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AP Test Prep13:57
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Flipped Math

Calculus AB/BC - Sketching Slope Fields

For Students 10th - 12th
Frolic through a field of slopes. Learners watch a video describing slope fields and how to create one. Scholars use given slope fields to determine the equation of a tangent line and the possible differential equation. Pupils continue...
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AP Test Prep10:08
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Flipped Math

Calculus AB/BC - Reasoning Using Slope Fields

For Students 10th - 12th
Find a solution in the field. An informative video presentation shows pupils how to use the information from a slope field to sketch the graph of a particular solution to a differential equation. Individuals learn how to determine the...
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AP Test Prep
College Board

AP Calculus: Slope Fields

For Teachers 10th - 12th
Ready to field questions about slope fields? An article on AP® Calculus teaching methods describes how to teach about slope fields to solve differential equations. It gives some sample problems to consider with the class and how to...
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Lesson Plan
Curated OER

Slope Fields

For Teachers 9th - 12th Standards
Students create and analyze slope fields. In this calculus activity, students create a visual of differential equations. They use the Ti Navigator to create slope fields.
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Lesson Plan
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University of Wisconsin

Measuring Slope for Rain Gardens

For Teachers 3rd - 12th
The slope of the land is an important feature when considering the erosion that will occur. In this resource, which is part of a rain garden unit, learners calculate the slope of the proposed garden site. Even if you are not planning a...
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Lesson Plan
Curated OER

Stars and Slopes

For Teachers 10th - 12th
More of a math lesson than physics or space science, high schoolers take a set of data and plot it on a log-log coordinate system. The write-up for day two was never completed, but day one, "Stars and Slopes," is complex and cohesive....
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Lesson Plan
Curated OER

What is an Antiderivative? Slope Fields

For Teachers 10th - 12th
Students take the derivative of a function. In this calculus lesson, students define slope fields and what they are used for. They relate slope fields to the real world.
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Lesson Plan
Curated OER

Slope Field Matching

For Teachers 11th - 12th
In this slope field worksheet, young scholars match the slope field with the matching differential equation. They sketch possible solution curves to match given initial conditions. This two-page worksheet contains approximately 14...
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Lesson Plan
Curated OER

Introduction to Slope Fields

For Teachers 11th - 12th
Students plot slope fields. For this introduction to slope fields lesson, students plot 12 slope fields for given differential equations.
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Worksheet
Curated OER

Slope Fields and Euler's Method

For Students Higher Ed
In this slope field worksheet, students use a slope field for a rate equation. Using Euler's Method, they identify the piecewise linear function approximating the solution of the initial value problem. This four-page worksheet contains...
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Lesson Plan
Curated OER

Slope Fields

For Teachers Higher Ed
In this slope field worksheet, students match the slope field to its correct differential equation. This one-page worksheet contains six problems.
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Lesson Plan
Curated OER

Slope Field Solutions

For Teachers 12th - Higher Ed
In this slope field worksheet, students draw possible solution curves to a differential equation. Three problems are provided on this on-page worksheet.
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Lesson Plan
Curated OER

Slope Fields

For Teachers 12th
Twelfth graders define and sketch slope fields. In this calculus instructional activity, 12th graders investigate solving differential equations through slope field graphs and algebraic equations. They use slope fields to check their...
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Worksheet
Curated OER

Differential Equations

For Students 12th - Higher Ed
In this differential equations worksheet, learners solve and complete 3 different parts of a problem. First, they sketch a slope field for the given differential equation on the axes provided. Then, students write an equation for the...
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Lesson Plan
Curated OER

Slope Fields

For Teachers 11th - 12th
Students sketch a slope field for a given differential equation, given a slope field. They also match a slope field to a differential equation and match a slope field to a solution of a differential equation. Finally, students use a...
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AP Test Prep
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Flipped Math

Calculus AB/BC - Unit 7 Review: Differential Equations

For Students 10th - 12th
Differentiate everyone's knowledge. Pupils work through nine review questions to highlight key concepts from Unit 7. Items range from finding slope fields and reasoning with them to finding general and particular solutions of...
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Worksheet
Curated OER

A.P. Calculus Integration Test

For Students 12th - Higher Ed
In this A.P. Calculus worksheet, students complete a sixteen question test covering trigonometric integration, area under a curve, differential equations, and slope fields.  Some of the problems are multiple choice, while others are...
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AP Test Prep
College Board

2006 AP® Calculus AB Free-Response Questions

For Students 10th - 12th
Develop more than just a topical approach to the exam. The six free-response questions from 2006 reveal how the AP exam assesses topics. By using the questions, pupils practice topics such as velocity, sketch slope fields, solving...
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Lesson Plan
Texas Instruments

Logistic Growth, Differential Equations, Slope Fields

For Teachers 12th Standards
Investigate differential equations with your class. They use the TI-89 to explore differential equations analytically, graphically, and numerically as the examine the relationships between each of the three approaches.
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Worksheet
Curated OER

Reviewing the First Unit

For Students Higher Ed
For this linear function worksheet, students explain how the linear function relates to direct proportionality. They answer questions dealing with slope fields, rate equations and illustrate Euler's Method. After answering six...
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AP Test Prep
College Board

2004 AP® Calculus AB Free-Response Questions Form B

For Students 10th - 12th
The test is not all about skills. The six free-response questions contain two real-world application problems. Those items deal with populations and velocities. The other four questions ask pupils to show their knowledge of calculus...
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Lesson Plan
Curated OER

Computing Indefinite Integrals

For Teachers 11th - Higher Ed
Provide your learners with a framework for introducing indefinite integrals. It takes into account a learner’s prior knowledge of slope fields and definite integrals and uses the notion of an antiderivative to give them an intuitive...
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Worksheet
Curated OER

SAT Grid Ins Practice Test 09

For Students 9th - 12th
In this SAT practice learning exercise, students solve 10 grid in problems.  Students find surface area, slope, mean, factors, etc.
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Worksheet
Curated OER

Variables and Slopes

For Students 7th - 10th
In this variable and slopes worksheet, students practice a warm-up activity involving variables V and X and using Euler's Method to solve a value problem.