Computer Enhanced Teaching

Methods in Mathematics

Lesson 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 lesson, click on the title of the lesson (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
44. Solving Equations.

Description: Students discover how to solve 2 equations with one variable by graphing. Grade Level: Algebra I.

4/30/97 D. Stephens

Fulton Independent HS

43. Simplifying Rational Expressions.

Description: 1. To identify values for variables that make a rational expression undefined. 2. To simplify rational expressions. Grade Level: Algebra.

4/30/97 R. Buchanan

Ballard Memorial HS

42. Graphing Linear Equations.

Description: We will examine the use of x and y intercepts in graphing linear equations. Grade Level: Algebra.

4/30/97 J. Sharp

Ballard Memorial HS

41. Constructing Sierpinski's Triangles

Description: Students will construct a Sierpinski's Triangle. Grade Level: 4-12.

4/10/97 G. Gierhart

Murray Middle School

40. Line of Best Fit

Description: Use correlation between height and shoe size to predict Shaq's shoe size. Grade Level: 8-10.

4/10/97 D. Fortney

Muhlenburg South HS

39. Factoring

Description: Students are introduced to solving polynomials by means of factoring. Grade Level: Algebra.

1/24/97 G. Storey

Fulton Independent HS

38. The Sum of the Measures of the Interior Angles of a Convex Polygon

Description: This lesson uses and inductive reasoning approach to the development of the formula for the sum of the measures of the interior angles of a complex polygon. Grade Level: Geometry.

1/14/97 B. Hester

Christian County HS

37. A Look at Equations

Description: This lesson could possibly be used as an introduction to examine some linear equations and determine what effects the numbers in the equations would have on a graph. Grade Level: Algebra I/II (8-12).

12/17/96 H. Mungle

Lone Oak HS

36. Sketching a Graph

Description: This lab is to provide students with the knowledge necessary to know the basic shape of a graph based on a given equation. Grade Level: Algebra II.

12/13/96 S. Robertson

UT-Martin

35. Golden Rectangle / Golden Ratio Computer Lesson

Description: The purpose of this computer lesson is to examine an interesting phenomenon in geometry called "The Golden Ratio" which occurs in a "Golden Rectangle". Grade Level: 7-12 Geometry.

12/10/96 E. Randolph

Home

34. Area and Circumference of Circles

Description: This lesson shows the students how to find the area and circumference of circles. It also shows the relationship of the length of the radius to the area and circumference. Grade Level: 7-8.

12/10/96 S. Lindsey

Providence Independent HS

33. Newton's Position Equation

Description: The object of this lesson is to introduce students to problem solving involving quadratic equations. Grade Level: 10-12; Algebra II and Physics.

12/10/96 P. Rowland

Henderson County HS

32. Graphing

Description: This lesson will graph equations of the form y = mx + b. The student will observe and comment about the relationships of all parts of the equation: --y=mx + b is a straight line when graphed--the relation between m in the equation of the form y=mx + b and the slope of the line --to relate the b in the equation with the y-ordinate where the line crosses the y-axis. Grade Level: 9-12.

12/6/96 R. Kinnis

Providence Independent HS

31. Triangles

Description: This lesson is designed to let students investigate when three points will form a triangle and what type of triangle is formed. This lesson also computes the perimeter and area of the triangle and displays a graph of the triangle. Grade Level: 7-12.

12/4/96 D. Main

Providence HS

30. Adding and Subtracting Matrices

Description: This lesson follows solving systems of equations using matrices. A brief review of the matrx is given. The addition of matrices is shown. This is followed by an introduction to the additive inverse and its relation to subtracting matrices. The transposition of a matrix is then shown. A critical thinking problem concludes the lesson. Grade Level: Algebra II.

11/20/96 E. Kaye

Graves County HS

29. Inverse Variation

Description: This lesson will use graphing to investigate inverse variations. Grade Level: 8-12.

11/7/96 J. Springer

North Jr. HS (Henderson, KY)

28. Direct Variation

Description: We examined graphs to determine direct variation. We Investigated the relationship between the area and the radius of a circle. Grade Level: Algebra II and above.

11/7/96 J. Wright

Madisonville North Hopkins HS

27. GRAPHING y=a(x-h)^2 + k

Description: We will explore the effect of a, h, and k in graphing the above equation. Grade Level: High School Algebra II.

10/28/96 C. Henry

Hopkins County Central HS

26. Advanced Graphing: Stretching Graphs of Periodic Functions

Description: This lesson is to help students visualize the stretching of periodic functions. Grade Level: High School Pre-Calculus Course.

9/18/96 M. Morris

Hickman County HS

25. Horizontal and Vertical Shifts of a Parabola

Description: As you recall, the graph of y=x^2 is the "standard" parabola. This parabola has its vertex at the origin and opens up. We will determine the type of shift(s) and then use MAPLE to graph the parabola for us.

