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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Algebra

Practice Makes Perfect

Pre-K-2
During this lesson, students use what they know about fact families to play a concentration game. They will also identify subtraction facts they need to learn.
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Algebra

Looking Back and Moving Forward

Pre-K-2
This final lesson reviews the work of the previous lessons and suggests a framework for summative assessment. Students will self-select a solution strategy for subtraction from the models introduced in this unit. An extension activity is suggested in which students use the mathematical knowledge and skills developed in the previous lessons to demonstrate understanding and ability to apply that knowledge to playing a new game.
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Data Analysis and Probability

Freckle Face

Pre-K-2
This lesson initiates the development of skills in collecting and recording data. Students collect data about a partner's face and tally the data from the whole class. They learn the convention for displaying a set of five using tally marks. Then students create a pictograph and pose and answer questions about the data set.
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Data Analysis and Probability

The Eyes Have It

Pre-K-2
Students collect data about the eye color of class members. They create bar graphs with several classifications of data. They pose and answer questions about the data by looking at the graph, and they find the range and mode.
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Data Analysis and Probability

Up on Top

Pre-K-2
In this lesson students generate bar graphs. Posing and answering questions using the graphs gives them an opportunity to apply their reasoning and communication skills. They also consider whether a given category is likely, certain, or impossible.
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Algebra

Exploring Pennies and Dimes

Pre-K-2
In this lesson children examine pennies and dimes and model subtraction as they listen to a children’s book. They model amounts to 60 cents with coins. They use coin rubbings of pennies and dimes and make a chart comparing the two coins. At the conclusion of the lesson, they begin a word wall and make an entry in their portfolios. 
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Algebra

How Many Ways?

Pre-K-2
Children extend their investigation of the previous day to include nickels. They estimate the value of collections of pennies, nickels and dimes then determine the exact amount by exchanging sets of pennies or nickels for dimes.
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Algebra

Trading For Quarters

Pre-K-2
In this lesson, children listen to a poem about money, and then examine a quarter. They find sets of coins equivalent to a quarter using pennies, nickels and dimes. They also estimate and count coin collections and count by fives and tens using actual and online calculators and pose and answer coin puzzles.
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Algebra

Modeling Prizes

Pre-K-2
Children use pennies, nickels, dimes, and quarters to model amounts to 70 cents. Next they answer money puzzles and estimate the number of pennies in a jar. They also add to the word wall.
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Algebra

Looking Back and Moving Forward

Pre-K-2
This final lesson of the unit reviews the work of the previous lessons. Children discuss and model prices and the words on the word wall and play games to facilitate continuing practice. They add to their portfolio and listen to another children’s book. Questions for summative evaluation are suggested.