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Alabama Learning Exchange

Classifying Complex Numbers

For Teachers 10th - 12th Standards
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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Lesson Plan
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Curated OER

Dog Pen Problem

For Teachers 9th - 12th Standards
Teach your class about various approaches to solving the problem of maximizing the area of a rectangle space with a fixed perimeter in the context of a farmer's dog pen. Then, they complete a worksheet independently to summarize the...
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Lesson Plan
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Alabama Learning Exchange

Imaginary Numbers? What Do You Mean Imaginary?

For Teachers 9th - 12th Standards
Don't worry, this resource actually exists. Scholars learn about imaginary numbers and work on problems simplifying square roots of negative numbers. As an extension, they research the history of imaginary numbers.
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Lesson Plan
1
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Curated OER

Solving Systems Using Matrices

For Teachers 9th - 11th Standards
Explore the concept of systems of equations in two variables and use matrices to solve them. Young mathematicians enter coefficients and constants into a matrix and then solve using row reduction. Instructions on how to use the shortcut...
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Lesson Plan
Texas Instruments

Complex Numbers: Plotting and Polar Form

For Teachers 9th - 12th Standards
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.
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Lesson Plan
1
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Curated OER

Operating on Matrices

For Teachers 9th - 12th Standards
Learners investigate matrices by exploring addition, subtraction and multiplication of matrices.  High schoolers find the determinant and inverse of a matrix.  The lesson includes a set of practice problems
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Lesson Plan
Curated OER

Watch Your P's and Q's

For Teachers 9th - 12th Standards
Using your graphing calculator, find all the rational zeroes of a polynomials by using the Rational Zero Theorem. Divide polynomials using the Remainder Theorem and the Factor Theorem and then graph it to find the number of real roots.
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Lesson Plan
Curated OER

Application of Completing the Square

For Teachers 9th - 12th Standards
A TI technology activity that helps learners to recognize and use the characteristic of a perfect square quadratic to complete the square. Additionally, they apply their knowledge to solve real-world problems.
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Lesson Plan
EngageNY

Trigonometry and the Pythagorean Theorem

For Students 9th - 11th Standards
Ancient Egyptians sure knew their trigonometry! Pupils learn how the pyramid architects applied right triangle trigonometry. When comparing the Pythagorean theorem to the trigonometric ratios, they learn an important connection that...
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Lesson Plan
EngageNY

Trigonometry and Complex Numbers

For Teachers 11th - 12th Standards
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 argument...
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Lesson Plan
EngageNY

Special Triangles and the Unit Circle

For Teachers 11th - 12th Standards
Calculate exact trigonometric values using the angles of special right triangles. Beginning with a review of the unit circle and trigonometric functions, class members use their knowledge of special right triangles to find the value of...
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Lesson Plan
EngageNY

Properties of Trigonometric Functions

For Teachers 11th - 12th Standards
Given a value of one trigonometric function, it is easy to determine others. Learners use the periodicity of trigonometric functions to develop properties. After studying the graphs of sine, cosine, and tangent, the lesson connects them...
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Lesson Plan
02 x 02 Worksheets

Absolute Value Equations and Inequalities

For Students 9th - 12th Standards
Demonstrate the meaning of an absolute inequality using three different methods. Here, scholars explore absolute value inequalities through graphing, number line distance, and compound inequalities. Pupils complete various activities to...
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Lesson Plan
Alabama Learning Exchange

Complex Numbers Solutions

For Students 9th - 12th Standards
Complex doesn't have to mean harder! Learners experiment with online software to determine the quadratic equations with complex solutions. They use the quadratic formula to solve equations with both real and complex solutions.
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Unit Plan
Mathematics Vision Project

Module 5: Rational Functions and Expressions

For Students 10th - 12th Standards
Where do those asymptotes come from? Learners graph, simplify, and solve rational functions in the fifth module of a 10-part series. Beginning with graphing, pupils determine the key characteristics of the graphs including an in-depth...
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Handout
West Contra Costa Unified School District

Using Derivatives to Graph Polynomials

For Teachers 11th - Higher Ed
You can learn to graph as well as a calculator using calculus. The lesson introduces using derivatives to find critical points needed to graph polynomials. Pupils learn to find local maximums and minimums and intervals of increase and...
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Lesson Plan
Curated OER

Very Varied - Inverse variation

For Teachers 8th - 11th
Students identify inverse variations. In this inverse variation lesson plan, students explore graphs and identify the inverse variation. They write equations for the inverse variation. Students compare and contrast the inverse...
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Lesson Plan
Curated OER

Hassan's Pictures - Linear Programming and Profit Lines

For Teachers 9th - 11th
Students graph systems of linear inequalities. In this linear programming and profit lesson, students explore linear programming problems. They graph a feasible region in a linear programming problem and identify the profit lines. ...
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Lesson Plan
West Contra Costa Unified School District

Derivative Theorems

For Teachers 11th - Higher Ed
Put all of the derivative rules into one basket. The lesson stars with warm-up exercises that provide a connection to previously learned concepts. The lesson plan uses the different derivative theorems to calculate a variety of...
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Lesson Plan
EngageNY

Vectors and the Equation of a Line

For Students 11th - 12th Standards
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...
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Lesson Plan
Curated OER

Lesson Plan 1: Up, Down, Right, Left - Function Families

For Teachers 8th - 10th
Students work in small groups to draw the trajectory of several scenarios. They label parts of the resulting parabola (vertex, axis of symmetry). Students complete four stations to explore quadratic functions.
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Worksheet
Curated OER

Relation, Function, Domain, & Range

For Students 9th - 12th
In this relation, function, domain, and range worksheet, students answer 6 open-ended questions about relations and functions.  Students determine the domain and range of a function.  Students give examples and non-examples of functions.
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Lesson Plan
Curated OER

Transforming Snoopy Using Coordinates

For Teachers 6th - 8th
Students graph coordinate points to create a picture of Snoopy. In this coordinate point lesson, students read a book and learn about Rene Descartes' invention, the coordinate grid.  Students graph a surprise picture on Geometer's...
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Lesson Plan
EngageNY

Analyzing Decisions and Strategies Using Probability 2

For Students 11th - 12th Standards
Explore how to compare and analyze different strategies. In the 20th installment of a 21-part module, scholars continue their analysis of decisions and strategies from the previous lesson plan. They then extend this concept to hypothesis...

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