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bartsnapp committed Jan 5, 2025
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89 changes: 43 additions & 46 deletions gettingStarted/gettingStarted.tex
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\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}
9 changes: 9 additions & 0 deletions journalOfGeometry.tex
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%%
%%


%% SIGNIFICANT DIGITS
%% DIMENSIONAL ANALYSIS? A LA https://hapax.github.io/physics/teaching/hacks/napkin-hacks/

%% \partstyle
%% \activity{sectionHeads/sizeAndGrowthOfNumbers.tex}
%% \journalstyle
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\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
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2 changes: 1 addition & 1 deletion nets/nets.tex
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@@ -1,4 +1,4 @@
\documentclass[noauthor,nooutcomes,hints,handout]{ximera}
\documentclass[noauthor,nooutcomes,hints,handout,12pt]{ximera}

\input{../preamble.tex}

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2 changes: 1 addition & 1 deletion paintedCubes/paintedCubes.tex
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@@ -1,4 +1,4 @@
\documentclass[noauthor,nooutcomes,hints,handout]{ximera}
\documentclass[noauthor,nooutcomes,hints,handout,12pt]{ximera}

\input{../preamble.tex}

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68 changes: 9 additions & 59 deletions significantFigures/checkYourself.tex
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Expand Up @@ -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}
113 changes: 60 additions & 53 deletions significantFigures/significantFigures.tex
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@@ -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

Expand All @@ -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}
2 changes: 1 addition & 1 deletion sineAndCosine/sineAndCosine.tex
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@@ -1,4 +1,4 @@
\documentclass[noauthor,nooutcomes,hints,,12pt]{ximera}
\documentclass[noauthor,nooutcomes,hints,handout,12pt]{ximera}

\input{../preamble.tex}

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