Www nctm org classroom resources illuminations. The game involves aiming a laser pointer from a height of 150 units at a mirror (M) that is 10 units off the ground and 25 units from the wall. By working on this activity, students have opportunities to think about how fractions are related to a unit Member-Only Online Teaching Resources. And more! Join Now. This two-part e-example presents a virtual 11x11 pin grid and triangular grid where students can explore geometric shapes and measurements with the option of shading areas, hiding pegs, deleting segments, and moving vertices. Through engaging activities and discussions, students will develop a strengthened mathematical belonging by connecting with the rich heritage of Africa, fostering a sense of pride Design a pattern using geometric shapes. Draw figures using edges, faces, or cubes. By working on this activity, students have opportunities to think about how fractions are related to a unit All the students must bounce the ball on the same surface (e. This interactive is optimized for Exploration. Notice and Wonder Access the latest lesson plans by grade-band! Illuminations 3–5 | Modeling Multiplication with Streets and Avenues Problems of the Week PK–2 | A Summer Garden Free Resource of the Week. If the area is not equal to your number, it will disappear. If you select the wrong element, simply un-select it before choosing another element. What We Do. Use tiles to represent variables and constants, learn how to represent and solve algebra problem. This two-part e-example uses two runners with variable starting points and speeds in order to find the relationship between time and distance. All the green buttons will show: The number of handshakes between the specified number of people. Arrangement: The user can choose a straight line arrangement (tables are placed side-by-side) or a rectangular arrangement (tables are placed along the border of a rectangle). Geometric Solids. 1 Playing Fraction Tracks. Bouncing Balls Recording Sheet. Illuminations Notice and Wonder 1906 Association Drive Reston, VA 20191-1502 (800) 235-7566 or (703) 620-9840 FAX: (703) 476-2970 [email protected] State Data Map. Backward. In general, the closer | r | is to 1, the better the fit. If | r | = 1, the line is a perfect fit to the data; if | r | = 0, the line does not fit the data at all. This is a system in which information can be made unintelligible to all but the intended reader. Thinking about numbers using frames of 5 can be a helpful way to learn basic number facts. Members-Only Access. Free Classroom-Ready Activities. Browse our collection of more than 700 lesson plans, interactives, and brain teasers . The mean and median appear if there is at least one data point; the box-and-whisker plot will appear if there are five or more data points. You can either draw a curve around them or click them individually. This two-part e-example encourages students to use visualization, spatial reasoning, and geometric modeling to build their own patterns or recreate one from given square arrays. Distribute the Building A Box Activity Sheet to students, and read the problem aloud to them. 1. Buttons. Make the green and blue fractions equivalent to the red fraction. Player 1 receives 12 points for this choice. As you get better, try to move from the easiest mode to the 9-12. ) Illuminations Notice and Wonder 1906 Association Drive Reston, VA 20191-1502 (800) 235-7566 or (703) 620-9840 FAX: (703) 476-2970 [email protected] Instructions. Then hit Start. Special Offers on Insurance Plans. Investigate any of the data provided—or enter data of your own! Members-Only Access. Once you think you've collected the right number, click the chute to send them to a new ocean. Build up to algebraic thinking by exploring this balance tool using shapes of unknown weight. 1 Making Patterns (Java) Includes an interactive figure for creating, comparing, and viewing multiple repetitions of pattern units. NCTM membership includes access to more than 1,000 classroom resources developed by experts in the field. Table: The applet allows two types of tables, 1 × 1 tables which accommodate one chair per side, and 2 × 1 tables, which hold two chairs on the longer sides. If you were one of Miss Spelling's students, how much would your name cost? Full details can be found in the Discounts on NCTM Resources and Professional Development. How many of the games can you master? For all games, you can start either in the coin or coin tile view. The goal is to make the reflection of the beam (R) reach a height of exactly 1,000 Illuminations Notice and Wonder 1906 Association Drive Reston, VA 20191-1502 (800) 235-7566 or (703) 620-9840 FAX: (703) 476-2970 [email