A series of graphing challenges designed to build student understanding of linear functions. Beware of false "Bogus" properties! Learn more about: perfect squares and square roots, rational and irrational numbers, approximately place rational and irrational terms on a number line. Students analyze time vs distance relationships in graphs, tables, and equations, and interpret the results (and parameters) in context. (added 10/29/17), Transformation Golf: Rigid Motionby Desmos. This activity asks students to notice and use properties of linear functions to make groups of three. Segmented Functionsby Katina Vlastos. Application. However, to edit self-checking assessments, you will need to use Desmos Computation Layer (CL), which is the coding that goes on behind the screens! Designed to spark vocabulary-rich conversations about distance-time graphs. They'll use data and linear models to make predictions. Polygraph LinesStudents will be able to Identify important features of lines Precisely describe these features to their peers Increase their vocabulary relevant to lines. Contents. Use student ideas here to define slope as a ratio of change in y-coordinates to change in x-coordinates. It would be incredible if there was a way, for example, for the teacher to choose an item to export. As students work, they use Listsin the graphing calculator to look for and make use of structure. Retrieved from https://teacher.desmos.com/carnival, Desmos. In this activity, students predict the point of intersection for a system of two linear equations, at first without a grid, and then later with one. In this activity, students sort cards to strengthen their understanding of multiple representations, including: algebraic expression, verbal description, table of values, and algebra-tile model. Students create "Winking Boy" (a simplified Desman) by using linear equations with domain and range restrictions. They begin informally (and rather inefficiently). Quizzes with auto-grading, and real-time student data. Inspired by OpenMiddle.com, this brief warm-up experience is designed to help students apply the correct order of operations to numerical expressions that contain exponents. This is a great introductory activity into inverse functions as it gives students a visual understanding of what a function and its inverse can look like. Working with Dilations This is a beginners activity for introduction to dilations (8.G.A.3 & 8.G.A.4). Match graphs with their equations and evaluate. (added 7/1/18), Talkers & Drawers - Linear Relationsby Jonorr. Use this as an introduction to irrational numbers, or as a prelude to the Pythagorean theorem. Key vocabulary that may appear in student questions includes: domain, range, hole, and points. Students will also interpret the features of the graph in context. Students will watch 15-second videos and translate them into graphs with your help. VoiceOver is Apple's built-in screen reader on the iPhone and iPad. by mathycathy. Using Desmos Card Sort, students must take a stand on which equation they believe doesn't belong, and justify this choice. They consider a suggested (and rather inaccurate) conversation formula in multiple representations, and then build a more accurate model. 45-60 minutes. Along the way students explain their thinking and look for multiple shadings for a given fraction. One is the picker and the other the questioner. After the picker chooses one graph or picture, the questioner asks yes or no questions and uses the answers to narrow down the correct graph or picture. Embedded within this presentation you will find a link to a YouTube video that explains how to complete the square for equations of circles to convert the equation into standard form and determine the center and radius. by Desmos. Card sort. I want to organize my activity, and it would be easier if I can see whole activity, and move the screens (papers) into the order that I want. If you prefer to facilitate the introduction/exploration of elimination in a whole class discussion, ask students to stop after Screen 7 (or, duplicate the activity and delete Screens 8-15). *Inspired by patterns athttp://www.visualpatterns.org/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: http://bit.ly/VPhandout (added 10/9/16). (added 9/17/16), by mathycathy. Students will observe a red point transform into a blue point by way of a mystery transformation. (added 4/10/18), Open Middle Warm-Up: Exponents & Order of Operationsby mathycathy. * "Squares to Stairs" task on YouCubed.org: * "Match My Pattern" by Jon Orr: Visual Patterns Workshop by Andrew Stadel. One plan increases by $100 each day, while another grows by doubling the previous day's payment. Card Sort: Real Number Statements (Always, Sometimes, Never) by mathycathy. (added 12/3/16), All About Areaby Cindy Whitehead. The activity begins with a review of the graphical meaning of a solution to a system. See this project in action here: 10 Awesome Student Desmos Art Projects (Boomerangs)This project is an excellent way to get to know your students--even from afar!