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  • GHSUnit of Study: Systems of Equations

    Assessments & Assignments: Linear Programming Assignment due Friday 12/9

    Deadlines and Reminders: Final Performance on 12/13, Final Projects due on 12/15

    Contact Information: treasure.lynch@gulfportschools.org  

    College Readiness Standards (Unit Objectives):

    Understand the connections between proportional relationships, lines and linear equations. • EE.1 Graph proportional relationships, interpreting the unit rate as the slope of the graph. Compare two different proportional relationships represented in different ways. • EE.2 Use similar triangles to explain why the slope m is the same between any two distinct points on a non-vertical line in the coordinate plane; derive the equation y = mx for a line through the origin and the equation y = mx + b for a line intercepting the vertical axis at b. Functions Define, evaluate and compare functions. • F.1 Understand that a function is a rule that assigns to each input exactly one output. The graph of a function is the set of ordered pairs consisting of an input and the corresponding output. • F.2 Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions). • F.3 Interpret the equation y=mx+b as defining a linear function, whose graph is a straight line; give examples of functions that are not linear. Use functions to model relationships between quantities. • F.4 Construct a function to model a linear relationship between two quantities. Determine the rate of change and initial value of the function from a description of a relationship or from two (x,y) values, including reading these from a table or from a graph. Interpret the rate of change and initial value of a linear function in terms of the situation it models, and in terms of its graph or a table of values. Creating Equations Create equations that describe numbers of relationships. • A.5 Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales. Interpreting Functions Interpret functions that arise in applications in terms of the context. • F.5 For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship. Key features include: intercepts; intervals where the function is increasing, decreasing, positive, or negative; relative maximums and minimums; symmetries; end behavior; and periodicity. Analyze functions using different representations. • F.6 Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases. Graph linear and quadratic functions and show intercepts, maxima, and minima. SREB Readiness Courses Math Ready Linear Functions Unit 4 4 • F.8 Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions). Linear, Quadratic, and Exponential Models Construct and compare linear, quadratic, and exponential models to solve problems. • F.12 Distinguish between situations that can be modeled with linear functions and with exponential functions. • F.14 Observe using graphs and tables that a quantity increasing exponentially eventually exceeds a quantity increasing linearly, quadratically, or (more generally) as a polynomial function. Interpreting Categorical and Quantitative Data Summarize, represent, and interpret data on two categorical and quantitative variables. • S.5 Represent data on two quantitative variables on a scatter plot, and describe how the variables are related. • Fit a linear function for a scatter plot that suggests a linear association. Interpret linear models. • S.6 Interpret the slope (rate of change) and the intercept (constant term) of a linear model in the context of the data