diff --git a/gettingStarted/gettingStarted.tex b/gettingStarted/gettingStarted.tex index f914c14..8df722a 100755 --- a/gettingStarted/gettingStarted.tex +++ b/gettingStarted/gettingStarted.tex @@ -10,78 +10,75 @@ \end{abstract} \maketitle - %% \begin{listObjectives} %% \item{Determine a reasonable estimate before preforming a calculation.} %% \item{Increase student confidence in their ability to solve difficult math problems by using previous results, trying different methods, asking questions, and work- ing with others.} %% \end{listObjectives} \begin{listOutcomes} -\item{Edit/create PDFs to create completed journal entries.} -\item{Hand-in journal entries online.} -\item{Work in nonstandard units.} -\item{Estimate areas and volumes in nonstandard units.} -\item{Critique and dismantle reasonable hypotheses in regard to geometry and arithmetic.} + \item{Edit/create PDFs to create completed journal entries.} + \item{Hand-in journal entries online.} + \item{Work in nonstandard units.} + \item{Estimate areas and volumes in nonstandard units.} + \item{Critique and dismantle reasonable hypotheses in regard to geometry and + arithmetic.} \end{listOutcomes} \mynewpage - \begin{question} Here's a scale picture of a large \textit{Happy Fun Ball}: \begin{center} - \begin{tikzpicture} - % Define the radius of the circle (half of the diameter) - \def\ballradius{4.7cm} % + \begin{tikzpicture} + % Define the radius of the circle (half of the diameter) + \def\ballradius{4.7cm} % - % Draw the circle - \draw[ultra thick] (0, 0) circle (\ballradius); + % Draw the circle + \draw[ultra thick] (0, 0) circle (\ballradius); - % You can add additional elements or labels here if needed - \end{tikzpicture} + % You can add additional elements or labels here if needed + \end{tikzpicture} \end{center} -Look around our classroom. How many large \textit{Happy Fun Balls} -would it take to: -\begin{enumerate} -\item Line one edge of the classroom? - \item Cover the floor? - \item Fill the room? -\end{enumerate} -In each case, EXPLAIN how you arrive at your conclusion. + Look around the room you are in. How many large \textit{Happy Fun Balls} + would it take to: + \begin{enumerate} + \item Line one edge of the room? + \item Cover the floor? + \item Fill the room? + \end{enumerate} + In each case, EXPLAIN what you are doing and how you arrive at your conclusion. \end{question} \mynewpage - - - - \begin{question} -Small \textit{Happy Fun Balls} have a about one-third the diameter of a large \textit{Happy Fun Ball}. How many small \textit{Happy Fun Balls} would it take to: -\begin{enumerate} -\item Line one edge of the classroom? -\item Cover the floor? -\item Fill the room? -\end{enumerate} -In each case, EXPLAIN how you arrive at your conclusion. + Small \textit{Happy Fun Balls} have a about one-third the diameter of a large + \textit{Happy Fun Ball}. How many small \textit{Happy Fun Balls} would it take + to: + \begin{enumerate} + \item Line one edge of the room? + \item Cover the floor? + \item Fill the room? + \end{enumerate} + In each case, EXPLAIN what you are doing and how you arrive at your + conclusion. \end{question} \mynewpage - - - \begin{question} Your friend and fellow student \textit{Geometry Giorgio} suggests that we think in the following way: -\begin{quote} - Since a large \textit{Happy Fun Ball} has about three times the - diameter of a small \textit{Happy Fun Ball,} the answers for Problem - $2$ above should all be about three times the answers from Problem - $1$. -\end{quote} -Is \textit{Geometry Giorgio} correct? If he is correct, explain -why. If he is not correct, explain how you know he is not correct. + \begin{quote} + Since a