[editors note: Seems redundant to activities in Systems Bundle], Solving Linear Systems by EliminationUse this lesson to introduce students to the elimination method for solving systems of equations. Students use numbers from the calendar to write expressions with a given value. (also listed below with grade 8 linear), X Pattern In this task, students analyze the structure of a visual pattern. The mathematics I encounter in classrooms, Algebraic Expressions Distributive Property. 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. Additionally, students have the opportunity to create their own #WODB task to share. Inspired by: *:The work of Fawn Nguyen* This example, presented by Jo Boaler. (added 10/9/16). Choose your own adventure from 8 Visual Patterns! Meant to be a relatively quick activity. Students will see what other students choose, and consider different opinions and justifications. You might also find it helpful to read this brief introduction to Desmos for teachers. If you are returning to this document and want to find whats new, search for the word added using or to bring up activities entered since this resource was first created. Key vocabulary that may appear in student questions includes: domain, range, hole, and points. (Grade 7/8?). As Desmos states "A Desmos Class Activity is essentially a sequence of screens, each with a different task, prompt, or question." In this activity, students use observations about scatterplot relationships to make predictions about future points in the plot. In this activity students will compare slopes of lines with a y-intercept of zero. [Web log comment] Retrieved from: https://ww2.kqed.org/mindshift/2016/04/06/could-this-digital-math-tool-change-instruction-for-the-better/, NCTM (2011) Technology in Teaching and Learning Mathematics. 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. Make It Balance (Mean) CCSS: 6.SP.B.5.C, Objective: Students will place bears on a beam to develop a sense of the mean as a balance point. They begin informally (and rather inefficiently). This activity builders is different. (added 12/3/16), Exploring Lengths of Line Segmentsby Danielle Braun. Then they'll put the algebraic expression to the test, and see if it helps them find the tiles for lots of pools very quickly. In your summary conversation with your students, draw their attention to the relationship between slopes in parallel & perpendicular lines. Coordinate Plane - Card sort, plotting points, similarities & differences between different sets of points. How to get kids exactly one ton of practice writing equations for line segments, while engaging in purposeful image making. Practice with domain and range, edited for Algebra 1 students. Note: There is a bonus question at the end. Edited with love by Desmos Teaching Faculty. Math is power, not punishment. Edited with love by Adrianne Burns. WODB: @mavenofmath. Dig Dug Desmos: Slope of Horizontal & Vertical Lines, Excite Bike Equations: Exploring Slope and Y-Intercept, Super Bowl Plotting Points & Linear Challenge. They begin informally (and rather inefficiently). Inspired by a New York Times article May 15, 2016 (Includes an exponential model, but okay for gr 8.). 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). As students extend that linear model, the teacher can facilitate a discussion about the difference between what math predicts and what the world reveals. (added 9/10/16). 30-45 minutes. Graphing Calculator Loading. Avoid the zombies by traveling vertically and horizontally on a coordinate plane. Objective: Students will use ratios to determine the number of balloons needed to float different objects. (added 11/20/16), This activity helps students discover that perpendicular lines need opposite AND reciprocal slopes. Practice. Inspired by the "Two Truths and a Lie" math strategy, this quick check provides students with opportunities to analyze graphs. Math or Text: Insert math notation (equations, expressions, etc.) Then, students encounter two hangers and see that values that balance both hangers are also solutions to both equations and fall on both lines. Cricket Chirps Students explore the relationship between the number of cricket chirps and the temperature. Desmos Activity Builder provides teachers with a number of options for activities. For older students, this offers a chance to think critically about the properties of angles, lines, and reflections. We wrote an activity building code for two reasons: People have asked us what Desmos pedagogy looks like. Takes a more in-depth look at pyramids and cones. Edited with love by Desmos Teaching Faculty. Square Builder In this activity, students build squares with integer area in order to reason about their side lengths. Learning objective: find the distance between two points on a coordinate plane. Then they apply that knowledge to make a graph of one letter of the alphabet. 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. List of desmos activities. The emphasis is on a graphical understanding of linear equations, and visual/numerical rate of change in particular. Finally, students practice solving equations using substitution and elimination. (added 9/10/16), Explore the relationship between the area and side length of squares as a segue to rational and irrational numbers. Students will evaluate numerical and variable expressions containing exponents with positive or negative bases. This Card Sort provides numerical expressions, word phrases, and red images that will help students make connections between concrete visuals and abstract notation. Students make predictions about where a pair of moving dots will meet. Key vocabulary that may appear in student questions includes: scalene, obtuse, acute, right, isosceles, and equilateral. Along the way, they'll consider the "story" told by the graph, regression equation, and (in a bonus challenge at the end) its residuals. At the end, students create their own sketches for a