**Home** / **limit calculator mathway** / Let the Artist in You Shine! - ewing.k12.nj.us

Let the Artist in You Shine!Beginning StepsGo to https://www.desmos.com/calculator and create a free account. This is necessary so that you can save your work. Be sure your username and password is school appropriate, and that you make note of it. Use this link below if you have questions about how to create a particular graph.https://desmos.s3.amazonaws.com/Desmos_User_Guide.pdfHINT: Make sure that you read about sliders, they will help you quite a bit and can be used with either variables in the function or in the domain limits.To limit the domain of a function:Type the function in, and then in curly brackets, type the limitation. For example if I want the quadratic parent function just between -2 and 2, I type: y=x2{-2≤x≤2}. Try it and see how it works. To shade a graph write the function as an inequality.Refer to the attached list of parent graphs (I added a few that we haven’t learned yet, but that you may want to try).Here’s a fairly simple design that I created – you can do better I’m sure!https://www.desmos.com/calculator/6pwfnvhdei (note the use of sliders and of domain limits)Here’s an example to aspire to: www.desmos.com/calculator/tyayekvdofPlan Your ArtMake sure that you READ THE RUBRIC so that you understand the project requirements.What, you say? You are not an artist? OK … let’s brainstorm. Maybe it is a logo for your favorite school or team. Maybe it is a “shield” that represents who you are. Maybe it is a simple rendition of a piece of famous art. Maybe it is a cartoon character that you want to bring to life.Create a simple pencil sketch of your planned art on graph paper. Here’s the catch … as you create your sketch, think about the parent functions you have learned (and their transformations). Some of you may prefer to try out ideas directly in DESMOS rather than starting with a sketch….it’s up to you!Create your Art on DesmosLog in so that you will be able to save your work.Note that you can vary the window if you’d like.You can change the color of the lines you use. Hold your cursor down on the color button next to the equation and a menu of colors will pop up. You can change your line from solid to dotted, and change the color.Submit your WorkWhen your artwork is complete, use the share your work icon in the top right corner of the toolbar and email your graph to bfischer@ewingboe.org5. Reflect on your workReflect on your work. Include the following pieces of information. Printout your reflection or email it to me using a filename that is in the format AGaylordreflection.comYour name, date, class periodThe Title of your pictureA list of how many of each type of function you usedHow you chose the topic of your art with an explanation of why that topicWhat you found interesting about creating art on DesmosWhat you found difficult in creating art on DesmosHow you would change this project for students next year.Parent FunctionsFor all functions listed below, m, a, b, h, k and r represent constants (real numbers of your choosing)Y = mx + b (linear)Y = a (horizontal)X = a (vertical)Y = x2 (basic parabola) Vertex form: y= ax-h2+k Remember : (h,k) is the vertex and a determines width, -a turns it upside down“Sideways” parabola x=y2 You can modify the sideways parabola by doing x-a=y-b2Exponential y=a(b)x when b > 1, growth, when 0 < b < 1 decay. a is always positiveCircle x2+y2=r2 where r is the radiusTo shift the circle try: (x-h)2+ (y-k)2=r2Hyperbola y=ax DO NOT FORGET INEQUALITIES WITH ALL OF THE ABOVE – they’ll give you shadingTry y≥x2, y>x-32+4 etc.To color in a circle (x-h)2+(x-k)2≤rRUBRICDesmos Graphing Project10 – 98 – 76 – 0 Score Uses 5 out of the 8 parent functions Uses 6 or more than 5 function typesUses 5 out of 8 parent functionsUses less than 5 function typesIncludes at least two inequalities so that the graph has shaded portionsUses 3 or more inequalities Uses at least 2 inequalitiesUses less than 2 inequalitiesIncludes at least 15 graphs (note that while sliders are extremely useful, they do not count towards the number of graphs)Uses 20 or more graphsUses at least 15 graphsUses less than 15 graphsCreativity and attention to detailExcellent creativity and attention to detailVery good creativity and attention to detailFair creativity and attention to detailCompletes and submits the reflectionMax 5 pointsTotal score (out of 45 points): _________________________

What is less than in a sum?