Algebra 1

  • Mathematics Algebra 1

    Scope and Sequence:


    Course/Grade: __Algebra I_________


      Quarter 1 Quarter 2 Quarter 3 Quarter 4
    Unit Titles Algebraic Foundations  


    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:

    1. slope and y-intercept
    2. 2 points
    3. Graph
    4. slope equal to zero or undefined
    5. 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:

    1. Graphing (manually and with calculator)
    2. Tables

    Model and solve “break even” problems 

    Define  quadratic functions and equations

    Solve simple quadratic equations by:

    1. graphing
    2. extraction of roots
    3. 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

    1. experimentally
    2. 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)

    1. manually
    2. 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


    Supporting Materials

    (text, calcs, manips)


    Visual Aids

    Graphing Calculators

    Graph paper


    TI website


    Visual Aids

    Graphing Calculators

    Graph paper


    TI website


    Visual Aids

    Graphing Calculators

    Graph paper


    TI website


    Visual Aids

    Graphing Calculators

    Graph paper


    TI website