--while they engage in learning and practicing writing linear equations (vertical, horizontal, and slanted lines). This activity is designed to strengthen students' linear graphing skills through a series of "match my picture" challenges. These activities activities were found at Teacher.Desmos.com, at Des-Blogs Friday Five, and sometimes @Desmos on Twitter. by mathycathy. Polygraph: Basic Quadrilaterals Students will be able to Identify important features of quadrilaterals Precisely describe these features to their peers Increase their relevant vocabulary, Polygraph: Advanced Quadrilaterals Students will be able to Identify important features of quadrilaterals Precisely describe these features to their peers Increase their relevant vocabulary, Polygraph: HexagonsAsk questions to guess which shape your classmate picked. Then ask them to play several more games, putting that precise language to work. ), Grade 8 (but could work at other grades, too! Polygraph: Lines, Part 2This activity follows up on Polygraph: Lines, using the discussions (and students' informal language) in that activity to develop academic vocabulary related to the graphs of linear functions. Students will be able to Identify important features of quadrilaterals Precisely describe these features to their peers Increase their relevant vocabulary, Ask questions to guess which shape your classmate picked. Three of the relationships are expressed algebraically, while two are expressed verbally in the context of a classroom: (person, grade level) and (person, shirt color). Edited with love by Desmos. Another screen may ask students to match cards that belong together in a mathematical manner. (10/9/16). (added 11/4/16). Designed to spark vocabulary-rich conversations about scatter plots. (added 10/25), Quadrilateral Sort: ALWAYS, SOMETIMES, NEVERby mathycathy. (added 9/17/16), Sums to Sixtyby Cindy Whitehead (added 12/3/16), Chance Experimentsby Desmos. In this activity, students determine whether a series of relationships represent functions. Both are able to use within Google Classroom or another LMS. tudents demonstrate (and deepen) their understanding of fractions by shading part of a square, and later, part of an equilateral triangle. Slope-Intercept practice [math 8] by Andrew Stadel (added 10/27/17), Linear Slalomby Desmos. The column on the left is limiting. Desmos classroom activities are amazing ways for educators to help their students connect mathematical ideas and concepts into reality, and allow them to manipulate data and visualize the concepts that they are learning. My students always have the hardest time remembering the rules of horizontal and vertical lines. Match each geometric term with the correct definition. (added 10/9/16), by mathycathy. (added 10/9/16), by Desmos 15-30 minutes. (Note: Several of these problems are from Engage NY Algebra, Module 1, Lessons 1-3.). 30-45 minutes. by Joel Bezaire. Learning objective: find the distance between two points on a coordinate plane. Fraction coefficients are weird, this might make them less so. (added 9/10/16), Evaluate Expressions With Exponentsby Mr. Adam Santos. Inspired by: by Andrew Stadel. String Art 2.0 Students will be able to use slope intercept form and limit on the domain to create string art designs. Desmos makes it easy to add the activity to your account and you can create a class code that students enter to start the activity. (added 2/9/17). (added 10/25/17), Polygraph: Clocksby Desmos. I was surprised at how engaged juniors and seniors were when asked to make a Christmas art project! :) I teach 6th grade in SC so, Looking for a fun, FREE digital activity to help your algebra students rewrite linear equations from standard form to slope-intercept form? Students will learn how to add integers using the number line. In this brief activity, students are given four equations with variables on both sides of the equals sign. (added 2/9/17), by mathycathy. (added 10/11/17). 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 9/10/16), Explore the relationship between the area and side length of squares as a segue to rational and irrational numbers. Shorten my Desmos Activity Builders, so that I have time in class to practice with the students outside of Desmos. Practice. (added 3/30/19) See also: by Andrew Stadel. Practice. How to get kids exactly one ton of practice writing equations for line segments, while engaging in purposeful image making. Practice with slope-intercept form. (added 12/19/17). Desmos is a free online graphing calculator created by Dan Myer and Eli Luberoff. Coordinate Plane - Card sort, plotting points, similarities & differences between different sets of points. 60+ minutes. It can be activated or deactivated in three ways: Tapping the VoiceOver toggle switch located in Settings Accessibility VoiceOver. Students can of course add their own holiday fun on the last slide.The activity is ready to go, just choose "Copy & Edit" after clicking the given link, and then "Assign" to, Looking for a no-prep autumn graphing activity for your students? Students analyze several gym membership plans in order to make "best plan" recommendations for a friend. 30-45 minutes. Each row will show the activity information, date assigned, and a link to view the student's work if . (added 11/20/16), by Desmos. In this activity, students use linear modeling to predict how long it will take for a smartphone to reach full charge. (Does not require writing equation for the line.). 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. 