fraction of their choosing. In this activity, students explore linear inequalities (and systems of linear inequalities), with an emphasis on the graphical and algebraic meaning of solutions. Students will learn how to add integers using the number line. Descriptions are borrowed directly from Teacher.Desmos.com and Des-Blog. Battle Boats by Desmos. Students investigate patterns in order make predictions about the number of blue and purple squares in a grid of pixels. An activity description is optional. Retrieved from https://teacher.desmos.com/marbleslides-parabolas, K. Schwartz. There is also an extension where students try to reflect a pre-image across the line y = x. Translations and Reflectionsby Paul Jorgens. This can be done at the start of the activity, or during the previous day. Students will learn how to use restrictions on equations of horizontal and vertical lines in order to draw a face on Desmos. If an instructor notices a misconception performed by numerous pupils, the activity may be paused. Additionally, students have the opportunity to create their own #WODB task to share. This activity is designed for an Algebra 1 class working on systems of linear inequalities. Once students have learned about various classifications in the real number system, this task encourages deeper thinking about the relationships between those classifications. Mean, Median, and Variability Students adjust movable points to explore mean, median, and variability. In this brief activity, students are given four equations with variables on both sides of the equals sign. Teachers can use overlay feature to discuss placement as a whole class. (added 9/10/16). This activity tries to build on student intuition to develop an understanding of the volume of rectangular prisms. Key vocabulary that may appear in student questions includes: scalene, obtuse, acute, right, isosceles, and equilateral. Edited with love by Desmos. There are so many unique state standards, so please check to make sure the activities align as needed. (added 9/10/16). manipulate m or b to make the line pass through the gap safely, move the functions so that they pass through the gaps correctly, Go through a series of questions relating to integer operations. My hope is that the lessons and activities here evolve and become better through feedback and collaboration. Some of them were created before screen gates (and I've been too lazy to edit them) so they are in two pieces. Card Matching: Matching cards where there is a single correct answer. But later, they'll develop and apply an algebraic approach, demonstrating the power and efficiency of mathematics along the way. Desmos Activities for Middle School - Maneuvering the Middle Use the number of games played and the amount of money spent to figure out the cover charge. Number Line, Number Sense This activity is designed to probe students' sense of numbers and their magnitudes. Students explore the relationship between price and number of pieces for to different LEGO series ("Marvel Superheroes" and "Creator"). Type "polygon" in an expression line or use the polygon command in the functions menu of the Desmos keyboard. Use this lesson to introduce students to the elimination method for solving systems of equations. Basic number properties card sort. Begins with a review of prisms and right triangle trigonometry. 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. Students will also interpret the parameters of their equation in context. Students will also interpret the parameters of their equation in context. Sketchy LinesStudents respond to a variety of graph-sketching prompts to demonstrate (and deepen) their understanding graphs of linear functions. Desmos Classroom Activities 400 Meter Modeling Students will make predictions about the world record times for the women's 400 meter dash. Visithttps://goo.gl/qlKLXeto learn more about the game. Objective: Students will develop the definition of a proportional relationship by creating a giant and making all of his features are proportional. 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. (added 10/22/16) For more info, see this post from Dan Meyer, The Running Game Students use proportional reasoning to predict how long it will take someone to run seven miles. Beware of false "Bogus" properties! Students sort cards into four categories: whole numbers, integers, rational numbers, irrational numbers. Desmos Classroom refers to each of the following as a Card Sort activity because students are arranging cards on the page, but there are instructional strategy differences to consider. and ensure that the options you want are selected. I want to test them out, using an old faithful Socrative SOC-18310521 quick-check I made previously. may not appear in regular Desmos search engine First up though is this fantastic intro to showcase what Activity Builder can do in desmos. Polygon Challenges This activity is designed for an Algebra 1 class working on systems of linear inequalities. 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. Students make predictions about where lines will intersect. Basic operations are computed. Meant to be a relatively quick activity. (added 9/18/16), Polygraph: Shady Lines [inequalities] by Andrew Stadel. (added 4/25/17), by mathycathy. Understanding Graphs: True/False Activity This collection of true/false questions is designed to explore (and, through the class discussion that follows, expand) student understanding of graphs. In this brief card sort activity, students sort equations according to the property they illustrate (commutative, associative, identity, and distributive). Students will be able to: Restrict, reposition, and rotate lines at will using slope-intercept form Use precision in describing these transformations using words and/or symbols. Step 2: Assign the Activity. What Desmos activities would you recommend for middle school students? Key vocabulary that may appear in student questions includes: