Blue Point Ruleby Desmos. (added 9/18/16), Squares and Square Roots Card SortStudents often confuse the concepts of "square" and "square root". Sum and Differences on the Number LineIn this short activity, students explore the relationships among a + b, a b and b a on a number line when the precise values of "a" and "b" are unknown, but their signs are known. We were accustomed to using similar strategies with handheld calculators. Key vocabulary that may appear in student questions includes: pyramid, prism, cone, cylinder, sphere, point, edge, surface, lateral, and base. (added 10/25/17), Polygraph: Clocksby Desmos. (Does not require writing equation for the line.). Feel free to have students use the following handout to: 1) Describe the pattern in their own words; 2) Draw the 4th step; 3) Sketch the 43rd step; 4) Make a table; 5) Write the function for each pattern; Handout: by Andrew Stadel. It presents a linear modeling situation and asks students to interpret the equation, coordinate pairs that are solutions, and coordinate pairs that aren't solutions. New standards in mathematics promote students have a deeper conceptual understanding of mathematics and how they can be applied in the real world. Learners were to group all the functions together and all the non-functions together. (added 9/2/17), by mathycathy. This activity is an interaction version of puzzles that can be found. They describe this pattern in words and pictures, they use it to predict, and they generalize the pattern. LEGO Prices by Desmos. Teachers will see which time formats are easier and harder for students. (added 4/18/17), Target Practice [linear systems] by Andrew Stadel. IM1.1.3 One Variable InequalitiesOk, I might have overdone it on this one (is 5 card sorts too many? Its more of a general or open tool to be use as desired. by Elizabeth Kerns. Is there a way to print out the screens? Students will make predictions about the world record times for the women's 400 meter dash. Integer Game Students play three rounds of an integer game where they (1) find the sum of a set of five integers, and (2) decide whether their sum is greater than their partner's. Y-intercepts express themselves as constants in linear equations. Here's an intro activity on solving one-step equations that includes opportunities for organizing work using "Sketch" and "Card Sort" and error analysis using "Sketch". (added 7/1/18), Talkers & Drawers - Linear Relationsby Jonorr. Zip. Is it possible for me in the CL layer to print that list in a note somewhere? In this activity, students build coordinate plane proficiency through a guess-the-location-style game. Having the students write both the equation, graph the function, and use a verbal description will require students to become familiar with transformation vocabulary. The linear model predicts they'll eventually have an instantaneous running time.) Students will generate a need to use less informal language and more formal language when describing linear relations. Learning objective: find the distance between two points on a coordinate plane. Another screen may ask students to match cards that belong together in a mathematical manner. With that in mind, it makes a great first activity in an exponential functions unit. 30-45 minutes. Teacher.Desmos.comsearch for activities by keyword; bundles are well curated, Mr. Chow Math -- Breakout Activities (Desmos), A list of MathyCathy's Desmos Activities and Card Sorts, Custom Desmos Activities - Paul Jorgens (@pejorgens), Custom Desmos Activities - Richard Hung (Twitter: @rnhung), Address comments / suggestions about this document to, These activities activities were found at. Inspired by: *:The work of Fawn Nguyen* This example, presented by Jo Boaler. Describe scenarios representing bivariate data with positive, negative, and no association. Now you can swap out those informal words for more formal ones. (10/9/16) [also listed with grade 8]. They'll create a giant and then make sure all of his features are proportional. (10/9/16). What will students discuss with inequalities, shading, open circles, closed circles? In this activity, students build coordinate plane proficiency through a guess-the-location-style game. Note: This activity requires that students collect walking data prior to completing the activity. Thanks to the ability to copy-and-paste screens from one Desmos Activity to another, this mash-up includes modified screens from other activities . (added 4/18/17). (added 9/17/16), by mathycathy. Equations are written in slope-intercept and standard form. It would be incredible if there was a way, for example, for the teacher to choose an item to export. by mathycathy. The National Council of Teachers of Mathematics (NCTM) holds the position that, It is essential that teachers and students have regular access to technologies that support and advance mathematical sense making, reasoning, problem solving, and communication. Edited with love by David Petro. They describe this pattern in words and pictures, they use it to predict, and they generalize the pattern. In this lesson, students: 1) describe and execute translations in words and coordinate notation, and 2) perform error analysis by critiquing a classmate's mistake and then fixing it. Match graphs with their equations and evaluate. After making an initial prediction, students use a graph to make a more accurate prediction. Students will observe a red point transform into a blue point by way of a mystery transformation. 