protected] Cryptography is science that uses mathematics to encrypt and decrypt data. Isometric Drawing Tool After a brief discussion, distribute the Every Breath You Take activity sheet and ask each student to estimate the number of breaths a person takes each hour. This will give you subtraction problems that start with five bubbles. ) This interactive is optimized for your desktop and tablet. Grade: 3rd to 5th. Okta challenges you to a duel! That crazy octopus wants to play you in a game where the first person to choose cards with a specified sum wins. Once the shape is divided as you want it, click on the sections to color them. Here are some of our most popular interactives, according to our users! Isometric Drawing Tool. Try to move all the discs using the smallest number Once an influenza pandemic begins, it is often unstoppable, because the virus spreads rapidly by coughing and sneezing. Analyze a card game and attempt to identify a winning strategy. Geometry. It uses 3:2 as the ratio of their orbital radii (the actual is about 1. Grade: High School. An interactive version of a game (based on the work of Akers, Tierney, Evans, and Murray 1998) that can be used in the grades 3–5 classroom to support students' learning about fractions. Pre-K – Grade 8. Learn how to count, collect, exchange, and make change for coins. And more! Mars Earth Orbit - Model. To plan the path the ladybug should take to hide under the leaf, click on the direction buttons. Information can be represented in many ways, and this applet allows the user to represent data about the states using colors. You can manipulate and color each shape to explore the number of faces, edges, and vertices, and you can also use this tool to investigate the following question: For any polyhedron, what Isometric Drawing Tool. In this two-part e-example, students choose from eight pre-made outlines and use either seven or fourteen pieces to create images and build basic geometric understandings. Pan Balance – Numbers. Geometric Solids Pre-K – Grade 12 Manipulate various geometric solids and investigate their properties. We are given a tower of eight disks (initially three in the applet below), initially stacked in increasing size on one of three pegs. First, drag the slider on the second graph (Total Cost). 524:1), and it uses a ratio of 2:1 as the ratio of the time it takes them to complete one revolution about the sun (the actual is about 1. Plot circumference and diameter to determine pi. 45 per minute usage fee. Practice counting and adding by 10's. Log in above or click Join Now to enjoy these exclusive benefits: Award-Winning Journals. Adjust numerators and denominators to see how they alter the representations and models. Instructional Plan. Note what happens both on the graphs Illuminations Notice and Wonder 1906 Association Drive Reston, VA 20191-1502 (800) 235-7566 or (703) 620-9840 FAX: (703) 476-2970 [email protected] Illuminations Notice and Wonder 1906 Association Drive Reston, VA 20191-1502 (800) 235-7566 or (703) 620-9840 FAX: (703) 476-2970 [email protected] This e-example allows students to observe the properties of triangles and quadrilaterals by manipulating the sides, angles, and type. Member-Only Grant and Scholarship Opportunities. Five Frame. For a two person version of this applet see the Fraction Track E‑Example. You can "weigh" the expressions you want to compare by entering them on either side of the balance. Member-Only Online Teaching Resources. Instructions. Design a pattern using geometric shapes. Illuminations works to serve you by increasing access to quality standards-based resources for teaching and learning mathematics, including interactive tools for students and instructional support for teachers. When a complete outfit is made, that outfit will show up below Bobbie. At the Set Up screen, select the number 5 and choose – (subtraction). To select a transformation, click on the icons on the left. , tile, carpet, concrete) because differences in the surface could affect the number of bounces. Challenge yourself to find the weight of each shape in one of six built-in sets or a random set. . This tool allows you to investigate the new Light It Up game at the Springfield Fair. 881:1). Illuminations are our one of our most popular PreK-12 resource being used in the classroom each year. Isometric Drawing Tool. The options include the ability to: color, rotate, show hints, time progress, and create your own outlines. Use the puzzle mode to manipulate speed in order to follow the pace of a fellow runner. When you slide C back and forth along the blue line, how do the base (AB), height (DE), and area change? Instructions. Right Rotation. You will be given a problem that