This mobile app (available for both iOS and Android devices) was developed by the National Council of Teachers of Mathematics with funding from Verizon Foundation. The app is based on the Decimal Maze from the popular lesson "Too Big or Too Small". The goal is to help Okta reach the target (maximum, minimum, or a specific value) by choosing a path from the top of the maze to the bottom — adding, subtracting, multiplying and dividing as the player goes. Seven levels with seven puzzles in each level test the player's skills with operation with powers of ten, negative numbers, fractions, decimals, and exponents.

This instructional guide (PDF) is for the mobile app Pick-a-Path (both iOS and Android platforms). The guide provides professional development by discussing the math in each level of the game, giving suggestions for classroom use, and recommending related resources from Illuminations. The Pick-a-Path app is cataloged separately and listed as a related resource.

"Each student creates parallelograms from square sheets of paper and connects them to form an octagon. During the construction, students consider angle measures, segment lengths, and areas in terms of the original square" (from NCTM's Illuminations).

In this lesson plan, students are asked to use measurement skills to perform an experiment. The data from the experiment is then recorded in a table and analyzed to determine the median and range. The lesson plan includes a PDF document for data collection and analysis, as well as extension suggestions for higher level thinkers.

In this three-lesson unit students conduct surveys, create graphs, and explore combinations related to pizza toppings. Each lesson plan contains worksheets in PDF format.

In this data collection and analysis activity students investigate the data in connection with recyclable materials and develop plans to help the environment. Through this activity, students explore recycling plastic containers and graph the frequency of different types of recyclable plastics. The lesson includes student worksheets, extension suggestions, and student questions.

In this interactive Flash game learners use their knowledge of coordinates on a grid to move Plotter the penguin and avoid trouble. The game includes three levels of difficulty, a story mode, and a choice of five different games to play. Each game provides instruction as well as in-depth help in linked PDF documents.

In this math activity, learners classify polygons according to more than one property at a time. In the context of a game, learners move from a simple description of shapes to an analysis of how properties are related. This lesson guide includes sample steps in the game and extensions.

In this lesson, students will play the roles of banker and consumers as they learn how to use different combinations of coins to make money amounts up to 25 cents. Students will earn money and save it in their piggy banks until they have the exact amount to purchase an item of their choice. Suggestions for questions and assessment options are included.

In this math lesson, learners play the role of a consumer as they learn how to use different combinations of coins to make money amounts up to 25 cents. Learners earn money and save it in their piggy banks until they have the exact amount to purchase an item of their choice. This lesson guide includes questions for learners, assessment options, extensions, and reflection questions.

In this online version of the popular card game, students combine five given number cards, using the four arithmetic operations (addition, subtraction, multiplication, division), to arrive at a target number. This version uses the numbers 1–10 only. Users may ask for a hint or view a possible solution, although there are often multiple solutions.

This interactive game for one or two players develops students' fluency with multiplication facts, understanding of the relationship between factors and products, and strategic thinking. Players take turns moving markers on a factor list and claiming their products on a board displaying all the products of the numbers 1-9. The first player to claim four in a row wins the game. The factors and number needed to win are customizable. The resource includes links to related lessons.

This interactive Java application helps students understand the partial quotients algorithm of division in the context of dividing food equally. Students select a character and a type of food as well as the quantities of characters (divisor, 1-50) and food (dividend, 1-500) – or have the applet make selections randomly. The applet creates a story problem and leads users through the algorithm one step at a time, using questions related to the meaning of each step, and displays graphics illustrating the steps. Remainders can be expressed as whole numbers or fractions. An online calculator is available to help with calculations.

In this math meets physics game, learners pretend they are pilots of rescue helicopters and must fly their helicopters to the top of a mountain to rescue lost hikers. Learners first explore the four forces of flight: lift, drag, thrust, and weight. Before playing the game, learners conduct a probability experiment with spinners and record their results in tally tables and bar graphs. They then use their findings to select spinners with the greatest probability of helping them win the game. In a portion of the game, learners use ordered pairs to plot points on the coordinate plane to show their flight path.

In this lesson plan students explore the four forces of flight in order to complete the "Rescue Mission". Students must use their knowledge of probability to choose the spinner that will help them win the game. Students must also use their knowledge of graphing points on a coordinate grid in order to plot the results of each spin. The game board and spinners are included (PDF).

In this lesson plan students must create their own method for keeping track of rubber ducks found around the classroom. Students are then given an opportunity to share their data collection strategies and discuss the benefits and drawbacks of each one. The lesson plan is written to make an easy tie in to language arts by incorporting discussion of the words "in" or "on" when discussing the ducks location. PDF documents for cut out rubber ducks, data collection assessment, and answer key are provided.

In this unit of five lessons from Illuminations, learners begin with a number-line model and extend it to investigate linear relationships with the Distance, Speed, and Time Simulation from NCTM's E-Examples. Students then progress to plotting points and graphing linear functions while continually learning and reinforcing basic multiplication facts. Instructional plan, questions for the students, assessment options, extensions,and teacher reflections are given for each lesson as well as links to download all student resources.

In this 5-lesson multi-media unit, students will explore various real-world applications of different forms of measurement, including time and distance. They will make estimations and calculations. Throughout the unit, students will be using online resources to familiarize themselves with coral reefs, the nation of Belize, and to plan a pretend scuba diving trip. Activity sheets (pdf), links to online resources, assessment options and other commentary are provided.

In this math meets physics lesson, learners encounter the magical effect of reflection as they use a mirror to visually experience the concept of doubling quantities. This experience focuses learners' attention to using doubles as a strategy to make number operations easier, specifically addition. The book "Two of Everything" by Lily Toy Hong is used to introduce learners to these concepts. A game is used for discovery and practice and writing is used as closure to this lesson. This lesson guide includes questions for learners, assessment options, extensions, and reflection questions.

In this web-based application from Illuminations students must sort shapes based on the categories of the Venn diagram. Users can choose the categories from a drop down menu. The application includes instructions and exploration steps.