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...
Shodor Education Foundation
Polar Coordinates
Polar opposites might not work together—but polar coordinates do! The interactive provides learners the opportunity to graph trigonometric and algebraic functions using polar coordinates. The program takes either individual data points...
EngageNY
Exploiting the Connection to Cartesian Coordinates
Multiplication in polar form is nice and neat—that is not the case for coordinate representation. Multiplication by a complex number results in a dilation and a rotation in the plane. The formulas to show the dilation and rotation are...
Curated OER
Worksheet 39 - Polar Coordinates
In this polar coordinates worksheet, students graph polar coordinates and determine the values of a given series. This one-page worksheet contains 14 multi-step problems.
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
Connecting Algebra and Geometry Through Coordinates
This unit on connecting algebra and geometry covers a number of topics including worksheets on the distance formula, finding the perimeter and area of polynomials, the slope formula, parallel and perpendicular lines, parallelograms,...
Curated OER
Transformations in the Coordinate Plane
Your learners connect the new concepts of transformations in the coordinate plane to their previous knowledge using the solid vocabulary development in this unit. Like a foreign language, mathematics has its own set of vocabulary terms...
CK-12 Foundation
Plots of Polar Coordinates: Submarine Sonar
Find the location of enemy submarines with a sonar display that doubles as a polar coordinate system. Pupils find polar coordinates that would be the same location of plotted submarines. They then determine multiple polar coordinates...
CK-12 Foundation
Rectangular to Polar Form for Equations: Polar Coordinates
Plot points around a wheel. Pupils use an interactive tool to plot a point using polar coordinates with the aid of a wheel. Scholars use the interactive to answer five questions to finish the lesson. The resource provides background...
CK-12 Foundation
Distance Between Two Polar Coordinates: Exploring Changes in Angle and Radius
Get straight answers on a curved grid. An interactive has learners apply the Law of Cosines to find the distance between two points on the polar coordinate plane. The pupils use the radii lengths and the angle between the two radii to...
Curated OER
Dilations with Matrices
Examine dilation with matrices with your class. Learners write a conjecture for how the scale factor determines the size of an image. They then use their conjecture to write a matrix multiplication problem for the illustrated triangle...
Google
Midpoint and Distance Foldable
Support young mathematicians with learning the concepts of midpoint and distance with this foldable resource. Offering both graphic examples and written equations, this reference clearly demonstrates for students how these key terms...
National Council of Teachers of Mathematics
Stitching Quilts into Coordinate Geometry
Who knew quilting would be so mathematical? Introduce linear equations and graphing while working with the lines of pre-designed quilts. Use the parts of the design to calculate the slope of the linear segments. The project comes with...
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.
EngageNY
Distance and Complex Numbers 1
To work through the complexity of coordinate geometry pupils make the connection between the coordinate plane and the complex plane as they plot complex numbers in the 11th part of a series of 32. Making the connection between the two...
Curated OER
Describing Data
Your learners will practice many ways of describing data using coordinate algebra in this unit written to address many Common Core State Standards. Simple examples of different ways to organize data are shared and then practice problems...
Curated OER
Plotting Coordinates on a Cartesian Plane
Pupils practice identifying points on a coordinate plane, creating charts, and calculating ratios. In groups, students play a "battleship" game where they determine the location of their own fleet and attempt to find the location of the...
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
Cartesian Coordinates
For this Cartesian coordinates worksheet, 11th graders solve and complete 4 different multiple choice problems. First, they express each of the Cartesian coordinates provided as polar coordinates. Then, students find the Cartesian...
Curated OER
Coordinate Graphs, Translations and Reflections
Students perform translations and reflections. For this algebra lesson, students use the TI calculator to graph functions. They move the functions around on the coordinate plane using translation and reflection.
Curated OER
Worksheet 36-Spring 1996
In this math worksheet, students sketch the regions that give rise to three integrals. They find the volume of a solid in the first octant bounded by a defined cylinder and a parabaloid. Students change a function to polar coordinates....
Curated OER
Worksheet 20 - Derivatives
In this derivative worksheet, students solve functions, sketch the direction of the rate of change, and describe functions using polar coordinates. This two-page worksheet contains seven multi-step problems.
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...
Curated OER
Worksheet 38-Spring 1996
For this math worksheet, students determine if the definite integral of given functions exist. They use a Taylor polynomial to approximate given values. Students express the arc length of a graph on a polar coordinate system as an integral.
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