looks like this: 5 – __ = __. This interactive pan balance allows numeric or algebraic expressions to be entered and compared. Pre-K – Grade 2. Ask a friend to pick a number from 1 through 1,000. Distribute the Bouncing Tennis Balls Recording Sheet to the students. This model uses circular orbits to approximate the paths of Mars and Earth. When shown, the path of the third vertex for these triangles will be displayed, and the third 6-8, 9-12. Pre-K - 2. Steps - By clicking on these buttons, you will reveal the next step in the construction. Adjustable Spinner. The most elementary idea in cryptology is the idea of a cryptosystem. Glue – Click one shape, and then click an overlapping shape. Okta's Rescue Pre-K – Grade 2 How to Use the Interactive Figure. There are four moves: Forward. Draw, color, paste, slice, rotate, reflect, expand, and contract various shapes. Pan Balance – Shapes. The objective of Turtle Pond is to get the turtle to the Pond. 4. This applet allows players to challenge the computer in the games of Static Nim, Identity Nim, and Doubling and Tripling Nim. Grades 3 – 5. Once a movement is selected, you will be prompted to enter how many units to move, or how many degrees of rotation to turn. Have each pair share its response with another pair. Vary the gear ratio of a bike in various scenarios in order to capture five flags on a given course! How to Use. The view can be changed using the buttons in the lower right How to Use. Start by clicking on the cube along the left side; then, place cubes on the grid where you would like them. Grade: 3rd to 5th, 6th to 8th. The coin tiles help you count as you learn the value of each coin. 4 Developing Geometry Understandings with Tangrams. KenKen® is a puzzle game that helps students improve their calculation skills, logical thinking and persistence. Grade: 6th to 8th. Both of these displays can be turned off by unchecking the respective boxes. The state with the highest data value is darkest; other states are shaded proportionally. As they master counting, they can move on to adding and subtracting two-digit numbers. The four games that can be played with this applet help to develop counting and addition skills. The product of the two marked numbers is determined, and that product is Toolbar. Using this interactive tool, you can practice arithmetic and algebraic How to Use. The first component of a cryptosystem is the original set of information, called the plaintext. To observe the behavior under the selected transformation, drag or change the red shape. The goal is to fill a grid with numbers so that no number appears more than once in any row or column. Okta's Rescue Pre-K – Grade 2 Task. Number and Operations. Change the shape of the red square or red triangle by dragging from an edge or vertex while pressing the Control key. Release the mouse button to check your answer. Continue to select different combinations of shirt and pants, until you find all possible ways to outfit Bobbie. A diagram that shows how the handshakes are shared. You might also want to show a small jewelry box to the entire class so that all students understand the situation. Your task is to analyze and interpret the two graphs and then to determine how the two graphs are related. Explore different representations for fractions including improper fractions, mixed numbers, decimals, and percentages. 2 Investigating Geometry Concepts on GeoBoards. Clicking on the graph button will take you to a graph of the data. To select a shape, click on the shape in the icons at the top. What, if any, relationships can you identify among the segments and radius? See all Interactives. When you slide C back and forth along the blue line, how do the base (AB), height (DE), and area change? Discounts on NCTM Resources and Professional Development. Create a sequence of moves by using the four action buttons. Show Measurements - will reveal the distance of each point to the circumcenter. Player 2 then clicks on all the proper factors of Player 1’s number. Illuminations Notice and Wonder 1906 Association Drive Reston, VA 20191-1502 (800) 235-7566 or (703) 620-9840 FAX: (703) 476-2970 [email protected] Grouping and Grazing. To clear a step, click on the step in the plan and then click on the Clear Step button. Select three triangle elements from the top, left menu to start. g. Understand that by similarity, side ratios in right triangles are properties of the angles in the triangle, leading to definitions of trigonometric ratios for acute angles. Select Oktas to save them. To begin the game, Player 1 moves a marker (green square) to a number in the factor list of numbers 1-9 along the bottom of the game screen. Use the Reset button to start over. This activity helps children learn grouping, tally marks, and place value. Click on a shirt or a pair of pants and drag it over Bobbie Bear. Nim is any type of "take‑away game" in which players alternately remove counters, and the player who takes the last counter wins. Grade: 3rd to 5th, 6th to 8th, High School. 