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Jane Long Academy Lesson Plan Template with Unpacking the Standards
2015-2016
Course: 7th Grade Math
Teachers: Ma.th Dept
Lesson Plan Week of: Jan 25-29
Monday- 25
TEKS:
(R) - Readiness
Standard
(S) -Supporting
Standard
ELPS (Language
Pre-Planning: Unpacking the Standards
Objective)
MATH.7.1D
Communicate
mathematical ideas,
reasoning, and their
implications using
multiple
representations,
including symbols,
diagrams, graphs,
and language as
appropriate.
Expressions,
Equations, and
Relationships. The
student applies
mathematical
process standards to
solve one-variable
equations and
inequalities. The
student is expected
to:
Ⓢ MATH.7.11C
Write and solve
equations using
geometry concepts,
including the sum of
the angles in a
triangle, and angle
relationships.
Tuesday-26
Wednesday-27
Thursday-28
MATH.7.1B Use a
problem-solving model
that incorporates
analyzing given
information, formulating
a plan or strategy,
determining a solution,
justifying the solution,
and evaluating the
problem-solving process
and the reasonableness
of the solution.
MATH.7.1F Analyze
mathematical
relationships to connect
and communicate
mathematical ideas.
Expressions, Equations,
and Relationships. The
student applies
mathematical process
standards to develop
geometric relationships
with volume. The student
is expected to:
MATH.7.8C Use models
to determine the
approximate formulas for
the circumference and
area of a circle and
connect the models to
the actual formulas.
Expressions, Equations,
and Relationships. The
student applies
mathematical process
standards to solve
MATH.7.1B Use a problemsolving model that
incorporates analyzing
given information,
formulating a plan or
strategy, determining a
solution, justifying the
solution, and evaluating
the problem-solving
process and the
reasonableness of the
solution.
MATH.7.1F Analyze
mathematical relationships
to connect and
communicate
mathematical ideas.
Expressions, Equations,
and Relationships. The
student applies
mathematical process
standards to develop
geometric relationships
with volume. The student
is expected to:
MATH.7.8C Use models to
determine the
approximate formulas for
the circumference and
area of a circle and
connect the models to the
actual formulas.
Expressions, Equations,
and Relationships. The
student applies
mathematical process
standards to solve
MATH.7.1B Use a
problem-solving model
that incorporates
analyzing given
information, formulating
a plan or strategy,
determining a solution,
justifying the solution,
and evaluating the
problem-solving process
and the reasonableness
of the solution.
MATH.7.1F Analyze
mathematical
relationships to connect
and communicate
mathematical ideas.
Expressions, Equations,
and Relationships. The
student applies
mathematical process
standards to develop
geometric relationships
with volume. The student
is expected to:
MATH.7.8C Use models
to determine the
approximate formulas for
the circumference and
area of a circle and
connect the models to
the actual formulas.
Expressions, Equations,
and Relationships. The
student applies
mathematical process
standards to solve
Friday-29
Data Talk Mid Term
Jane Long Academy Lesson Plan Template with Unpacking the Standards
2015-2016
Course: 7th Grade Math
Teachers: Ma.th Dept
Verb(s)
- What verbs define the
actions students will need
to take?
Vocabulary
(Academic and Content)
Lesson Topic
(Content Objective)
Lesson Plan Week of: Jan 25-29
Write, solve,
communicate,
express
angle
•congruency
relationship
•geometric figure
•line
•symmetrical
relationship
Academic Vocabulary
adjacent angle
complementary
angles corresponding
angles
supplementary
angles vertical angles
Unit 14: Angle
Relationships
Students write and
solve
equations using
geometry
geometric problems. The
student is expected to:
MATH.7.9B Determine
the circumference and
area of circles
geometric problems. The
student is expected to:
MATH.7.9B Determine the
circumference and area of
circles
geometric problems. The
student is expected to:
MATH.7.9B Determine
the circumference and
area of circles
Communicate,
problem solving,
model, evaluate,
analyze, connect,
apply, approximate
•area
•circle
•circumference
•geometric figure
•measurement
•relationship
Academic
Vocabulary
approximate
circumference
diameter
Communicate,
problem solving,
model, evaluate,
analyze, connect,
apply, approximate
•area
•circle
•circumference
•geometric figure
•measurement
•relationship
Academic Vocabulary
approximate
circumference
diameter
Communicate,
problem solving,
model, evaluate,
analyze, connect,
apply, approximate
•area
•circle
•circumference
•geometric figure
•measurement
•relationship
Academic Vocabulary
approximate
circumference
diameter
radius
radius
Area and
Circumference of
Circles – Students use
models to determine
the circumference and
area of circles, and
Area and
Circumference of
Circles – Students use
models to determine
the circumference
and area of circles,
radius
Area and
Circumference of
Circles – Students use
models to determine
the circumference
and area of circles,
Jane Long Academy Lesson Plan Template with Unpacking the Standards
2015-2016
Course: 7th Grade Math
Teachers: Ma.th Dept
ELPS (Language
Objective)
Lesson Plan Week of: Jan 25-29
concepts, including
and connect the
connect the models to and connect the
the sum of the angles models to the actual the actual formulas.