30-45 minutes. It includes corresponding angles, but does not require that student know alternate interior, etc. Then they apply that knowledge to make a graph of one letter of the alphabet. To explore classroom activities, follow this link: https://teacher.desmos.com/ Please start by creating your own free account. I just can't get enough of them. Students will enjoy this artistic activity/project that uses Desmos.com to create a visual masterpiece. Students take their existing geometric understanding of parallel lines and build an algebraic understanding of parallel lines on top of that. The final screens provide an opportunity for students to experience the power of algebraic expressions. Math 8 Curriculum | For BC Re-designed Curriculum | Differentiated and Engaging! Students practice performing translations and reflections of triangles. 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. After they checked out Guess the Correlation(these are interactive activities that would be good at other times, too). Desmos is a graphing application that can be used on the computer or iPad. Card Sort: Linear or Nonlinear Students begin this activity by sorting equations and tables of values into two categories - linear and nonlinear. 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). And since some teachers have a few more weeks left of remote learning, I figured now would be the best time. (added 12/3/16). Edited with love by Eli. Students will also interpret the meaning of the graph and equation in context. In this proportional reasoning activity, students will explore unit rate in the Click Battle arena. This activity builders is different. Inspired by Investigating Rate of Change from an Equation by Mr Rothe (see below). Once students have learned about various classifications in the real number system, this task encourages deeper thinking about the relationships between those classifications. Prior to beginning this activity, students should have experience solving systems of linear equations graphically and algebraically. Application. I found a link to this activity in. (8.SP.1) This activity serves as a great precursor to an investigation of lines of best fit. Have students guess how many slices of a pizza make a whole. Linear Regression and Correlation Coefficients Students describe relationships between quantities, make predictions about the correlation coefficient (r), use sliders to approximate lines of best fit, and use these lines to make predictions. Here students watch a carnival ride, such as a Ferris Wheel, and attempt to create a graph that represent the blue chairs distance from the ground. 30-45 min. (added 9/2/17), by mathycathy. (added 4/18/17). 30-45 minutes. How to get kids exactly one ton of practice writing equations for line segments, while engaging in purposeful image making. Instead of students changing the orientation of the line, they must change the orientation of the Cartesian Plane or draw the $$x and $$y axes to fix the graphs and correctly show the equation of the straight line given. Well be sure to post something in the announcements category if we ever add that feature. by Desmos. Students begin by exploring rate of change in a graphical setting by plotting lines through various points. 45-60 minutes. Edited with love by Matt Vaudrey and Desmos Teaching Faculty. Students will be asked to make predictions, generalize what they've seen, and answer specific questions to confirm that they are able to a, Piecewise functions and art combine for the ultimate STEAM activity. Below you can find tabs that list out new features added to Desmos Math Tools and Classroom Activities, sorted by date. 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. As an extension, students use the graphs for two of these cities to make predictions about future populations. We are always working to make Desmos even better! I have provided the activity and the . Students will apply their understanding of the angles of an isosceles trapezoid to create a complete archway. This task requires students to have an precise understanding of the definitions of specific quadrilaterals and is also a great introduction to slope of parallel and perpendicular lines. This is an exploratory activity (students should need little-to-no help from the teacher). As students play, my hope is they will gain a deeper understanding of perimeter, area, and their independence. Basic operations are computed. Descriptions are borrowed directly from Teacher.Desmos.com and Des-Blog. In your summary conversation with your students, draw their attention to the relationship between slopes in parallel & perpendicular lines. by Mark Wigand. Point, Point, Slope by Christopher Kunkel. They gather more information to increase the accuracy of their predictions. This page was last edited on 9 December 2016, at 13:16. Retrieved from http://www.nctm.org/Standards-and-Positions/Position-Statements/Technology-in-Teaching-and-Learning-Mathematics/, S. Vanderwerf. Effective teachers optimize the potential of technology to develop students' understanding, stimulate their interest, and increase their proficiency in mathematics. (added 11/20/16), Constructing Rectangles This activity helps students discover that perpendicular lines need opposite AND reciprocal slopes. Math 7 students will use tables of connected points in this Desmos FIRST NAME Art Project. For younger students, this may serve as an excellent introduction to thinking about angle measure. You can use teacher pacing to unlock a new challenge each week. Students sort numbers written in standard form and scientific notation to make sure they