9–12 | A Deviation from the The Plotter Penguin game, ©2007 The University of Kansas, was developed by ALTEC at the University of Kansas Center for Research on Learning. How to Use. If the area is equal to your number, the rectangle will stay. Scissors – This tool takes 3 clicks to use. In this lesson, students will explore the historical and contemporary contributions of the continent of Africa, which includes its resources and people. Who We Are. " Pan Balance – Shapes. The square will be colored blue, as shown for 12. Two other tools, Pan Balance - Numbers and Pan Balance - Expressions, are natural extensions. In the Problems section, determine the answer to each question using the applet, a KenKen. Use this tool to investigate what happens when point P is moved to various points within, on, and outside the circle. Networking and Volunteer Leadership Opportunities. Free Access to NCTM’s Online Career Center. ChitChat, a cellular-phone-service provider, has no monthly fee for cellular-phone service but does charge a $0. When initially opened, only the top number line is active. Clicking on the x/y button allows you to examine the relationship between any two measures. (This applet works well when used in conjunction with the Ten Frame applet. Create customized activity sheets for your classroom. What kind of tessellations can you make out of regular polygons? This interactive is optimized for your desktop and tablet. Create a data set by dragging points onto the number line. Use this tool to strengthen understanding and computation of numerical expressions and equality. Fraction Game. Click a location on the canvas. Use the grid to help you find the factors. Each triangle congruence theorem uses three elements (sides and angles) to prove congruence. Take a look at our collection of mobile-friendly resources, and let us know what would be useful in your classroom! Graph Creator. Player 2 then moves the other marker (green square) to any number in the factor list (including the number marked by Player 1). Demonstrate an example of a net that will fold into a cube (such as Figures 1 and 2 on the Building A Box activity The Tower of Hanoi puzzle was invented by the French mathematician Edouard Lucas in 1883. Use this interactive tool to create dynamic drawings on isometric dot paper. Left Rotation. Fraction Models. In the diagram below, the blue line is parallel to the base of the parallelogram. Miss Spelling bought chocolate letters so that her students could spell their names. As you draw, the area of your rectangle will be displayed. Note: The tool does not allow you to select more than three elements. Use the other Show/Hide buttons to reveal various types of triangles such that AB is one of the sides. Have each student write down an estimate. In addition, the numbers must combine to form a target number Isometric Drawing Tool. Read the story behind Sunny & Shady Math here. Discounts on NCTM Resources and Professional Development. Use the sliders to increase or decrease the number of columns and rows (for Squares) or the number of sectors (for Circles). Check the Show Line of Best Fit box to see a linear approximation of this data. Illuminations is a project designed by the National Council of Teachers of Mathematics (NCTM). 5. In understanding equality, one of the first things students must realize is that equality is a relationship, not an operation. However, there are infinitely many versions of Nim. Start by clicking on the cube along the left side; then, place cubes on the grid where In this investigation students gather, organize and analyze temperature data from sun and shade, and then build their understanding of some standard ways to represent a set of numbers with statistics such as the median, mean and the interquartile range. Distinguish between numbers with many factors Your web browser must have JavaScript enabled in order for this application to display correctly. . Use the number line to find sums. Free Ride. The commands will appear on the screen below the picture of the ladybug. This interactive is also optimized for your desktop and tablet. Pan Balance – Expressions. Activity. This applet allows you to vary the gear ratio of a bike in order to alter the distance that it will travel. Shape Tool. The buttons are meant to be used sequentially. 