1.1: Introduction to Quantitative Reasoning
- Page ID
- 147890
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\(\newcommand{\avec}{\mathbf a}\) \(\newcommand{\bvec}{\mathbf b}\) \(\newcommand{\cvec}{\mathbf c}\) \(\newcommand{\dvec}{\mathbf d}\) \(\newcommand{\dtil}{\widetilde{\mathbf d}}\) \(\newcommand{\evec}{\mathbf e}\) \(\newcommand{\fvec}{\mathbf f}\) \(\newcommand{\nvec}{\mathbf n}\) \(\newcommand{\pvec}{\mathbf p}\) \(\newcommand{\qvec}{\mathbf q}\) \(\newcommand{\svec}{\mathbf s}\) \(\newcommand{\tvec}{\mathbf t}\) \(\newcommand{\uvec}{\mathbf u}\) \(\newcommand{\vvec}{\mathbf v}\) \(\newcommand{\wvec}{\mathbf w}\) \(\newcommand{\xvec}{\mathbf x}\) \(\newcommand{\yvec}{\mathbf y}\) \(\newcommand{\zvec}{\mathbf z}\) \(\newcommand{\rvec}{\mathbf r}\) \(\newcommand{\mvec}{\mathbf m}\) \(\newcommand{\zerovec}{\mathbf 0}\) \(\newcommand{\onevec}{\mathbf 1}\) \(\newcommand{\real}{\mathbb R}\) \(\newcommand{\twovec}[2]{\left[\begin{array}{r}#1 \\ #2 \end{array}\right]}\) \(\newcommand{\ctwovec}[2]{\left[\begin{array}{c}#1 \\ #2 \end{array}\right]}\) \(\newcommand{\threevec}[3]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \end{array}\right]}\) \(\newcommand{\cthreevec}[3]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \end{array}\right]}\) \(\newcommand{\fourvec}[4]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \\ #4 \end{array}\right]}\) \(\newcommand{\cfourvec}[4]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \\ #4 \end{array}\right]}\) \(\newcommand{\fivevec}[5]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \\ #4 \\ #5 \\ \end{array}\right]}\) \(\newcommand{\cfivevec}[5]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \\ #4 \\ #5 \\ \end{array}\right]}\) \(\newcommand{\mattwo}[4]{\left[\begin{array}{rr}#1 \amp #2 \\ #3 \amp #4 \\ \end{array}\right]}\) \(\newcommand{\laspan}[1]{\text{Span}\{#1\}}\) \(\newcommand{\bcal}{\cal B}\) \(\newcommand{\ccal}{\cal C}\) \(\newcommand{\scal}{\cal S}\) \(\newcommand{\wcal}{\cal W}\) \(\newcommand{\ecal}{\cal E}\) \(\newcommand{\coords}[2]{\left\{#1\right\}_{#2}}\) \(\newcommand{\gray}[1]{\color{gray}{#1}}\) \(\newcommand{\lgray}[1]{\color{lightgray}{#1}}\) \(\newcommand{\rank}{\operatorname{rank}}\) \(\newcommand{\row}{\text{Row}}\) \(\newcommand{\col}{\text{Col}}\) \(\renewcommand{\row}{\text{Row}}\) \(\newcommand{\nul}{\text{Nul}}\) \(\newcommand{\var}{\text{Var}}\) \(\newcommand{\corr}{\text{corr}}\) \(\newcommand{\len}[1]{\left|#1\right|}\) \(\newcommand{\bbar}{\overline{\bvec}}\) \(\newcommand{\bhat}{\widehat{\bvec}}\) \(\newcommand{\bperp}{\bvec^\perp}\) \(\newcommand{\xhat}{\widehat{\xvec}}\) \(\newcommand{\vhat}{\widehat{\vvec}}\) \(\newcommand{\uhat}{\widehat{\uvec}}\) \(\newcommand{\what}{\widehat{\wvec}}\) \(\newcommand{\Sighat}{\widehat{\Sigma}}\) \(\newcommand{\lt}{<}\) \(\newcommand{\gt}{>}\) \(\newcommand{\amp}{&}\) \(\definecolor{fillinmathshade}{gray}{0.9}\)Quantway Cohort Contract
By signing below, I agree to fulfill the following requirements for participation in this Quantway course, and acknowledge that I understand the requirements for continued enrollment.
Commitments to the class:
- I commit to successfully completing this Quantway course with the members of my cohort.
- I commit to supporting all of my cohort members to understand mathematics.
- I commit to supporting all of my cohort members to complete the Quantway course.
- I will come to class every day prepared to participate in all classroom activities.
- I will contribute to creating a productive classroom atmosphere that supports everyone learning.
- I will keep an open mind and a positive attitude, and will be willing to try out new learning strategies and study skills.
- I will ________________________________________________________________________
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Commitments to my group:
- We commit to coming to class and working with our group everyday
- We commit to_________________________________________________________________
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- We commit to_________________________________________________________________
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Printed Name:______________________Signature:_________________________Date:________
Printed Name:______________________Witness: __________________________Date: ________
SPECIFIC OBJECTIVES
By the end of this collaboration, you should understand that
- you are a necessary and integral part of the classroom community.
- you should feel comfortable asking questions and participating in classroom discourse, no matter your language background.
- quantitative literacy empowers people by giving them tools to think for themselves, to ask intelligent questions of experts, and to respectfully question authority confidently.
- quantitative reasoning is important for decision-making in our democratic society.
By the end of this collaboration, you should be able to
- work effectively in groups.
- understand the course expectations and what is necessary to succeed in the course.
PROBLEM SITUATION: THE VACATION PROPERTY PUZZLE
A woman writes the following question to Ask Marilyn, a newspaper help columnist:
Nine members of our family will be renting a vacation property. The total rental fee is $3,600 for 10 days. People will be staying for a varying number of days. I say the first step in figuring how much each person will owe for his or her share is to divide the fee by nine [—the number of people that will be going on the vacation]. My husband says we should start by dividing the fee by 10—the number of days we have the rental. Who is right?1
(1) Discuss the problem situation with your group. Make sure everyone understands the problem. Investigate the two methods proposed by the husband and wife to determine the monetary implications.
(2) Explore different solutions to the Vacation Property Puzzle. As a group, pick a solution to share.
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1 http://parade.com/473876/marilynvossavant/sharing-the-cost-of-a-vacation-rental/