Learn how to use a matrix to organize data to solve a problem. This activity uses wins and losses to rank players for an air hockey tournament they wish to have. After practicing some basic matrix operations the class could do the...

In this graphing speed and time worksheet, students answer 7 questions regarding graphing, speed, distance, derivatives, Newton's method and wheel radius.

Here is a set of lessons that explore conics in a number of different ways. Starting with modeling how a conic is produced by the way a plane cuts the cone, to solving complex word problems, algebra learners progress through a series of...

How do you find the area of an irregular shape? Class members calculate the area of an irregular shape by finding the area of a random sampling of the shape. Individuals then utilize a confidence interval to improve accuracy and use a...

Provide your young scholars with a framework for introducing indefinite integrals. It takes into account a learner’s prior knowledge of slope fields and definite integrals and uses the notion of an antiderivative to give them an...

More people, more garbage! Young environmentalists graph population growth against the amount of garbage generated per year and find a linear model that best fits the data. This is an older resource that could benefit from more recent...

Most young mathematicians are aware that the planets don’t orbit the sun in a circle but rather as an ellipse, but have never studied this interesting feature. This resource looks at the planetary orbits in more detail and helps learners...

Real-world application of the finite geometric series. Sick? Need to take Ampicillin? How much is in the body at any given point in time as this medication is taken over the course of time. Use the formulas, make calculation, and graph...

Students investigate poverty using graphs. In this algebra lesson, students collect data on the effects of poverty and use different rules to analyze the data. They graph and use the trapezoid rule to interpret the data.

Mathematicians use a symmetric secant line to prove the derivative at a point. In this trigonometry lesson, students create secant lines on the navigator to analyze the derivative. They move the lines around and make observations.

Pupils, with the assistance of their TI-84 Plus / TI-83 Plus calculators, distinguish meanings from right, left and symmetric difference quotients that include rate of change and graphical interpretations. They utilize symmetric...

Using TI-89, mathematicians explore and investigate Riemann sums to estimate the area under the graphs of intervals by drawing and illustrating rectangles. They review and practice the concepts of summation notation and area formulas to...

Students observe and calculate slopes. In this algebra activity, students graph equations and determine the pace at which the slope is changing. They use the navigator to see the change as they graph the lines around.

Students identify different locations on a unit circle. In this precalculus activity, students identify the different trig properties and rewrite the equation of a circle in standard form. They use mnemonic devices to help them...

In this motion problem worksheet, students solve 1 motion problem.  Students find the position of a particle with given acceleration and velocity.

Students explore various approaches to solving a problem of maximizing the total production of apples in an orchard. In this apple orchard instructional activity, students collect data in order to solve the apple orchard problem...

In this mathematical modeling worksheet, students answer two essay questions. They describe Newton's Law of Cooling by describing and constructing a model and answering seven essay questions about the process.

Students apply the properties of a right triangle. In this triangle lesson, students describe and compare radians to degrees. They solve problems using the properties and ratios of a right triangle.

Learners find the length of the arc of a circle. In this geometry activity, students calculate the length of an arc and find the measure of the central angle given the length of the arc. They convert between linear and angular speed....

In this pi learning exercise, students evaluate the curve of a quarter of a circle. They analyze the length of the curve, and explain that if the area under the curve is equal to pi, the length of the curve above is also equal to pi....

In this ion rocket and orbits worksheet, students read about the spiral orbit the Dawn spacecraft took due to its ion rocket motor. Students solve 3 problems including finding the path taken by the spacecraft, determining the total path...

In this frames of reference activity, students solve 5 problems given the details of a journey an ant takes from the center of a CD ROM to its edge. Students draw a scaled sketch of the turntable showing the motion of the ant from...

In this algebra worksheet, 11th graders solve word problems creating a right triangle. Students determine the point and direction this turn of ninety degrees occurs. There are 4 questions with an answer key.

In this maximizing volume instructional activity, students solve 4 short answer problems. Students find the maximum area of a rectangle, volume of a box, and height of an object. Students determine the time at which the object in motion...