class: center, middle, inverse, title-slide .title[ # Rules for Graphs ] .subtitle[ ## ⚡
Physics Labs ] .institute[ ### TUD Physics ] .date[ ### Thursday September 19 2024 ] --- <!-- background-image: url(img/xkcd.png) --> ??? Image credit: [Wikimedia Commons](https://commons.wikimedia.org/wiki/File:Sharingan_triple.svg) --- class: center, middle # Graphs ## ... and how they should be drawn --- class: inverse .panelset[ .panel[ .panel-name[Rules] 1. Use Pencil 2. All graphs have titles 3. Label the axes 4. Choose scales for the axes 5. Draw in points 6. Best fit line 7. Calculate slope ] .panel[ .panel-name[1] .pull-left[ ![](img/Pencils_hb.jpg) ] .pull-right[ ![](img/pen.png) ] - don't use pen anywhere on the graph page - this means pencil for: - graph title - axes titles - everything - even in the margins around the edge of the page - Pencil ] <!-- end of panel --> .panel[ .panel-name[2] .pull-left[ ### Template for Title - format - what's on _y axis_ - _vs_ - what's on _x axis_ - and some _context_ - Don't use abbreviations - Graph title not the same as the experiment title - Don't be afraid to be expansive, give details in the *context* part ] .pull-right[ ![](img/title.png) ] ] <!-- end of panel --> .panel[ .panel-name[3] .pull-left[ ### Axes Labels - can use abbreviations - always give units ] .pull-right[ ![](img/axes-titles.png) ] ] <!-- end of panel --> .panel[ .panel-name[labels] <br> <br> ![](img/label-axes.png) ] <!-- end of panel --> .panel[ .panel-name[4] .pull-left[ ### Axes Scales - look at range of data - count number of available boxes on axes - always use multiples of 1, 2, 5... - or 0.5, 0.2, 0.1... - can go landscape if better ] .pull-right[ ![](img/axes-scales.png) ] ] <!-- end of panel --> .panel[ .panel-name[5] .pull-left[ ### Put in the points - using their x and y coordinates - dot where actual measurements land - circle around point indicating level of uncertainty - don't make circles too small ] .pull-right[ ![](img/points.png) ] ] <!-- end of panel --> .panel[ .panel-name[6] .pull-left[ ### Best Fit Line - draw a line nested through the points - one straight line in midst of points - usually close to the origin, but never through it - usually roughly equal number of points above and below - don't just connect first and last points ] .pull-right[ ![](img/line.png) ] ]<!-- end of panel --> .panel[ .panel-name[7] .pull-left[ ### Calculate Slope - pick two points at either extreme of line - not data points - work out the (x, y) coordinates for each point - use formula `\(slope\:=\:\frac{y_2-y_1}{x_2-x_1}\)` - do calculation on graph page if you have space ] .pull-right[ ![](img/slope1.png) ] ]<!-- end of panel --> .panel[ .panel-name[8] ![](img/pen.png) ] ] <!-- end of panelset -->