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# End-of-Course - Foundations II

## sites to help students practice skills needed for the Foundations II exam

Item sampler from the state of Tennessee [This expired link is available through the Wayback Machine Internet Archive. If the page doesn't load quickly click on Impatient? at the bottom right of the page.]
Standards Number & Operations | Algebra | Geometry | Measurement | Data Analysis & Probability

 site for teachers | PowerPoint show | Acrobat document | Word document | whiteboard resource | sound | video format | interactive lesson | a quiz | lesson plan | to print

 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. Level 1 extend a pattern of geometric figures extend a numerical pattern using only whole numbers Calculating the nth Term - how to develop a formula that can be used to calculate these terms What Number Comes Next? - a FunBrain game with four levels (try SuperBrain) Level 2 solve a one-step linear equation with a variable on only one side of the equation (integral coefficients and constants) solve a two-step linear equation with a variable on only one side of the equation (integral coefficients and constants) translate a one-variable verbal expression into an algebraic expression (no more than two operations) evaluate a first-degree algebraic expression given the values for the variables (up to three variables) select the appropriate linear graph that models a real-world situation Level 3 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.
 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) Comparing Properties of the Mean and the Median through the use of Technology - Using interactive software, students can compare and contrast properties of measures of central tendency, specifically the influence of changes in data values on the mean and median. determine the number of possible outcomes for a simple experiment using a list, tree diagram, or the multiplication counting principle Working with Tree Diagrams [This expired link is available through the Wayback Machine Internet Archive. If the page doesn't load quickly click on Impatient? at the bottom right of the page.] determine the probability of a single event (i.e. rolling a die and using a spinner) Coin Toss - The results of the coin tosses will appear in a pop-up window. If you have pop-ups disabled, you might have to check to see if another window opened in the background. Coin Toss - Simulation of a coin toss allowing the user to input the number of flips. Toss results can be viewed as a list of individual outcomes, ratios, or table Ken White's Coin Flipping page - flip up to 100 coins and see the total number of heads and tails. Excellent for teaching about probability. Probabilistic Situations - a short slide show on the topic 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. Interactive Probability Tutorials: Sample Spaces and Events , Estimated Probability , Empirical Probability , Abstract Probability and Conditional Probability and Independence Level 2 interpret bar graphs representing real-world data Bar Graphs from the National Center for Education Statistics interpret circle graphs (pie charts) representing real-world data Pie Graphs from the National Center for Education Statistics determine the median from a given stem-and-leaf plot Level 3 determine the median of a given set of real-world data (even number of data) Comparing Properties of the Mean and the Median through the use of Technology - Using interactive software, students can compare and contrast properties of measures of central tendency, specifically the influence of changes in data values on the mean and median. select the measure of central tendency that best describes the given real-world situation Central Tendency - explanation of this concept and related concepts Measures of Central Tendency - tutorial and examples Measuring Central Tendency - explanation, examples and a large number of links to related topics [This expired link is available through the Wayback Machine Internet Archive. If the page doesn't load quickly click on Impatient? at the bottom right of the page.] Running and Weighted Averages - tutorial and examples Sample Task 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.

 Multiple Review Activities SOS Mathematics - Algebra lessonsAAAMath offers a large number of math review topics Practical Algebra Lessons from PurpleMath - The lessons give practical tips, hints, and examples, and point out common mistakes. National Library of Virtual Manipulatives - Virtual manipulatives Practice Tests from Virginia State Standards of Learning - Select Algebra I or II , and then select 10, 20, or 40 questions. 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

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