2 Understanding Distance, Speed, and Time. Grouping and Grazing Pre-K – Grade 2 Count, add, and subtract by grouping cows. You can choose how many cards, what types of numbers, and Okta's level of strategy. Drag point C to change the orientation of triangle ABC. Students should work with a partner to answer questions 3 and 4. Explore magic squares from an historical and mathematical perspective. Finally, click on a shape that is covered by the line, and the shape will be cut into two pieces. Use this vertex-edge tool to create graphs and explore them. Understand that by similarity, side ratios in right triangles are properties of the angles in the triangle, leading to definitions of trigonometric ratios for acute Light Bounce. Area of Parallelograms. Release the mouse button to place that item on Bobbie. The goal is to move all the discs from the left peg to the right one. Start by clicking on the cube along the left side; then, place cubes on the grid where 9-12. Click on the Check buttons to see if your fractions match. Click on the Play button to see if the path works. Keep collecting as many as you can until the timer runs out. Count your Oktas and move the slider to that number on the number line. This tool allows you to learn about various geometric solids and their properties. Ten Frame. We've released Equivalent Fractions back into the iTunes store—download it today! Pre-K–Grade 5: Become confident in facts up to 12 x 12 using visual models that stress the conceptual aspects of multiplication. Use the Show/Hide Random Triangle buttons to place point C randomly in the plane. The correlation coefficient ( r) indicates how well the line approximates the data. The proper factors of a number are all the factors of that number, except the number itself. The distance traveled by a half-pedal is determined by the ratio of gears. Investigate ideas such as planar graphs, complete graphs, minimum-cost spanning trees, and Euler and Hamiltonian paths. Additionally, there are length, area, region, and set models. Grade: 6th to 8th, High School. A tessellation is a repeating pattern of polygons that covers a plane with no gaps or overlaps. Flip tiles, remove zero pairs, copy and arrange, and make your way toward a better understanding of algebra. After asking him ten questions that can be answered yes or no, you tell him the Grade: 3rd to 5th, 6th to 8th. Help the alien spaceship move cows into corrals by counting, adding, and subtracting. Illuminations Notice and Wonder 1906 Association Drive Reston, VA 20191-1502 (800) 235-7566 or (703) 620-9840 FAX: (703) 476-2970 [email protected] Exploration. This interactive is optimized for your desktop and tablet. Grade: PreK to 2nd, 3rd to 5th, 6th to 8th, High School. Start by clicking on the cube along the left side; then, place cubes on the grid where Illuminations Notice and Wonder 1906 Association Drive Reston, VA 20191-1502 (800) 235-7566 or (703) 620-9840 FAX: (703) 476-2970 [email protected] Algebra Tiles. Click and drag to draw a rectangle. Drag the orange and white points to change the size and shape of the quadrilateral (but notice that the diagonals always meet at a right angle). Choose either the Story Mode or a specific mode to explore plotting on the coordinate plane. Nim Games. Move the cursor across a shape and click again to complete a cut line. You can shift, rotate, color, decompose, and view in 2‑D or 3‑D. Estimate the age of schoolyard trees. Player 1 chooses a number on the game board by clicking on it. Algebra. Time: Day 1: 60+ minutes for problem Free Classroom-Ready Activities. The gray buttons will toggle on and off to show or hide values and/or segments. Solve equations, substitute in variable expressions, and expand and factor. (The number in the first blank will be filled in, but you'll need to find the number for the second blank. 3-5. Grade: PreK to 2nd. Five Frame Pre-K – Grade 2 Practice counting and adding by 5's. At any time, you can press the Reset button to start over. Preventing people from coming in contact with one another is one way to prevent the spread of influenza. You can plot any of the four measures on the x -axis against any of the four measures on the y -axis. Select Perpendicular Diagonals, but make sure that Congruent Diagonals and Bisected Diagonals are not selected. However, the total cost for each student's name varied greatly, since some letters cost more than others. The data from one student's experiment are recorded in the table below. In fact, infected people can pass the virus to others before symptoms even appear. This applet allows students to individually practice working with relationships among fractions and ways of combining fractions. Deep Sea Duel. Many students view "=" as "find the answer. og mt en rt dm ge wt pj ri la