45-60 minutes. Regression equations can be calculated. Encourage higher level students to use fewer equations to increase the difficulty level. Students create "Winking Boy" (a simplified Desman) by using linear equations with domain and range restrictions. Students will apply their understanding of the angles of an isosceles trapezoid to create a complete archway. This Custom Polygraph is designed to spark vocabulary-rich conversations about three-dimensional objects. Other Desmos activities provide interactive math games that teachers can use to build and assess mathematical language. Geometry Basic Vocabulary Matching Card sort. Card Sort: Linear Systems Students practice what they've learned about solving systems of linear equations. ", Havent run it but looks good, would do this before doing Sugar Sugar.(Soltani). This activity serves as an example of the usefulness of mathematical structure in general (in this case, the coordinate grid) and a potential launching point into discussions about rate of change for linear functions. Practice. (Also see Des-Drawwhich includes nonlinear.). Check out these activities from NGPF's Desmos Collection. It is not expected that students will complete all of the challenges. (also listed below with grade 8 linear), In this task, students analyze the structure of a visual pattern. See, by Christopher Kunkel. Students will first write about that transformation verbally, developing their intuition about the transformation, before then writing it algebraically. formal language might students have in their conversations about the steepness of ramps, attributes of triangles, etc.? Let's see how these new "choice" features work with students today! Designed to spark vocabulary-rich conversations about functions and relations. If you are returning to this document and want to find whabattlets new, search for the word added using or to bring up activities entered since this resource was first created. The activity begins with a review of the graphical meaning of a solution to a system. Let's start a "math fight"! This activity helps students understand the need for a common language to describe time and to surface early ideas about that language. They progress through adding two positives, two negatives, opposites, and one of each. The activity starts gently, and over the course of some 30 screens builds in complexity and surprise, culminating in a coefficient-less Bonus Round. 3) Did you find the sample activities engaging? (10/9/16) [also listed with grade 8]. Development. We hope it can be a valuable resource for those who want to stay up to date on the latest tools and activities, as well as an easy way to get caught up after a break. You do have access to the teacher guide for any activity that lays out a summary, teacher tips, all of the screens, and places for you to leave notes. In this Desmos-ified treatment of a classic math problem, students will first construct expressions with numbers to determine the number of tiles that border a pool. Womens 4x100 Olympic RelayStudents examine a scatter plot showing winning times for the 4x100 m Olympic relay from 1928-1980. How did you see it? Apply these techniques in the context of solving real-world and mathematical problems. In particular, students focus on linear vs nonlinear association, strong vs weak association, and increasing vs decreasing plots. Print Screen Views - Questions - Desmos Activity Builder Support Print Screen Views Questions wwhitmore March 24, 2019, 5:25pm 1 Is there a way to print out the screens? Students will graph the fu. (added 10/9/16), by Andrew Stadel. Designed to spark vocabulary-rich conversations about scatter plots. by Desmos. by Andrew Stadel. A template for students to crea, This is an exploration activity which utilizes Desmos.com, a free online graphing calculator, to allow students to explore the different transformations of functions. The Desmos graphing calculator has much of the features of a handheld graphing calculator. Then the two will swap roles. A short review on linear systems that taps into student intuition and their understanding of: slope-intercept form attributes of a system with one solution attributes of a system with no solution (10/9/16). (added 8/17/17) See this postfor more information and suggestions. Students decide whether various representations are functions or not, and sort them accordingly. Collaboration is key. If you have ever wondered, How do I build adjustable rows and columns? Students will follow steps taking them through each of the individual transformations that can occur. They find a trend line and interpret the slope of the line. (added 10/9/16), Coin Captureby Desmos 15-30 minutes. This activity includes the Least Solution challenge (see next activity below). In this activity, students explore the idea of "steepness" of line segments. Y-intercepts express themselves as constants in linear equations. Teachers will have the opportunity to discuss with students how different