large \textit{Happy Fun Ball} has about three times the + diameter of a small \textit{Happy Fun Ball,} the answers for Problem + $2$ above should all be about three times the answers from Problem + $1$. + \end{quote} +\begin{center} + \bf Is \textit{Geometry Giorgio} correct? +\end{center} +Check your answers from Problems 1 and 2 and use them to either \textbf{validate or invalidate} +\textit{Geometry Giorgio}'s claim. Explain what you do and explain to us how your computations helps you determine if +\textit{Geometry Giorgio} is in fact correct or not. \end{question} - - \end{document} diff --git a/journalOfGeometry.tex b/journalOfGeometry.tex index 62ee398..5c1ebcc 100755 --- a/journalOfGeometry.tex +++ b/journalOfGeometry.tex @@ -38,6 +38,10 @@ %% %% + +%% SIGNIFICANT DIGITS +%% DIMENSIONAL ANALYSIS? A LA https://hapax.github.io/physics/teaching/hacks/napkin-hacks/ + %% \partstyle %% \activity{sectionHeads/sizeAndGrowthOfNumbers.tex} %% \journalstyle @@ -102,8 +106,13 @@ \activity{gettingStarted/gettingStarted.tex} %% DONE \checkstyle \activity{gettingStarted/checkYourself.tex} %% DONE + \journalstyle +\activity{significantFigures/significantFigures.tex} %% DONE +\checkstyle +\activity{significantFigures/checkYourself.tex} %% DONE +\journalstyle \activity{roofEstimates/roofEstimates} \checkstyle \activity{roofEstimates/checkYourself.tex} %% DONE diff --git a/nets/nets.tex b/nets/nets.tex index 72c4524..19573b5 100644 --- a/nets/nets.tex +++ b/nets/nets.tex @@ -1,4 +1,4 @@ -\documentclass[noauthor,nooutcomes,hints,handout]{ximera} +\documentclass[noauthor,nooutcomes,hints,handout,12pt]{ximera} \input{../preamble.tex} diff --git a/paintedCubes/paintedCubes.tex b/paintedCubes/paintedCubes.tex index 30e71b8..8195c3d 100644 --- a/paintedCubes/paintedCubes.tex +++ b/paintedCubes/paintedCubes.tex @@ -1,4 +1,4 @@ -\documentclass[noauthor,nooutcomes,hints,handout]{ximera} +\documentclass[noauthor,nooutcomes,hints,handout,12pt]{ximera} \input{../preamble.tex} diff --git a/significantFigures/checkYourself.tex b/significantFigures/checkYourself.tex index 79b9f95..95205a6 100755 --- a/significantFigures/checkYourself.tex +++ b/significantFigures/checkYourself.tex @@ -11,78 +11,28 @@ \begin{exercise} - Here is a picture of a person wearing a backpack: - \begin{center} - \includegraphics[width=3in]{backpack.jpg} - \end{center} - If their backpack was completely filled with ping pong balls, how - many ping pong balls would you suspect were in it? - \begin{enumerate}\begin{multicols}{2} - \item Tens of ping pong balls. - \item Hundreds of ping pong balls. - \item Thousands of ping pong balls. - \item Tens of thousands of ping pong balls. - \end{multicols} - \end{enumerate} +Round $6192600$ to $3$ significant digits. \end{exercise} \begin{exercise} - If their backpack was completely filled with tennis balls, how many - tennis balls would you suspect were in it? - \begin{enumerate}\begin{multicols}{2} - \item Tens of tennis balls. - \item Hundreds of tennis balls. - \item Thousands of tennis balls. - \item Tens of thousands of tennis balls. - \end{multicols} - \end{enumerate} + Compute: $6.10\times 6271$ \end{exercise} - - - -\begin{exercise} - \textit{Chewbacca} is a $7.5$ foot tall wookie. - \begin{center} - \includegraphics{chewbacca.jpeg} - \end{center} - How much surface area does Chewbacca have? - \begin{enumerate} - \item Several square feet. - \item Tens of square feet. - \item Hundreds of square feet. - \item Thousands of square feet. - \end{enumerate} - \end{exercise} - \begin{exercise} - Wookies have around $15000$ hair follicles per square inch of - skin. How many hairs do they have per square foot? - \begin{enumerate} - \item $6\times 15000$. - \item $12\times 15000$. - \item $36\times 15000$. - \item $72\times 15000$. - \item $144\times 15000$. - \end{enumerate} +Compute: $150000\div 440.000$ \end{exercise} - + \begin{exercise} - Suppose there are $4,000,000,000$ Wookies in the universe. Do any - two wookies have the exact same number of hair follicles? - \begin{enumerate} - \item Definitely yes. %144*15000*10 < 4 billion - \item Maybe? - \item Definitely no. - \end{enumerate} - + Compute: $61100+4.4$ \end{exercise} +\begin{exercise} + Compute: $870000000 - 657000$ + \end{exercise} - -\answerlistbox{(b)}{(a)}{(b)}{(e)}{(a)} +\answerlistbox{$6190000$}{$38300$}{$340$}{$61100$}{$870000000$} \end{document} diff --git a/significantFigures/significantFigures.tex b/significantFigures/significantFigures.tex index 8df722a..ee25447 100755 --- a/significantFigures/significantFigures.tex +++ b/significantFigures/significantFigures.tex @@ -1,12 +1,11 @@ \documentclass[handout,noauthor,nooutcomes,hints,12pt]{ximera} \input{../preamble.tex} -\title{Getting started} -\author{Claire Merriman and Bart Snapp} +\title{Significant digits} +\author{Bart Snapp} \begin{document} \begin{abstract} - We make estimates of numbers of objects in every-day settings and we - observe the effects of scaling when we change objects. +We will not delude ourselves with a false sense of precision. \end{abstract} \maketitle @@ -16,69 +15,77 @@ %% \end{listObjectives} \begin{listOutcomes} - \item{Edit/create PDFs to create completed journal entries.} - \item{Hand-in journal entries online.} - \item{Work in nonstandard units.} - \item{Estimate areas and volumes in nonstandard units.} - \item{Critique and dismantle reasonable hypotheses in regard to geometry and - arithmetic.} + \item Identify the number of significant digits in an expression. + \item Apply the rules of significant digits in addition, subtraction. + \item Apply the rules of significant digits in multiplication, and division. + \item{Reflect on past work.} \end{listOutcomes} +\begin{description} + \item[Rules for determining the number of significant digits]\hfil +\begin{itemize} + \item All nonzero digits are significant. + \item Zeros between nonzero digits are significant. + \item Leading zeros are not significant. + \item Trailing zeros are significant only if there is a decimal point. +\end{itemize} + \item[Addition and Subtraction]\hfil + \begin{itemize} + \item The sum or difference should have the same number of decimal places as the measurement with the fewest decimal places. + \end{itemize} + \item[Multiplication and Division]\hfil + \begin{itemize} + \item The product or quotient should have the same number of significant digits as the measurement with the fewest significant digits. + \end{itemize} +\end{description} \mynewpage \begin{question} - Here's a scale picture of a large \textit{Happy Fun Ball}: - \begin{center} - \begin{tikzpicture} - % Define the radius of the circle (half of the diameter) - \def\ballradius{4.7cm} % - - % Draw the circle - \draw[ultra thick] (0, 0) circle (\ballradius); + Let's see if you understand the rules above. Go to: +\begin{center} + \url{https://chemquiz.net/sig/} +\end{center} +and quiz yourself! +\begin{itemize} + \item Select 5 problems. + \item Select all types of questions: Counting sig figs in numbers, Rounding numbers by sig figs, Multiplication \& division problems with sig figs, Addition \& subtraction problems with sig figs. + \item Select decimal (regular) notation + \item Choose your thousands separator. + \item No units. + \item Fill-in-the-blank + \item Start! +\end{itemize} +Take the quiz until you achieve a perfect score. - % You can add additional elements or labels here if needed - \end{tikzpicture} - \end{center} - Look around the room you are in. How many large \textit{Happy Fun Balls} - would it take to: - \begin{enumerate} - \item Line one edge of the room? - \item Cover the floor? - \item Fill the room? - \end{enumerate} - In each case, EXPLAIN what you are doing and how you arrive at your conclusion. +\textbf{BELOW, DESCRIBE A PROBLEM YOU MISSED OR THOUGHT WAS TRICKY.