GEMS 100 - Vance
Review for Test 1, Fall 2007
Test 1 will be over chapters 1-8, with slightly more emphasis on chapter 6. Remember:
· Use a pencil (with an eraser)
· I will give partial credit if you show me any correct work
· Bring your own calculator (no sharing!)
· You may have a 3x5 note card with you
The first 30 points of the test will be short answer/multiple choice, similar to the first page of the quizzes. The remaining 70 points will be problem solving. Many of these will be similar to the in-class activities.
When studying for a math test, remember to re-work problems –don’t just look them over! I recommend re-working a variety of problems from the reading questions, in-class activities, and quizzes. Pay close attention to the following topics:
Chapter 1: Functions
· Find the domain and range of a function
· Given a modeling function, give a reasonable domain and range.
· Determine whether a given rule/relationship is a function.
· Evaluate a function (including piecewise functions) given that it is represented with a graph, numerically, verbally, or with function notation (e.g., f(3)).
· Be able to evaluate a function given verbally, as in activity #2 and #7.
Chapter 2: Graphs of Functions
· Describe a graph of a function using the words concave up, concave down, increasing, decreasing, x-intercept, y-intercept.
· Use your calculator to graph a given function, using a given viewing window.
· Use your calculator to determine the x and y-intercepts of a function or where two functions intersect.
· Be able to interpret your graph in the context of the problem, as in activity #11.
Chapter 3: Applications of Functions
· Determine function transformations (vertical stretch, horizontal shift, etc.)
· Given a graph created using a calculator attached to a motion detector, describe the motion of the person walking that would produce such a graph (and visa versa).
Chapter 4: Displaying Data
· Given a graph (histogram, scatterplot, xy-line), answer questions based on the graph.
· Given a data set, construct a histogram/scatterplot/xy-line on your calculator.
· Describe the difference between a histogram, scatterplot, and a xy-line. What type of data will each display?
· Understand the difference between independent and dependent variables.
Chapter 5: Describing Data
· Calculate and interpret the descriptive statistics (mean, median, standard deviation, IQR, etc) for a given set of data.
· Determine which measurement (mean or median) is more useful for describing a particular data set.
· Describe the shape of a data set (symmetric, skewed).
· Know how the shape of the distribution affects the mean and median
Chapter 6: Multivariable Functions
· Given the multivariable function evaluate the function (such as finding payment)
· Describe the terrain of a given contour map.
· Draw the isotherm for a given temperature.
Chapter 7: Linear Functions
· Find the equation of a linear function given two points, the slope and intercept, input/output table, or a graph.
· Evaluate a linear function at a particular point.
· Determine a linear conversion function for a given input and output, and use it to convert from one unit to another.
· Be able to do use linear conversions in problem situations, such as activity #4
Chapter 8: Regression and Correlation
· Given a data set, know how to determine a linear regression equation and the correlation using your calculator.
· Know what the slope and y-intercept mean in the context of the problem
· Know what the correlation r is measuring (e.g., strong negative association) and be able to estimate it from a scatterplot.