Hoover/Meredith MYP Vertical Unit Planner Subject Area

advertisement
Hoover/Meredith MYP Vertical Unit Planner
Subject Area: Mathematics Collaborators: 6th – 10th Grade Teachers
Math 6
Unit
Unit Title
Unit 1
Imbalance of
resources can
cause conflict
(5 weeks)
Unit 2
Parts of Parts in
the Park
(6 weeks)
Unit 3
Ratio in
Auxology
(5 weeks)
Unit 4
Where did
Algebra begin
and how is it
used?
(5 weeks)
Unit 5
Geometry
delivers
(5 weeks)
Unit 6
Analyzing
interpreting
data impact
decision making
in the world
(6 weeks)
Concept
Statement
(key concept)
Key Concept:
Relationships
Related
Concepts:
Imbalance,
Representation
Key Concept:
Relationships
Related
Concept:
Model,
representation
Relationships
can be modeled
and
represented.
Key concept:
Patterns
Related
concept:
Relationships
Key Concept:
Logic
Key Concept:
Form
Key Concept:
Form
Related
Concept:
Equivalence,
simplification
Related
Concept:
Measurement,
space
Related
Concept:
Representation
Statement of
Inquiry:
Through form,
space and
measurement
are created.
Statement of
Inquiry:
Human
Ingenuity/
Collaboration
Health and
Social Education
/ Information
Literacy
Factual: When is
it useful to be
able to relate
one quantity to
another?
Conceptual:
How are ratios
and rates used
in everyday life?
Statement of
Inquiry:
Logic with
expressions and
equations leads
to equivalence
and
simplification.
Human
ingenuity /
Transfer,
thinking
How can
expressions with
exponents be
simplified? Why
does this
strategy work?
Human
Ingenuity
Communication
Health and
Social /
Organization &
Communication
How can I use
my
understanding
of data and
Stats to change
perspectives of
the world?
Statement of
Inquiry:
Relationship
between
resources can
be represented
as an imbalance
or equivalence.
AOI/ATL
Cluster
Inquiry
Question
Community and
service/
Organization,
communication
How can my
application of
resources help
me understand
the
environment?
Factual: How
can division of
fractions be
modeled and
represented?
Statement of
Inquiry: Patterns
of ratios and
rates express
the relationship
between two
quantities.
What types of
units are
necessary for
finding the area
of two
dimensional
figures and
surface area and
volume of three
Unit 7
Are you
negative? Are
you positive?
(3 weeks)
Revisions
underway for
2013-2014
Unit 8
Unit 9
Unit 10
Math 7
Culminating
Task
Authentic Task:
Solving an
imbalance at a
National Park
Formative
Performance:
Authentic
Trail Mix
Assessed
MYP Criteria
A Knowledge
and
Understanding
C
Communication
Unit Title
Integers
6 weeks
Expressions and
Equations
6 weeks
Concept
Statement
(key concept)
AOI/ATL
Cluster
Inquiry
Question
Development
Related
Concepts:
Computation
Opposites
Orientations in
Space and Time
– Organization
Factual: What is
an opposite?
Conceptual:
Why do we
need to
understand
absolute value?
Debatable: Does
my orientation
(where I am
from) define
Debatable: How
would life be
different
without ratios
and rates?
Presentation:
Technology
Planning an
international
food fair
B Investigating
Patterns
Ratio and
Proportional
Reasoning
6 weeks
Decision Making
Relationships
Identities and
Relationships
Personal and
Cultural
Expression
How do I create
and maintain
balance?
How do the
variables in our
everyday lives
affect our
decisionmaking?
dimensional
figures?
Authentic Task:
Designing a
Bridge
Authentic Task:
Design a house
A Knowledge
and
Understanding
B. Investigating
Patterns
Probability
6 weeks
A Knowledge
and
Understanding
Project:
“That’s Amour”
or (choice)
Departing on
time
C
Communication
D Reflection in
Mathematics
Analyzing the
World
6 weeks
Life of Pi
6 weeks
Representation
Spatial
Relationships
Identities and
Relationship
Scientific and
Technical
Innovation
How can I use
patterns to help
develop
geometric and
algebraic
formulas?
(Revision in
progress for
2013-14)
Fairness and
Development
Collaboration
How can
analyzing data
and graphs help
me become
socially aware of
the world we
live in?
