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Standard
1 Number and Operations Students will recognize, represent, model, and apply real numbers and operations verbally, physically, symbolically, and graphically and will compute fluently and make reasonable estimates in problem solving.
Level 1
choose the correct prime factorization of a two-digit composite whole number
Factoris - Remember Tetris? To complete this game students must select a block size which would represent factors of the given number and then stack them using left and right arrows.
Order of Operations - Try a workout of 10 problems. If you get at least 8 correct on your first attempt, then you're ready to move on. If not, review "In Depth" and try again.
Rational Number Tutorial - This tutorial will help you understand the significance of the minimum and maximum integers in a rational number system and the meaning of overflow.
choose an equivalent exponential form of a one-variable monomial given in factored form (only first-degree variables with positive integral coefficients)
multiply an integer by a one-variable binomial
select a reasonable solution for a real-world division problem in which the remainder must be considered
apply order of operations to evaluate numerical expressions containing whole numbers, exponents, and no more than two sets of grouping symbols (no power larger than two)
Order of Operations - Try a workout of 10 problems. If you get at least 8 correct on your first attempt, then you're ready to move on. If not, review "In Depth" and try again.
select ratios and proportions to represent real-world problems such as scale drawings and samplings (all ratios are positive integers to positive integers)
Ratio and Proportion - four stage lesson includes examples and a set of workout problems
Sample Task
Search the newspapers for various uses of numbers and, in writing, justify the representations chosen (i.e., percent, fraction, and decimal). Investigate the applications of numbers and computations in the workplace.
Percent - graphical examples and practice problems
Standard
2 Algebra Students will describe, extend, analyze, and create a wide variety of patterns and solve real-world problems using appropriate materials and representations.
select the number line graph that models a given one-step linear inequality (variables may not have negative coefficients)
simplify a first-degree algebraic expression by combining like terms (integral coefficients and constants)
Sample Task
Use the internet or daily newspaper to find information regarding the stock results of one to five companies. Graphically demonstrate the histories of the companies for five to thirty days. Using the information found, predict the status of the company five to thirty days from now. Develop a range of the companies' stock values for the last five to thirty days, using inequalities. Write a scenario explaining why a company's stock changed drastically.
Simple Coordinates Game - Students investigate the first quadrant of the Cartesian coordinate system through identifying the coordinates of points, or requesting that a particular point be plotted.
Simple Maze Game - Students investigate the first Quadrant of the Cartesian coordinate system by directing a robot through a mine field laid out on the plane.
General Coordinates Game - Students investigate the Cartesian coordinate system through identifying the coordinates of points, or requesting that a particular point be plotted.
Simple Maze Game - Students investigate the first quadrant of the Cartesian coordinate system by directing a robot through a mine field laid out on the plane.
Maze Game - Students use their knowledge of points on a graph to move a robot to the target, while avoiding mines.
Using the Pythagorean Theorem Once you know the equation a2 + b2 = c2 is true, then you can use it to solve all kinds of problems. Try the Pythagorean theorem with two other examples given on this page
Pythagorean Theorem - a java applet that allows students to investigate this theorem.
Pythagorean Theorem - This lesson will allow you to figure out the Pythagorean Theorem all by yourself.
An Interactive Proof of Pythagoras' theorem - This Java applet was written by Jim Morey. It won grand prize in Sun Microsystem's Java programming contest in the Summer of 1995.
Pythagorean Theorem - In this investigation students will learn more about the Pythagorean Theorem and see whether or not it works for triangles that are not right triangles.
Solving a right triangle - This example illustrates how finding the height of the pyramid is equivalent to solving the right triangle. The virtual reality media can help students visualize the interrelation between the 3-dimensional pyramid and the 2-dimensional right triangle.
Sample Task
Students choose tessellating polygon shapes to design a quilt pattern. Students use the properties of similar triangles to investigate the height of trees, flagpoles, and other structures.
Standard
4 Measurement Students will become familiar with the units and processes of measurement in order to use various tools, techniques, and formulas to determine and estimate measurements in problem solving.
Level 1
apply the given formula to determine the area of a rectangular figure with rational dimensions
Level 2
calculate the cost per unit to determine the best buy (no more than three samples)
Level
3
choose the correct area representation of the product of an integer and a one-variable first-degree binomial
Sample Task
Provide students a scale drawing of a room and have them calculate the amount and cost of various floor-covering. Give students a blow pop and have them measure the circumference. Have students rotate the blow pop in their mouths for two minutes. Measure the circumference again. Repeat this process five times. Plot time versus circumference and explain the change.
Standard 5 Data Analysis and Probability Students will interpret a given set of data, including analyzing the use, misuse, and abuse of data; choose, construct, and analyze appropriate graphical representations for a data set; use technology in data collection and analysis; and apply theoretical and experimental probability to analyze the likelihood of an event.
Level 1
determine the mean of a given set of data (no more than five two-digit numbers)
Probability Theory: The Layman's Guide to Probability - An in-depth but easily readable guide on probability theory, covering various aspects of the theory with a bias to gambling games and strategies. Includes working examples in an excel spreadsheet.
What are Your Chances - What many people refer to as 'good luck' can actually be explained by a little knowledge about probability and statistics. Our dice game allows you to see how increasing or decreasing the number of dice rolls effects an outcome.
Survey 100 people on political candidates, favorite shows, etc. Create a frequency table and display the data. Randomly sample the school population and survey those students to predict the opinions of other students on certain topics.
Algebra Help - in-depth algebra help through algebra history, an online textbook, and various articles covering everything from basic algebra fundamentals to the latest-and-greatest algebra software help available
a site for teachers | 
a PowerPoint show | 
a Word document
sound | 
video format | 
interactive lesson | 
a quiz | 
to print
