A basic worksheet

$\newenvironment {prompt}{}{} \newcommand {\accordion }[0]{} \newcommand {\ungraded }[0]{} \newcommand {\xmDefaultPreamble }[0]{xmPreamble.tex} \newcommand {\xmDefaultPrintstyle }[0]{xmPrintstyle.sty}$

A simple Ximera activity.

Perhaps the most natural setting for Ximera content is that of a worksheet. This is some document that may contain discussion as well as questions that check understanding.

Ximera comes pre-equipped with many environments. If you are ever curious about the source code, you can visit this source at

https://github.com/ximeraProject/ximeraFirstSteps

or by appending .tex to the URl of this page online.

1 A basic use case

We use\begin{definition} for definitions and \begin{question} for questions. Since Ximera provides immediate feedback, we suggest following definitions like this one by a quick question. Here’s an example:

The absolute value of a real number $a$, denoted by $|a|$, is \[ |a| = \begin{cases} a & \text {if $a \geq 0$} \\ -a & \text {if $a<0$.} \end{cases} \]

Now students can check their understanding:

Evaluate the following:

(a): $|2-5| = \answer {3}$
(b): $|5-2| = \answer {3}$
(c): $|5-\sqrt {2}| = \answer {3.58578643763}$
(d): $|5-\sqrt {2}| = \answer {5-\sqrt {2}}$

You can see the source code for this file by appending .tex to the end of the URL.

2 A paradox

Here’s something fun

$0=1$ Let $x=y$ and write \begin{align} x^2 & = xy \\ x^2 - y^2 & = xy - y^2 \\ (x-y)(x+y) & = (x-y)y \\ (x+y) & = y \\ 2y & = y \\ 2 & =1. \end{align}

Where is the mistake in the work above? \[ \text {Between line }\answer {3} \text { and line }\answer {4}. \]

3 Basic exercises

After that, you might want to have some exercises:

Let $x$ be the number of people out of $100$ that LOVE Ximera.

Find the value of $x$. \[ x = \answer {100} \]

Maybe you want a problem with one or more parts,

Ximera is so awesome because it feels like:

Doing taxes Writing a book by hand A walk in the park with free ice cream Solving a puzzle blindfolded

Why is Ximera the best thing since the chalkboard?

It turns LaTeX into online materials It boosts student engagement It makes coffee and hugs you Its open-source and free

Finally we can include pictures using includegraphics. Here’s an example of a question with a picture.

Here is a picture of the Ximera Octolion:

What’s their name? \[ \text {Name} = \answer [format=string]{Xarlie} \]

Their name begins with an “X.”

It ends with an “arlie.”

It’s almost Karlie!

We include JPGs and PDFs in exactly the same way.

2024-11-10 21:40:30