Computer Enhanced Teaching

Methods in Mathematics

Lab Materials


This page was last updated on 4/4/01.
Below are lab materials written by the instructors and students of this course; the materials are written in MAPLE. To download a lab, click on the title of the lab (which should be colored blue). For more detailed instructions on downloading materials, see the download instructions . If you have any problems downloading materials from this page, or if you find any errors in the table listing below, write the following address:
Email< ed.thome@murraystate.edu>

Title and Description Date Posted Author
53. Is there Math in a Jump Rope?
Description: Mathematics can be applied to a simple jump rope . Grade Level: Middle School.
4/30/97 G. Gierhart
Murray Middle School
52. Simpliflying Rational Expressions Lab
Description: This lab will give the student practice identifying values for variables that make the expression undefined. Grade Level: Algebra.
4/30/97 R. Buchanan
Ballard Memorial HS
51. Solving equations with a variable on both sides.
Description: This lab is designed to learn how to solve equations on both sides. Grade Level: Pre-Algebra.
4/30/97 D. Stephens
Fulton HS
50. Graphing Linear Equations.
Description: This lab will give students experience using the x and y-intercepts of a line in order to graph it. Grade Level: Algebra.
4/30/97 J. Sharp
Ballard Memorial HS
49. Line of Best Fit.
Description: Use data collected to find correlation between time and number of students for the "Squeeze" experiment. Grade Level: (8-10).
4/10/97 D. Fortney
Muhlenberg South HS
48. Fold a paper, see a pattern.
Description: This lab is an exercise in the recognition of patterns. Grade Level: (5-12).
1/24/97 G. Storey
Fulton Independent HS
47. Factoring polynomials
Description: The purpose of this lab is to check student's solutions after they completed a homework assignment where equations were to be solved by factoring. The lab will show the accurate solutions and demonstrate the results by means of a graph. Ten homework problems were assigned for each to solve by using facoring. Grade Level: Algebra I (8-12).
12/17/96 H. Mungle
Lone Oak HS
46. Factoring polynomials
Description: To provide students with the knowledge necessary to factor polynomials. Grade Level: Algebra I.
12/13/96 S. Robertson
UT-Martin
45. The Best Dog Pen
Description: The purpose of this lab is to find the rectangle with the greatest area for a given perimeter. Grade Level: 6-8.
12/10/96 L. Harper
Caldwel County MS
44. Determining an Angle from a Given Point
Description: The purpose of this lab is to enable the student to determine the angle formed on a Cartesian Plane when the coordinates of a point are given. The student needs prior understanding of the Pythagorean Theorem, the distance formula, circles and radii, and values of the sine and cosine functions. Grade Level: Geometry, Grades 9-12.
12/10/96 E. Randolph
Home
43. Newton Lab
Description: This worksheet is designed to help students learn to use quadratic equations to solve problems encountered in physics. Grade Level: 10-12; Physics, Algebra II.
12/10/96 P. Rowland
Henderson County HS
42. Graphing
Description: This lab will allow the student to practice using Maple by graphing equations of the form y=mx + b. More than one line will be graphed on any one screen. The student will also be asked to describe in words the relationship among the lines. The student will save his work and submit a copy to the teacher for a grade. Grade Level: 9-12.
12/6/96 R. Kinnis
Providence Independent HS
41. Triangles
Description: This lab is designed to let students investigate altitudes, medians, and perpendicular bisectors of different types of triangles. Grade Level: 7-12.
12/5/96 D. Main
Providence HS
40. Second-Degree Equations
Description: This lab is an investigation of the different types of graphs and to determine what the graph will look like by examining the equation. Grade Level: 11-12.
12/4/96 S. Lindsey
Providence Independent HS
39. Linear Functions
Description: Find solutions for a given linear equation, plot these solutions, and describe similarities/differences between several linear functions and their graphs. Grade Level: 7-12.
11/7/96 J. Wright
Madisonville North Hopkins HS
38. Graphing Horizontal and Vertical Lines
Description: In this lab students will graph coordinate pairs to discover that constant x values lead to a vertical line and constant y values lead to a horizontal line. Grade Level: 7-10.
11/7/96 J. Springer
North Jr. HS (Henderson, KY)
37. Negative Exponents
Description: We examine the effect of negative exponents. Grade Level: Algebra I.
