Curated OER
Introduction to Conic Sections
Learners slice cones and identify the different conics formed. They then derive the formula to solve problems involving cones. Pull out the TI calculators to visualize the slicing and the different parts and properties created.
Curated OER
Compound Interest
Pupils analyze the variables in the formula of a compound interest. They model the increase or decrease of an investment using compound interest and discuss different compounding periods.
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Quadratic Equations with Complex Coefficients
Learners solve and graph quadratic equations. In this algebra lesson, students perform basic operation using addition, subtraction, multiplication and division. They compute the quadratic formula.
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Basic Matrix Algebra
Students perform basic matrices operations. In this algebra lesson, students add, subtract, multiply and divide matrices. They solve system of equations using matrices.
Alabama Learning Exchange
Ellipse
Students explore the concept of ellipses. In this ellipses lesson, they construct ellipses on their paper and follow directions on a worksheet that allow them to investigate an ellipse in more depth by looking at the major axis, foci, etc.
Curated OER
Perfect Shuffles
Students investigate piecewise functions. For this algebra lesson, students model piecewise functions in the real world. They graph the parts of the functions following the restrictions of the domain.
Curated OER
Products of Linear Functions
Students investigate the horizontal intercepts of functions. In this algebra lesson, students identify whether the factor of two functions results in a quadratic equation or not. They compare and contrast linear equations and higher...
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Students use fundamental counting principle to compute combinations and permutations
Students define Pascal's triangle and special notations used to represent nth elements. For this geometry lesson, students solve problems using permutations and combinations. They compare the formula for permutation to that of Pascal's...
Curated OER
Line of Best Fit
High schoolers explore the concept of linear regression. In this linear regression lesson, students do a Barbie bungee activity where they collect linear data. High schoolers plot their data using a scatter plot. Students determine a...
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Operations of Complex Numbers and Intro to DeMoivre's Theorem
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.
Curated OER
Model Data with Quadratic Functions
Students model data using quadratic equations. In this algebra lesson, students simplify and factor quadratic equations. They graph the function using collected data and analyze the parabola.
Curated OER
Pythagorean Theorem
Learners solve problems using the Pythagorean Theorem. In this geometry lesson, students identify the sides and angles of a right triangle. They find the different trigonometric ratios and solve using sine, cosine and tangent.
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Exploring Trigonometric Ratios
Students calculate the different ratios using a right triangle. In this trigonometry lesson, students identify the sine, cosine and tangent of each side. They find the missing angles using the different ratios.
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Some More Trigonometry
Students define the law of cosine and its correct usage. In this trigonometry lesson, students define the law of Heron's area formula and use it to solve problems. They review other trigonometric values and identify the identities.
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The Quest For Power
Students investigate and apply properties of math. In this algebra and physics lesson, students define important vocabulary words to create a basic understanding of keywords. They perform experiments using concepts of electricity and math.
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Unit Circle Triangle
Students find the different ratios of a right triangle. In this geometry lesson plan, students apply the concept of the Pythagorean theorem as they identify the different angles and parts of a Unit Circle. They find the ratios of sine,...
Curated OER
Rose Curve
Arcsine will be better understood and applied through prediction the number of petals on a rose curve using polar equations. Students relate rose curve to siusoidal functions using the Ti navigator.
Curated OER
Engineering in a Calculus Classroom
Young scholars solve several differential equations. In this calculus lesson, students test their modulus calculation by testing different weights or beam lengths. They share their findings in class.
EngageNY
Law of Sines
Prove the Law of Sines two ways. The ninth segment in a series of 16 introduces the Law of Sines to help the class find lengths of sides in oblique triangles. Pupils develop a proof of the Law of Sines by drawing an altitude and a second...
EngageNY
Law of Cosines
Build upon the Pythagorean Theorem with the Law of Cosines. The 10th part of a 16-part series introduces the Law of Cosines. Class members use the the geometric representation of the Pythagorean Theorem to develop a proof of the Law of...
EngageNY
Matrix Multiplication Is Not Commutative
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...
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
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 number. Groups...
EngageNY
Composition of Linear Transformations 2
Scholars take transformations from the second to the third dimension as they extend their thinking of transformations to include three-dimensional figures. They explore how to use matrices to represent compositions of transformations.