Interactive
National Council of Teachers of Mathematics

Nctm: Illuminations: Fraction Models

For Students 3rd - 8th Standards
Explore different representations for fractions including improper fractions, mixed numbers, decimals, and percentages. Additionally, there are length, area, region, and set models.
Interactive
National Council of Teachers of Mathematics

Nctm: Illuminations: Factorize

For Students 3rd - 8th
With this activity, you can visually explore the concept of factors by creating rectangular arrays. The length and width of the array are factors of your number.
Interactive
National Council of Teachers of Mathematics

Nctm: Illuminations: Coin Box

For Students Pre-K - 1st Standards
Learn how to count, collect, exchange, and make change for coins by manipulating coins using an array representation.
Interactive
National Council of Teachers of Mathematics

Nctm: Illuminations: Investigating Functions With a Ferris Wheel: D vs. W

For Students 9th - 10th
A web sketchpad activity helps students make sense of relationships between quantities, in this case the way that the distance a car travels around a Ferris wheel covaries with its "width" or horizontal distance from the center of the...
Interactive
National Council of Teachers of Mathematics

Nctm: Illuminations: Bunny Times

For Students Pre-K - 1st
Become confident in facts up to 12 x 12 using visual models that stress the conceptual aspects of multiplication.
Lesson Plan
National Council of Teachers of Mathematics

Nctm: Illuminations: Every Breath You Take

For Teachers 3rd - 5th
Students estimate the number of breaths they take, then perform an experiment to find the actual amounts.
Lesson Plan
National Council of Teachers of Mathematics

Nctm: Illuminations: The Game of Skunk

For Teachers 6th - 8th
This is a great math game for students to gain an understanding of experimental probability.
Interactive
National Council of Teachers of Mathematics

Nctm: Illuminations: Pandemics: How Are Viruses Spread?

For Students 9th - 10th
The spread of a virus is influenced by four factors. In this lesson you will predict the spread of a virus over a population.
Lesson Plan
National Council of Teachers of Mathematics

Nctm: Illuminations: Building Connections

For Teachers 9th - 10th
In this lesson, students translate between pictorial, written, and verbal representations of polynomials.
Lesson Plan
National Council of Teachers of Mathematics

Nctm: Illuminations: State Names

For Teachers 3rd - 8th Standards
Learners use multiple representations to display how many times the letters of the alphabet is used in a state name. Concepts explored: stem and leaf, box and whisker plots, histograms.
Interactive
National Council of Teachers of Mathematics

Nctm: Illuminations: Power of a Point

For Students 9th - 10th Standards
Use this tool to investigate what happens when point P is moved to various points within, on, and outside the circle. Can you identify any relationships among the segments and radius?
Interactive
National Council of Teachers of Mathematics

Nctm: Illuminations: Creating, Describing, and Analyzing Patterns

For Students Pre-K - 1st
Encourage students to use visualization, spatial reasoning, and geometric modeling to build their own patterns or recreate one from given square arrays.
Interactive
National Council of Teachers of Mathematics

Nctm: Illuminations: Product Game

For Students 3rd - 8th
The Product Game is a fun, interactive game that exercises your skill with factors and multiples.
Interactive
National Council of Teachers of Mathematics

Nctm: Illuminations: Patch Tool

For Students Pre-K - 1st Standards
Use this tool to design a pattern using geometric shapes.
Activity
National Council of Teachers of Mathematics

Nctm: Figure This: When in Rome

For Students 4th - 8th
Before leaving her hotel, Polygon noticed that the temperature outside was 35 degrees Celsius. Does she need a jacket for the day? Assume a jacket is needed if the temperature is less than or equal to 50 degrees F.
Activity
National Council of Teachers of Mathematics

Nctm: Figure This: Can You Run as Fast as a Car?

For Students 5th - 8th
During the 100 meter dash in the 1988 Olympic Games in Seoul, Florence Griffth-Joyner was timed at 0.91 seconds for 10 meters. At that speed, could she pass a car traveling 15 miles per hour in a school zone?
Interactive
National Council of Teachers of Mathematics

Nctm: Illuminations: Cube Nets

For Students 3rd - 8th Standards
This applet allows you to examine various two-dimensional figures to determine which ones can be folded into a cube.
Interactive
National Council of Teachers of Mathematics

Nctm: Illuminations: Algebra Tiles

For Students 9th - 10th Standards
Use tiles to represent variables and constants to solve algebra problems. Solve equations, substitute in variable expressions, and expand and factor.
Interactive
National Council of Teachers of Mathematics

Nctm: Illuminations: Concentration

For Students Pre-K - 1st
Play a matching game with different representations of equivalent items.
Interactive
National Council of Teachers of Mathematics

Nctm: Illuminations: A Geometric Investigation of (A + B)2

For Students 9th - 10th Standards
This interactive demonstrates why (a + b)2 = a2 +2ab + b2.
Interactive
National Council of Teachers of Mathematics

Nctm: Illuminations: Five Frame

For Students Pre-K - 1st Standards
The four games that can be played with this applet help to develop counting and addition skills.
Interactive
National Council of Teachers of Mathematics

Nctm: Illuminations: Adjustable Spinner

For Students Pre-K - 1st Standards
Use this tool to create a spinner to examine experimental and theoretical outcomes.
Activity
National Council of Teachers of Mathematics

Nctm: Figure This: Airport Runways

For Students 9th - 10th
Why are airport runways numbered? The math challenge is to figure out the missing runway number.
Activity
National Council of Teachers of Mathematics

Nctm: Figure This: Archeology

For Students 4th - 8th
Site A! Site B! How alike are we? Using the information from the chart, which two dig sites seem to be most alike?