concave, convex, equilateral, equiangular, regular, parallel, quadrilateral, pentagon, and hexagon. After reading the article and viewing the various options for activities, discuss the following questions with a partner: 1) How would utilizing Desmos Graphing Calculator and Desmos Activity Builder change how you teach mathematics? If you have ever wondered, How do I build adjustable rows and columns? Measuring Circles Students measure circles, plot (diameter, circumference), and discuss how they know this is a proportional relationship. Desmos.com has been around since 2011. Most of the challenges are well-suited to slope-intercept form, but depending on the goals of an individual class or student they are easily adapted to other forms of linear equations. (added 10/9/16). Students to think about the effect of a coefficient on the steepness of a line in the coordinate plane, and vice versa. This one is good for statistics or early algebra; it requires no equation expertise. In that case, you may find the following. Students practice graphing coordinates in a game of a mini golf. Function Carnival - Students watch a video and graph what they see to uncover (mis)conceptions about graphs. Introduction. What does this even mean? They make predictions, write equations, and reflect on the behaviorand contextual meaningof graphs and parameters. (added 10/9/16), Distributive Property by Andrew Stadel. 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. After making an initial prediction, students use a graph to make a more accurate prediction. (added 9/25/16). 2. Edited with love by Desmos. Desmos Activities | Under the Dome Practice. Become familiar with card sorts by Desmos, grades 4-12. Whoever uses the most cards wins! In this brief activity, students count the number of peaches in a photograph. (this updated version added 11/4/16), by Desmos. by Dan Meyer. Students explore reflections over the x-axis and y-axis, with an emphasis on how the coordinates of the pre-image and image are related. Students practice asking questions using vocabulary such as: acute angle, obtuse angle, right angle, complementary angles, supplementary angles, corresponding angles, vertical angles, alternate interior angles, alternate exterior angles, congruent angles, transversal, parallel lines, perpendicular lines. ), by Desmos. Meant to be a relatively quick activity. It uses the context of quadrilaterals in the coordinate plane. Lists - Desmos Help Center In this activity, students write and solve a system of two linear equations to explore the numerical and graphical meaning of "solution." This activity is NOT really "All About Area!". Note: Cards do not allow for both text and images. Choose your own adventure from over 15 Visual Patterns! Unit 2: Incorporating Desmos and Desmos Activities into Mathematics Lessons, Bensley, J. We spend a lot of our work time debating the merits and demerits of Edited with love by Desmos. It includes corresponding angles, but does not require that student know alternate interior, etc. Decimals: Retro Desmos @MrJohnRowe. Providing feedback to students requires the use of a computation layer (CL). How much is the cover charge? 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. 30-45 minutes. Winking Boy by Andrew Stadel. This activity is intended to be used to help students understand addition of positive and negative numbers on a vertical number line (CCSS.MATH.CONTENT.7.NS.A.1) (added 10/9/16), Polygraph: Angles and TrianglesCreated by: Lisa Soltani. Celebrity Age Guessing (Bloch). Put the Point on the Line The goal is to sharpen students focus on slope. A very simple sorting activity where students are given expressions and the sentence to describe them and have to match them up. Students will explore various types of scatter plots and will build their understanding of positive and negative associations, linear and nonlinear associations, and outliers. Students take their existing geometric understanding of parallel lines and build an algebraic understanding of parallel lines on top of that. by Desmos. by Desmos. As students play, my hope is they will gain a deeper understanding of perimeter, area, and their independence. by Andrew Stadel. Then they'll use those numerical expressions to help them write an expression with VARIABLES. I found a link to this activity in. Solutions to Systems of Linear Equationsby Desmos. In this activity, students use (or develop) their understanding of rate of change to determine whether a set of four points in the coordinate plane will form a parallelogram. Objective: Students will use Desmos-powered geoboards to explore triangles and their areas. You can follow up this activity with Function Carnival, Part Deux. Individuals, pairs, or small groups sort the statements in the appropriate categories of ALWAYS being true, SOMETIMES being true, or NEVER being true. 30-45 min. You might find other activities at the activities the, If you are returning to this document and. (added 11/20/16). Conic Sections: Parabola and Focus. Dilationsby Andrew Stadel. In this activity, students will use algebraic thinking to precisely (and efficiently) hang picture frames on the wall. 6.NS.B.4, SMP1, SMP3, SMP6, SMP7 (added 12/3/16). In the early rounds of the game, students may notice graph features like strong and weak associations, even though they may not use those words to describe them. (added 10/9/16). (added 10/9/16). (added 8/28/16), Polygraph: Direct Variation (without points) Students asks questions to identify graphs of proportional relationships (direct variation, y=kx). (added 10/9/16), Pondering PercentThis activity builds on students current knowledge of percent before it creates a driving need to use an algebraic solution to determine percent of a number. Students will watch 15-second videos and translate them into graphs with your help. (added 10/25), Quadrilateral Sort: ALWAYS, SOMETIMES, NEVERby mathycathy. Understanding and Estimating Square Roots, Protected: My Thoughts: Integer Multiplication, Becoming the Math Teacher You Wish You'd Had, Continuous Everywhere but Differentiable Nowhere. (Includes a nonlinear model. This visual introduction helps students self-check their algebraic steps along the way. Practice with domain and range, edited for Algebra 1 students. The most accurate version of this specific article can be found here. It is very similar to the game "Guess Who?" More advanced inequalities are welcome, but not required. To explore classroom activities, follow this link: https://teacher.desmos.com/ Please start by creating your own free account. Havent run it but looks good, would do this before doing Sugar Sugar. Introduction. : Matching cards where there is a single correct answer. 