Lesson Plan
EngageNY

Distance and Complex Numbers 2

For Teachers 11th - 12th Standards
Classmates apply midpoint concepts by leapfrogging around the complex plane. The 12th instructional activity in a 32 segment unit, asks pupils to apply distances and midpoints in relationship to two complex numbers. The class develops a...
Lesson Plan
Curated OER

Trigonometric Form of Complex Numbers

For Teachers 11th - 12th Standards
This lesson plan is written from the perspective of a student teacher. A step by step lesson plan in which the class works on the trigonometric form of complex numbers. They convert between trigonometric and complex forms. They will also...
Unit Plan
EngageNY

Complex Numbers and Transformations

For Teachers 11th - 12th Standards
Your learners combine their knowledge of real and imaginary numbers and matrices in an activity containing thirty lessons, two assessments (mid-module and end module), and their corresponding rubrics. Centered on complex numbers and...
Lesson Plan
EngageNY

Linear Transformations Review

For Teachers 11th - 12th Standards
Time for matrices and complex numbers to come together. Individuals use matrices to add and multiply complex numbers by a scalar. The instructional activity makes a strong connection between the operations and graphical transformations.
Lesson Plan
EngageNY

The Geometric Effect of Multiplying by a Reciprocal

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

Operations of Complex Numbers and Intro to DeMoivre's Theorem

For Teachers 9th - 10th
Students solve problems with complex numbers. In this algebra lesson, students factor complex numbers and simplify equations using DeMoivre's Theorem. They add, subtract, multiply and divide using negative roots.
Lesson Plan
EngageNY

Matrix Multiplication Is Not Commutative

For Teachers 11th - 12th Standards
Should matrices be allowed to commute when they are being multiplied? Learners analyze this question to determine if the commutative property applies to matrices. They connect their exploration to transformations, vectors, and complex...
Lesson Plan
Curated OER

Complex Roots: A Graphical Solution

For Teachers 9th - 12th Standards
Using their Ti-Nspire to determine the solutions of parabolas, students explore the concept of complex roots.  Students determine if parabolas have real or complex roots.  Students determine the the axis of symmetry and the...
Lesson Plan
Curated OER

Precalculus Pretest

For Teachers 9th - 11th
Students complete a pretest as practice for their review. In this precalculus lesson, students find the distance between points and the trigonometric identity of the sine, cosine and tangent. They solve problems using complex and...
Lesson Plan
Curated OER

Going Back to Your Roots

For Teachers 9th - Higher Ed Standards
Investigate the Fundamental Theorem of Algebra and explore polynomial equations to determine the number of factors, the number of roots, and investigate multiplicity of roots.
Lesson Plan
EngageNY

Coordinates of Points in Space

For Teachers 11th - 12th Standards
Combine vectors and matrices to describe transformations in space. Class members create visual representations of the addition of ordered pairs to discover the resulting parallelogram. They also examine the graphical representation...
Lesson Plan
Curated OER

More of DeMoivre's Theorem

For Teachers 10th - 11th
Students identify DeMoivre's Theorem. In this precalculus instructional activity, students derive the law of sine and cosine as it relates to DeMoivre's Theorem. They identify the best time to use these formulas.
Lesson Plan
Curated OER

Law of Sines and Cosines

For Teachers 10th - 11th
Students solve problems using sine and cosine. In this precalculus activity, students apply the properties of sine and cosine to solve non-right triangle problems. They use Heron's Law to find the area of a shape.
Lesson Plan
Curated OER

Sine and Cosine

For Teachers 11th - 12th
Students solve problems using sine and cosine. In this precalculus lesson, students solve word problems using sine and cosine. They identify where it is appropriate to laws of sine and cosine and where to use the Pythagorean Theorem.
Lesson Plan
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EngageNY

Solving General Systems of Linear Equations

For Teachers 11th - 12th Standards
Examine the usefulness of matrices when solving linear systems of higher dimensions. The lesson plan asks learners to write and solve systems of linear equations in four and five variables. Using matrices, pupils solve the systems and...
Lesson Plan
Curated OER

Quadratic Equations with Complex Coefficients

For Teachers 11th - Higher Ed
Students solve and graph quadratic equations. In this algebra activity, students perform basic operation using addition, subtraction, multiplication and division. They compute the quadratic formula.
Lesson Plan
Curated OER

Law of Sine and Cosine

For Teachers 9th - 10th
Pupils solve problems using the law of sine and cosine. In this precaclulus lesson, students learn the law of DeMoivre's Theorem and Heron's theorem. They use both theorems to solve problems.