Eighth graders calculate a system of equations to find the best ticket price for a ticket at a water park. They explain how the equations helped them make their decision on the best price.

An interesting instructional activity on hypothesizing about the diameter of a drop of blood that is splattered. To test their theories, learners work in groups to make blood droplets splatter from different heights. They use graphed...

Your young taxi drivers evaluate and articulate the reasoning behind statements in a conceptual task involving linear data. The given data table of distances traveled and the resulting fare in dollars is used by learners to explore...

Your class will be very interested in the results of this activity. How long does it take a MP3 and video game player to charge?  Sam only has an hour and the MP3 player only has 40% of its battery life left. Plus, his video player...

Learners rewrite a general quadratic function by completing the square to see a new form of the function that more easily identifies the x-coordinate of the vertex and the two roots of the function.

Seventh graders investigate the concept of looking at the data put in a variety of ways that could include graphs or data sets. They analyze data critically in order to formulate some sound conclusions based on real data. Students graph...

Students become acquainted with linear graphs, the parabola and the rectangular hyperbola. Also prepare tables of paired values as preparation for plotting a line. They study the cartesian equation of an ellipse, with a worked example.

Students distinguish between possible and impossible graphs of functions, and to learn why some graphs are impossible. They have practiced plotting functions on the Cartesian coordinate plane

High schoolers practice graphing quadratic equations. They work to solve and equation involving finding the vertex using given formulas. Once their points have been graphed, students determine the direction in which the angle opens....

Students discover the formulas for calculating distance. In groups, they solve equations determine the distance in a specific amount of time. They record their answers in a chart or graph and compare them with their classmates.

Learners listen to a story dealing with exponential and linear growth. After reading the story, students complete a table comparing information. Using a calculator, learners graph the rice and daily population of flies. They study the...

Twelfth graders solve first order differential equations using the separation of variables technique. In this calculus lesson, 12th graders explain the connection between math and engineering. They brainstorm what engineers do in real life.

Students explore the concept of graphing data. For this graphing data lesson, students determine the percentage of sugar in bubble gum. Students graph type of gum vs. sugar percentage. Students create a table of their data.

Students discover patterns and write conjectures relating to perimeters and polygons. Working in cooperative learning groups, they use manipulatives and graphic organizers to solve problems then answer a series of questions in which they...

Students work together to discover the flow rates of faucets and rivers. They relate their results to engineering and applied science concepts. They make predictions on the flow rate of a nearby river in their local community.

Eighth graders use M&M's to experiment with data. They use a graphing calculator to determine the best equation for their data; linear, quadratic or exponential. They analyze the data to find the half-life of their M&M's.

Learners differentiate between linear and non-linear graphs. In this algebra lesson, students investigate slopes as it relates to a function using graphs of linear and non-linear equations. They collect data using the TI to graph...

Students graph the slopes of a line using the intercepts. In this precalculus lesson, students identify the properties of a curve slope. They find the limit and use a graping calculator to graph their lines.

Students define normal distribution as it relates to the bell curve. In this statistics lesson, students use the central tendencies of mean, median and mode to solve problems. They plot their data and draw conclusion from the graphs.

Students identify the slope of a lines.In this algebra lesson, students define the  meaning of slope and write an equation given the slope. They graph linear functions using the slope and y-intercept.

Students calculate the slope of a line. In this slope instructional activity, students use a graph, an equation or two points to help them calculate the slope of a line. They differentiate between a slope of zero and an undefined slope.

Students test Leonardo da Vinci's view of the human body by measuring various body parts using a tape measure. They create a data table and a scatter plot and then analyze and interpret the results using a graphing calculator.

Fourth graders find the range, mode, median, and mean for each of the data sets (height and shoe size). They discuss which measure of central tendency for each data set best represents the class and why. Students graph the shoe size and...

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...