30-45 minutes. They'll apply that understanding to the question, "Will one racer catch another?" I just can't get enough of them. (added 11/20/16), Constructing Rectangles This activity helps students discover that perpendicular lines need opposite AND reciprocal slopes. Key vocabulary that may appear in student questions includes: right, left, above, below, quadrant, axis, positive, negative, coordinate, x-value (or abscissa), and y-value (or ordinate). Domain and Range From a Graph by mathycathy. Constructing Squares This activity will reinforce the basics of coordinate geometry and linear graphs with restrictions. Below are links to some lessons and activities Ive createdto add to the growing list of math teaching resourcesfrom Desmos. Beware of false "Bogus" properties! Descriptions are borrowed directly from Teacher.Desmos.com and Des-Blog. 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. Students examine a scatter plot showing winning times for the 4x100 m Olympic relay from 1928-1980. Domain and Range From a Graph, Linear Regression and Correlation Coefficients. Students will see what other students choose, and consider different opinions and justifications. Polygraph: Hexagons, Part 2 This activity follows up on Polygraph: Hexagons, using the discussions (and students' informal language) in that activity to develop academic vocabulary related to polygons. What Is It? Students explore the relationship between the number of cricket chirps and the temperature. by Katina Vlastos. They will plot points in all four quadrants by using a table and then using ordered pairs. Avoid the zombies by traveling vertically and horizontally on a coordinate plane. Match the equivalent expressions. (added 10/9/16), by Andrew Stadel. Follow List Embed List. Application. 15-30 minutes. This activity is designed to serve as a formative assessment on student understanding of slope (graphically, algebraically, and numerically). Image credit to kidsmathgamesonline.com. Relating Parallel & Perpendicular Lines Students describe the relationship between sets of multiple parallel and perpendicular lines. Visual Ratios. This Custom Polygraph is designed to spark vocabulary-rich conversations about three-dimensional objects. A variety of math levels, including elementary, would benefit from utilizing card sorts. A useful tool for assessing students ability to see these important attributes of triangles. Let's start a "math fight"! Type your name and it appears in a graph trace your name on the next screen and hide the letters to see your art! (added 9/17/16), Sums to Sixtyby Cindy Whitehead (added 12/3/16), Exploring Triangle Area with Geoboards In this activity, students use Desmos-powered geoboards to explore triangles and their areas. Based on this Desmos activity: The Great Collide. Polygons on the Coordinate Plane Students find areas of a rectangle, a triangle, and a parallelogram on a coordinate plane. Number Sentences - Expressionsby David Petro. Desmos is a free and highly engaging site for students and teachers to use. This is to be a follow-up to the Awesome Coordinate Plane activity (see above). They reflect on these choices, and apply their learning by creating their own equations and tables of values that fall into each category. Edited with love by Nathan Kraft. They consider the relationships between the coordinates of the vertices and the polygons' dimensions, and between the areas of the various figures. Heres a nice one for practice. A list of Desmos activities created over the last few years. Later we ask students to make conjectures about different groupings why might another student have grouped the cards in a particular way? Activity creators can build a series of screens that walk a student through interactive activities. by Michael Fenton. These activities are designed for middle school classrooms where students are studying univariate data or bivariate data represented in dot plots, histograms, scatter plots, and more. Visual Ratios. Card Sort: Linear Systems Students practice what they've learned about solving systems of linear equations. (added 10/9/16), by Desmos. They consider a suggested (and rather inaccurate) conversation formula in multiple representations, and then build a more accurate model. You will see a vocabulary sheet referred to in the Desmo's activities. Students build vocabulary around angle relationships and classification of triangles. Understand slope and rise/run. A quick pre- or post-assessment. Match the equivalent expressions. Designed to spark vocabulary-rich conversations about fractions and part-to-whole relationships. Students will learn how math can give them the power to quickly mow dozens of lawns without breaking a sweat. Note: I organized these by grade level, using CCSS. This is a graph, not an activity. Good times! (these are interactive activities that would be good at other times, too). Transform lines to send the marbles through the stars. You're gonna need it. (added 4/16/17), by Jeff Jelus. Wafers and Crme 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. The best method often depends on the structure of the equations involved.
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