To: Incoming Freshmen taking Research Statistics 1 in Fall 2015 From: Ms. Razzino, Division Manager Date: April 23, 2015 The following objectives are from the middle school and Algebra 1 Program of Studies documents that can be found on the Fairfax County website. It is our assumption that you have completed all of these topics. These include statistics topics and topics that utilize linear equations/graphs. Because our curriculum builds on your knowledge of these objectives, it is important that you are very knowledgeable of all of these objectives. We will have a quiz during the second week of school over this material. We have posted a packet of review material on Blackboard and on the TJ website for you to use in preparation of this test. The answers are also posted. The calculator instructions that you will find in the packet are based on the TI84. We will often be transferring data in class and it will be easiest if you have the TI84. If you choose to use a different calculator, it is your responsibility to learn the commands and how to transfer data. FCPS Standards of Learning Math 7 Honors Standard 11 CONSTRUCT/ANALYZE/COMPARE/CONTRAST HISTOGRAMS WITH OTHER GRAPHS 11.a Construct and analyze histograms o 11.a.1 Collect/analyze/display/interpret data using histograms o 11.a.2 Determine patterns and relationships within data sets (e.g., trends) o 11.a.3 Make inferences/conjectures/predictions based on analysis of data o 11.a.4 Collect, organize and display data 11.b Compare and contrast histograms with other types of graphs 11.c Collect/analyze/display/interpret data using box-and-whisker plots 11.d Collect/analyze/display/interpret data using scatterplots o 11.d.1 Collect/analyze/display/interpret data using scatterplots o 11.d.2 Interpret data points as having positive, negative, or no relationship o 11.d.3 Make predictions based on correlation of data on a scatterplot Algebra 1 Honors Standard 6 GRAPH LINEAR EQUATIONS AND INEQUALITIES APPROPRIATELY 6.a Determine the slope of a line o 6.a.1 Graph linear equations in two variables, including those that arise from a variety of realworld situations o 6.a.4 Find the slope of the line, given the equation of a linear function o 6.a.5 Find the slope of a line, given the coordinates of two points on the line. o 6.a.6 Find the slope of a line, given the graph of a line. o 6.a.7 Recognize and describe a line with a slope that is positive, negative, zero, or undefined o 6.a.8 Use transformational graphing to investigate effects of changes in equation parameters on the graph of the equation. o 6.a.9 Describe the relationship between slopes of parallel lines o 6.a.10 Describe the relationship between slopes of perpendicular lines o 6.a.11 Interpret the meaning of slope in a practical problem, as a constant rate of change, and use it to make predictions o 6.a.12 Find the slope of a line, given two points on the line that have rational coordinates 6.b Write the equation of a line o 6.b.1 Write an equation of a line when given the graph of a line o 6.b.2 Write an equation of a line when given two points on the line o 6.b.3 Write an equation of a line when given slope and a point on the line o 6.b.4 Write an equation of a vertical line as x = a o 6.b.5 Write an equation of a horizontal line as y = c o 6.b.6 Write the equation of a line in point-slope form o 6.b.7 Convert algebraically between the different forms of linear equations: slope-intercept, standard form, point-slope form o 6.b.8 Given an equation of a line, write an equation of a parallel line that passes through a given point o 6.b.9 Given an equation of a line, write an equation of a perpendicular line that passes through a given point o 6.b.10 Write an equation of a line when given two points on the line whose coordinates are rational numbers Standard 9 GIVEN A DATA SET, INTERPRET VARIATION IN REAL-WORLD CONTEXTS 9.a Interpret variation in real-world contexts and calculate and interpret mean, absolute deviation, standard deviation, and z-scores o 9.a.1 Analyze descriptive statistics to determine the implications for the real-word situations from which the data derive. o 9.a.2 Given data, including data in a real-world context, calculate and interpret the mean and absolute deviation of a data set. o 9.a.3 Given data, including data in a real-world context, calculate variance and standard deviation of a data set and interpret the standard deviation. o 9.a.4 Given data, including data in a real-world context, calculate and interpret z-scores for a data set. o 9.a.5 Explain ways in which standard deviation addresses dispersion by examining the formula for standard deviation. o 9.a.6 Compare and contrast mean absolute deviation and standard deviation in a real-world context. o 9.a.7 Compare z-scores for multiple sets of data. Standard 10 COMPARE AND CONTRAST MULTIPLE UNIVARIATE DATA SETS 10.a Compare and contrast multiple univariate data sets, using box-and-whisker plots. o 10.a.1 Compare, contrast, and analyze data, including data from real-world situations displayed in box-and-whisker plots. o 10.a.2 Create and analyze data displayed in box-and whisker plots using a graphing calculator. Standard 11 DETERMINE THE EQUATION OF THE CURVE OF BEST FIT 11.a Collect and analyze data, determine the equation of the curve of best fit in order to make predictions, and solve real-world problems, using mathematical models. Mathematical models will include linear and quadratic functions. o 11.a.1 Write an equation for a curve of best fit, given a set of no more than twenty data points in a table, a graph, or real-world situation. o 11.a.2 Make predictions about unknown outcomes, using the equation of the curve of best fit. o 11.a.3 Design experiments and collect data to address specific, real-world questions. o 11.a.4 Evaluate the reasonableness of a mathematical model of a real-world situation.