# Mathematics Algebra 1

Scope and Sequence: Mathematics

Course/Grade: __Algebra I_________

 Quarter 1 Quarter 2 Quarter 3 Quarter 4 Unit Titles Algebraic Foundations   Graphing Introduction to linear functions    Slope and linear functions Applications of linear functions  Quadratic equations and functions Exponential equations and functions  Probability and Statistics Learning Outcomes (grade level expectations or standards) Define appropriate variables to represent real world phenomena Translate verbal phrases into mathematical expression Identify and combine like terms Evaluate algebraic expressions Simplify expressions using order of operations and algebraic properties multiply polynomials   represent functions with function notation, in tables, verbally and graphically organize data in tables create scatter plots define/identify independent and dependent variables describe the relationship between independent and dependent variables make predictions from graphs and tables determine the relationship between sets of data as positive, negative or no correlation describe a real situation that can be interpreted from time-distance graphs choose appropriate scales and viewing windows use recursive routines to generate tables and solve problems Use the vertical line test to distinguish between relations and functions Determine the domain and range of functions Solve real world problems that incorporate limited (i.e. discrete) domain and range Use function notation to illustrate the relationship between two sets of data Identify and interpret x- and y-intercepts of linear functions from equations, tables, graphs and real world data Graph linear functions from “standard form.” Solve problems with y-intercept as the initial value of the function  define slope algebraically as a rate of change and geometrically as a ratio calculate slope using graphical analysis or two coordinates solve problems using ratio, rates, and proportions as slope express and graph linear functions in slope-intercept form and point-slope form determine the equation of a line given: slope and y-intercept 2 points Graph slope equal to zero or undefined data set and linear regression use multiple strategies (algebraic, coordinate geometry) to determine if pairs of lines are parallel, perpendicular or neither. Solve coordinate geometry problems involving parallel and perpendicular lines Solve problems involving parallel and perpendicular lines solve linear function problems using recursive routines Make predictions (extrapolate and interpolate) from data tables and graphs Identify direct and inverse variation in the real world Model direct and inverse variation algebraically Solve direct and inverse variation problems Solve and graph the solution sets of linear inequalities Use inequalities to represent real world phenoma Make predictions from the graphs of linear inequalities Solve systems of linear equations using: Graphing (manually and with calculator) Tables Model and solve “break even” problems  Define  quadratic functions and equations Solve simple quadratic equations by: graphing extraction of roots 0-factor property Generate graphs of quadratic functions with tables and regression models. Use technology to model real world data Use technology to solve problems using vertex (max/min) and roots (zeros) of quadratic functions over real numbers perform algebraic manipulation using the laws of exponents use recursive routines to model exponential phenomena use technology to graph exponential functions solve problems from the graphs of exponential functions describe the behavior of the graphs of exponential functions  express probability as a ratio and a percent solve probability problems using proportions calculate the likelihood of the occurrence of an event experimentally theoretically solve problems using the basic counting principles, permutations, and combinations collect, display, interpret, and draw conclusions from real data (bar graphs, line graphs, circle graphs, histograms) define groups within a statistical population using percents and proportions calculate/find measures of central tendency (mean, median, mode) manually with technology use linear regression to model bi-variant data determine and/or defend whether a representation of data is accurate or misleading Significant Task (names only) Building Bridges Extending to Symbols Line ‘Em Up Domain Representation Equations of Attack Growth Rate Exploring Linear Data Escape From the Tomb Determining Functions Using Regression National Debt and Wars Predicting Your Financial Future Explorations with Chance Probability Explorations Content Supporting Materials (text, calcs, manips) Text Visual Aids Graphing Calculators Graph paper Illuminations TI website Text Visual Aids Graphing Calculators Graph paper Illuminations TI website Text Visual Aids Graphing Calculators Graph paper Illuminations TI website Text Visual Aids Graphing Calculators Graph paper Illuminations TI website