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Transcript
Jane Long Academy Lesson Plan Template with Unpacking the Standards
2015-2016
Course: Math 8
Teacher: Carouthers
Lesson Plan Week of: 11-1-15 to 11-20-15
MondayTEKS:
Ⓢ MATH.8.6A
(R) - Readiness
Standard
(S) -Supporting
Standard
ELPS (Language
Describe the volume
formula V = Bh of a
cylinder in terms of its
base area and its
height.
Pre-Planning: Unpacking the Standards
Objective)
MATH.8.6B Model the
relationship between
the volume of a cylinder
and a cone having both
congruent bases and
heights and connect
that relationship to the
formulas.
Tuesday-
Wednesday-
Thursday-
Common Assessment 3
Ⓢ MATH.8.4A Use similar
right triangles to develop
an understanding that
slope, m, given as the rate
comparing the change in
y-values to the change in
x-values, (y – y )/(x – x ),
Wheel of Pythagoras
project
Ⓢ MATH.8.4A Use similar
right triangles to develop
an understanding that
slope, m, given as the rate
comparing the change in
y-values to the change in
x-values, (y – y )/(x – x ),
2
Verb(s)
- What verbs define the
actions students will need
2
1
is the same for any two
points (x , y ) and (x , y )
1
1
2
2
on the same line.
Ⓢ MATH.8.8D Use
informal arguments to
establish facts about the
angle sum and exterior
angle of triangles, about
the angles created when
parallel lines are cut by a
transversal, and the
angle-angle criterion for
similarity of triangles.
Expressions,
Equations, and
Relationships. The
student applies
mathematical process
standards to use
geometry to solve
problems. The student
is expected to:
Ⓡ MATH.8.7A Solve
problems involving the
volume of cylinders,
cones, and spheres.
Use
1
Use
The Wheel of Theodorus is
also called the Spiral of
Theodorus,
the Square Root Spiral,
Einstein Spiral, or
Pythagorean Spiral.
It was first constructed by
Theodorus of Cyrene.
The smallest triangle is a 11-√2 right triangle. Each
right triangle
after that is formed by
using the hypotenuse of the
preceding triangle
as a leg of the new triangle,
adding a leg of size 1 at
right angles to that new leg.
In this drawing the largest
triangle has a hypotenuse
of √17.This makes a great
Math Art project for
students learning about
square roots.
credit:
Use
2
1
2
Friday-
1
is the same for any two
points (x , y ) and (x , y )
1
1
2
2
on the same line.
Ⓢ MATH.8.8D Use informal
arguments to establish facts
about the angle sum and
exterior angle of triangles,
about the angles created
when parallel lines are cut
by a transversal, and the
angle-angle criterion for
similarity of triangles.
Use
Quiz; Spiral
TEKS
Ⓢ MATH.8.4A Use similar
right triangles to develop an
understanding that slope,
m, given as the rate
comparing the change in yvalues to the change in xvalues, (y – y )/(x – x ), is
2
1
2
1
the same for any two points
(x , y ) and (x , y ) on the
1
1
2
2
same line.
Ⓢ MATH.8.8D Use informal
arguments to establish facts
about the angle sum and
exterior angle of triangles,
about the angles created
when parallel lines are cut by
a transversal, and the angleangle criterion for similarity
of triangles.
Use
Jane Long Academy Lesson Plan Template with Unpacking the Standards
2015-2016
Course: Math 8
Teacher: Carouthers
Lesson Plan Week of: 11-1-15 to 11-20-15
to take?
Vocabulary
(Academic and Content)
Lesson Topic
(Content Objective)
ELPS (Language
Objective)
Key Concepts
•angle-angle criterion
•informal argument
•similarity
•triangle
Academic Vocabulary
•congruent
•corresponding angles
•corresponding sides
•indirect measurement
•proportional
•similar triangles
Key Concepts
•angle-angle criterion
•informal argument
•similarity
•triangle
Academic Vocabulary
•congruent
•corresponding angles
•corresponding sides
•indirect measurement
•proportional
•similar triangles
Key Concepts
•angle-angle criterion
•informal argument
•similarity
•triangle
Academic Vocabulary
•congruent
•corresponding angles
•corresponding sides
•indirect measurement
•proportional
•similar triangles
Key Concepts
•angle-angle criterion
•informal argument
•similarity
•triangle
Academic Vocabulary
•congruent
•corresponding angles
•corresponding sides
•indirect measurement
•proportional
•similar triangles
Key Concepts
•angle-angle criterion
•informal argument
•similarity
•triangle
Academic Vocabulary
•congruent
•corresponding angles
•corresponding sides
•indirect measurement
•proportional
•similar triangles
I will be able to Use
similar right triangles to
develop an understanding
that slope, m, given as the
rate comparing the
change in y-values to the
change in x-values.
I will be able to Use
similar right triangles to
develop an understanding
that slope, m, given as the
rate comparing the
change in y-values to the
change in x-values.
I will be able to Use similar
right triangles to develop an
understanding that slope,
m, given as the rate
comparing the change in yvalues to the change in xvalues.
