Desmos Activities

Below are a list of custom Desmos activities. They range in grade from 6-12. They are in chronological order from when they were made so you may just want to search the page with keywords. Let me know if you have any questions or see any issues.

Investigate Quadrilateral Diagonals

In this investigation students explore the properties of the diagonals of a quadrilateral to help classify what type it is. There is some minor geometry construction they have to do but there are instructions on how to do it. On the last slide students are challenged to use their knowledge to guess the type of quadrilateral based on the characteristics. NOTE: Geometry in Activity Builder is still in beta form. So there may be times when this is not working correctly (or at all). For a brief walk through video, click here.
Curriculum Tags: Quadrilaterals, Gr8
https://teacher.desmos.com/activitybuilder/custom/59f0be8c02bd2107db0aeca7

Subtracting Integers

In this activity students subtract integers by, first, rewriting the questions as addition problems. Then getting a visual solution via a numberline. Finally, they get to practice with randomly generated problems that will self check for the students.
Curriculum Tags: Subtracting Integers, Gr7, Gr8
https://teacher.desmos.com/activitybuilder/custom/59e8b1797188fa18debdca96




Cardsort: Solutions of Quadratics

In this card sort students focus on the solutions of quadratic relations. They are to match up the table, factored and graphical forms for each quadratic. You may wish to switch the factored form to the standard form to make this more difficult. The original version of this was a physical card sort that is used to put students into groups of three http://engaging-math.blogspot.ca/2015/03/sort-students-into-groups-using.html
Curriculum Tags: Solving Quadratics, Quadratics, Parabolas, Graphs, MPM2D, MBF3C, MCF3M, MCR3U
https://teacher.desmos.com/activitybuilder/custom/58e791d2a3cb2342b3ec93a8

Position, Velocity, Acceleration

Investigating the relationship between position, speed, and acceleration. This is meant to to help students connect the three conceptually to help solidify ideas of what the derivative (and second derivative) means. Students should have had some introduction of the concept of the derivative before they start. Note that this uses the Sketch feature and so is ideally suited to a tablet, though it can be used on a laptop as well. This is a bit long so you may want to give this to students as a take home assignment to be consolidated on the following day. And thanks to @bmorris76865383 there is now a French version.
Curriculum Tags: rates of change, position, speed, acceleration, 2nd derivative, Calculus, MCV4U

Marbleslides: Rational Functions MHF4U

This marbleslides activity is meant to be a consolidation activity after students have studied the properties of rational functions based on linear & quadratic relations as well as functions in the form f(x) = (ax + b)/(cx + d). Note that on each slide, if you create your own copy and edit the activity, there are hidden answers that are suggested. Note: The intent is that students DO NOT use transformations here but, instead, the properties of these rational functions This is part of a bigger investigation with multiple Desmos activities http://engaging-math.blogspot.ca/2017/02/investigating-graphs-of-rational.html
Curriculum Tags: Rational Functions, MHF4U

Cardsort: Reciprocal Functions

This activity is intended to be a consolidation of ideas when looking at graphs of linear & quadratic functions and their corresponding reciprocal functions. Before students do this activity, the idea is that they would have already been introduced to the graphs and started to identify characteristics of reciprocals of linear and quadratic functions. Students, however, at this point shouldn't need much algebraic knowledge of these functions. There are two parts to this activity, first there are two cardsorts. Those are the main thing for students to do. Afterwards there are a few more slides to investigate properties of reciprocal functions based on linear and quadratic functions. They are intended for students who have gone through the cardsort quickly and need extensions. This is part of a bigger investigation with multiple Desmos activities http://engaging-math.blogspot.ca/2017/02/investigating-graphs-of-rational.html
Curriculum Tags: Rational Functions, MHF4U

Investigate Reciprocal Functions

This is meant to be an introductory activity when looking at reciprocal functions of linear and quadratic functions. This is part of a bigger investigation with multiple Desmos activities http://engaging-math.blogspot.ca/2017/02/investigating-graphs-of-rational.html
Curriculum Tags: Rational Functions, MHF4U

