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Curated OER
Slope Field Solutions
In this slope field worksheet, learners draw possible solution curves to a differential equation. Three problems are provided on this on-page worksheet.
Curated OER
Slope Fields
In this slope field worksheet, students match the slope field to its correct differential equation. This one-page worksheet contains six problems.
Mathematics Vision Project
Structures of Expressions
This comprehensive unit investigates transformations of quadratics, having learners follow "Optima" through the development and growth of her quilting business. Deftly weaving the story into the mathematical mechanics, the unit gives...
Curated OER
Word Problem Practice Workbook
Need worksheets that challenge your middle schoolers to apply their understanding of math? Problem solved! From integers, fractions, and percents, to algebra, geometry, and probability, over 100 pages of word problem worksheets...
Achieve
Spread of Disease
Viruses can spread like wildfire, and mathematics can model the speed of infection. Given a function, scholars analyze it to describe the spread of a disease within a stadium. Learners find the initial number infected and the maximum...
CK-12 Foundation
Scientific Models: Mathematical, Physical and Conceptual
This is one super model interactive! Middle and high school science scholars examine scientific models through a simple resource. Guided, hands-on practice allows them to classify conceptual, mathematical, and physical models. Other...
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Complex Analysis: Analyticity and Harmonic Functions
In this harmonic function worksheet, students summarize the theorems on analyticity, differentiability and the Cauch-Rieman equation. They identify the characteristics of a harmonic function. This three-page worksheet contains...
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Roller Coaster Robot
Students calculate the area under a curve. In this calculus lesson plan, students use Riemann sums to find and approximate the area under a curve. They use the derivative and differential equations to solve.
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Worksheet 6
For this math worksheet, students solve the differential equations. They also investigate Newton's Law of Cooling. Then they consider the temperature of different substances like coffee.
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Maximum/ Minimum Problems
In this optimization worksheet, students solve 20 short answer word problems. Students read, sketch, define variables, write equations, differentiate their equations, and find the maximum or minimum of each word problem.
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Exponential Functions
Analyze functions by their shape and equation and identify decay and growth based on the equation given. Learners graph their exponential functions and differentiate it using the logarithmic versus the exponential function.
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Crash Course in Flight
High school physicists demonstrate Bernoulli's Principle by blowing on different items and finding that they do not move in the expected direction! They apply Bernoulli's equation to the flight of an airplane. This well-organized lesson...
Virginia Department of Education
Determining Direct Variation
Once learners realize what direct variation is, they see it's just a type of linear function. The lesson poses a general question that leads to the creation of the y = kx formula. The resource includes discussion prompts and ideas for...
Curated OER
Zeros of a Cubic
Mathematicians explore cubic functions by learning how to investigate the relationship between the x-coordinates of the three zeros of a cubic function. The lesson also contains an application of differentiation.
National Institute of Open Schooling
Chemical Arithmetics
Substances with the same empirical and molecular formula must be differentiated by their structural formula. Part two in a series of 36 has pupils using chemical formulas to calculate how much of a compound is present in a given...
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Worksheet 7: Slope and Tangents
Providing both review and practice problems, this worksheet prompts students to answer five questions having to do with slope, tangents lines, graphing, the Squeeze Theorem, differentiable functions and derivatives. This activity could...
Noyce Foundation
Tri-Triangles
Develop an understanding of algebraic sequences through an exploration of patterns. Five leveled problems target grade levels from elementary through high school. Each problem asks young mathematicians to recognize a geometric pattern....
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Higher Order Taylor Polynomials
In this polynomial worksheet, students approximate values of linearly using the tangent line. They use first and second-degree polynomials to find the equation of a line tangent to a graph. Students explore Taylor's Theorem. This...
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The Meaning of Algebraic Expressions
Students define equations and expressions. For this algebra lesson, students review important vocabulary words to do with equations and solving problems. They simplify equations and expressions using addition, subtraction, multiplication...
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Multivariable Calculus/ Bonus Quiz 11
In this math worksheet, students practice finding the solutions to the problems that focus upon the differential operators of vector fields.
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Using Linear Algebra to Solve Systems of ODE's
In this math worksheet, students examine the coupled differential equations. Then they find the eigenvalues and eigenvectors for the 2x2 matrix.
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A.P. Calculus Exam Prep
In this A.P. Calculus exam practice test, students answer 28 multiple choice questions. Questions cover a wide variety of topics. Students tell the position of a particle moving along a horizontal line. They identify the solution to a...
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Basic Calculus II: Techniques of Integration
In this differentiation worksheet, students select from a list of differentiation rules which one they have to use to find the derivative of the given equation. They evaluate one integral exactly.
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An Introduction to Measuring Theory
Students investigate one, two and three dimensional objects. In this algebra lesson, students differentiate between different shapes of objects and write equations to represent each. They start with what they already know and prove...