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Want to use Illuminations resources but don't know where to begin? We've got you covered!

Geometric Solids: This tool allows you to learn about various geometric solids and their properties. 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 is the relationship between the number of faces, vertices, and edges?

Geometric Solids

illuminations.nctm.org

KenKen is a puzzle game that helps students improve their calculation skills, logical thinking and persistence. The goal is to fill a grid with numbers so that no number appears more than once in any row or column. In addition, the numbers must combine to form a target number using a specific operation.

Name Letters: Miss Spelling bought chocolate letters so that her students could spell their names. However, the total cost for each student's name varied greatly, since some letters cost more than others. If you were one of Miss Spelling's students, how much would your name cost? Full details can be found in the Exploration section below or by viewing the Name Letters activity sheet.

Graph Creator: Use this vertex-edge tool to create graphs and explore them. Investigate ideas such as planar graphs, complete graphs, minimum-cost spanning trees, and Euler and Hamiltonian paths.

Trigonometric Graphing: Explore the amplitude, period, and phase shift by examining the graphs of various trigonometric functions. Students can select values to use within the function to explore the resulting changes in the graph.

Trigonometric Graphing

illuminations.nctm.org

The Tower of Hanoi puzzle was invented by the French mathematician Edouard Lucas in 1883. We are given a tower of eight disks (initially three in the applet below), initially stacked in increasing size on one of three pegs. The goal is to move all the discs from the left peg to the right one.Try to move all the discs using the smallest number of moves possible. Compete against a friend to see who can solve the puzzle in the shortest time or with the fewest number of moves.

Algebra Tiles: Using tiles to represent variables and constants, learn how to represent and solve algebra problem. Solve equations, substitute in variable expressions, and expand and factor. Flip tiles, remove zero pairs, copy and arrange, and make your way toward a better understanding of algebra.

This activity allows the user to enter a set of data, plot the data on a coordinate grid, and determine the equation for a line of best fit.

Line of Best Fit

illuminations.nctm.org

Dynamic Paper: Need a pentagonal pyramid that's six inches tall? Or a number line that goes from ‑18 to 32 by 5's? Or a set of pattern blocks where all shapes have one-inch sides? You can create all those things and more with the Dynamic Paper tool. Place the images you want, then export it as a PDF activity sheet for your students or as a JPEG image for use in other applications or on the web.

Isometric Drawing Tool: Use this interactive tool to create dynamic drawings on isometric dot paper. Draw figures using edges, faces, or cubes. You can shift, rotate, color, decompose, and view in 2‑D or 3‑D. Start by clicking on the cube along the left side; then, place cubes on the grid where you would like them.

Isometric Drawing Tool

illuminations.nctm.org