Rational Functions in the form (ax+b)/(cx+d)

In this investigation, students look at the connections between the the coefficients and the intercepts & asymptotes of the function in the form f(x) = (ax+b)/(cx+d). There are three parts, first there is an investigation of the intercepts, then the asymptotes, and finally, students test their knowledge with several Match my Function slides. There are a lot of slides here and this could easily be done as a homework assignment that is consolidated the next day in class. This should take 30-50min This is part of a bigger investigation with multiple Desmos activities http://engaging-math.blogspot.ca/2017/02/investigating-graphs-of-rational.html
Curriculum Tags: Rational Functions, MHF4U

Polygraph - Distance - Time

This Polygraph focuses on describing the characteristics of distance-time graphs with linear sections (or more generally piecewise continuous linear functions)
Curriculum Tags: Polygraph, Distance Time Graphs, Gr8, MPM1D, MFM1P

Histograms

This is meant to be a consolidation task to be done after the class has been introduced to histograms and the distinction between continuous and discrete data. It starts with two card sorts then there are a few slides to get some idea of the connection of average.
Curriculum Tags: Histograms, Gr8, MBF3C, MDM4U

Graph Sort

This activity is an introductory activity meant to introduce histograms. By showing students bar graphs and histograms and asking them first to sort them in any way, then to sort them into two groups and then finally two groups where one are bar graphs and the other are histograms (don't tell them that, just show them an example of each). This is part of a bigger activity http://engaging-math.blogspot.ca/2016/12/introducing-histograms.html
Curriculum Tags: Histograms, Gr8, MBF3C, MDM4U

Catch em All

In Pokemon Go players try to "Catch em All" but sometimes they just can't. In this activity students will explore some data collected about the number of times particular Pokemon were seen and caught. 
This is intended for students just starting to explore the idea of interpolation/extrapolation and the line of best fit
This is part of this larger blog post where all the data is collected and there is opportunity to collect more http://found-data.blogspot.ca/2016/09/collecting-data-from-pokemon-go.html
Curriculum Tags: Linear Regression, Interpolation, Extrapolation, MPM1D, MFM1D, MAP4C, MDM4U

Derivatives of Polynomials

Investigate the nature of the derivative with simple polynomial functions (in this case mostly quadratics). This meant to be a graphical introduction to the power rule so if students have not done the algebraic work of using the limit to determine the derivative, they should be fine. If that is the case then the word "derivative" may be new to them. If they have experienced taking the limit to determine the derivative of a polynomial then this could be a way to consolidate it graphically. This was based on a sketch originally done by @Eluberoff
Curriculum Tags: Derivatives, Calculus, MCV4U
https://teacher.desmos.com/activitybuilder/custom/571ed42ef68cf5f10ee49d22

Match My Line (Direct Variation)

In Ontario our grade 9 students describe linear relationships as direct or partial variations. Our grade 9 applied students are supposed to look at linear relationships only if they are in context. This activity investigates direct variations in the context of a distance time graph.
Note that you may want to change the title so that the phrase direct variations does not appear so it does not give away the topic. This was inspired by Michael Fenton's Match My Line which is awesome. Check it out here
Curriculum Tags: Linear Functions, MPM1D, MFM1P
https://teacher.desmos.com/activitybuilder/custom/55dc5f63265fda125f26f67f

Match My Line (Partial Variations)

In Ontario our grade 9 students describe linear relationships as direct or partial variations. Our grade 9 applied students are supposed to look at linear relationships only if they are in context. This activity investigates partial variations in the context of a distance time graph.
Note that you may want to change the title so that the phrase direct variations does not appear so it does not give away the topic. This was inspired by Michael Fenton's Match My Line which is awesome. Check it out here
Curriculum Tags: Linear Functions, MPM1D, MFM1P
https://teacher.desmos.com/activitybuilder/custom/55dc9768265fda125f2847d5

