Complex numbers were first represented on the complex plane, now they are being represented using sine and cosine. Introduce the class to the polar form of a complex number with the 13th part of a 32-part series that defines the...

Class members perform complex operations on a plane in the 17th segment in the 32-part series. Learners first verify that multiplication by the reciprocal does the same geometrically as it does algebraically. The class then circles back...

Discover the connection between vectors and translations. Through the lesson, learners see the strong relationship between vectors, matrices, and translations. Their inquiries begin in the two-dimensional plane and then progress to the...

Use inverse trigonometric functions to work with ramps, rabbits, and Talladega. The class models real-world situations with trigonometric functions and solves them using inverses in the 15th installment of a 16-part series. Pupils solve...

The last installment of a 21-part module is an end-of-module assessment. Individuals show their understanding of positive and negative numbers on the number line, absolute value, and the coordinate plane in a variety of contexts.

Visualize the nth roots of unity. Pupils calculate the nth roots of unity and find all n roots. Learners plot the solutions in the complex plane and observe that they are the vertices of a regular n-gon inscribed in the unit circle....

In this derivative worksheet, students derive the equation of a plane containing given points. This one-page worksheet contains eight multi-step problems.

In this chain rule worksheet, students use the chain rule and substitution to find partial derivatives. They identify total surface area, and find the distance from the origin to the plane. This one-page worksheet contains seven...

In this point set worksheet, students explore definitions describing planar point sets. They use the definitions to describe examples of point sets. This two-page worksheet contains four problems and 15 definitions.

Students examine the characteristics of a Cartesian coordinate system. They use the game of baseball to help reinforce the topic. They develop a coordinate system for the desks in their classroom.

Students examine the important issue of plane safety. In groups, they are introduced to how NASA determines if it is safe to fly on a particular day given certain conditions. They use the internet to research the types of tools and...

Students explore how various ramps affect the rate of speed of a rolling object. In this physics lesson, students work in groups to build a ramp out of various materials. Students test and record the rate of speed of a rolling object by...

Students plan and build a ramp designed for maximum distance a car can travel. In this physics and data collection math lesson, students work in groups to design a ramp using various household materials. Students test small cars on their...

In this graph worksheet, students study colored shapes plotted on a Cartesian coordinate plane. Students identify the "right" and "left" coordinates for each shape. The page should be duplicated in color.

What would you be if you were attached to another object by an inclined plane wrapped helically around an axis? In this fourth presentation that covers work and simple machines, young physicists look at Newtons and Joules as...

Open up your pupils' eyes and minds on dilations. Scholars perform dilations on a trapezoid on the coordinate plane. They compare the image to the preimage and develop generalizations about dilations.

Bring about the change you want to see in the world  or at least in your lesson plans. Young mathematicians learn about translation and reflections by applying them to polygons on the coordinate plane. Results provide data to...

Students explore the simple machine of a wedge. In this wedge lesson, students test wedges on different materials including wax, soap, clay and foam. They learn how a wedge was used to build the ancient pyramid and modern day skyscrapers.

Students investigate ordered pairs. In this math lesson, students plot and locate ordered pairs in a coordinate plane and are exposed to how to read and create a map.

Students use a shower curtain to represent a coordinate plane and then physically demonstrate their understanding or ordered pairs as they move from place to place.

In this algebra worksheet, students solve and graph 3 linear inequalities on coordinate systems. They solve and graph 3 systems of linear inequalities on a coordinate grid.

Students brainstorm names of plane and solid geometric figures. Afterward, they explore the skyline of large cities and note their agricultural shapes. Using construction paper, students build 3-D geometric structures to create a skyline...

Teach how graphic designers can use mathematics to represent three-dimensional movement on a two-dimensional television surface. Pupils use matrices, vectors, and transformations to model rotational movement. Their exploration involves...

Understanding government spending is difficult. The number of variables can be enormous. In the corresponding resource, number crunchers are given one equation related to government spending with a number of variables. Your class is...