Students enter QR with competence in solving problems that incorporate
operations, dimensional analysis, and conversions between fractions, decimals,
and percentages. They are able to interpret displays of univariate data, graph and
interpret linear models, solve linear equations, and read and apply formulas. They
can determine when approximations are appropriate and when exact calculations
are necessary.
They take charge of their own learning and participate in the classroom
community. This is illustrated in part by completing Preview Assignments that
provide opportunities for the student to refresh on the prerequisite assumptions (if
any) of upcoming lessons.
Students will interact with mathematics, build a
learning community, and complete a written
~ 1.5 weeks
analysis.
3.5 hours plus syllabus Mathematics: Ranking/rating strategies, graphical
displays
Mini-project: Written analysis of graphical displays.
Focus on complex numerical summaries and
~ 2 weeks
probabilities. Create and use data displays.
5 hours + optional
Project: Create a graphical display, write a 1 page
summary to make an argument.
Focus on proportional reasoning, transition to linear
~ 2 weeks
modeling and choosing a model; correlation vs.
4 hours + optional
causation. (See the Modeling Outcomes)
Transition to correlation/causation and interpolation/
extrapolation; focus on logistic and periodic
~ 2 weeks
modeling. (See Modeling Outcomes)
5 hours + optional
Project: Create a mathematical model to answer an
open-ended question. Write 1 page summary of
strengths and limitations.
Focus on analysis of statistical studies to develop
~ 2 weeks
understanding of types of studies, data collection
4 hours + optional
methods.
Transition drawing conclusions; revisit correlation
vs. causation.
~ 2 weeks
Project: Use information from multiple sources to
5 hours + optional
draw conclusions or make a decision; incorporate
graphical display, and a written synthesis/analysis.
Confidence intervals, normal distributions; standard
~ 2 weeks
deviation.
4 hours + optional
Context themes: Personal finance, Civic Responsibility, Health Literacy
Whenever possible throughout the Quantitative Reasoning course, authors will provide
opportunities for students to demonstrate number sense, apply proportional reasoning,
use conversion of units, interact with data, move between representations, choose
between exact or approximate solutions, identify biases and misuses, and utilize
appropriate technology.
Readiness
Assumptions
Quantitative Reasoning Outline
Activities are provided as 25-minute learning episodes. The course includes:
54 learning episodes + 7 project episodes + 24 optional episodes =
27 hours for activities + 3.5 hours on projects + 12 hours optional
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