Unit 3 Lesson 1


Andrea
Hall
8th
grade
Math
Unit
Title:
Unit
3
Lesson
1:
Proportionality:
Representations
and
Applications
October
3rd
–
October
7th
TEKS:
8.1
Number,
operation,
and
quantitative
reasoning.
The
student
understands
that
different
forms
of
numbers
are
appropriate
for
different
situations.
The
student
is
expected
to:
8.1B
Select
and
use
appropriate
forms
of
rational
numbers
to
solve
real‐life
problems
including
those
involving
proportional
relationships.
Supporting
Standard
8.2
Number,
operation,
and
quantitative
reasoning.
The
student
selects
and
uses
appropriate
operations
to
solve
problems
and
justify
solutions.
The
student
is
expected
to:
8.2B
Use
appropriate
operations
to
solve
problems
involving
rational
numbers
in
problem
situations.
Readiness
Standard
8.2D
Use
multiplication
by
a
given
constant
factor
(including
unit
rate)
to
represent
and
solve
problems
involving
proportional
relationships,
including
conversions
between
measurement
systems.
Supporting
Standard
8.3
Patterns,
relationships,
and
algebraic
thinking.
The
student
identifies
proportional
or
non‐proportional
linear
relationships
in
problem
situations
and
solves
problems.
The
student
is
expected
to:
8.3A
Compare
and
contrast
proportional
and
non‐proportional
linear
relationships.
Supporting
Standard
8.3B
Estimate
and
find
solutions
to
application
problems
involving
percent
and
other
proportional
relationships
such
as
similarity
and
rates.
Readiness
Standard
8.7
Geometry
and
spatial
reasoning.
The
student
uses
geometry
to
model
and
describe
the
physical
world.
The
student
is
expected
to:
8.7B
Use
geometric
concepts
and
properties
to
solve
problems
in
fields
such
as
art
and
architecture.
Supporting
Standard
8.9
Measurement.
The
student
uses
indirect
measurement
to
solve
problems.
The
student
is
expected
to:
8.9B
Use
proportional
relationships
in
similar
two‐dimensional
figures
or
similar
three
dimensional
figures
to
find
missing
measurements.
Readiness
Standard
Guiding
Questions
Related
to
Key
Understandings:
Unit
rates
are
used
to
compare
ratios
and
solve
problems
where
the
relationship
between
variables
is
proportional.
—
How
is
a
ratio
related
to
a
proportion?
—
How
can
you
tell
if
ratios
are
equivalent?
—
How
are
both
unit
rates
in
a
proportional
relationship
determined?
—
How
can
you
use
unit
rates
and
proportions
to
compare
relationships
and
solve
real‐world
problems?
Performance
Indicators:
Use
a
graphic
organizer
(e.g.,
4‐corner
model,
foldable,
etc.)
to
represent
a
proportional
and
non‐proportional
situation
with
different
forms
of
rational
numbers.
Use
a
graphic
organizer
(e.g.,
T‐chart,
Venn
diagram,
etc.)
to
compare
and
contrast
the
two
situations.
Create
a
written
description
of
the
process
used
to
solve
the
problem
situation,
and
validate
the
conjectures
using
technology.
(8.1B;
8.2B,
8.2D;
8.3A,
8.3B;
8.14A,
8.14C;
8.15A;
8.16A,
8.16B)
Lesson
Activity
1:
October
3rd:
Engage
Students
use
experience
and
reasoning
skills
to
review
proportions
and
essential
vocabulary
for
solving
proportional
problem
situations,
such
as
unit
rate.
Student
Responsibility,
October
3rd:
A
Basket
of
Apples
Lesson
Activity
2:
October
3rd:
Explore/Explain
1
Students
calculate
unit
rate
in
a
problem
situation
with
attention
to
the
units
for
each
ratio.
Student
Responsibility
October
3rd:
Michael
Biking
Questions
Lesson
Activity
3:
October
3rd:
Explore/Explain
2
Students
calculate
unit
rate
and
make
comparisons
in
proportional
problem
situations.
Student
Responsibility,
October
3rd:
Finding
Unit
Rates
Unit
Rate
Activity
Unit
Rate
Problems
Review
Lesson:
October
4th:
RTi
Students
calculate
unit
rate
and
make
comparisons
in
proportional
problem
situations.
Student
Responsibility‐
October
4th:
Finding
Unit
Rates
Study
Island
Questions
w/
Clickers
Lesson
Activity
4:
October
5th:
Elaborate
1
Students
create
tables
and
graphs
to
solve
a
real‐life
problem
situation.
Students
analyze
specific
points
on
the
graphs
and
describe
their
meaning
within
the
context
of
the
problem
situation.
Student
Responsibility,
October
5th:
Gasoline
Prices
Lesson
Activity
5:
October
5th:
Elaborate
2
Students
apply
concepts
of
unit
rate
to
solve
proportional
problem
situations.
Student
Responsibility,
October
5th:
Unit
Rates
with
Purchasing
Jump
Rope
Data
Collection
Review
Lesson:
October
6th:
RTi
Students
calculate
unit
rate
and
make
comparisons
in
proportional
problem
situations.
Student
Responsibility,
October
6th‐
More
on
finding
unit
rates
and
real
life
application
problems
with
proportions
Study
Island
Questions
w/
Clickers
Lesson
Activity
7:
October
7th:
Elaborate
2
Students
apply
concepts
of
unit
rate
to
solve
proportional
problem
situations.
Student
Responsibility,
October
7th:
Jump
Rope
Data
Collection
Follow‐Up
Jump
Rope
Data
Collection
Analysis
Jump
Rope
Applications
Review
Lesson:
October
11th:
Rti
Percent
Proportion
GIZMO
Student
Responsibility,
October
11th:
GIZMO
and
GIZMO
assessment
Lesson
Activity
7:
October
12th:
Elaborate
2
Students
apply
concepts
of
unit
rate
to
solve
proportional
problem
situations.
Student
Responsibility,
October
12th:
Finish
Jump
Rope
Applications
work
Review
Lesson:
October
13th:
Rti
Student
Responsibility,
October
13th:
GIZMO
and
GIZMO
assessment
Lesson
Activity
8:
October
14th,
Engage
2
Students
use
experience
and
reasoning
skills
to
discuss
a
proportional
and
non‐proportional
problem
situation.
Student
Responsibility:
October
14th:
Music
Download
Investigation
Lesson
Activity
9:
October
14th,
Explore/Explain
3
Students
evaluate
a
proportional
and
non‐proportional
problem
situation
to
define
the
characteristics
of
proportionality
and
constant
rate
of
change
Student
Responsibility:
October
14th:
Music
Download
Data
Collection
Lesson
Activity
10:
October
14th,
Explore/Explain
4
Students
compare
and
contrast
the
graphs
of
perimeter
and
area
to
further
the
development
of
proportional
and
non‐proportional
situations.
Student
Responsibility:
October
14th:
Tile
Squares
Proportional
versus
Non‐proportional
Exercises