ways of talking aren't right or wrong or smart or dumb. Edited with love by Desmos. Individuals, pairs, or small groups sort the statements in the appropriate categories of ALWAYS being true, SOMETIMES being true, or NEVER being true. Addition of Integers - Hot Air Balloon by Elizabeth Raskin. (added 10/9/16), mini-project (also in our projects folder). Piecewise Functions--Segmented Functions. Water LineStudents watch glasses filling with water and graph what they see to uncover (mis)conceptions about graphs. Students place points to show values along straight or curved paths. In this activity students are able to interact and explore different representations of a linear growing pattern. The 2-Hour Marathon Students build a model for world-record marathon times, then use this knowledge to critique a sports medicine news story, and to consider the process of mathematical modeling itself. Practice with slope-intercept form. by Desmos. This visual introduction helps students self-check their algebraic steps along the way. In each sort there are some equations that have no match. 4) After viewing sample activities and seeing the possibilities in Desmos Activities, into what specific lessons would you like to integrate Desmos Activities? Reflections by mathycathy. Adapted from Malcolm Swan's Language of Functions and Graphs. This activity is NOT really "All About Area!". Hit 'Em Have your students construct lines that go through the points while thinking about their strategy as they do! Pixel Patterns Students investigate patterns in order make predictions about the number of blue and purple squares in a grid of pixels. In this activity, students apply (and deepen) their knowledge of one-variable inequalities to "collect" as many points on the number line as they can. (added 8/2/17). You're gonna need it. This activity reverses the question of sketching linear functions. This activity consists of a patterning problem to help students understand linear relationships. Along the way, they'll consider the "story" told by the graph, regression equation, and (in a bonus challenge at the end) its residuals. Student examine relationships between lines using Desmos.com - a GREAT graphing calculator resource. Encourage higher level students to use fewer equations to increase the difficulty level. By the time students get to the end of the activity, they should have a number of ways of talking about this, but its unlikely theyll write a fraction with y in the numerator and x in the denominator. (added 10/9/16), by Andrew Stadel. (added 9/10/16). A useful tool for assessing students ability to see these important attributes of triangles. (added 11/20/16). Links are provided in the file at the required places.Teachers: I hope you will like this lesson and I would appreciate if you leave your feedback in reviews. Rather, they're useful or less useful, and that's evaluated not by an answer key but by the people who are talking with each other. The tips and tricks are based on the functions allowed on state and national assessments. Rather, they're useful or less useful, and that's evaluated not by an answer key but by the people who are talking with each other. Good times! (8 activities) Starting with Polygraph and building towards Marbleslides, the linear bundleis for classrooms where students have plotted points in the coordinate plane, but have not yet mastered any of the various forms for linear equations. Key vocabulary that may appear in student questions includes: strong association, weak association, no association, positive association, negative association, linear, non-linear, increasing, and decreasing. Which result is more likelyred or blue? Playing Catch-Upby Desmos. Line of Best Fit In this activity, students make predictions aboutand witha line of best fit. Students are forced to find common factors and greatest common factors to create adjacent rectangles with a common side. Christle Clear Math Resources. Some of the challenges are very difficult to complete using a single equation, but many can be completed using a number of linear equations. (added 9/18/16), by Andrew Stadel. They will read different descriptions of time for example 5:15 or 15 after 5 or quarter after 5 and try to set a clock to that time. (added 4/16/17), Battle Boats [Primary Grades]by Desmos. (added 1/2/17), Card Sort: Angle Pairs Created by Transversals by Jarrod Huntimer. At the end, students create their own sketches for a fraction of their choosing. Polygraph: Shaded Rectangles by Andrew Stadel. Featured in, by Paul Jorgens. Students (Pre-Algebra or beginning Algebra 1) look at tables of linear solutions to predict other solutions that are part of the linear relationship. In this activity, students use observations about scatterplot relationships to make predictions about future points in the plot. Function, or Not? Adapted from CPM CCC1 Problem 5-89. Edited with love by Matt Vaudrey and Desmos Teaching Faculty. Key vocabulary that may appear in student questions includes: rate of change, increasing, decreasing, constant, velocity, and intercept. Inspired by the "Two Truths and a Lie" math strategy, this quick check provides students with opportunities to analyze graphs. This is to be a follow-up to the Awesome Coordinate Plane activity (see above). The activity focuses on simple and compound inequalities. Students will generate a need to use less informal language and more formal language when describing linear relations. I'm teaching myself DESMOS as I create these presentations. They consider a suggested (and rather inaccurate) conversation formula in multiple representations, and then build a more accurate model. Students analyze time vs distance relationships in graphs, tables, and equations, and interpret the results (and parameters) in context. Previewing activities allows you to work through the activity as a student would. If the list is large-ish, it might be the better option. 