Pre-Service Mathematics Teacher
Calculus
Books
Websites & Apps
Book: Calculus of a Single Variable
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ISBN: 978-0618503049
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Summary:
This book is designed for Advanced Placement (A.P.) students in high school. "Calculus of a Single Variable" is set up to build students knowledge of calculus logically and in order. Students will first learn about limits, derivatives, and integrals, then they will apply these to the real-world. Word problems involving each concept are written into each lesson, even though there is an entire unit dedicated to it. Students will continue into calculus with series and sequences, ending at polar coordinates and equations.
Book: Bob Miller's High School Calc for the Clueless
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ISBN: 978-0071488457
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Summary:
This book is designed for the high school calculus student. This book is easy to read, with many real- world examples.
One person wrote "Professor Bob Miller, with more than 30 years' teaching experience, is a master at making the complex simple, and his now-classic series of Clueless study aids has helped tens of thousands understand the tough subjects. [...] (Bob Miller) presents high school calculus in a clear, humorous, and engaging way."
WolframAlpha
WolframAlpha is a computational software that can be accessed via website or app. It allows the user to input any equation, then it will solve and provide an answer. This is great for the calculus classroom! After students calculate integrals by hand, they can then turn to WolframAlpha. They can check their answer, and visually see a 3D graph of the integral.
NCTM Illuminations
NCTM is a great resource for math teachers! There are many different activities, worksheets, etc. that teachers can access and use for their lessons! Subject areas on this website span everything for general math to AP calculus! To view their website, click the link below!
Lesson Plans & Assessments
Finding Simple Derivatives Lesson Plan
Derivatives Review Activity
"Can You Teach It?"
Manipulatives
Solids with Known Cross Sections
These manipulatives are great visual aids to help students see areas under the curve when using the shell and disk methods! The teacher can make these ahead of time, or the students can do this as an activity. To view more about these, click on the link below!
Sticky Notes
Sticky notes are a great way to teach students about Riemann Sums! Students cut the sticky notes into strips. They then place the strips on the graph paper under the curve. From here, they measure and calculate the area of each rectangle to find the area under the curve. To view more on this, click the link below!
http://teachinghighschoolmath.blogspot.com/2018/01/teaching-riemann-sumsa-post-it-activity.html