1. Reasoning About Numbers, Systems and Quantitative Situations (L1)
Based on their knowledge of the properties of arithmetic, students understand and reason about numbers, number systems, and the relationships between them. They represent quantitative relationships using
High School
High School
- L1.2 Representations and Relationships
- About e= 2.711828
This site contains a definition of and methods to find E.. - Buffon's Needle
This site is a Java Applet which uses a simple Monte Carlo method, called Buffon's Needle, for the estimation of the value of pi, 3.14159265... This activity is very brief, but very simple to do. Would require a bit of teacher direction for the students to understand why or how it works. This is a student activity. - Exponential Fit - The M&M Activity
This is a lesson plan for using M&M's or Skittles to give data for making a graph. The graph should form an exponential curve. The site includes a spreadsheet that students can download and use to record data. They can make graphs and find logs with the spreadsheet also. - Fermi Problems of Estimation
This site is a good resource of 5 interesting problems involving estimation of complex situations. The page also includes some facts for fun like the velocity of hair growth and the mass of delivered junk mail in the U.S. It is labeled AP Physics, so if it is used in a mathematics class, the teacher may have to provide some background information. - Learning About Properties of Vectors and Vector Sums
Outstanding - This is a student interactive game using either a car or airplane with vectors to control its direction and speed. Students are able to see vectors have two components, magnitude and direction. - Pi
This site contains a definition of and methods to find Pi. Pi = 3.14159 - Secret Worlds: The Universe WithinOutstanding! A Java applet demonstrates poweres of 10 from the Milky Way to subatomic particles. An awesome video that students and teachers will find amazing!
- About e= 2.711828
- L1.3 Counting and Probabilistic Reasoning
- Loan CalculatorStudents can set the amount of the loan, the interest rate and the number of years to see how variations in these numbers can change amount of payment and interest paid over the course of the loan. They also can set the amount of the monthly payment and calculate the amount of time required to pay off the loan.
- Savings CalculatorStudents can use the savings calculator and see how changing the amount deposited, frequency of deposits, interest rate, time, and method of compounding interest affects their total.