get started and
will then move about the
class checking for
understanding and
remediating when
necessary.
Students will be given a
homework set that has
scaffolded problems from
basic to challenging.
Teacher will help the
students get started and will
then move about the class
checking for understanding
and remediating when
necessary.