Math Lesson Plans
High School

A Volume of Calculus on the Internet
Calculus students use the Internet to explore the topic of volume of solids of rotation using disk and shell methods.  Meets Arizona State Technology Standard 1.

Are You a Square?
An Amphi Ed Tech Lesson
Students will measure their arm span and height, collect data from the rest of the class and draw lines of best fit (trend lines) first by hand and then with the use of Excel. They will calculate the equations of the lines and use these equations to predict conclusions. They will look at trend lines for two other sets of data given in a spreadsheet. Meets Arizona State Technology Standards 1 and 3.

Bouncing Ball Experiment
Students work in groups and drop a ball from different heights and measure the corresponding bounce.  They discuss and compare their linear function with that of their classmates with the help of a graphing calculator.  Meets Arizona State Technology Standard 6.

Bringing the office into the 21st Century
An Amphi TLCF Lesson
Studens will design the system for an office of six people and then write a report, defending why they used or did not use networking. Meets Arizona State Technology Standard 2 and 5.

Buy a Car
Assuming they currently have $2000 in their savings to invest toward the goal of buying a car, students research stock market investments on the Internet, make a savings plan and publish the estimate of the amount of money they will have after the 4 years of investment.  Meets Arizona State Technology Standards 1 and 3.

Career Research
Students write a letter to their parents explaining the advantages of their chosen career field using statistical comparisons to other fields and the need for math in the future career. Meets Arizona State Technology Standards 3.

Dear Tootsie Roll Company
Students measure the surface area and wrapper area of five pieces of candy. They use appropriate formulas and measuring techniques to complete information needed for a spreadsheet and database. They then write a letter to the company with the most wasted paper to explain how the waste affects them as consumers and a suggestion for correcting the problem.  Meets Arizona State Technology Standard 1, 4, and 6.

Desert Island Dilemma!-Who's at Fault?
An Amphi Ed Tech Lesson
Students will solve a problem by using trigonometry. They will graph and obtain the equation of a wave. They will calculate amplitude, period, frequency, and phase-shift to determine if the wave is within certain parameters. This will determine if the skipper and first mate are responsible for the shipwreck during a storm. Meets Arizona State Technology Standards 3 and 6.

Geometry - Student Style
Students work in groups to prepare a PowerPoint presentation that include the facts needed to solve a problem presented in class, the actual problem and the solution to the problem.  Meets Arizona State Technology Standards 3 and 4.

Internet Safety
An Amphi TLCF Lesson
Students will take a pre and post quiz on Internet safety. After discussion through a Power Point presentation, the class will come up with a workable contract for using the computer and Internet safely. Meets Arizona State Technology Standard 2. 

Problem Solving Techniques
Students use the Suremath site of Howard C. McAllister to learn and practice problem solving techniques.  Meets Arizona State Technology Standards 1 and 3.

Quadratic Equations
An Amphi TLCF Lesson
Students will identify quadratic expressions and equations. They will solve quadratic equations using 3 methods. They will determine the nature of the roots using the discriminant. Students will produce a document/pamphlet explaining how to solve a quadratic equation, for another student.  Meets Arizona State Technology Standards 1 and 3.

Spreadsheet Budget--A Life Skills Project 
Students use spreadsheet skills to develop a real-life personal budget. They are to assume that they are on their own earning minimum wage and receiving no help from their families. After discussions of ways to get raises, they will revise their spreadsheet by the "what if" method to learn to live within their budget.  Meets Arizona State Technology Standards 1, 3, 4, 5 and 6.

Stack of Cups
An Amphi TLCF Lesson
Students use their mathematical skills to create a linear regression in Excel using everyday data. They will determine rate of change and present their findings. Meets Arizona State Technology Standard 1, 3, and 6.

Stock Market Predictors
Students track stocks and the major market indicators for 30 days and then chart the value of the stocks along with the market indicators to determine which indicator is best for their specific stock. Then they will try to explain their results.  Meets Arizona State Technology Standards 3 and 5.

The Great Egg Roll X2
An Amphi TLCF Lesson
This is an on-line project sponsored by Crossroads Christian School. The students will roll a hard-boiled egg, measuring the distance rolled. They will find the average length of a roll. The data from several schools will be used to do data analysis. The students will also roll a plastic egg (optional), the challenge is to make it roll the same distance as the hard-boiled egg. Project runs from March 8-April 26, 2002. It is done every year around this time. Look for other online projects at http://www.lambeth.futureclass.net/projects/default.cfm

Theorem Investigation
An Amphi TLCF Lesson
Students will investigate whether they can expand Hero’s Theorem and Brahmagupta’s Formula to find the area of any convex pentagon/hexagon. They will present their findings in a professional document.  Meets Arizona State Technology Standard 6.

Walking The Square
An Amphi Ed Tech Lesson
You will need to have access to Cox Ed Net to do this lesson.
This activity provides an opportunity for students to study piecewise functions by gathering their own data. The students will analyze how the distance between two people (standing at adjacent corners) change as the people walk towards each other around the perimeter of a square. By measuring, recording and graphing the distances in Excel, students will determine the piecewise function that describes the graph of the distances. After the students have studied this scenario, they are asked to analyze a situation in which two people stand at adjacent corners of a square, but face the same direction. Students must determine the change in distance of the two people as they walk around the perimeter. Students will use SchoolKit Rex within CoxEdNet. Meets Arizona State Technology Standard 1.

What is a Vector?
An Amphi Ed Tech Lesson
Students will use the Internet to find out about vectors. They will investigate how to add vectors in two and three dimensions, using several methods. They will learn how to do the inner (dot) product and cross product and know what the solution means. Meets Arizona State Technology Standard 5.

When the Cookie Tumbles
An Amphi Ed Tech Lesson
This is an on-line project sponsored by Crossroads Christian School. It is done during September / October of each year. Students around the world will stack Oreo cookies until the stack falls. Each group will have 3 attempts. The highest number from each group is sent to the coordinator to be tallied. Students will access the data for data analysis. Each group will make a Web Page about the project and data collected. Look for “Loop de Loo” with Fruit Loops in January. Meets Arizona State Technology Standards 3 and 4.
 
 

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