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Lesson Planet: Curated OER

#### Pre-Calculus Review Sheet

Pre-Calculus has some detailed formulas involved and here is a great resource that lumps then all together for you. Broken up into rectangular, polar, and parametric sections, the conics all include formulas and graphs.

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#### Vectors

Complex numbers bridge so many concepts as learners edge into higher-level math. Here, their polar and rectangular forms link through vector notation, and the arithmetic of vectors is born. These basic math skills translate into a...

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#### Polar Graphs

The world of graphing polar graphs is filled with beautiful curves and patterns once a young mathematician masters a few basic techniques. This comprehensive resource covers many of these techniques and resulting shapes, from the basic...

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#### Precalculus

Take a step beyond Algebra 2. Learners use the eBook to learn concepts from the typical Precalculus course. Content starts off with a short review of functions in general and moves on to the basic functions, finishing up with more...

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#### A Cardioid for Valentine’s Day

It's Valentine's Day in geometry class! Celebrate the day of love with a heart-themed activity in which young mathematicians create a cardioid on polar graph paper.

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#### Classifying Complex Numbers

Imaginary numbers are a real thing. Scholars learn about complex numbers, real numbers, and imaginary numbers. They classify given numbers as strictly complex, strictly real, or strictly imaginary in an individual or group activity.

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#### Two Variable Function Pump

Use a function to operate on two variables. Pupils look at operating with complex numbers as a function of two variables. The interactive squares the input and adds a constant to it. Learners visualize the resulting output and its...

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#### 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...

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#### 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...

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#### Trigonometric Form of Complex Numbers

Represent complex numbers in two ways. Pupils use the interactive to convert polar and rectangular representations of complex numbers. The learners drag an overlay back and forth over the coordinate plane to reveal the polar coordinates...

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#### 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...

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#### Introduction to Polar Coordinates - Concept

Learning polar coordinates does not require visiting the North Pole, though explaining igloos is much easier using polar coordinates. The lesson begins with a video explaining how to find coordinates on a spherical plane and how to...

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#### Imaginary Numbers

Here is a worksheet that takes all aspects of quadratic functions and incorporates imaginary numbers into the problems. The problems range from simplifying to graphing and solving by using a variety of methods with imaginary and complex...

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#### Imaginary Numbers Are Real (Part 7: Complex Multiplication)

Multiplying complex numbers geometrically is complicated. Find an easier way with a short video that explains the process of multiplying complex numbers on the complex plane. The connection with the process and the angles and moduli sets...

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#### Imaginary Numbers Are Real (Part 5: Numbers are Two Dimensional)

If the square root of negative one exists, where is it on the number line? A math video presents a geometric representation of complex numbers and the complex plane, and then compares it to the geometric representation of real numbers —...

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#### Complex Number Operations

What do animated videos have to do with mathematics? Using operations of complex numbers and their representations on the complex plane, high schoolers observe how mathematics could be used to move animations. The lesson provides an...

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#### Trigonometry

This trigonometry textbook takes the learner from a basic understanding of angles and triangles through the use of polar coordinates on the complex plane. Written by a mathematician-engineer, examples and problems here are used to...

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#### Unit 8 Review Packet: Polar Coordinates, Polar Graphs, and Vectors

Tying together an introductory unit on polar coordinates, graphs, and vectors is often a daunting task. So many nuanced math skills develop through these lessons that making sure an assessment hits them is difficult, to say the least....

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#### Polar Coordinates

Graphing outside of the Cartesian plane is a unique challenge for many students, particularly the part where they need to convert (x, y) coordinates into polar form. Enter this lesson and corresponding worksheet covering the basics of...

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#### 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...

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#### Rationalize an Imaginary Denominator with Conjugate Method

Explore a procedure for rationalizing a denominator that includes imaginary terms with a video that shows how to use a conjugate when working with fractions. The narrator explains the process from start to finish with each step shown in...

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#### Imaginary Numbers

Scholars learn to use their imagination in math class! The tutorial explains the origin of the number i and then simplifies expressions that include imaginary numbers. The examples include i raised to different powers, giving viewers...

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#### Complex Numbers in Polar Form; DeMoivre’s Theorem

The iconic links between trig functions and complex numbers are introduced in a lesson on the basic properties of complex numbers in polar form. Quickly progressing through the polarization of complex coordinates, a bulk of the worksheet...

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#### Trigonometric Form of Complex Numbers

This instructional activity is written from the perspective of a student teacher. A step by step instructional activity in which the class works on the trigonometric form of complex numbers. They convert between trigonometric and complex...