understand the difference between "really large numbers" and "really small numbers" before they begin learning how to convert between the two forms. Students (Pre-Algebra or beginning Algebra 1) look at tables of linear solutions to predict other solutions that are part of the linear relationship. It is not expected that students will complete all of the challenges. Scientific Notationby Lars King. Using Desmos "Sketch" and projecting the "Overlay" of student work could create powerful classroom experiences for dialogue and error-analysis! (added 3/26/19). Screens may ask a student to graph or answer a question based on a graph. Make worksheets to accompany my Desmos Activity Builders, so the students can have notes to look back on. Students will observe a red point transform into a blue point by way of a mystery transformation. These challenges can be used with any level from Algebra 1 through and beyond Calculus. Students will also interpret the parameters of their equation in context. It could be a multiple choice selection, or math input latex, or a graph.number ('a'). Learn more about: perfect squares and square roots, rational and irrational numbers, approximately place rational and irrational terms on a number line. A very simple sorting activity where students are given expressions and the sentence to describe them and have to match them up. Prior to beginning this activity, students should have experience solving systems of linear equations graphically and algebraically. (added 4/18/17). Students will have to create their own sentences following the sort. Let's explore similar rectangles, their perimeters, and their areas! Students will practice identifying the value of a, sign of a, h, and k.Pages 2-3: Students will use Desmos to discover how the value of a, sign of a, h, and k impact function transformations.Pages 4-6: Students will practice identifying the parent function name, value of a, sign of a, h, and k and determine the transformation of 9 different functions. Practice with domain and range, edited for Algebra 1 students. Students will first write about that transformation verbally, developing their intuition about the transformation, before then writing it algebraically. A card sort with follow-up questions for students beginning their studies of bivariate data. The key understanding is that parallel lines have the same slope and their y-intercepts may differ. Application. Can we print slides in activities yet? Based on this Desmos activity: The Great Collide. Students will generate a need to use less informal language and more formal language when describing linear relations. Point Collectorby Desmos Teaching Faculty. 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. Card Sort: Integer Chipsby Michael Fenton (added 9/18/16), Adding Integers by Glen Lewis. My Activity Builder Includes: Project Instructions Screen A link to Learn Desmos so they can use more advanced equations Example screens that taught them how to restrict and color their graphs (and more) for them to examine and play with. Using Desmos Card Sort, students must take a stand on which equation they believe doesn't belong, and justify this choice. After the card sort, students discuss whether a given student has sorted two pairs of cards correctly, and in the process consider equivalence and commutativity. Desmos Activity Builder. Key vocabulary that may appear in student questions includes: numerator, denominator, positive, negative, proper, improper, simplified, equivalent, terminating, repeating, closer to 1, and closer to 0. Edited with love by Nathan Kraft. Teachers will see which time formats are easier and harder for students. Note: Students may get stuck on Screen 7. Likewise, a solution to a system of linear equations can be interpreted in two ways: (a) graphically, as a point that lies on each line in the system, and (b) algebraically, as an ordered pair that satisfies each equation in the system. (added 10/9/16). Which One Doesn't Belong? This activity is from Don Stewards post Complete the Quadrilateral, with images created by Fawn Nguyen. Based on this Desmos activity: Students use informal math reasoning skills to answer the question of which has more calories: a single chocolate Oreo wafer, or a single layer of crme. Finally, students practice solving equations using substitution and elimination. For each set, identify what the s lines have in common. Students use a table, graph, and equation to calculate how much a musical artist earned on Spotify in 2015. Then let students play again and experience the power of that formal language. Use this lesson to introduce students to the elimination method for solving systems of equations. This activity is designed to strengthen students' linear graphing skills through a series of "match my picture" challenges. It is not expected that students will complete all of the challenges. Inspired by: *:The work of Fawn Nguyen* This example, presented by Jo Boaler. (added 12/3/16). Now you can swap out those informal words for more formal ones. But its a graph that we have seen multiple requests for over time. 5.0. Students sort cards into four categories: whole numbers, integers, rational numbers, irrational numbers. Learn more in this post: Comparing Fractions w/ Desmos (added 9/10/16), Six Sliding Shapes: Parts Placementsby Cindy Whitehead. You can follow up this activity with Function Carnival, Part Deux.