30-45 minutes. Students are given step-by-step directions so they are self-led and can proceed at their own pace.Use as a homework assignment, review day, part of a quiz or test. Scatter Plots Students will explore various types of scatter plots and will build their understanding of positive and negative associations, linear and nonlinear associations, and outliers. . For older students, this offers a chance to think critically about the properties of angles, lines, and reflections. Has this been updated? In this brief card sort activity, students sort equations according to the property they illustrate (commutative, associative, identity, and distributive). Choose your own adventure from over 15 Visual Patterns! Translationsby Andrew Stadel. Dot-to-Dot Puzzles This activity is an interaction version of puzzles that can be found in an article written by Alex Bellos. Locating fractions on a number line.Some sets include 1/10 scale as transition to fraction and decimal equivalents. Leading up to this point in the bundle, students have worked with transformations of functions. 30-45 minutes. Designed to spark vocabulary-rich conversations about fractions and part-to-whole relationships. The goal is to sharpen students focus on slope. (added 12/19/17). Your students will LOVE the opportunity to digitally create a piece of art while showing their mastery of writing piecewise functions. 30-45 minutes. More Pixel Patterns In this follow-up activity, students investigate two new patterns in order to make predictions about the number of blue and purple squares in a grid of pixels. Students will reason abstractly and structurally, arguing that their expressions are the greatest or least possible. 30-45 minutes. Inspired by a New York Times article May 15, 2016 (Includes an exponential model, but okay for gr 8.). For more information on the calculator allowed in your state, please visit https://www.desmos.com/testing The topics covered includ, Piecewise functions and art combine for the ultimate STEAM activity. Systems of Linear Equations: DiscoveriesThis activity will guide students to think about what it means to be a solution to an equation and to a system of equations. Later we ask students to make conjectures about different groupings why might another student have grouped the cards in a particular way? Students respond to a variety of graph-sketching prompts to demonstrate (and deepen) their understanding graphs of linear functions. (added 9/10/16), #WODB Equations Warm-Up by mathycathy. (added 12/19/17), O Pattern This activity consists of a patterning problem to help students understand linear relationships. Have your students construct lines that go through the points while thinking about their strategy as they do! I want to test them out, using an old faithful Socrative SOC-18310521 quick-check I made previously. This is to be a follow-up to the Awesome Coordinate Plane activity (see above). In this proportional reasoning activity, students explore the relationship between circle area, sector area, and sector angle. It's a new day with new Desmos features. With that in mind, we've assembled a collection of unique and engaging digital activities at teacher.desmos.com. Using Desmos "Sketch", students generate patterns to explore zero as an exponent and negative exponents. Linear Pattern Match In this activity students are able to interact and explore different representations of a linear growing pattern. (added 9/21/17). This activity will provide opportunities for students to deepen their previous understanding with linear equations. In this activity, students explore the relation between median age at first marriage and time (number of years since 1960) for men and women. This activity introduces students to probability through a spinner game. Commuting Times This activity illustrates the relationship between a dataset (which is usually not a function) and a model of the data (whichin algebrais a function). Edited with love by Desmos Teaching Faculty. Polygraph: Triangles Designed to spark vocabulary-rich conversations about triangles. Application. by Desmos. (added 12/3/16), Exploring Lengths of Line Segmentsby Danielle Braun. They consider a suggested (and rather inaccurate) conversation formula in multiple representations, and then build a more accurate model. Exponent Mistakes A riff off an Andrew Stadel "Exponent Mistakes" classic. Grades 6-8 are available now. This activity is appropriate for students who have studied linear functions but may not have an experience with exponential growth.