I will be able to Use
similar right triangles to
develop an understanding
that slope, m, given as the
rate comparing the
change in y-values to the
change in x-values.
I will be able to Use similar
right triangles to develop an
understanding that slope,
m, given as the rate
comparing the change in yvalues to the change in xvalues.
I will be able to use
informal arguments to
establish facts about the
angle sum and exterior angle
of triangles, about the
angles created when parallel
lines are cut by a transversal,
and the angle-angle criterion
for similarity of triangles.
I will be able to use
informal arguments to
establish facts about the
angle sum and exterior angle
of triangles, about the
angles created when parallel
lines are cut by a transversal,
and the angle-angle criterion
for similarity of triangles.
I will be able to use informal
arguments to establish facts
about the angle sum and
exterior angle of triangles,
about the angles created
when parallel lines are cut by
a transversal, and the angleangle criterion for similarity
of triangles.
I will be able to use
informal arguments to
establish facts about the
angle sum and exterior angle
of triangles, about the
angles created when parallel
lines are cut by a transversal,
and the angle-angle criterion
for similarity of triangles.
I will be able to use informal
arguments to establish facts
about the angle sum and
exterior angle of triangles,
about the angles created
when parallel lines are cut by
a transversal, and the angleangle criterion for similarity
of triangles.
ELPS C.3e Share
information in
cooperative learning
interactions.
ELPS C.3g Express
opinions, ideas, and
feelings ranging from
ELPS C.3e Share
information in
cooperative learning
interactions.
ELPS C.3g Express
opinions, ideas, and
feelings ranging from
ELPS C.3e Share
information in
cooperative learning
interactions.
ELPS C.3g Express
opinions, ideas, and
feelings ranging from
ELPS C.3e Share
information in
cooperative learning
interactions.
ELPS C.3g Express
opinions, ideas, and
feelings ranging from
ELPS C.3e Share
information in
cooperative learning
interactions.
ELPS C.3g Express
opinions, ideas, and
feelings ranging from
Jane Long Academy Lesson Plan Template with Unpacking the Standards
2015-2016
Course: Math 8
Teacher: Carouthers
communicating single
words and short
phrases to participating
appropriate academic
topics.
Spiraled TEKS
communicating single
words and short
phrases to participating
appropriate academic
topics.
Explore:
Review (min):
Explain:
Guided Practice
(min):
Elaborate:
Independent
Practice (min):
Evaluate:
Closing ( min.):
Technology Connection
Testing
Technology Connection
Technology Connection
Technology Connection
Common Assessment 3
Review
Testing
7-3 “Angle-Angle
Similarity,” pp. 207 –
214
Indirect Measurement
Unit 11 Word Problem
Practice
Common Assessment 3
Review
Testing
7-3 “Angle-Angle
Similarity,” pp. 207 –
214
Indirect Measurement
Unit 11 Word Problem
Practice
Kahn Academy
My Hrw
Kahn Academy
My Hrw
Kahn Academy
My Hrw
Kahn Academy
My Hrw
Materials/
Resources:
Calculators
Pencils
Texas Go Math
HISD Resources
Computers
Graph paper
Journals
Testing
Kahn Academy
My Hrw
Calculators
Pencils
Texas Go Math
HISD Resources
Computers
Graph paper
Journals
Calculators
Pencils
Texas Go Math
HISD Resources
Computers
Journals
Calculators
Pencils
Texas Go Math
HISD Resources
Computers
Graph paper
Journals
Calculators
Pencils
Texas Go Math
HISD Resources
Computers
Graph paper
Journals
Technology
Connections
 Determine Similarity by Comparing Angles – A lesson on determining similarity by comparing triangles with congruent angles
 Angle-Angle Similarity – A lesson on angle-angle similarity criterion
 Indirect Measurement Using Similar Triangles – An explanation of how to use the properties of similar triangles to determine
missing measurements
 Similar Triangles by AA – A YouTube video on angle-angle similarity
 Using Similar Triangles to Make Indirect Measurements – A video tutorial on determining indirect measurements from similar
triangles
Spiral TEKS Homework
Spiral TEKS Homework
Spiral TEKS Homework
Spiral TEKS Homework
Spiral TEKS Homework
Lesson Cycle
Engage:
Warm-Up/Opening
(min)
Reinforcement
Lesson Plan Week of: 11-1-15 to 11-20-15
Homework
Spiraled TEKS
communicating single
words and short phrases
to participating
appropriate academic
topics.
Spiraled TEKS
communicating single
words and short
phrases to participating
appropriate academic
topics.
Spiraled TEKS
communicating single
words and short phrases
to participating
appropriate academic
topics.
Spiraled TEKS
Jane Long Academy Lesson Plan Template with Unpacking the Standards
2015-2016
Course: Math 8
Teacher: Carouthers
Lesson Plan Week of: 11-1-15 to 11-20-15
*All lesson plans are subject to revisions and addendums by teacher.
*This lesson plan is designed to be a guide the teacher can use to engage in thoughtful planning of each lesson, to better integrate vertical
alignment opportunities, and to ensure high order thinking opportunities throughout instructional timeframes.