• Algebra

     
    Content Standard
    1.1  Use appropriate technology to organize and analyze data
     
               Competency Standards
    1.1.1        Collect data
    1.1.2        Identify and collect relevant data
    1.1.3        Use graphing calculator to store lists
    1.1.4        Perform single variable calculations
    1.1.5        Calculate mean, mode and median
    1.1.6        Graph line plots manually and with the calculator
    1.1.7        Interpret and draw conclusions in real life situations
    1.1.8        Perform two variable calculations
    1.1.9        Graph scatter plots manually and with graphing calculator
    1.1.10    Interpret plots and draw conclusions in real life
    1.1.11    Calculate probability of dependent events
    1.1.12    Calculate the probability of independent events
    1.1.13    Interpret and make predictions in real life situations
    1.1.14    Find regression equation for best fit
    1.1.15    Graph using appropriate techniques including slope and intercept, x-intercepts and y-intercepts
     
     
     
    Content Standard
            1.2   Represent and analyze mathematical situations and structures using algebraic symbols
     
    Competency Standards
    1.2.1        Evaluate and simplify variable expressions
    1.2.2        Evaluate, add, subtract, multiply and divide
    1.2.3        Represent mathematical formulas as word phrases
    1.2.4        Use appropriate formulas to calculate related unknown quantities
    1.2.5        Graph linear, quadratic and exponential functions
    1.2.6        Use mathematical models and data analysis
    1.2.7        Recognize and classify polynomials
    1.2.8        Use the fundamental operations with polynomials
    1.2.9        Evaluate expressions that involves powers
    1.2.10    Evaluate powers with negative and zero exponents
    1.2.11    Multiply polynomials
    1.2.12    Factor polynomials
     
     
     
           Content Standard
    1.3    Understand patterns, relations, and functions
     
    Competency Standards
    1.3.1        Identify and determine each function from symbolic and/or graphic representation
    1.3.2        Interpret and relate to real life situations
    1.3.3        Graph manually and with graphing calculator
    1.3.4        Formulate symbolic mathematical sentences
    1.3.5        Fit curve to scatter plots, to interpret and predict future trends
    1.3.6        Define linear, quadratic and exponential functions
    1.3.7        Identify and determine each function from symbolic and/or graphic representation
    1.3.8        Identify domain and range of function
    1.3.9        Identify classes of functions in symbolic, numerical and graphical form
    1.3.10    Find the focus and directrix of a parabola
    1.3.11    Use parabolas to solve real world problems
    1.3.12    Write the equation of parabolas, circles, ellipses, and hyperbolas
    1.3.13    Identify parabolas, circles, ellipses, and hyperbolas from their equations
    1.3.14    Graph manually and with graphing calculators
    1.3.15    Understand properties of graphs and the relationship between a graph and its maximum or minimum point
    1.3.16    Use properties of and relationships among figures to solve mathematical and real world problems
     
     
     
          Content Standard
    1.4    Select, apply, and translate mathematical representations to solve problems
     
                Competency Standards
    1.4.1        Identify and solve linear equations
    1.4.2        Identify and solve linear inequalities
    1.4.3        Write and solve one, two, and multi-step equations
    1.4.4        Graph equations and inequalities with a graphing calculator
    1.4.5        Define and graph linear equations in a coordinate plane
    1.4.6        Find slope, rate of change, and y-intercept
    1.4.7        Write linear equations in slope-intercept and standard form
    1.4.8        Use the point-slope formula
    1.4.9        Fit a line to data using a graphing calculator
    1.4.10    Recognize and describe direct variation
    1.4.11    Use the fundamental operations in rational expressions
    1.4.12    Addition, subtraction, multiplication and scalar multiplication
    1.4.13    Use matrices to organize and manipulate data. 
    1.4.14    Add, subtracts, multiplies, and divides complex numbers
    1.4.15    Find complex solutions to equations that have no real solutions
    1.4.16    Solve problems involving complex numbers
    1.4.17    Plot complex numbers in the complex plane
    1.4.18    Calculate the magnitude of a complex numbers
    1.4.19    Find the conjugate
     
     
     
    Content Standard
    1.5    Analyze change in various contexts
     
                Competency Standards
    1.5.1        Recognize and describe data involving inverse variation
    1.5.2        Interpret and draw conclusions in real life situations
    1.5.3        Graph and finds equations for inverses of linear functions
    1.5.4        Solve problems using inverses of linear functions
    1.5.5        Restrict domain of a function to obtain an inverse function
    1.5.6        Graph and evaluate square root functions
    1.5.7        Understand the properties and basic theorems of roots, exponents, and logarithms
    1.5.8        Find inverses of exponential functions
    1.5.9        Use a variety of operations (find a reciprocal)
     
     
     
    Content Standard
    1.6    Use mathematical models to represent and understand quantitative relationships
     
                Competency Standards
    1.6.1        Identify and solve linear equations
    1.6.2        Solve systems of equations by graphing
    1.6.3        Solve systems of equations using addition method
    1.6.4        Solve systems of equations using substitution
    1.6.5        Solve systems of equations using matrices
    1.6.6        Solve quadratic equations by factoring, completing the square, and the quadratic formula
    1.6.7        Solve rational equations
    1.6.8        Solve combined inequalities
    1.6.9        Understand the basic trigonometric ratios (sine, cosine, tangent)
    1.6.10    Use trigonometric ratio methods to solve mathematical and real world problems
    1.6.11    Find the trigonometric functions of an angle of rotation
    1.6.12    Use the law of sines and the law of cosines to solve a triangle and real world problems
    1.6.13    Graph the sine, cosine, and tangent functions
    1.6.14    Use the sine, cosine, and tangent functions to solve real world problems
    1.6.15    Graph functions and write the equations of functions with a phase shift and/or vertical shift
    1.6.16    Convert between degree measure and radian measure