Download Research Funding - A National Professional Learning Community

Research Funding
Subject:
Grade Level:
Math
11
National Career Cluster:
National Career Pathway:
Government & Public Administration
Governance
Government & Public Administration
Planning
Government & Public Administration
Public Management and Administration
Government & Public Administration
Regulation
Human Services
Consumer Services
Human Services
Family & Community Services
Primary Common Core State Standards
Algebra: Seeing Structure in Expressions - Interpret the structure of expressions (Math - High School)
1. Interpret expressions that represent a quantity in terms of its context.
Statistics and Probability: Making Inferences and Justifying Conclusions - Make inferences and justify
conclusions from sample surveys, experiments, and observational studies (Math - High School)
6. Evaluate reports based on data.
Statistics and Probability: Conditional Probability and the Rules of Probability - Use the rules of
probability to compute probabilities of compound events in a uniform probability model (Math - High
School)
6. Find the conditional probability of A given B as the fraction of B’s outcomes that also belong to A, and interpret
the answer in terms of the model.
Other Related Common Core State Standards:
Writing Standards for Literacy in History/Social Studies, Science, and Technical Subjects 6-12 Production and Distribution of Writing (Literacy - Grades 11-12)
4. Produce clear and coherent writing in which the development, organization, and style are appropriate to task,
purpose, and audience.
Writing Standards for Literacy in History/Social Studies, Science, and Technical Subjects 6-12 - Research
to Build and Present Knowledge (Literacy - Grades 11-12)
8. Gather relevant information from multiple authoritative print and digital sources, using advanced searches
effectively; assess the strengths and limitations of each source in terms of the specific task, purpose, and
audience; integrate information into the text selectively to maintain the flow of ideas, avoiding plagiarism and
overreliance on any one source and following a standard format for citation.
Writing Standards for Literacy in History/Social Studies, Science, and Technical Subjects 6-12 - Research
to Build and Present Knowledge (Literacy - Grades 11-12)
9. Draw evidence from informational texts to support analysis, reflection, and research.
Number and Quantity: Quantities - Reason quantitatively and use units to solve problems. (Math - High
School)
1. Use units as a way to understand problems and to guide the solution of multi-step problems; choose and
interpret units consistently in formulas; choose and interpret the scale and the origin in graphs and data displays.
Number and Quantity: Quantities - Reason quantitatively and use units to solve problems. (Math - High
School)
2. Define appropriate quantities for the purpose of descriptive modeling.
Number and Quantity: Quantities - Reason quantitatively and use units to solve problems. (Math - High
School)
3. Choose a level of accuracy appropriate to limitations on measurement when reporting quantities.
Next Generation Assessment:
A data display showing 2012 fiscal year National Institute of Health (NIH) budget is shown below. (See
Resources for data display.)
Use the information presented in the data display to answer the following questions.
a. Write an expression that you can use to determine how much money is allocated to each of the nine
mechanisms that make up the National Institute of Health Budget. Then evaluate the expression to
compute the budget for each of the nine mechanisms.
b. What is the probability that a randomly selected dollar within the NIH budget is allocated to research
centers or research training? Explain how you determined your answer.
c. If the budget needs to be cut by 15%, propose how you would reduce the budget. Be specific and
factual in your reasoning.
Duration:
about 15 minutes
Student Work:
Algebraic calculations
Criteria for Student Learning:
1. Writing and evaluating an expression.
2. Computing probability.
3. Valid reasoning for how and why to cut the budget.
Resources students will be provided or will
have to acquire:
Calculator Attached data display
Research Funding.JPG
Scoring Guide
Criteria for
Student
Learning
Percent
Weight
Below Basic
Basic
Proficient
Exemplary
Writing and
evaluating an
expression.
40
Expression
presented is not
valid or does not
exist.
Computations do
not exist or are
incorrectly
computed with
expression.
Response shows
a valid
expression, and
shows correct
evaluation for
some of the nine
mechanisms. Or
expression is
incorrect, but
computations are
all correct. Facts
are presented in a
somewhat logical
format.
Response shows
a valid
expression, and
shows correct
evaluation for
most of the nine
mechanisms.
Work is organized
and facts are
presented in a
logical format.
Response shows
a valid
expression,
defines variables,
and shows
correct evaluation
for all nine
mechanisms.
Work is organized
and facts are
presented in a
logical format.
Computing
probability.
40
Response
indicates limited
to no
understanding of
probability.
Response shows
proper probability
equation and
minor error in
computation of
probability. No
explanation, or
oral explanation is
included.
Response shows
proper probability
equation and
correct
computation of
probability. Brief
written
explanation is
included.
Response shows
proper probability
equation and
correct
computation of
probability.
Answer is
conveyed and
explained in a
written statement.
Valid reasoning
for how and why
to cut the
budget.
Powered by TCPDF (www.tcpdf.org)
20
Response does
not have any valid
ways to reduce
budget by 15%,
and/or provides
no written
explanation to
support
reasoning.
Response shows
no understanding
of needs within
NIH.
Response shows
some valid ways
to reduce budget
by 15%, and
provides a brief
written
explanation to
support
reasoning.
Response shows
limited
understanding of
needs within NIH.
Response shows
valid ways to
reduce budget by
15%, and
provides written
explanation to
support
reasoning.
Response shows
general
understanding of
needs within NIH.
Response shows
valid ways to
reduce budget by
15%, and
provides written
explanation and
cited facts to
support
reasoning.
Response shows
solid
understanding of
needs within NIH.