10/28/96 C. Henry
Hopkins County Central HS
36. Factoring Review
Description: A review of general factoring methods. Grade Level: Algebra II (Traditional).
10/15/96 E. Kaye
Graves County HS
35. Graph of Trigonometric Inverses
Description: This lab is to help students learn to graph the trigonometric inverses. This lab can also be used with the lab FUNCTIONS AND INVERSE FUNCTIONS by Dr. Thome
9/18/96 M. Morris
Hickman County HS
34. Horizontal and Vertical Shifts of Basic Functions
Description: This lab will extend the ideas of horizontal and vertical shifts to other basic functions.
9/18/96 D. Clayton
Madisonville Community College
33. Cramer's Rule
Description: This lab is a follow-up to the lesson on Cramer's Rule. The purpose is to teach the student how to solve systems of linear equations and then to check their answers on the computer. The student will be instructed to show all steps and turn in their work at the completion of the lab.
9/12/96 M. Walker
Henderson County HS
32. Tracing a Curve with Its Tangent Lines
Description: The student will trace the path of a smooth curve by graphing its tangent lines over an interval. This will be accomplished by defining a function and then finding its derivative and an equation for its tangent line at x = a. Tangent lines over an interval of values for a will then be constructed to show the curve. Grade Level : High School/College Calculus.
8/26/96 M. Corley
Henderson Community College
31. Fitting a Median-Median Line to a Data Set
Description: The student will work through the median-median line method of fitting a line to a set of data that looks like it has a linear relationship. Grade Level : High School/College Pre-Algebra or Calculus.
8/5/96 M. Jobe
Henderson Community College
30. The effects of the constant coefficients on quadradic equations
Description: We will examine how changing the coefficients on the x^2 and x terms as well as the constant coefficient affects the graph of a quadradic function. Grade Level : High School Algebra .
7/22/96 T. Cleaver
Marshall County H.S.
29. Solving equations with one unknown
Description: The lab will enable the student to discover the connection between the solution to an equation and the intersection point of the graphs of the left hand side and the right hand side of the equation. It is assumed that the students have learned to solve the five basic types of equations with one unknown. It is also assumed that the students are familiar with linear graphs. Grade Level: Algebra I.
7/19/96 D. Guess-Chumbler
Henderson County H.S.
28. Solving quadratic equations
Description: The lab will enable the student to discover the connection between the solution to a quadratic equation and the intersection point of the graphs of the two sides of the equation. It is assumed that the students have learned to solve quadratic equations by factoring. Grade Level: Algebra I-II.
7/19/96 D. Guess-Chumbler
Henderson County High School
27. Graphs of Sine Functions
Description: This Maple Lab investigates graphs of sine functions as the equations are modified by amplitude, period and phase shift constants. Students are led through various illustrations and then given the following task: graphs are presented to them and they are asked to input the correct equations that match these graphs. Grade Level: 11-12
7/17/96 R. Adkins
Paducah Community College
26. Synthetic Division
Description: We would like to explore synthetic division and its relationship to graphing. Some knowledge of synthetic division is assumed.
7/17/96 K. Kepner
Paducah Community College
25. The Angles of a Triangle
Description: In this lesson we use the Triangle Sum Theorem to find the measures of the angles of several triangles. The mechanics of solving simple algebraic equations are also explained. Grade Level: Intuitive Geometry
7/17/96 B. Hester
Christian County H.S.
24. Right Triangles and Slope
Description: The purpose of this lab is to demonstrate the relationship between perpendicular lines and right triangles. This will be done by viewing a graph of a triangle and then having Maple state if it is a right triangle or not. The student will then compute the slopes of the two lines that appear to form the right angle to determine if perpendicular. Grade Level: 9-12
6/11/96 R. Adkins, K. Kepner, D. Wooten
23. Slope of a Line
Description: This lab will enable the student to discover the relationship between the slope of a line and the coefficient of x when the equation is in slope-intercept form. Grade Level: 8-12
6/11/96 Guess-Chumbler, Rowland, Walker
Henderson County High School
22. Triangles