models to the actual
in a triangle, and
formulas.
formulas.
angle relationships
ELPS C.2g Understand the
ELPS C.2g Understand the general ELPS C.2g Understand the
ELPS C.1f Use
general meaning, main points,
general meaning, main points,
meaning, main points, and
accessible language
and important details of spoken
and important details of spoken
important details of spoken
language ranging from
language ranging from
and learn new and
language ranging from situations
situations in which topics,
situations in which topics,
in which topics, language, and
essential language in language, and contexts are
language, and contexts are
contexts are familiar to
familiar to unfamiliar.
familiar to unfamiliar.
the process.
unfamiliar.
ELPS C.3j Respond orally to
ELPS C.3j Respond orally to
ELPS C.3j Respond
information presented in a wide
information presented in a wide
variety
of
print,
electronic,
variety of print, electronic,
ELPS
C.3j
Respond
orally
to
orally to information audio, and visual media to build
audio, and visual media to build
information presented in a wide
presented in a wide
and reinforce concept and
and reinforce concept and
variety of print, electronic, audio,
language attainment.
language attainment.
variety of print,
and visual media to build and
ELPS C.4i Demonstrate English
ELPS C.4i Demonstrate English
reinforce concept and language
electronic, audio, and comprehension and expand
comprehension and expand
skills by employing basic attainment.
reading skills by employing basic
visual media to build reading
reading skills such as
reading skills such as
and reinforce
demonstrating understanding of ELPS C.4i Demonstrate English
demonstrating understanding of
supporting
ideas
and
details
in
supporting ideas and details in
comprehension
and
expand
concept and
text and graphic sources,
text and graphic sources,
reading skills by employing basic
language attainment summarizing text, and
summarizing text, and
reading skills such as
distinguishing main ideas from
details commensurate with
content area needs.
ELPS C.5e Employ increasingly
complex grammatical structures
in content area writing
commensurate with grade-level
expectations, such as: (i) using
correct verbs, tenses,
pronouns/antecedents; (ii) using
possessive case (apostrophes)
correctly; (iii) using negatives
and contractions correctly
demonstrating understanding of
supporting ideas and details in
text and graphic sources,
summarizing text, and
distinguishing main ideas from
details commensurate with
content area needs.
ELPS C.5e Employ increasingly
complex grammatical structures
in content area writing
commensurate with grade-level
expectations, such as: (i) using
correct verbs, tenses,
pronouns/antecedents; (ii) using
possessive case (apostrophes)
correctly; (iii) using negatives and
distinguishing main ideas from
details commensurate with
content area needs.
ELPS C.5e Employ increasingly
complex grammatical structures
in content area writing
commensurate with grade-level
expectations, such as: (i) using
correct verbs, tenses,
pronouns/antecedents; (ii) using
possessive case (apostrophes)
correctly; (iii) using negatives
and contractions correctly
Jane Long Academy Lesson Plan Template with Unpacking the Standards
2015-2016
Course: 7th Grade Math
Teachers: Ma.th Dept
Lesson Plan Week of: Jan 25-29
contractions correctly
Spiral
Model the use of geo
boards
Spiral
Vocabulary build up / formula
Model how to approximate the
circumference. How to round
throughout process.
Spiral
Explore:
Review (min):
•Access Inscribed
Triangles. Students
determine the measure
of each angle in the
inscribed triangles using
a geoboard. [MATH.7.1D,
MATH.7.11C]
PowerUp Connection
•Sir Cumference and
the Dragon of Pi – A
SchoolTube video clip
about parts of a circle
and calculating the
circumference.
•Provide a graphic such as
the one below or another
problem situation, and
have students use it to
create their own
application problems.
[MATH.7.1B, MATH.7.1F]
E.g., Maria cut an orange
and the diameter of the
slice is 8 cm. She needs to
determine the
circumference of the
orange when she cuts the
slice in half. Help Maria
determine the
circumference of the semislice of orange.
Explain:
Guided Practice
(min):
oCan an obtuse triangle
be right? Explain why
or why not. (No,
because the sum of the
measures of an obtuse
angle and a right angle
is greater than 180°
and the sum of the
measures of the angles
of a triangle must be
equal to 180°.)
oCan an acute triangle
•The area of a circle can
be determined by
exploring the relationship
between circles and
rectangles. Access Area of
Circles as an engagement
activity; students use a
compass to make large
circles on paper, fold to
create multiple
Calculating Pi –
A video exploring the ratio
between a circle’s
circumference and the
length of its diameter.
