The students often create charts to explain the work they have been doing on classroom handouts. This gives them a chance to explain their work, and is important in reinforcing what they have learned, practicing literacy skills, and being comfortable … Continue reading

# pbenson

Written solutions are available at the AP Exam question bank. Whiteboard screencasts for these problems: 2007 AP Free-response Form B, problem 1 2007 AP Free-response Form B, problem 2 2007 AP Free-response Form B, problem 3 If you would like … Continue reading

Here are some convenient number line graphics you can print or insert into your own documents. Wall poster from -15 to 15, to be printed on 31 sheets of 8.5x11. -15 to 15 in PNG format -15 to 15 in … Continue reading

The spreadsheets below contain randomly generated practice questions. To generate a new practice sheet on a Mac, type command-shift-=; on Windows, press F9. Single digit integer addition and subtraction practice spreadsheet. Single digit integer multiplication practice spreadsheet. Single digit integer … Continue reading

We use the second edition of this reformed calculus text for Calculus AB at Ypsilanti High School. Solutions to problems p 176, #6 p 176, #10 … Continue reading

Aristotle believed that heavier objects naturally fall faster than lighter objects. His theory was no doubt based on what he observed. But he was not able to observe objects falling in a near-vacuum. Below are videos that show just this, … Continue reading

Polynomial calculus introduces the concepts of differentiation and integration through algebraic and geometric arguments. The rationale is that the notion of limits and differentials are not needed at the outset to illuminate the ideas. From the introduction to the Polynomial … Continue reading

Springs can be stretched or compressed, and when this happens, they have potential energy. That energy is transformed into kinetic energy as the spring returns to its rest position. This lab allows students to observe a moving object encounter a … Continue reading

This lab can be used to observe the behavior of a brick sliding down a ramp. This complements the study of free body diagrams.

This lab can be used to investigate the relationship between velocity and the height above ground. We use it when studying potential and kinetic energy.

This lab can be used to investigate the relationship between velocity and the height above ground. We use it when studying potential and kinetic energy.

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This lab can be used to investigate the relationship between velocity and the height above ground. We use it when studying potential and kinetic energy. The lab is based on Scratchy, the roller coaster riding cat. Clicking one of the … Continue reading

Standard P2.1G

The Velocity and Time Lab allows gathering velocity and time data that students can use to determine average acceleration, and estimate instantaneous acceleration using slopes of the graph. They can also estimate how far the cars have traveled by finding … Continue reading

The Position and Time Lab allows gathering position and time data that students can use to determine average speed, and estimate instantaneous speed using slopes of the graph. In this lab, we will work the opposite direction. We have only … Continue reading