9/18/96 D. Clayton

Madisonville Community College

24. Cramer's Rule

Description: This lesson shows how to use determinants to solve systems of equations.

9/12/96 M. Walker

Henderson County HS

23. Some Properties of Basic Exponential Functions

Description: We will examine the characteristics of graphs of basic exponential functions. Grade Level: High School/College Algebra and Pre-Calculus

8/5/96 M. Corley

Henderson Community College

22. Constructing a Circle Graph using Central Angles

Description: We will construct a circle graph to compare component parts of statistical data to the whole data set. Central angles will be used to accurately represent this relationship. Grade Level: High School/College Applied Math/Algebra

8/16/96 M. Jobe

Henderson Community College

21. Area of Regular Polygons

Description: We examine two methods for finding the area of any regular polygon. Grade Level : High School Geometry

7/22/96 T. Cleaver

Marshall County H.S.

20. Finding the derivative using the definition

Description: This lesson could be used effectively after the lab written by E. Thome entitled "The Slope of a Tangent Line to a Curve." It is assumed that the student has discovered the definition of the derivative and this lesson is to accompany the first set of problems the student is to do using the definition. Calculus textbooks have a set of problems where the directions will say, "Find the derivative using the definition." This lesson is to accompany that set of problems. Grade Level: Calculus I

7/19/96 D. Guess-Chumbler

Henderson County H.S.

19. The Law of Sines

Description: This lesson will illustrate the Law of Sines.

7/17/96 K. Kepner

Paducah Community College

18. Circles and Triangles

Description: This geometry lesson illustrates a circle being circumscribed about various triangles and inscribed within a triangle. The lesson also investigates the centroid of a triangle. Grade Level: 9-11

7/17/96 R. Adkins

Paducah Community College

17. Solving Linear Equations

Description: We will examine three ways to solve a system of equations in two unknowns, using substitution, graphing, and elimination. Grade Level: 8-12.

6/11/96 Kinnis, Main, Lindsey

Providence I.S.D. (KY)

16. Line of Best Fit

Description: Use correlation between height and shoe size to predict Shaq's shoe size. Grade Level: 8-10.

6/11/96 D. Fortney, J. Springer, J. Wright

Madisonville North Hopkins (KY)/North Jr. High, Henderson, KY

15. Ellipse

Description: This maple lesson will demonstrate the geometric definition of an ellipse. Grade Level: 9-12.

6/11/96 R. Adkins, K. Kepner, D. Wooten

14. Perimeter and Area

Description: The purpose of this lesson is to calculate and compare the perimeter and area of polygons. Grade Level: 6-9.

6/11/96 L. Harper, H. Mungle

13. Square-Circle-Square

Description: Comparing the area of a square, inscribed in a circle to the area of a square circumscribed about that circle.

6/11/96 M. Morris, E. Randolph, G. Storey

12. Cramer's Rule

Description : Solving systems of linear equations using Cramer's Rule. Grade Level: 10-12

6/11/96 Guess-Chumbler, Rowland, Walker

Henderson County High School

11. The Vertex of a Parabola

Description : We will examine a connection between the x-intercepts and the x-coordinate of the vertex of a parabola. Grade Level: HS Algebra II/Univ. Int. Algebra

6/25/96 D. Clayton, M. Corley, M. Jobe

Madisonville and Henderson Co. Community College

10. Parallel and Perpendicular Lines

Description : Investigating slope relationships of parallel and perpendicular lines.

6/25/96 W. Sandling, D. Stephens, G. Gierhart

Fulton High School, Murray Middle School

9. Investigating the Circumcenter of a Triangle

Description : We will locate the circumcenter of a triangle and the center of the circumcircle to show points are concurrent. Grade Level: Geometry

6/25/96 B. Hester, E. Kaye, S. Robertson

Christian Co. HS, Graves Co. HS, Univ. of Tenn. at Martin

8. 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

7. Regular Polygons

Description : We examine the interior angle sum of regular polygons.

6/25/96 C. Henry, T. Cleaver

Hopkins Co. Central, Marshall Co. HS

6. Slopes

Description: We examine slopes of lines and slopes of tangent lines.

6/11/96 M. Prophet

Murray State University

5. Trigonometry

Description: We extend the trigonometric ratios beyond acute angles.

6/11/96 M. Prophet

Murray State University

4. Matrix multiplication

Description: We learn how to multiply matrices and then examine an application.

6/11/96 M. Prophet

Murray State University

3. Approximating Pi

Description: We approximate Pi approximating the area of a circle.

6/11/96 M. Prophet

Murray State University

2. Linear equations/ inequalities

Description: We examine solution techniques involving linear equations/inequalities.

6/11/96 M. Prophet

Murray State University

1. The Fundamental Theorem of Calculus

Description: We examine a connection between area and slope.

6/11/96 M. Prophet

Murray State University


Labs 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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