Curated OER
Worksheet 34 - Antiderivatives
In this antiderivative worksheet, students compute antiderivatives, as well as definite and indefinite integrals. This one-page worksheet contains approximately six multi-step problems.
Curated OER
Computing Indefinite Integrals
Provide your students 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...
Project Maths
Integral Calculus
From derivatives to antiderivatives and back again. Building on the second lesson of the three-part series covering functions, learners explore the concept of an antiderivative. They connect the concept to the graph of the function and...
Curated OER
Worksheet 32 - Antiderivative
In this antiderivative worksheet, students determine the antiderivative by using substitution. They evaluate integrals. This one-page worksheet contains approximately six multi-step problems.
West Contra Costa Unified School District
Indefinite Integrals
The inverse of matter is anti-matter, so the inverse of a derivative is an antiderivative. The lesson introduces antiderivatives and indefinite integrals to the class along with the notation for integrals. Groups work together to find...
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
Worksheet 31 - Doman & Range
In this function worksheet, students determine the domain and range of given functions. They use trigonometric ratios to determine if a statement is true or false. Students differentiate equations. In this one-page worksheet, students...
Curated OER
Euler Encore 1
In this math worksheet, students use Euler's Method to solve differential equations. They are given an equation to graph (y'). Students sketch that equation as well as the related equation (y). They find the area of given rectangles and...
Curated OER
Trig Derivatives, etc.
For this trigonometric worksheet, learners differentiate functions and find the antiderivative of functions. This two-page worksheet contains approximately 20 problems.
Curated OER
The Second Fundamental Theorem of Calculus
Students investigate the fundamental theorem of calculus. In this calculus lesson, students derive the fundamental theorem of calculus. They differentiate between the first and second theorem.
Curated OER
Slope Fields
Students create and analyze slope fields. For this calculus lesson, students create a visual of differential equations. They use the Ti Navigator to create slope fields.
Curated OER
Piecewise Linear Integral
Young mathematicians solve and graph piecewise functions in this calculus lesson. They integrate linear functions containing restrictions and graph their answers using the TI.
Curated OER
Applied Fundamental Theorem of Calculus
Students apply the Fundamental Theorem of Calculus. In this calculus lesson, students identify the graphical connections between functions and accumulation functions. They use a TI to represent the functions.
Curated OER
Introduction to Slope Fields
Young scholars plot slope fields. In this introduction to slope fields lesson, students plot 12 slope fields for given differential equations.
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...