} \end{question} \mynewpage \begin{question} - Small \textit{Happy Fun Balls} have a about one-third the diameter of a large - \textit{Happy Fun Ball}. How many small \textit{Happy Fun Balls} would it take - to: - \begin{enumerate} - \item Line one edge of the room? - \item Cover the floor? - \item Fill the room? - \end{enumerate} - In each case, EXPLAIN what you are doing and how you arrive at your - conclusion. +Demonstrate skill here by answering the following questions respecting significant digits. \textbf{In each case, explain your reasoning.} +\begin{enumerate} + \item Compute: $32.8000 \cdot 7200$ + \vfill + + \item How many significant digits are in $191.000$? + + \vfill + \item Round $3363750$ to $4$ significant digits. + \vfill + + \item Compute: $5290 - 0.3100$ + \vfill + \item Compute: $87 900 000 + 10 000$ +\vfill +\end{enumerate} + + \end{question} \mynewpage \begin{question} - Your friend and fellow student \textit{Geometry Giorgio} suggests - that we think in the following way: - \begin{quote} - Since a large \textit{Happy Fun Ball} has about three times the - diameter of a small \textit{Happy Fun Ball,} the answers for Problem - $2$ above should all be about three times the answers from Problem - $1$. - \end{quote} -\begin{center} - \bf Is \textit{Geometry Giorgio} correct? -\end{center} -Check your answers from Problems 1 and 2 and use them to either \textbf{validate or invalidate} -\textit{Geometry Giorgio}'s claim. Explain what you do and explain to us how your computations helps you determine if -\textit{Geometry Giorgio} is in fact correct or not. +Let's reflect on the activity we did the previous class day. Express your answers from Problems 1 and 2 from that activity +respecting significant digits. Explain your reasoning. \end{question} \end{document} diff --git a/sineAndCosine/sineAndCosine.tex b/sineAndCosine/sineAndCosine.tex index 99e9994..bcb4d74 100755 --- a/sineAndCosine/sineAndCosine.tex +++ b/sineAndCosine/sineAndCosine.tex @@ -1,4 +1,4 @@ -\documentclass[noauthor,nooutcomes,hints,,12pt]{ximera} +\documentclass[noauthor,nooutcomes,hints,handout,12pt]{ximera} \input{../preamble.tex} diff --git a/solarAngle/solarAngle.tex b/solarAngle/solarAngle.tex index 7a5faa3..96cbfb2 100755 --- a/solarAngle/solarAngle.tex +++ b/solarAngle/solarAngle.tex @@ -130,7 +130,7 @@ \item Why are the Sun's rays parallel? \item At each drawn point on the Earth above, we have drawn a stick pointing ``straight up.'' Moreover, we have labeled this with the - so-called ``solar zenith angle.'' Identify and mark the geometric + so-called ``solar zenith angle.'' Identify and mark a \textbf{human-measurable} angle that determines the value of the solar zenith angle. \item \textbf{Lines of latitude} are formed by making an angle from a desired position, to the center of the Earth, to the point on diff --git a/sunAndShadows/sunAndShadows.tex b/sunAndShadows/sunAndShadows.tex index 7570d0b..6c68d46 100755 --- a/sunAndShadows/sunAndShadows.tex +++ b/sunAndShadows/sunAndShadows.tex @@ -102,5 +102,6 @@ \item The difference in the length of this shadow on the summer solstice and the winter solstice. \end{enumerate} +In both cases, explain your reasoning and show work. \end{question} \end{document}