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.

## Search Results

Pre-K-2
In this activity, students plan a series of moves that will navigate a ladybug through a maze. Their plans turn the ladybug at the appropriate corners and keep it on a path without crossing the walls. This activity helps students gain experience in estimating length and angle measures.

### 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.

### I've Seen That Shape Before

Pre-K-2
Students learn the names of solid geometric shapes and explore their properties. At various centers, they use physical models of simple solid shapes, including cubes, cones, spheres, rectangular prisms, and triangular prisms.

### 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.

### 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.

### Magic Squares

6-8
This lesson explores magic squares from both a historical and mathematical perspective. The mathematical analysis leads into symbolic algebraic representation of the patterns. This lesson is based upon an article from the April 2001 edition of Mathematics Teaching in the Middle School.

### Polygon Capture

6-8
In this lesson, students classify polygons according to more than one property at a time. In the context of a game, students move from a simple description of shapes to an analysis of how properties are related. This lesson was adapted from an article which appeared in the October, 1998 edition of Mathematics Teaching in the Middle School.

### Recording Two Ways

Pre-K-2
The students make sets of pasta shapes and count some away, then record the subtraction in vertical and horizontal formats. They draw a set and cross out some shapes, then write in both formats the subtraction that the drawing represents.

### How Many Left?

Pre-K-2
This lesson encourages the students to explore the familiar set model of subtraction. The students write story problems and find differences using sets, including subtracting all and subtracting zero. They record the differences in a chart.

### Where Will I Land?

Pre-K-2
In this lesson, the students find differences using the number line, a continuous model for subtraction. [Number can be considered in two ways: discrete and continuous. The counting and set models use the discrete form of number.] Students are encouraged to predict differences and to compose puzzles involving subtraction.