This interactive tool allows a user to create many geometric shapes. Squares, triangles, rhombi, trapezoids and hexagons can be created, colored, enlarged, shrunk, rotated, reflected, sliced, and glued together.

This 2-lesson unit offers a variety of activities and games to help students master multiplication facts with 6 and 7 as factors. It is intended for students who understand the process of multiplication and have mastered the facts where 0, 1, 2, 3, 4, and 5 are factors. Students make use of the effects and properties of multiplication, write and solve story problems, and develop materials and strategies to assist in becoming fluent with the facts. The unit includes questions for students and teachers, a printable multiplication chart, extension ideas, and link to a Virtual Spinner and an online Times Table applet (both catalogued separately).

In this Illuminations lesson, students apply their knowledge of addition equations to investigate the equivalence of two numeric expressions using the "Pan Balance-Numbers" applet (cataloged separately). An instructional plan, questions for the students, assessment options, extensions, and teacher reflections are given for the lesson as well as links to the applet and a student activity sheet(word format).

In this lesson plan students use various types of visual representation to compare data about the number of letters in the name of each state; students create bar graphs from which they find the Mean, Median, Mode, and Range of their data set (10 states only). These data landmarks and visual representations are used to compare their data with their classmates. The lesson plan includes a grid paper document for creating the bar graph and a link to an applet for a State Data Map (cataloged separately).

Information can be represented in many ways; this applet allows the user to represent data about the states using color. The state with the highest data value is darkest; other states are shaded proportionally. Several sets of data are already entered and available for examination: state population, land area, representatives in Congress, gasoline usage, and more. Users can eliminate the data from any state in order to note the consequences, or enter their own data. A box plot and table accompany each map representation, showing the data in different but corresponding formats.

In this data analysis lesson students explore various representations, including bar graphs, steam-and-leaf plots, and box-and-whisker plots, to analyze the frequency of letters in the names of the 50 states. Students are encouraged to use a systematic approach to collect their data and are shown various tools to help them gather and display it. The lesson includes a student worksheet (PDF), links to a Decrypting Text website, Bar Grapher tool, and Box Plotter tool, and suggested questions, extension, and assessment ideas.

In this lesson plan students create graphs and analyze data based on the data provided by the United States Census Bureau. Students choose five states to focus on and create a bar graph for each, then students compare the data represented in the graphs and answer questions about the data. The lesson includes student activity sheet, the link to the U.S. Census Bureau is no longer active, please follow this link instead: http://www.census.gov/population/projections/files/stateproj/stpjpop.txt

In this math lesson, learners practice addition facts (with sums of 5, 6, 7, and 8) in a concentration-game format using dominoes. Then, learners generate sums of given numbers using a calculator, record the sums on a hundreds chart and look for patterns. This lesson guide includes questions for learners, assessment options, extensions, and reflection questions.

The four games that can be played with this applet help to develop counting and addition skills using frames of 10.

Thinking about numbers using frames of 10 can be a helpful way to learn basic number facts. The four games that can be played with this applet help to develop counting and addition skills. (This applet works well when used in conjunction with the Five Frame applet.)

Students use this Flash tool to build tessellations, discovering which shapes tile the plane with copies of themselves or together with other shapes. Regular polygons with 3-12 sides of the same length are provided; students may arrange, rotate, group, ungroup, paint, copy, and erase them.

Students construct "a tetrahedron and describe the linear, area and volume using non-traditional units of measure. Four tetrahedra are combined to form a similar tetrahedron whose linear dimensions are twice the original tetrahedron. The area and volume relationships between the first and second tetrahedra are explored, and generalizations for the relationships are developed." (from NCTM Illuminations)

In this statistics lesson plan, students gather information using the Internet about party affiliation and age at time of inauguration of current and past Presidents in order to construct a bar graph and a histogram. Once all of the data is collected students work together to complete the appropriate data displays and compare and contrast their findings. The lesson plan includes questions for reflection and discussion, student activity sheet, answer key, and an assessment option activity sheet and answer key.

This Java applet allows a user to practice multiplying numbers by clicking on any of the blue squares to show a product or to double-clicking on any displayed product to hide it behind a blue square again. Exploration questions are included to help the learner see patterns in the table.

In this math lesson, learners listen to a poem about money from Shel Silverstein's "Where the Sidewalk Ends" and examine a quarter. Learners find sets of coins equivalent to a quarter using pennies, nickels and dimes. Learners also estimate and count coin collections and count by fives and tens using actual and online calculators and pose and answer coin puzzles.

In this math meets life science lesson, learners measure the circumference of local trees in order to calculate diameters. Learners use this information and a growth rate table to estimate the age of the trees. This lesson guide includes questions for learners, assessment options, extensions, and reflection questions.

This Java applet provides opportunities for creative problem solving while encouraging young students to estimate length and angle measure. Using the Turtle Pond Applet, students enter a sequence of commands to help the turtle get to the pond. Children can write their own solutions using LOGO commands and input them into the computer. The turtle will then move and leave a trail or path according to the instructions given. (N.B. the applet is an upgrade of one that supported the Lesson "Get the Turtle to the Pond," cataloged separately.)

The brief video clips on this webpage illustrate the range of number sense exhibited by students in grades Pre K-2. In interviews, Cena and Jonathan, both age 7, and Rudy, age 9, demonstrate different levels of understanding number and place value concepts. The page includes discussion questions for each set of videos as well as concluding reflection questions.

This lesson from Illuminations provides an introduction to the use of variables, and develops students' algebraic thinking. Students create variable machines to discover the value of words by assigning each letter of the alphabet a unique number value. Learning objectives, a materials list, a pdf file of the student worksheet, an instructional plan, questions for the students, assessment options, extensions, and teacher reflections are provided.

This lesson plan provides the teacher with an activity to help students calculate the Greatest Common Factor of two or more positive integers and develop a definition based on their exploration. Students find the prime factorization of two positive numbers using factor trees and Venn diagrams to sort the prime factors. The plan includes learning objectives, materials needed, questions to ask students, assessment options, extensions, teacher self-reflection questions, and further references.