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Calculus AB/BC Unit 4 Review: Analytical Applications of Differentiation
It's nice to know that there are actual real-world uses of derivatives. Scholars review their knowledge of the applications of derivatives from the unit. They work on a set of practice problems to test their understanding.
EngageNY
End-of-Module Assessment Task: Pre-Calculus Module 4
Challenge your scholars to show what they know about the Law of Sines, Law of Cosines, and inverses. The six-question assessment is the last in a series of 16. Pupils find the area of triangles and show that the Law of Sines and Law of...
Curated OER
Using a "Natural Function" not a equation to discuss derivatives
In this derivative instructional activity, students relate the concept of the derivative to the "real world" model of seasons. Students are then asked to discuss zeros, increasing values, decreasing values, and critical values of...
Illustrative Mathematics
Influenza epidemic
This activity presents a real-world problem about an epidemic of influenza spreading through a city. Learners refer to a graph that shows the number of individuals infected in relation to the number of weeks that have elapsed since...
Curated OER
Integration
In this calculus worksheet, 12th graders use integration to find the area under a graph. They use integration to solve real world problems. There are 4 different sections with their own problems.
Curated OER
Applications of Parabolas
In this algebra worksheet, 11th graders rewrite word problems using algebraic symbols. They relate parabolas to the real world and calculate the breaking distance using the distance formula they come up with. There is answer key.
Curated OER
Exploration 1: Instantaneous Rate of Change Function
In this function worksheet, students read word problems and write functions. They determine the instantaneous rate of change and identify intervals. This three-page worksheet contains approximately 20 problems.
Illustrative Mathematics
Tides
A very simple example of a functional relationship between depth of water and time is shown here. In fact, it might be more useful to use a coastal tide book to better illustrate this real-world experience. Pupils are to count the number...
Curated OER
Working with Rates of Change
In this calculus learning exercise, students problem solve 8 word problems involving rates of change in association with high school students. Students work out each problem and give a short explanation of each answer.