A Knowledge
and
Understanding
D Reflection in
Mathematics
Culminating
Task
Math 8
who I am?
Performance
skill: Game
Show Task
Authentic Task:
Planning a trip
for a family
Authentic Task:
Scale
drawing/model
Project:
Creating a
Carnival Game
Project:
Standard of
living graphing
project
C
Communication
in Mathematics
D Reflection in
Mathematics
Authentic Task:
Designing a golf
hole
Assessed
MYP Criteria
A Knowledge
and
Understanding
B Investigating
Patterns
C
Communication
A Knowledge
and
Understanding
D Reflection in
Mathematics
A Knowledge
and
Understanding
C
Communication
D Reflection in
Mathematics
Unit Title
Don’t Get
Scammed by
Math
(3 weeks)
Key Concept:
Relationships
Related
Concepts:
Justification
Patterns
Knowing the
Unknown
(3 weeks)
Functions are
Fabulous
(6 weeks0
Get it Right?
(6 weeks)
Convince me
with Numbers!!!
(6 weeks)
Shape Up!
(6 weeks)
Systems of
Equations
(6 weeks)
Key Concept:
Form
Related
Concepts:
Simplification
Change
Key Concept:
Relationship
Related
Concepts:
Representations
Patterns
Key concept:
Relationships
Related
concept:
Measurement
and Equivalence
Key Concept:
Relationships
Related
Concept:
Quantity,
Generalization
Key Concept:
Form
Related
Concepts:
Measurement
and Quantity
Key Concept:
Relationships
Related
Concepts:
Model
Representation
Statement of
Inquiry:
Relationships
formed through
patterns can be
misleading and
may require
justification.
Statement of
Inquiry:
Forms may
change and
become
simplified
through
principles and
creations.
Statement of
Inquiry:
Relationships
are formed
through
different
representations
of patterns.
Statement of
Inquiry:
Measurement
and equivalence
are significant in
relationships.
Statement of
Inquiry:
Relationships
can be
generalized by
analyzing
quantities.
Statement of
Inquiry:
Geometric
forms are based
on
measurement
and quantity.
GC: Fairness and
GC: Scientific
Identities and
Scientific and
Health and
Globalization
Statement of
Inquiry:
Students
understand that
relationships
involving two
variables can be
modeled
through tables,
graphs, and
equations to
solve real life
situations.
Community and
Concept
Statement
(key concept)
AOI/ATL
A Knowledge
and
Understanding
B Investigating
Patterns
Cluster
Development
and Technical
Innovation
relationships
Technological
Innovation
Organization
Communication
F: What
processes are
involved in
solving linear
equations?
C: How can
principles and
creations make
solving linear
equations
easier?
D: How can
guessing be an
effective
strategy when
solving linear
equations?
Information
Literacy
Factual: How do
we represent a
relationship
with a table?
Conceptual:
How can we
keep our
relationships
balanced? How
will flexible
(open-minded)
thinking help to
solve problems?
Debatable: Are
multiple
representations
appropriate for
all situations?
Which
representation
is most
appropriate for
a given
situation?
Authentic Task:
Choose an
international
calling plan to fit
needs for a
world trip
Thinking
Transfer
Factual
Question: How
do we represent
the Pythagorean
Theorem?
Conceptual
Question: How
can you use
geometric
shapes to
observe visual
proof of the
Pythagorean
Theorem?
Debatable
Question: Why
does the
Pythagorean
Theorem only
work on right
triangles?
Communication
Inquiry
Question
F: How does an
exponent
represent a
pattern?
C: How are
integer
exponents and
their equivalent
numerical form
related?
D: Can numbers
be manipulated
to take
advantage of
people or
contribute to
their wellbeing?
Culminating
Task
Project: Ponzi
Scheme
Using Exp. Rules
Comm.- How it
works and if
legitimate
Written:
Informative
Translating
word form to
equation and
communicating
the process
Presentation:
Create a kid
friendly
presentation of
Pythagoras to
our everyday
lives or solve a
real-life
problem using
the applications
of Pythagoras
theorem in the
Social Education
/ Organization
Communication
Information
Literacy
Factual: What
information can
I gather from a
scatterplot?
Conceptual:
How can
relationships be
generalized by
analyzing
quantities
displayed in a
scatterplot?