Description: This lab is designed to let students investigate whether or not three line segments will form a triangle. Grade Level: 7-12
6/11/96 R. Kinnis, D. Main, S. Lindsey
Providence Independent
21. Area of Triangles
Description: The purpose of this lab is to derive the area formula for a triangle. Grade Level: 6-9
6/11/96 H. Mungle, L. Harper
20. Slope
Description: The purpose of the lesson is to make observations about slopes of lines. Grade: 8-10
6/11/96 J. Wright, J. Springer, D. Fortney
Madisonville North Hopkins H.S., Henderson North Jr. High.
19. Crickets
Description: Will a cricket ever get to the number 1? Grade Level: 5-12
6/11/96 G. Storey, M. Morris, E. Randolph
18. Compound Interest
Description: The student will examine various applications of compound interest. Grade Level: HS/Univ. Business/Applied Math.
6/25/96 D. Clayton, M. Corley, M. Jobe
Madisonville and Henderson Co. Community College
17. Measures of Central Tendency
Description: This lab will introduce the student to the calculations of th e measures of central tendency. This is the basis for statistics. Grade Level: 7-12.
6/25/96 W. Sandling, D. Stephens, G. Gierhart
Fulton High School, Murray Middle School
16. Investigating Circles
Description: An investigation of graphs of circles and how these graphs are related to the equations, centers, radii, and x-& y-intercepts of the circles. Grade Level: Algebra II/Geometry.
6/25/96 B. Hester, E. Kaye, S. Robertson
Christian Co. HS, Graves Co. HS, Univ. of Tenn. at Martin
15. Displacement, Velocity, and Acceleration
Description : Using the vertical component of the motion of a projectile we will examine the relationship between displacement, velocity and acceleration.
6/25/96 J. Sharp, R. Buchanan, D. Thompson
Ballard Mem. HS, Houston Co. HS
14. Triangle Classification
Description : We will attempt to classify triangles based on the lengths of their sides, rather than their angles. Grade Level: Geometry
6/25/96 C. Henry, T. Cleaver
Hopkins Co. Central, Marshall Co. HS
13. The Cartesian Coordinate System
Description: This purpose of this lab is to develop an understanding of the Cartesian coordinate system.
6/11/96 E. Thome
Murray State University
12. Functions
Description: This lab intends to add meaning to the definition of a function.
6/11/96 E. Thome
Murray State University
11. Composition of Functions
Description: This lab tries to provide a conceptual understanding of the composition of functions.
6/11/96 E. Thome
Murray State University
10. Inverse Functions
Description: This lab is to improve the student's understanding of inverse functions.
6/11/96 E. Thome
Murray State University
9. Polynomial Functions
Description: This lab is to acquaint students with the behavior of polynomials.
6/11/96 E. Thome
Murray State University
8. Rational Functions
Description: This lab is to familiarize one with the behavior of rational functions; an emphasis is placed on asymptotes.
6/11/96 E. Thome
Murray State University
7. Translation and Dilation
Description: This lab addresses the transformations and dilations necessary to get the graph of a given function from the appropriate basic graph.
6/11/96 E. Thome
Murray State University
6. Even and Odd Functions
Description: This lab explores the symmetry of even functions and the symmetry of odd functions.
6/11/96 E. Thome
Murray State University
5. Basic Function Types
Description: This lab is to give a basic overview of 3 chief types of algebraic functions: power functions, exponential functions, and logarithms.
6/11/96 E. Thome
Murray State University
4. Limits
Description: In this lab we will zoom in on two graphical examples to try to obtain a better understanding of the definition of and the concept of the limit.
6/11/96 E. Thome
Murray State University
3. The Slope of Tangent Lines to Curves
Description: This lab seeks to motivate the definition of the derivative.
6/11/96 E. Thome
Murray State University
2. Derivatives
Description: This is to help understand derivatives by comparing its graph to the graph of the original function and to the graph of the second derivative.
6/11/96 E. Thome
Murray State University
1. Linear Programming Example
Description: This lab leads the student through a linear programming example, together with an illustration of the corner principle.
6/11/96 E. Thome
Murray State University

Lessons written by the instructors and participants of this course are posted to the following page, while a review of some MAPLE commands is also available at this site. To upload materials for inclusion in this page, go back to the CETMIM home page and select an upload button.
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