3. Expressions, Equations, and Inequalities (A1)
High School
- A1.1 Construction, Interpretation, and Manipulation of Expressions
- Jurassic Oil: Fuel BlendingStudents will convert statements to the language of mathematics by determining the optimal blend of gasoline that minimizes cost. The website is not interactive but contains worksheets, teacher notes and case studies.
- Starting A Problem Solution
This is an interactive site on solving problems. It presents a suggested scheme to use, and has interactive sample problems for students. This is a student activity. - Shedding Light on the Subject: Function Models of Light DecayPresented by NCTM (Illuminations), this website provides the teacher with a four lesson unit on the decay of light as an exponential model. Teachers will appreciate the printer friendly lesson plans accompanied by student objectives, worksheets, and references. The site includes an interactive grapher and downloadable movie clips (quick time required) for students.
- A1.2 Solutions of Equations and Inequalities
- Finite MathematicsOutstanding! This site provides students with on-line tutorials to aid in solving systems of two linear equations in two unknowns, using matrices to solve systems of equations, and applications of systems of linear equations.
- Function Evaluator and GrapherUse of this system is pretty intuitive. Enter your function f(x) in graphing calculator format (press the "example" button to see some examples). Then specify some values of x, and press "Evaluate". To see a graph, enter a range of x-values (Xmin and xMax) and press "Graph." The graph will appear in a little window called "Your Graph."
- Function FlyerThis site allows students in Algebra and Pre-calculus to graph equations using a java applet. Students may then observe what happens to the graph of a function when the constants are changed. The site provides printable grid sheets for "pencil and paper" activities as well as discussions on each graphing activity.
- Function Notation; f(x)
This site allows students to work problems in the f(x) notation step by step. - Jurassic Oil: Fuel BlendingStudents will convert statements to the language of mathematics by determining the optimal blend of gasoline that minimizes cost. The website is not interactive but contains worksheets, teacher notes and case studies.
- Matrices in ChemistryThis site shows an application of solving a system of equations to balance simple equations in chemistry.
- Modeling Orbital Debris Problems
This is an excellent activity that students can do on the computer. They must use a spreadsheet program to enter data so they can make a scatter plot and get a best fit line. They can compare models they create to the actual data. They can also answer the questions with a word processor if they desire, or they can simply use a pencil and paper. Searching the Internet may be necessary to help them find answers to some of the questions. Students are exposed to linear, quadratic, and exponential function models. It also eludes to acceleration in terms of the changing rate of the deposit of orbital debris. - Pascal's Triangle
Outstanding - This site gives Standards, Lessons, and Links for students in K-4, 5-8, and 9-12 and references for Pascal's Triangle. It emphasizes the concept of patterns and this site is for all grade levels. If you have geometer sketchpad there are some interactive activities to do. - Simple PlotThis site contains information, an interactive coordiate plane for students and lesson plan for teacher. The activity helps students associate ordered pairs with their location on a coordinate plane.
- Shedding Light on the Subject: Function Models of Light DecayPresented by NCTM (Illuminations), this website provides the teacher with a four lesson unit on the decay of light as an exponential model. Teachers will appreciate the printer friendly lesson plans accompanied by student objectives, worksheets, and references. The site includes an interactive grapher and downloadable movie clips (quick time required) for students.
- SOSMathInformational site consisting of the inverse and composition of functions.
- Using Graphs, Equations, and Tables to Investigate the Elimination of Medicine from the Body: Modeling the Situation
This three-part example illustrates the use of iteration, recursion, and algebra to model and analyze the changing amount of medicine in an athlete's body. During the first part, ”Modeling the Situation" an interactive environment is used to become familiar with the parameters involved and the range of results that can be obtained. In the second part, "Long-Term Effect" the interactive environment is used to investigate how changing parameter values affects the stabilization level of medicine in the body. In the third part, "Graphing the Situation" an interactive graphical analysis provides a visual interpretation of the results. - Vertical Line Test
An interactive site where a student can create a graph in a coordinate grid and use the vertical line test to identify if a graph is a function or not. - Volcano's Deadly WarningThis lesson integrates science and mathematics for the upper high school student. The math concepts are centered around sine waves and complex waves as they relate to the seismic signals from volcanoes.