Andy Lawrenc

You can use this worksheet during the first day of class. It presents the idea of sketching tangent line and finding its slope using a ruler. Students will also practice finding equations of the tangent lines. The teaching part is limited.

During this activity, students will use real triangles as a medium of learning.They will measurements and apply the law of since/cosine to compute interior angles of a triangle. They will investigate various formulas to compute areas of triangles as they apply to composite figures.

This lab provides the basis for understanding the law of conservation of mechanical energy. The other learning experiences include having the students predict or hypothesize the lab outputs and providing them with prompts to solve other "text" problems such as free response problem #1 from AP Physics B 2004 (version A and B).

This exploratory lab can be considered as an introductory activity on data analysis in a physics or mathematics/statistics class. Students will predict a graph polynomial with a point of inflection for prearranged conditions of pull-back car, then they will conduct a lab to prove or disprove their predictions. They will also formulate an algebraic model and verify its precision.

This lab exploratory activity includes: a) Modeling elastic and inelastic collisions b) Sketching momentum vs. time graphs (new in AP Physics 1) c) Predicting behavior of a system of two objects after various motion arrangements.

Students will: a) Explore the buoyant force acting on two different metal cubes. b) Hypothesize the magnitudes of the forces and then verify their hypotheses using empirical formulas and experimental methods. b) Apply learned principle in problems prepared as additional lab modifications. c) Solve additional textbook-like problems referring to the lab setting.

This activity introduces the student to the modeling of exponential decay functions. In particular, the students will: a) Take data, sketch, and construct a decay function. b) Verify the function. c) Compute coefficient of determination using TI-84. d) Apply learned concepts in problem-solving.

This exploratory type of assignment lets students verify conditions for function continuity. By being written in a systematic fashion, it induces continuity conditions in student's mind and help the student retain them.

These files contain teaching tips and a worksheet for students about constructing and using tangent line to approximate function value. The problems encompass diverse function representations such as symbolic, table of values, and graphs which provides students with a comprehensive view on how to approximate function values using the derivative.

Students will take measurements to construct a linear function (formula for distance with a constant velocity) and find its equation using the idea of the best fit. They will use TI-84 to verify their equations and compute the errors. Considering the derived function as a parent function, they will write other functions according to provided conditions.

These worksheets provide an outline of an activity for calculus students to verify their skills on area computations. Students will: a) trace given shapes in XY coordinates b) determine the function equations c) determine the limits fo integration d) use TI-84 to find the areas e) verify their computations with geometry formulas.

This activity can be conducted with a free accessed simulation whose internet address is provided in the lab outline. The activity contains teaching tips as well as detailed instructions for the students. Have fun!

During this activity: a) Students will use the idea of accumulation under the graph to construct a graph of anti-derivative of a linear function. b) Students will be also introduced to the First Fundamental Theorem of calculus.

During this lab students will: a) Compute torque using real objects b) Hypothesize their answers and verify using equipment provided. b) Apply the idea to textbook type problem solving

Students will find the coefficient of static and kinetic friction between a wooden block and incline plane without introducing the force of tension.

The purpose of the lab is to: a) Provide students with means of exploring the effects of period and frequency on the wave wavelength. b) Connect the idea of wave motion to energy transportation. c) Investigate the idea of medium and its effect on the wave speed.

During this activity students will: a) Take measurements and construct linear functions due to prearranged motion conditions b) Predict the type of system of equations c) Verify their predictions by observing the motion and solving constructed system of equations.

This activity contains teaching tips and necessary background to have students model transformations of quadratic functions. Interactive simulations (free to download) used in the lab make it an appealing and engaging learning environment.

This worksheet introduces the students to the idea of related rates problems. Using simple geometry formulas, the students will compute various rates, in contexts as well as the values of these quantities.

This is an exploratory type of activities during which students will transfer the idea of proportional reasoning to a linear function. As a medium of context, several wooden blocks will be used. Students will need: rulers, triple beam balance scales, and several wooden blocks.