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.

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Number and Operations

6.1 Understanding Multiplication Using Dynamic Sketches of an Area Model

6-8

Build conceptual reasoning for multiplying decimals by manipulating an area model.

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Algebra

5.2 Understanding Distance, Speed, and Time

3-5
Find the relationship between time and distance.
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Algebra

7.2 Using Graphs, Equations, and Tables to Investigate Iteration and Recursion

9-12

Iterate up to 100 times after defining the initial value and recursive function. 

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Algebra

6.2 Cost per Minute

6-8

Explore a linear function or a piecewise function comparing units vs. cost per unit in order to find the total cost of a phone plan.  

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Geometry

5.3 Exploring Properties of Triangles and Quadrilaterals

3-5
Observe the properties of triangles and quadrilaterals by manipulating the sides, angles, and type.
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Number and Operations

5.1 Playing Fraction Track

3-5
Take timed turns racing to the end of each fraction line by moving one or more of your markers to sum to a given fraction value.
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Number and Operations

4.5 Learning about Number Relationships

Pre-K-2

Find and create up to four number patterns by using a calculator or by shading in values in rectangular grids up to a value of 100.

 

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Geometry

4.4 Developing Geometry Understandings with Tangrams

Pre-K-2
Create images and build basic geometric understandings.
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Algebra

4.2 Investigating Geometry Concepts on GeoBoards

Pre-K-2
Explore geometric shapes and measurements.
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Algebra

4.1 Creating, Describing, and Analyzing Patterns

Pre-K-2
Encourage students to use visualization, spatial reasoning, and geometric modeling to build their own patterns or recreate one from given square arrays.