Debatable: Is a
scatterplot or
two way table
better to
represent the
relationship
between data?
and
sustainability
Authentic Task:
Create scatter
plot on infant
mortality and
life expectancy.
Draw
conclusions and
make
predictions
based on data
Authentic Task:
Design
packaging for an
energy drink
and shipping
container in the
most efficient
way.
Transfer
Reflection
Factual: What
formulas do I
use to calculate
volume of a
geometric shape
(cone, sphere
and cylinder)?
Debatable:
Which formula
is appropriate
for calculating a
threedimensional
figure and why?
Conceptual:
How are the
geometric
formulas for
measurement
and quantity
derived (cone,
sphere, and
cylinder)?
Service/
Communication
Transfer
How do I find a
solution to two
equations
without
backtracking?
Authentic Task:
Omaha trip to
zoo – make
decisions based
on solutions of
systems and
environments
data
Algebra
I
world of
construction
A: Knowledge
and
Understanding
Assessed
MYP Criteria
B. Investigating
Patterns
C:
Communication
C:
Communication
A: Knowledge
and
Understanding
B: Investigating
Patterns
Unit Title
The Basics (1
week)
Equations (4
weeks)
Basic Graphs (4
weeks)
Lines (3 weeks)
Concept
Statement
(key concept)
K.C. Form
R.C. equivalence
simplification
K.C. Form
R.C. model,
pattern,
generalization,
representation
K.C. Form
R.C.
representation,
change, system,
model
K.C.
Relationships
AOI/ATL
Cluster
Social and
Health
Education / selfmanagement,
social
What is
relationship
between
balance and
basic rules
Environments /
Communication
Human
Ingenuity /
Communication
Thinking
Community and
Service /
Thinking
How do you
utilize patterns?
How do I know
if data is a good
fit?
How are
relationships
represented
mathematically?
Culminating
Task
Quiz Personal
Project on
patterns
Personal project
(DBA 1)
Oral
Presentation
(DBA 2)
Authentic Task –
Disasters (DBA
3)
Cell Phone Plan
Project (DBA 4)
Health-related
Function Project
(DBA 5)
Assessed
MYP Criteria
C
Communication
in Mathematics
A Knowledge
and
Understanding
B Investigating
Patterns
D Reflection in
Mathematics
A Knowledge
and
Understanding
B Investigating
Patterns
C
Communication
in Mathematics
B. Investigating
Patterns
C
Communication
in Mathematics
Inquiry
Question
A Knowledge
and
Understanding
D Reflecting in
Mathematics
A Knowledge
and
Understanding
D Reflection in
Mathematics
A Knowledge
and
Understanding
Systems and
Inequalities (5
weeks)
K.C.
Relationships
R.C.
representation
System
justification
Functions (3
weeks)
Radicals and
Exponents (3
weeks)
K.C. Form
R.C. quantity,
simplification,
pattern, change
Basic Statistics
(2 weeks)
Basic Quadratics
(4 weeks)
Quadratics (4
weeks)
K.C.
Relationships
R. C. change,
generalization,
representation
K.C. Form
R.C.
equivalence,
simplification
K.C. Form
R.C.
generalization,
simplification
Community and
Service / Social
Thinking
Environments /
Organization
Information
Literacy
Human
Ingenuity /
Thinking
Communication
Human
Ingenuity /
Research and
Thinking
How does
transforming
expressions
allow us to
create
solutions?
Why has
mathematics
developed as
the
international
language?
??
(DBA 8)
??
(DBA 9)
A Knowledge
and
Understanding
B Investigating
Patterns
D Reflection
Health and
Social Education
/
Communication
Thinking
How can you
predict an
outcome given
different
choices?
K.C.
Relationships
R. C.
generalization,
patterns,
change,
representation
Health and
Social Education
/ Thinking SelfManagement
Why are rules
created?
Why pay it
forward?
How can
ecological
footprint
statistics help us
understand our
influence on the
environment?
Pay it Forward – Ecological
Project –
Footprint
technology (DBA Performance
6)
Task (DBA 7)
B Investigating
A Knowledge
Patterns
and
Understanding
Geome
try
Algebra
II
Unit Title
Constructions
Congruence and
Proofs
K.C. Logic
R.C. justification
, equivalence
Proofs Part 2
Concept
Statement
(key concept)
K.C.
