Flipped Math
Calculus AB/BC - Sketching Slope Fields
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...
Flipped Math
Calculus AB/BC - Reasoning Using Slope Fields
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...
College Board
AP Calculus: Slope Fields
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...
Curated OER
Slope Fields
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.
University of Wisconsin
Measuring Slope for Rain Gardens
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...
Curated OER
Stars and Slopes
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....
Curated OER
What is an Antiderivative? Slope Fields
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.
Curated OER
Slope Field Matching
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...
Curated OER
Introduction to Slope Fields
Students plot slope fields. For this introduction to slope fields lesson, students plot 12 slope fields for given differential equations.
Curated OER
Slope Fields and Euler's Method
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...
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.
Curated OER
Slope Field Solutions
In this slope field worksheet, students draw possible solution curves to a differential equation. Three problems are provided on this on-page worksheet.
Curated OER
Slope Fields
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...
Curated OER
Differential Equations
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...
Curated OER
Slope Fields
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...
Flipped Math
Calculus AB/BC - Unit 7 Review: Differential Equations
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...
Curated OER
A.P. Calculus Integration Test
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...
College Board
2006 AP® Calculus AB Free-Response Questions
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...
Texas Instruments
Logistic Growth, Differential Equations, Slope Fields
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.
Curated OER
Reviewing the First Unit
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...
College Board
2004 AP® Calculus AB Free-Response Questions Form B
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...
Curated OER
Computing Indefinite Integrals
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...
Curated OER
SAT Grid Ins Practice Test 09
In this SAT practice learning exercise, students solve 10 grid in problems. Students find surface area, slope, mean, factors, etc.
Curated OER
Variables and Slopes
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.