Number Sentences - Equations

This is a very simple sorting activity where students are given expressions & equations and the sentence to describe them and have to match them up. This is meant to be an activity that is relatively quick. There are three sorts that are all very similar to each other so you may wish to break students up into groups and assigning different sorts to each group. In each sort there are some equations that have no match. Students will have to create their own sentences following the sort. For a the more traditional "hands on" version click here http://engaging-math.blogspot.ca/2016/02/number-sentences.html
Curriculum Tags: Algebra, Equations, Gr7, Gr8, MPM1D, MFM1P
https://teacher.desmos.com/activitybuilder/custom/578a839d2458b548194bdb75

Number Sentences - Expressions

This is a very simple sorting activity where students are given expressions and the sentence to describe them and have to match them up. This is meant to be an activity that is relatively quick. There are four sorts that are all very similar to each other so you may wish to break students up into groups and assigning different sorts to each group. For a the more traditional "hands on" version click here http://engaging-math.blogspot.ca/2016/02/number-sentences.html
Curriculum Tags: Algebra, Expressions, Gr7, Gr8, MPM1D, MFM1P
https://teacher.desmos.com/activitybuilder/custom/578a780c861c7b82316ed2d9

Investigating Rates of Changes of Functions

This is a short investigation to introduce the idea of regions of increase and decrease as they relate to rate of change and maxima and minima of functions. It is based on an interactive Flash object I designed for the Ministry of Ontario over 10 years ago for their eLearning project.
Curriculum Tags: Rates of Change, Calculus, MCV4U
https://teacher.desmos.com/activitybuilder/custom/56c35b1c5da35e0b4c1efec5



Can You Survive a Jump off of a Cliff?

The purpose of this activity is to conceptually investigate projectile motion by first looking at D-t graphs as well as graphs that represent the path of motion. There is very little calculation involved in this series of slides (though a clever kid might still do some) and it makes use of the Sketch feature of Activity Builder so students can draw right on some of the graphs.
Curriculum Tags: Parabolic Motion, MPM2D, MFM2P, MCR3U, MBF3C
https://teacher.desmos.com/activitybuilder/custom/574d8cf4436eb9c449fc0906

Show Me a Triangle

This is meant to be a very simple activity that lets teachers quickly see if students have the general idea of the difference between acute, right, obtuse, isosceles and equilateral triangles. When you look at the OVERLAY view of your student work, any students who have issues should stand out from the others.
Curriculum Tags: Triangle Properties, Gr 7
https://teacher.desmos.com/activitybuilder/custom/57178f667e5eb51b06de9287

Shown Me an Angle

This is meant to be a very simple activity that lets teachers quickly see if students have the general idea of the difference between acute, right, obtuse, and straight angles. When you look at the OVERLAY view of your student work, any students who have issues should stand out from the others.
Curriculum Tags: Angle Properties, Gr6
https://teacher.desmos.com/activitybuilder/custom/570d413d22c6711a062efc28


Des-Draw Linear

This activity was modified from @mathycathy's activity so that students would only use linear relationships. Below is her description:
While the original Des-Man is receiving a makeover, give Des-Draw a try! My hope is to leave it open to encourage students' creativity while helping them brush up on restricting the domain and range of various functions... gently reminding them that using inequalities can create some rad shading
Curriculum Tags: Linear Functions, MPM1D, MFM2P
https://teacher.desmos.com/activitybuilder/custom/57071a80e51ffd0909962916

Intercepts

A simple activity to introduce the idea of x intercepts to students. Students should be familiar with the y intercept before they start this. It might also help if they know that if they click on a particular point, then its label will stay visible.
Curriculum Tags: Intercepts, Linear Functions, MPM1D, MFM2P
https://teacher.desmos.com/activitybuilder/custom/5661d9faa75709a709db400a




Anscombe's Quartet 

Anscombe's Quartet is a set of data that is curious in that each set of values is different yet they all have similar numerical analysis but very different graphical representations. It is great for showing the importance of both graphical and numerical analysis of data.
Curriculum Tags: Regression, lines of best fit, MDM4U, MAP4C
Desmos skills needed: making a graph or points visible, creating a regression model
https://teacher.desmos.com/activitybuilder/custom/56364b6f58d09115172b6a3c

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