Labs Incorporating the Calculator
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Limits |
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Investigating Limits with Tables |
Investigating
Limits on the Calculator |
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What
Happens Near Zero? |
Investigating Limits as x approaches Infinity |
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Understanding the
Definition of a Limit |
What Happens as X Approaches Very Large and Very Small Numbers? |
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Continuity - Differentiability |
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Definition of
Continuity |
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Continuity
and Differentiability with the Graphing Calculator |
Intermediate Value Theorem |
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Understanding the Derivative |
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Finding Extreme Values of a Function |
Discovering Instanteous Rate of Change |
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Motion along a line |
Studying
Rectilinear Motion on the Graphing Calculator |
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Motion along a Line with the Graphing Calculator |
Connecting
Graphs of f, f' and f" |
 Matching
Graphs of f, f ', and f " |
Is
there a pattern to the derivatives of a Function?
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An
Exploration to Discover the Value for Derivative at a Point |
Creating Linear Models for Functions
at a point (a, f(a)) |
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Understanding the Definition of a Derivative |
Investigating
the Definition of
f ‘(x) Graphically, Numerically, Analytically, and
Verbally |
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Understanding the Derivative with NDERIV |
Estimating the Derivative with the TI-89 |
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Estimating a
Derivative by Zooming |
Estimating Derivatives Graphically |
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Working with
f, f', and f" (1) |
Discovering the Chain Rule |
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Linear Approximations |
Using the
Calculator to Understand the Derivative |
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Newton's Method |
Discovering the
Derivative Graphically and Numerically |
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Minimizing the Volume of a Cone |
Graph of the
Derivative |
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Discovering
Special Relationships Between Derivatives of Inverse Functions
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Looking for
Similarities and Difference in Derivative |
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Discovering
Additional Relationships Between Derivatives of Inverse Functions |
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Discovering Derivative Relationships |
Discovering the Derivative by Exploration |
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Integration |
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Reimann
Sums with LRAM, MRAM, and RRAM
(NUMINT
Program)
(LMRRAM Program) |
The
Trapezoidal Rule
Trapezoidal Program
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Trapezoidal Approximation for
Definite Integrals |
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Some
Applications of Definite Integral Sample Problems |
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Applications
of the Definite Integral |
Exploring
the Fundamental Theorem of Calculus with the Graphing Calculator |
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Understanding
the Accumulation Function |
Discovering
the Average Value of A Function |
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Finding
the Volume of a Solid with a Known Cross Section |
Understanding
Functions Defined by Integrals |
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Approximating Area
with Rectangles |
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Numerical
Integration |
Exploring
Signed Area |
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Investigating Riemann Sums |
Exploring Area Bounded by the x-axis and a Function |
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Applications |
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Setting
Up a Related Rates Problem |
Investigating
the Mean Value Theorem |
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Understanding the
2nd Fundamental Theorem of Calculus |
Exponential Decay
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Mathematics Teacher article related to this lab: Rahn, James R.,
Giving Meaning to Volume in Calculus, Feb 1991, 110-112 |
Maximizing Volume |
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Related Rates |
Area of a Nike Symbol |
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Rate of
Change of Height |
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Torricelli's Model
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Slope Fields |
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Slope
Fields - A Geometric Interpretation of a Differential Equation |
Grid for Transparency for
creating Slope Field |
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Slope
Field Program for TI-83/84 |
Slope
field questions on the AP test |
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Developing A Slope Field |
Building
a Class Slope Field |
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Reading
Slope Fields |
Using
Technology to Build a Slope Field |
| Building
an Understanding for Slope Fields |
Slope
field Questions and Exercises by Lin McMillan |
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Pre-Calculus/Trigonometry |
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Modeling
Exponential Decay |
Exploration Lab with Exponents |
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Exponential Growth on the Graphing Calculator |
Zeros of a
Polynomial |
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Exponential
Functions |
Looking for Hidden
Behavior with a Calculator |
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Transforming Parabolas and
Circles |
Review of
Trigonometric Transformations with the Graphing Calculator |
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Finding Zeros of a Function |
Tuning Fork |
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Recursive Sequences |
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Unconstrained
Growth |
Transformations |
Developing an Understanding
for Using Absolute Value |
Studying the Effects of Absolute Value |
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Mathematics
Teacher article related to this lab:
Rahn, James
R. & Barry A. Berndes, Using Logarithms to Explore Power and Exponential
Functions, Mar 1994, 161-170
Activity Sheet 1: Power
Function Exploration
Activity Sheet 2: Exponential
Function Exploration
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Non - Calculator Labs
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| Related Rates Graphs of Functions |
Developing
an Understanding for the Definite Integral |
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