Thank you for your interest in NCTM’s Illuminations. Beginning in mid-April, all Illuminations content will be moving to nctm.org/illuminations. Interactives will remain openly available and NCTM members will have access to all Illuminations lessons with new filtering and search options. We hope you will continue to utilize and enjoy these resources on nctm.org.

## Search Results

### Coin Box

Pre-K-2, 3-5
Learn how to count, collect, exchange, and make change for coins by manipulating coins using an array representation.

### Dynamic Paper

Pre-K-2, 3-5, 6-8, 9-12

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! Place the images you want, then export it as a PDF or as a JPG image.

### Equivalent Fractions

3-5

This applet allows you to create equivalent fractions by dividing and shading squares or circles, and match each fraction to its location on the number line.

### Factorize

3-5, 6-8
Dividing Numbers into Two Factors and Building Arrays to Represent Each Factorization

### Fractal Tool

3-5, 6-8, 9-12
This applet allows you to explore iteration and patterns in shapes and numbers with fractals.

### Fraction Models

3-5, 6-8
Explore different representations for fractions including improper fractions, mixed numbers, decimals, and percentages. Additionally, there are length, area, region, and set models.

### Geometric Solids

Pre-K-2, 3-5, 6-8, 9-12
This tool allows you to manipulate various geometric solids and investigate their properties.

### Grouping and Grazing

Pre-K-2
Help the alien spaceship move cows into corrals by counting, adding, and subtracting. This activity helps children learn grouping, tally marks, and place value.

### Pan Balance – Expressions

3-5, 6-8, 9-12
Using this interactive tool, you can practice arithmetic and algebraic skills, and investigate the important concept of equivalence.

### Pan Balance – Numbers

3-5, 6-8
Use this tool to strengthen understanding and computation of numerical expressions and equality using a balance scale.