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Curated OER

Integrated Algebra/Math B Regents Questions: Exponential Equations

For Students 9th - 12th
In this exponential equations activity, students solve 11 word problems in short answer and multiple choice format. Students write and solve exponential growth and decay problems given a word problem.
Interactive
Curated OER

The Method of U-Substitution

For Students 9th - 10th
In this calculus learning exercise, students solve problems using U-Substitution. They find antiderivatives  using indefinite integrals. There are 18 questions with an answer key.
Lesson Plan
Curated OER

Lesson #100 The Fundamental Theorem of Calculus and Area Under the Curve

For Teachers 11th - 12th
Students explore the Fundamental Theorem of Calculus and apply the properties of definite integrals to solving equations. As a class, they explore formulas to use in evaluating integral yields in regions above and below the x-axis....
Worksheet
Curated OER

Discussion Sheet 6: Exponential Growth

For Students Higher Ed
In this exponential growth worksheet, students integrate problems and determine exponential growth. This one-page worksheet contains twelve problems.
Worksheet
Curated OER

The Algebra of Summation Notation

For Students 9th - 11th
In this algebra worksheet, students use the summation notation correctly as they solve problems. They define the integral of a function and solve problems involving i. There are 14 questions with an answer key.
Lesson Plan
Curated OER

Inverse Trigonometric Functions (Review)

For Teachers 11th - Higher Ed
Students discuss the importance of inverse functions and derivatives. In this calculus lesson, students analyze inverse trig functions by solving for missing angles. They graph the functions and discuss integration by parts.
Worksheet
Curated OER

Using and Transforming Formulas

For Students 9th - 11th
In this algebra worksheet, students apply the properties of transformation as they solve equations. They identify which equation is true and similar. There are 20 questions with an answer key.
Worksheet
Curated OER

Integrated Algebra Practice: Square Roots

For Students 8th - 10th
In this square roots worksheet, learners calculate the square roots of whole numbers and rational numbers. Seven problems have multiple choice answers. The remaining 13 problems are short answer. One problem involves graphing a function....
Lesson Plan
EngageNY

What Is Area?

For Teachers 9th - 10th Standards
What if I can no longer justify area by counting squares? Lead a class discussion to find the area of a rectangular region with irrational side lengths. The class continues on with the idea of lower approximations and...
Lesson Plan
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Kenan Fellows

Introduction to a Flight Computer

For Teachers 9th - 12th Standards
Keep your hands on the wheel—at all times! Scholars learn why pilots use a flight computer through a high-flying demonstration. Making calculations for speed, distance, or time is automatic if you know how to use a flight computer. 
Unit Plan
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Mathematics Vision Project

Circles and Other Conics

For Teachers 10th - 12th Standards
Through a variety of hands-on activities and physical scenarios, this far-reaching unit leads learners through an exceptionally thorough exploration of circles and parabolas as conic sections. Geometric construction techniques are used...
Lesson Plan
EngageNY

There is Only One Line Passing Through a Given Point with a Given Slope

For Teachers 8th Standards
Prove that an equation in slope-intercept form names only one line. At the beginning, the teacher leads the class through a proof that there is only one line passing through a given point with a given slope using contradiction. The 19th...
Worksheet
Curated OER

The Io Plasma Torus

For Students 11th - 12th
For this plasma torus worksheet, students solve 5 problems including finding the dimensions of the Io torus, determining the formula for the volume of a torus, finding the actual volume of the Ion torus and finding the amount of sodium...
Lesson Plan
Curated OER

Finding the Area of Regular Polygons

For Teachers 9th - 12th Standards
Students analyze relationship between the increase in polygons sides and a circle. In this geometry lesson, students relate the size of the central angle of a polygon, to a circle. They compare the formula for the area of a polygon and a...
Worksheet
Curated OER

Calculating Arc Lengths of Simple Functions-I

For Students 10th - Higher Ed
In this calculating arc lengths activity, students are given 4 simple functions and they use the Pythagorean Theorem and the basic techniques of calculus to find the arc-length formula in order to find the arc-length.
Lesson Plan
Curated OER

Pythagoreum Theorem

For Teachers 6th - 8th
Middle schoolers practice assessing how to apply the formulas for the area of parallelograms and triangles. They recount the contributions of Pythagoras and apply the theories of the Pythagorean theorem in a group project to calculate...
Worksheet
Curated OER

Radicals and the Irrational Numbers

For Students 9th - 10th
In this Integrated Algebra worksheet, students differentiate between rational and irrational numbers and locate irrational numbers on a number line.  The one page worksheet contains six problems.  Answers are provided. 
Lesson Plan
Curated OER

Let's Keep Track of Grades

For Teachers 7th - 8th
Students participate in a technology project. This lesson is a hands-on spreadsheet project where students are responsible for keeping track of their grades for class. The students learn to enter data into a spreadsheet, create...
Worksheet
Curated OER

The Internal Density and Mass of the Sun

For Students 9th - 12th
In this sun worksheet, high schoolers read about calculating the internal density and mass of the sun. Students use a given formula for the internal density of the sun's gases which high schoolers use to solve four mathematical problems.
Worksheet
Curated OER

Factoring the Difference of Squares

For Students 8th - 10th
In this algebra worksheet, learners factor special equations using difference of squares. They follow the formula to factor. There are 9 questions with an answer key.
Lesson Plan
Curated OER

Properties of Matter (Biomaterial Through Nanotechnology)

For Teachers 9th - 10th
Learners investigate friction between different surfaces. In this physics lesson, students research biomaterials that can reduce friction. They calculate efficiency using a mathematical formula.
Lesson Plan
Curated OER

Excel for Beginners

For Teachers 4th - 5th
In this Excel lesson, students set a formula to check their homework. Students also use clipart, work in groups, and learn to use the tools in the drop-down list.
Lesson Plan
Curated OER

Area and Perimeter of Polygons

For Teachers 10th
In this geometry worksheet, 10th graders calculate the perimeter and area using the specific formula for that polygon. There are 5 questions with an answer key.
Worksheet
Curated OER

Precalculus Exam

For Students 11th - 12th
In this precalc lesson, students write out definitions, identify functions, solve integrals and derivatives and graph trig functions as they relate to angles. This is a final exam for precalculus. There are 80 questions on this exam.