Texas Instruments
Complex Numbers: Plotting and Polar Form
Explore the concept of, and use the Ti-Nspire to, convert complex numbers into polar form. Then practice graphing complex numbers in the polar coordinate plane.
Curated OER
Ellipses and Kepler's First Law
The class examines graphs in the form r = F(¿¿) in polar coordinates (r, ¿¿), in particular with the circle, ellipse and other conic sections. They determine the nature of an ellipse by studying the role of the semimajor axis and...
EngageNY
Trigonometry and Complex Numbers
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...
Curated OER
Space Shuttle's Heat Shield Problem
Students participate in a role-play activity to determine how to replace heat shields on the space shuttle using polar coordinates.
Curated OER
Introduction to Polar coordinates
The class practices plotting points in a Cartesian coordinate system and a Polar coordinate system. They convert from one system to the other to get coordinates to plot. Then they play a Tic-Tac-Toe or Connect Four game to have a...
Curated OER
Polar and Cartesian Coordinates
The class has a brief review of polar and Cartesian coordinates. Then they get to play battleship and discover polar coordinates in more depth. They get a lot of practice converting from polar to Cartesian coordinate points and vice...
Alabama Learning Exchange
Finding Prime
Fifth and sixth graders explore prime numbers. They work with a partner to build rectangular arrays using twelve tiles. Factor pairs are noted and recorded on graph paper. Pupils construct rectangular arrays with a prime number and...
Curated OER
Shapes to Forms
Here is a math lesson that is really a visual arts lesson in disguise! In it, pupils utilize their knowledge of geometric shapes and forms to create a detailed version of a cylinder. The instructions on how to go about the task are very...
Curated OER
Visualizing Vectors
Investigate vectors in standard positions and use the CellSheet application on the TI calculator to find the sum of two vectors. Convert from polar to rectangular coordinates and vice versa, and show graphs of the vectors.
Curated OER
Complex numbers in polar form
Students plot complex numbers in the polar plane. They convert complex numbers in polar form to rectangular form. Students plot coordinates in the polar plane. They plot complex numbers in the complex plane. Students are asked to...
EngageNY
Exploiting the Connection to Trigonometry 1
Class members use the powers of multiplication in the 19th installment of the 32-part unit has individuals to utilize what they know about the multiplication of complex numbers to calculate the integral powers of a complex...
Curated OER
Area Model of Multiplication Using Base 10 Manipulatives
Explore two-digit multiplication with your class as they work in groups to build models of two-digit multiplication using base 10 manipulatives. They construct rectangles replacing standard numbers with equivalent place values using...
Curated OER
New Boxes From Old
Middle schoolers find the volume and surface area of a rectangular box (e.g., a cereal box), and then figure out how to convert that box into a new, cubical box having the same volume as the original. As they construct the new,...
Learner
Solid Shapes
A collection of two lessons, kindergartners will identify two-dimensional shapes in solid shapes. They will develop basic knowledge of the components that make up a sphere, rectangular prism, pyramid, cylinder, cone, and cube. Young...
Curated OER
Two for One Box Company: Student Worksheet
Fifth and sixth graders work alone or in pairs to determine the volume of paper boxes of various dimensions. Pupils write ratios of dimensions and volumes.
EngageNY
Vectors and the Equation of a Line
Represent linear equations in both two and three dimensions using parametric equations. Learners write parametric equations for linear equations in both two and three variables. They graph and convert the parametric equations to...
Curated OER
Finding Volume of Similar Figures
Upper elementary and middle schoolers examine the Volumes of Similar Figures. They investigate the relationship between corresponding sides and evaluate the volume of similar figures. Pupils record their findings on various activity...
Mathematics Assessment Project
Modeling: Making Matchsticks
Math: The only subject where the solution to a problem is seven million matches. Young scholars first complete an assessment task estimating the number of matches they can make from a tree of given dimensions. They then evaluate provided...
Curated OER
Lines and Patterns
Here are six outstanding art lessons on geometry, line, shape and form, light and shadow, line and pattern, and tessellation for you. Each activity is well-worth implementing with your art students. These lessons would be especially good...
EngageNY
The Geometric Effect of Multiplying by a Reciprocal
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...
EngageNY
Surface Area II
Examine the surface area of composite figures using an exploratory approach. As a continuation of the previous lesson plan of the 29-part series, young scholars develop plans for finding the surface area of composite figures. Examples...
Curated OER
A Second View of Polar Coordinates
In this polar coordinates worksheets, students change ordered pairs from rectangular form to polar form. They plot and label points and identify alternative coordinate pairs for given points. There are approximately 20 problems on this...
Curated OER
Living in a Geometrical World
Students participate in a series of hand-on, online, and multimedia activities to examine 2 dimensional and 3 dimensional shapes. They describe common geometric solids. They construct rectangular prisms using straws and ribbon.
NOAA
Oceans of Energy
Are the earth's oceans really just giant batteries, waiting for their energy to be harnessed? Middle school mechanical engineers will be shocked by the amazing amount of energy that forms around them after diving into part four of a...