From Pythagorean triples to the unit circle. Learners use the Pythagorean Theorem to find Pythagorean triples and then relate their work to the unit circle in a fun algebra project. Their discovery that x^2+y^2 is always equal to one on...

Students discover the relationships of the lengths of the sides of right triangles and right triangles using a series of drawings on dot paper. They investigate and solve problems of standard (customary and metric units) and non-standard...

Students compare and contrast objects and are introduced to a Venn Diagram. In this alike and different lesson, students make observations regarding properties of objects. Students classify object and build ideas about variables....

Students explore the use of matrices and graphing calculators to solve a complex linear programming problem. They test their solutions to determine the best division of land use for the city.

Students are introduced to the elimination method in Algebra. As a class, they solve two linear equations with two unknowns using this new method. They discuss the positive and negative aspects of using this method to solve problems. ...

Young scholars define the slope of the line, find the slope between any two points on the line, and allow them to name other areas where the slope is used. They explain why the slope is defined as the rise over the run.

Learners explore exponential growth and decay using M&M’s in this Algebra II/Pre-calculus activity. They investigate the cost of a new car by calculating depreciation and payments.

Young scholars convert recipes for tortillas. They calculate the amounts of ingredients as they convert recipes and write an explanation of the task to demonstrate their calculations. After reviewing their calculations, they demonstrate...

Are we there yet?  Young trip planners learn about their state and plan a trip. They will select sites to see in three cities in their state, and record associated costs in a spreadsheet. While this was originally designed as a...

Students find the center, foci, vertices, and asymptotes of hyperbolas. They graph hyperbolas and determine the equation of a hyperbola with a horizontal transverse axis. They derive general coordinates for the foci of a hyperbola with a...

Students research propulsion, graph data, and interpret the results.

Learners compare and contrast the various types of rocks on each continent. In groups, the calculate the rock ages and types to determine if the continents, in their opinion, were joined at one time. They develop two imaginary...

Young scholars examine the importance of food safety and the impact it has on their lives.  In this health lesson students complete an oral report on food poisoning and design a low cost "safe" packing material for bread.

Seventh graders investigate how changes in the mass or height of a ramp can affect the change in potential energy. They discuss the concepts of work and energy, then using the four question strategy, they design an experiment that...

Young scholars examine the differences between a virus and a bacteriophage. They explore various websites, identify the parts of a virus and a bacteriophage, and construct a model of a virus or bacteriophage.

Pupils explore the concept of pyramids. They determine if two sides of a pyramid are perpendicular using a graphing calculator, then discuss parallel and perpendicular lines and how to determine if two lines are parallel or...

Middle and high schoolers identify and analyze fractals and research information using the Internet to locate information about them. They look at fractals in relation to nature and other real world situations. Pupils create several...

Students analyze graphs to compare cell phone plans. For this algebra lesson, students work together to analyze phone plans and report the best phone plan. Students develop tables and graphs.

Students draw conclusions and make conjectures given a specific scenario. In this geometry lesson, students model real life scenarios using properties of triangles. They model number facts and explain why the outcome is what it is.

In this algebra instructional activity, students identify polynomials and state the degree and rewrite it in standard form. There are 32 questions ranging from polynomials to graphing a quadratic.

Students work with monetary exchange rates and the metric system as they simulate working to help tourists travel through Canada to Alaska.

Learners write and solve equations converting between metric and standard measurement as they travel southeast on the Al-Can Highway.

Students explore inequalities. For this Algebra I lesson, students solve and graph linear inequalities involving addition, subtraction, multiplication, or division.  Students use inequalities to solve and graph real-world problems.

High schoolers graph linear and quadratic functions. In this algebra instructional activity, students create graph with specific coordinate points. They use the Ti to visualise and differentiate between the two functions.