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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.
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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.
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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.
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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...
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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.
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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.
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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.
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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.
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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.
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Lesson Plan
National Council of Teachers of Mathematics

Nctm: Illuminations: State Names

For Teachers 3rd - 8th Standards
Students 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.
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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?
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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.
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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.
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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.
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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.
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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?
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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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?