Third graders model the tag and recapture of bears and use proportions to estimate the population of the bears in their forest. This is a statistical sampling method used by scientists and naturalists to determine population numbers.

Second graders use numerical data about Texas to write and solve real-life problems involving addition and subtraction (or multiplication and division). They work in pairs to choose three numerical facts about Texas to use to make up...

Sixth graders conduct a survey and collect data to construct a bar graph that will then be changed into a circle graph. With the bar graph, 6th graders compare estimated fractions and percentages and estimate percentages. With the circle...

student make predictions or draw conclusions based on physical and visual representations of profit and sales. They model problems with physical materials and visual representations, and use models, graphs and tables to draw conclusions...

Students solve problems with triangles. In this geometry lesson, students analyze shapes to find different triangles. They name the shapes created by putting triangles together.

Learners construct models of various tricubes, tetracubes, and pentacubes that are possible, classify n-cubes into different groupings, and draw these figures on isometric dot paper giving true perspective to what they visualize.

Pupils build a working definition of regular fractal, look carefully at the concepts of dimension and scale, and are introduced to logarithms. They solve simple exponential equations for the exponent both by trial and error and using logs.

Middle schoolers build a working definition of a regular fractal, they measure the concepts of dimensions and scale, they explore the concept of a logarithm and they attempt to solve simple exponential equations for the exponent both by...

Students investigate geometric shapes in their environment, make a geometric design, and write paragraphs describing the design.

Students are introduced to the problem and brainstorm ideas for approaching the problem and keeping track of what has been done. They work in pairs and share their answers, explaining their reasoning.

Students identify, describe, count, tally, and graph life found in one square foot of land.

Students explore the Mandelbrot Set. They are introduced to the concept of a complex number and function in order to motivate the discussion of Julia and Mandelbrot sets. Students investigate fractals and how they are built.

Students describe, make and compare polygons. In this creating polygons lesson, students identify properties of quadrilaterals and describe common features of two dimensional shapes.

Learners use the digital camera, identify geometric shapes (in nature as well as man-made), and gain a better understanding of geometric vocabulary. They search for and recognize geometric shapes in unusual settings

Students are introduced to the problem. They brainstorm ideas for approaching the problem and keeping track of what has been done. Students work on the problem in pairs to discover what strategies might help to find the answer.

Fourth graders use colored beads in two problems and explore the use of proportional reasoning as a problem solving method. Working Students, in groups, explain their reasoning strategies orally, and through drawings.

Eighth graders find connections between numbers in a table; use Pythagoras' theorem in a general algebraic form; and measure accurately from a scale drawing to find a method that might enable the helicopter to land inside a rectangular...

Tenth graders investigate the Pythagorean Theorem. Then they type up a formal paragraph proof of a proof of their choice.

Young scholars create a graph that showcases their pick for favorite kind of apple. Students are given samples of a variety of apples to determine their favorite in a taste test. They a create a tally chart of favorite kinds apples and...

Seventh graders create a time line of significant dates in the history of their nation. This requires students to examine the entire history of a country and make informed judgments based on their historical knowledge.

Eighth graders investigate the Pythagorean Theorem and practice applying the theorem to various triangles. Finally, in the next lesson in the sequence, 8th graders create a song or a story to help them remember the Pythagorean Theorem.

Students define adaptation and highlight example of adaptation in birds and other animals. They study feeding techniques of seabirds and investigate the effect that trash has on wildlife.

Learners discuss definitions of estuary, salinity, and the salt front. They listen as the teacher explains the Hudson River Miles and ways the upriver and downriver sections relate to the north and south. Students graph the salt front...