Lesson Cycle
Engage:
Warm-Up/Opening
(min)
Model How to find the area of a
circle.
Spiral:
Model How to find the area of a
circle
The Round Table – In
small groups, students
work cooperatively to
solve a real-world
problem situation. After
working through the
entire problem,
Each group to present
part of the problem to
the class. Each group
presents their solutions
orally and with
supporting charts.
Assessment Solution
Guide. [GQ #7]
Jane Long Academy Lesson Plan Template with Unpacking the Standards
2015-2016
Course: 7th Grade Math
Teachers: Ma.th Dept
Elaborate:
Independent
Practice (min):
Lesson Plan Week of: Jan 25-29
be obtuse? Explain why
or why not. (No,
because an acute
triangle, by definition, is
a triangle with three
acute angles.)
oCan a scalene triangle
be isosceles? Explain
why or why not. (No,
because a scalene
triangle, by definition,
has no congruent side
lengths and an
isosceles triangle has
two congruent side
lengths.)
oCan an equilateral
triangle be isosceles?
Explain why or why not.
(Yes, every equilateral
triangle is isosceles
because it has two
congruent side
lengths.)
•Vertical angles are formed by
two intersecting lines. Vertical
angles are two angles whose
sides are opposite rays and have
equal measures. When the
measures of two are more
angles are equal, then the
angles are congruent. [GQ #2]
•The triangle sum theorem
states that the sum of the
measures of the interior angles
of a triangle is always180°.
Triangle Sum theorem
•The triangle sum theorem
helps students understand that
angle relationships can be used
to determine missing angle
measures in a figure. Students
use the sum of the measures of
diameters, cut apart the
circles into pizza-like
sections, and join them to
form a parallelogram. See
illustration below
•Circles – A
BrainPOP® video that
reinforces and helps
students visualize the
concepts of
circumference and area
using visuals and
humor.
•³ Area Formula of
Circles – Students
elaborate on the
concept of calculating
the area of a circle, and
present problems in a
visual medium with
interactive capabilities.
C.2g, C.3j, C.4i
Access Discovering Area, a
Laying the Foundation
activity; students discover
how to determine the area
of a circle.
CONTINUE:Access
Discovering Area, a Laying
the Foundation activity;
students discover how to
determine the area of a
circle.
Jane Long Academy Lesson Plan Template with Unpacking the Standards
2015-2016
Course: 7th Grade Math
Teachers: Ma.th Dept
Lesson Plan Week of: Jan 25-29
angles in a triangle to determine
the missing measure.
•
straight angle, thus the measure
measure of
65° + c + 30° = 180°; c = 85°. [GQ
#3] [MATH.7.1D, MATH.7.11C]
Reinforceme
nt
Evaluate:
Closing ( min.):
Materials/
Resources:
Exit ticket:
Vocabulary / Triangle
Sum Therem Practice
Texas Go Math!,
•investigate the sum of
the angles of a triangle.
•Intermath – An
interactive mathematics
Exit
Relationships exist
among circles with
respect to the twodimensional
measurements of
circumference and
area.
1.
How is the
diameter of a circle
related to its radius?
To its circumference?
2.
Why is it
important to
understand the
relationship between
the diameter and the
circumference of a
circle?
Texas Go Math!,
Grade 7:
Lesson 9-2 “Finding
Circumference,” pp.
291 – 296
Exit
3.
ratio related to
circles?
4.
or a variable? What’s
the difference?
Exit
5.
How is the
radius of a circle
related to its area?
6.
When are
linear units used in
measurement and
when are square
units used?
7.
When is it
useful in the real
world to know how
to calculate the area
of a circle?
Go Math
Lesson 9-3 “Area of
Circles,” pp. 297 - 302
Go Math
Lesson 9-3 “Area of
Circles,” pp. 297 302
Jane Long Academy Lesson Plan Template with Unpacking the Standards
2015-2016
Course: 7th Grade Math
Teachers: Ma.th Dept
Lesson Plan Week of: Jan 25-29
dictionary that Triangle
Sum Theorem – Students
use an applet to includes
a description, related
terms, real-world
examples, and a
challenge interactive
problem.
•Vertical Angles –
Students visualize and
explore the angles that
are formed when two
lines intersect.
•Learning.com Project:
Where 2-D and 3-D
Intersect
Triangle Sum Theorem
Homework
Go Math!, Grade 7:
oLesson 19-1 “Angle
Relationships,” pp.
283 – 290
*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.