## Pick-a-Path

Help Okta reach the target by choosing a path from the top of the maze to the bottom. Seven levels with seven puzzles will test your skills with powers of ten, negative numbers, fractions, decimals, and more. How many starfish can you earn?
An instructional guide — with details about the math concepts in the app, tips for using Pick-a-Path in the classroom, additional instructional activities, and other useful information — in addition to lessons and other supplemental resources for teaching with Pick-a-Path on the Illuminations website.

Illuminations now has a web-version of Pick-a-Path, too!

## Deep Sea Duel

Okta challenges you to a duel! Collect cards with a specified sum, and you win! But you better do it before Okta does! Choose how many cards (9 or 16), what types of numbers (whole numbers or decimals), and Okta’s level of strategy (easy to hard).

Prefer playing on a computer? Come to Illuminations where we have a web-version of Deep Sea Duel. Would you like some help refining your strategy? View the recording of a past webinar and other resources related to Deep Sea Duel on NCTM's website. Prefer playing the paper-based version of Deep Sea Duel? Illuminations has a lesson for that, too!

## Okta's Rescue

Oh, no! Okta and his friends need help. Help rescue them by transporting them to a safe ocean. How fast can you transport the Oktas? Use your counting skills to save as many as you can before the timer runs out.

Find the web-version of Okta's Rescue on the Illuminations website.

## Equivalent Fractions

Create equivalent fractions by dividing and shading squares or circles, and match each fraction to its location on the number line. Check your work, and use the table feature to capture results and look for patterns. Got a particular value for which you’d like to make equivalent fractions? Use “Build Your Own” mode.

Illuminations has a web-version of Equivalent Fractions, too!

## Math Concentration

By yourself or against a friend, match whole numbers, shapes, fractions, or multiplication facts to equivalent representations. Practice with the clear panes or step up the challenge with the windows closed. How many socks can you win?

Play the web-version of Math Concentration on your computer by visiting the Illuminations website.

# Apps Optimized for Your Desktop and Tablet

## Dynamic Paper

Need a pentagonal pyramid that's six inches tall? Or a number line that goes from -18 to 32 by 5's? You can create all those things and more with this interactive. Export your finished paper as a PDF activity sheet for your students or as a JPG image for use in other applications, such as the web.

Change the number of sectors and increase or decrease their size to create any type of spinner. Then, conduct a probability experiment by spinning the spinner many times. How does the experimental probability compare with the theoretical probability?

## 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? What other questions can this tool help you answer?

## Five Frame

Thinking about numbers using frames of 5 can be a helpful way to learn basic number facts. The four games that can be played with this applet help to develop counting and addition skills.

## Ten Frame

Thinking about numbers using frames of 10 can be a helpful want to learn basic number facts. The four games that can be played with this applet help to develop counting and addition skills.

## Okta's Rescue

Oh, no! Okta and his friends need help. Help rescue them by transporting them to a safe ocean. How fast can you transport the Oktas? Use your counting skills to save as many as you can before the timer runs out!

## Grouping and Grazing

Help the alien spaceship move cows into corrals by counting, adding, and subtracting. This activity helps children learn grouping, tally marks, and place value. As they mast counting, they can move on to adding and subtracting two-digit numbers.

## Coin Box

Learn how to count, collect, exchange, and make change for coins. The coin tiles help you count as you learn the value of each coin. How many of the games can you master?

## Bobbie Bear – Spanish

Bobbie Bear is planning a vacation and wants to know how many outfits can be made using different colored shirts and pants.

## Concentration

By yourself, or against a friend, match whole numbers, shapes, fractions, or multiplication facts to equivalent representations. Practice with the clear panes or step up the challenge with the windows closed. How many socks can you win?

## Patch Tool

Use this tool to design a pattern using geometric shapes.

## Shape Tool

This tool allows you to create any geometric shape imaginable. Shapes can be created, colored, enlarged, shrunk, rotated, reflection, sliced, and glued together.

## Cubes

Use this applet to determine the volume of a box by filling it with cubes, rows of cubes, or layers of cubes. Also, determine the surface area by using the box's net.

## Pan Balance – Shapes

Build up to algebraic thinking by exploring this balance tool using shapes of unknown weight. Challenge yourself to find the weight of each shape in one of six built-in sets or a random set.

## Pan Balance – Numbers

Use this tool to strengthen understanding and computation of numerical expressions and equality. In understanding equality, one of the first things students must realize is that equality is a relationship, not an operation. Many students view "=" as "find the answer." For these students, it is difficult to understand equations such as 11=4+7 or 3×5=17–2.

## Factor Game

Love the Factor Game? You can play against other players from all over the world at Calculation NationTM, and online world of math strategy games. Create an account, log in, and challenge an opponent to Factor Dazzle!

## Product Game

The Product Game is a fun, interactive game that exercises your skill with factors and multiples.

## Cube Nets

A net is a two-dimensional figure that can be folded into a three-dimensional object. Determine which nets will form a cube in this interactive.

## Fraction Game

This applet allows students to individually practice working with relationship among fractions and ways of combining fractions. For a two person version of this applet, search for the Fraction Track E-Example at nctm.org.

## Tessellation Creator

Use this applet to create patterns to cover the screen using regular polygons.

## Pan Balance – Expressions

This interactive pan balance allows numeric or algebraic expressions to be entered and compared. You can "weigh" the expressions you want to compare by entering them on either side of the balance. Using this interactive tool, you can practice arithmetic and algebraic skills, and investigate the important concept of equivalence.

## 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.

## Fraction Models

Explore different representations for fractions including improper fractions, mixed numbers, decimals, and percentages. Additionally, there are length, area, region, and set models.

## Factorize

Divide numbers into two factors and build arrays to represent each factorization.