Relationships
R.C.
representation,
model
AOI/ATL
Cluster
Community &
Service
Health & Social
Environment
Inquiry
Question
How can we use
constructions to
meet
community
needs
How would life
be different
without
deductive
reasoning?
Culminating
Task
Pack Project
Story – RAFTS
District
Benchmark
Assessed
MYP Criteria
C
Communication
in Mathematics
Unit Title
Concept
Statement
(key concept)
AOI/ATL
Cluster
A Knowledge
and
Understanding
C
Communication
in Mathematics
Simple
Simple
Functions Tables Functional
Composition/
Inverse
K.C.
Relationships
R.C.
representations
, model
Human
Ingenuity /
Congruence and
Volume
K.C.
Relationships
R. C.
generalization,
measurement,
space
Human
Ingenuity/
Research
Probability
Similarity
Circles
K.C.
Relationships
R. C. change,
quantity
K.C.
Relationships
R. C. model ,
change
K.C.
Relationships
R. C. quantity,
space
Health and
Social Education
/ Research
Community and
Service / Selfmanagement
How do
buildings effect
environment
What is a box?
What are your
odds?
How do you
design a plan?
Human
Ingenuity /
Social
Collaboration
How is profit
determined?
Benchmark
Project
Project – Design
package for
client District
Benchmark
Create game
“Fight to the
death” District
Benchmark
Blue print
assessment
District
Benchmark
Pizza Project
District
Benchmark
Reflection
A Knowledge
and
Understanding
D Reflection in
Mathematics
A Knowledge
and
Understanding
B Investigating
Patterns
A Knowledge
and
Understanding
D Reflections in
Mathematics
D Reflections in
Mathematics
Polynomials
Complex
Numbers
Solving System
of Equation and
Matrices
Exponential
Function
K.C. Form
R.C.
simplification,
equivalence
K.C. Form
R.C.
representation
K.C. Form
R. C.
representation,
model
K.C. Logic
R. C.
representation,
model
Human
Ingenuity /
Human
Ingenuity /
Community and
Service/
Health and
Social Education
K.C.
Trigonometry /
Right Triangles
K.C.
Relationships
R. C.
measurement,
model
Transformations
Environments/
Think
Health and
Social Education
/ Research
How are
trigonometry /
right angles
used to impact
our
environment?
Student written
survey/question
s
District
Benchmark
A Knowledge
and
Understanding
B Investigating
Patterns
How does
mathematics
enable me to
learn about
myself?
Logarithms
Trigonometry
Unit Basics
Trigonometry
Part 2 Trig rules
and identities
Transformation
and Circles
K. C.
Relationships
R. C.
measurement,
quantity
Environment /
Social
K. C.
Relationships
R. C. patterns,
equivalence
K. C.
Relationships
R. C.
measurement,
model
Environments /
Thinking
K. C. Form
R. C. change,
space
Human
Ingenuity
K. C. Form
R. C. change,
space
Make a flip book
District
Benchmark
B Investigating
Patterns
Health and
Social Education
Thinking
Thinking
Communication
How does
transforming
expressions
allow us to
create
solutions?
Thinking
Research
Why are there
complex
numbers?
Research
Exit Ticket
website, Pico
Monster?
Missile control
guidance, cell
phone vibration,
madel brot D Reflection in
Mathematics
Project – Data
collection setup
analyze
(DBA)
Money
Retirement
C
Communication
in Mathematics
D Reflection in
Mathematics
Inquiry
Question
How can I make
responsible
choices based
on my
understanding?
Culminating
Task
Create a table to
decided the
equation
Quiz aligned
with benchmark
?? (DBA)
Assessed
MYP Criteria
B Investigating
Patterns
A Knowledge
and
Understanding
B Investigating
Patterns
How does
location
influence sales?
/ Selfmanagement
How do
investments
affect your
future?
/ Thinking
/ Research
What power can
mathematics
give us to
communicate
environmental
issues to the
world?
Caffeine/Alcoho
l detoxification
What patterns
can you find?
How are
trigonometry
concepts used
to impact our
environment?
How is math
used in
architectural
design
Exit Reflection
questions
Summative
Navigator
Exam Extensions (DBA)
of Geometry
A Knowledge
and
Understanding
C
Communication
B Investigating
Patterns
A Knowledge
and
Understanding
B Investigating
Pattterns
Download