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

Hopping on the Number Line

Pre-K-2, 3-5
In this lesson, students generate sums using the number line model. This model highlights the measurement aspect of addition and is a distinctly different representation of the operation from the model presented in the previous lesson. The order (commutative) property is also introduced. At the end of the lesson, students are encouraged to predict sums and to answer puzzles involving addition.
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Algebra

What’s Next?

Pre-K-2, 3-5
In this lesson, students make patterns with objects, read patterns and find patterns in the environment. They should be encouraged to classify patterns by type (i.e. AAB, ABC). They continue learning about patterns by extending a given pattern, identifying missing elements in a pattern, and recording a pattern.
Algebra

Exploring Other Number Patterns

Pre-K-2, 3-5
Students make and extend numerical patterns using hundred charts. They also explore functions at an intuitive level. This lesson integrates technology.
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Algebra

Growing Patterns

Pre-K-2, 3-5
Students explore growing patterns. They analyze, describe, and justify their rules for naming patterns. Since students are likely to see growing patterns differently, this is an opportunity to engage them in communicating about mathematics.
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Measurement

Pitching Cards

3-5
Students measure distances using standard and nonstandard units and record their measurement in various tables. Then use descriptive statistics to report the results. In this lesson, students play a game in which they pitch cards and measure the distances traveled.
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Data Analysis and Probability

National Population Projections

3-5
In this activity, students examine the United States Census Bureau Web site to investigate population projections from 1990-2100. Using the five provided pyramids, students analyze the data to determine
how the population is distributed over time, and explain what factors might contribute to these trends.
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Data Analysis and Probability

State Population Projections

3-5
In this activity, students  examine the United States Census Bureau Web site to investigate projections of the total population of states from 1995-2025. Using the provided data, students will analyze statistics from five states of their choice, develop specific research questions using the data, and create three graphs to compare and contrast the
information.
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Data Analysis and Probability

High Temperature

3-5
In this lesson, students complete a chart by adding or subtracting from a given value, use graphs to compare two categories of information, and identify number patterns.
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Data Analysis and Probability

Every Beat Of Your Heart

3-5
This activity involves taking a pulse, collecting and interpreting data, making predictions, and drawing conclusions. Its focus is the collection and analysis of data.
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Data Analysis and Probability

What's the Beat?

3-5
In this activity, students use the average adult's number of heartbeats per minute to predict how many times the heart would beat during various lengths of time. The students also draw conclusions on the basis of information about the human heart rate and that of other animals.