Algebra II Standards
Unit 1: Simplifying Expressions and Solving Equations/Inequalities
1.1 I can identify properties of real numbers
1.2 I can use properties of real numbers and the correct order of operations to simplify expressions
1.3 I can solve single-step and multistep equations in one variable.
1.4 I can set up equations from verbal problems and then use the equation to solve the problem.
1.5 I can solve single-step and multi-step inequalities on one variable.
1.6 I can solve compound inequalities containing “and” or “or” and graph the solution set.
1.7 I can solve linear inequalities containing absolute value.
Unit 2: Writing and Graphing Linear Functions in Two Variables
2.1 I can graph a linear equation using a table of two values.
2.2 I can graph a linear equation using x- and y- intercepts.
2.3 I can graph linear equations using slope and y-intercept.
2.4 I can write linear equations in standard form when given a graph of the equation.
2.5 I can write linear equations in slope-intercept form when given a graph of the equations.
2.6 I can write linear equations when given a point and a slope.
2.7 I can write linear equations when given two points.
2.8 I can write linear equations when given the graph of the equation.
2.9 I can find the distance between two points in the coordinate plane.
2.10 I can find the midpoint between two points in the coordinate plane.
2.11 I can find the missing endpoint when given one endpoint and the midpoint of a segment.
2.12 I can analyze data to find the line of best fit with and without a calculator.
Unit 3 Absolute Value and Piecewise Functions
3.1 I can graph the function y = |x| and use transformations to graph the function
y = a|x – h| +k
3.2 I can interpret piecewise functions
3.3 I can find the equations for a piecewise graph.
Unit 4: Systems of Linear Equations
4.1 I can solve systems of linear equations by graphing.
4.2 I can solve systems of two linear equations by substitution.
4.3 I can solve systems of two linear equations by elimination.
4.4 I can solve a system of three equations and three variables algebraically.
4.5 I can solve application problems using systems of equations.
Unit 5: Matrices
5.1 I can add and subtract matrices.
5.2 I can multiply matrices
5.3 I can use addition, subtraction, and multiplication of matrices to solve real-world problems.
5.4 I can calculate the determinant of 2x2 and 3x3 matrices
5.5 I can find the inverse of a 2x2 matrix.
5.6 I can solve systems of equations with 2 and 3 variables by using inverses of matrices or determinants.
5.7 I can use technology to perform operations on matrices, find determinants, and find inverses.
Unit 6: Graphing Systems of Linear Inequalities& Linear Programming
6.1 I can graph a system of linear inequalities in two variables with and without technology to find the solution set for the system.
6.2 I can solve linear programming problems by finding maximum and minimum values of a function over a region defined by linear inequalities.
Unit 7: Quadratics Analytical
7.1 I can multiply monomials.
7.2 I can multiply binomials
7.3 I can factor trinomials of the form ax2 + bx + c, including special forms.
7.4 I can solve quadratic equations by factoring.
7.5 I can solve quadratic equations using the quadratic formula
7.6 I can solve application problems involving quadratics.
7.7 I can use the discriminant to determine the number and type of roots for a given quadratic function.
7.8 I can solve quadratic equations with complex number systems.
7.9 I can identify complex numbers and write their conjugates.
7.10 I can add and subtract complex numbers.
7.11 I can multiply complex numbers.
7.12 I can simplify quotients of complex numbers.
Unit 8: Graphing Quadratic Functions.
8.1 I can identify quadratic functions and graphs.
8.2 I can graph quadratic functions in vertex form.
8.3 I can graph quadratic functions in standard form.
8.4 I can graph quadratic functions in intercept form.
8.5 I can determine the domain and range of quadratic functions.
8.6 I can solve quadratic systems graphically with and without technology.
8.7 I can solve quadratic systems algebraically with and without technology.
8.8 I can use transformations to draw the graph of quadratic functions.
8.9 I can explain the transformations of quadratic functions.
8.10 I can determine a quadratic function that fits a graph.
8.11 I can graph and analyze real-world problems involving quadratics.
8.12 I can graph a system of quadratic inequalities with and without technology to find the solution set to the system.
Unit 9: Polynomial Functions
9.1 I can classify polynomial expressions and equations.
9.2 I can evaluate and simplify polynomial expressions and equations.
9.3 I can factor polynomials using a variety of methods (factor theorems, synthetic division, long division, sums and differences of cubes, grouping.)
9.4 I can determine the number and type of rational zeroes for a polynomial function.
9.5 I can find all rational zeroes of a polynomial function.
9.6 I can recognize the connection among zeroes of a polynomial function, x-intercepts, factors of polynomials, and solutions of polynomial equations.
9.7 I can use technology to graph a polynomial function and approximate the zeroes, minimum, and maximum.
9.8 I can determine the domain and range of a polynomial function.
1.1 I can identify properties of real numbers
1.2 I can use properties of real numbers and the correct order of operations to simplify expressions
1.3 I can solve single-step and multistep equations in one variable.
1.4 I can set up equations from verbal problems and then use the equation to solve the problem.
1.5 I can solve single-step and multi-step inequalities on one variable.
1.6 I can solve compound inequalities containing “and” or “or” and graph the solution set.
1.7 I can solve linear inequalities containing absolute value.
Unit 2: Writing and Graphing Linear Functions in Two Variables
2.1 I can graph a linear equation using a table of two values.
2.2 I can graph a linear equation using x- and y- intercepts.
2.3 I can graph linear equations using slope and y-intercept.
2.4 I can write linear equations in standard form when given a graph of the equation.
2.5 I can write linear equations in slope-intercept form when given a graph of the equations.
2.6 I can write linear equations when given a point and a slope.
2.7 I can write linear equations when given two points.
2.8 I can write linear equations when given the graph of the equation.
2.9 I can find the distance between two points in the coordinate plane.
2.10 I can find the midpoint between two points in the coordinate plane.
2.11 I can find the missing endpoint when given one endpoint and the midpoint of a segment.
2.12 I can analyze data to find the line of best fit with and without a calculator.
Unit 3 Absolute Value and Piecewise Functions
3.1 I can graph the function y = |x| and use transformations to graph the function
y = a|x – h| +k
3.2 I can interpret piecewise functions
3.3 I can find the equations for a piecewise graph.
Unit 4: Systems of Linear Equations
4.1 I can solve systems of linear equations by graphing.
4.2 I can solve systems of two linear equations by substitution.
4.3 I can solve systems of two linear equations by elimination.
4.4 I can solve a system of three equations and three variables algebraically.
4.5 I can solve application problems using systems of equations.
Unit 5: Matrices
5.1 I can add and subtract matrices.
5.2 I can multiply matrices
5.3 I can use addition, subtraction, and multiplication of matrices to solve real-world problems.
5.4 I can calculate the determinant of 2x2 and 3x3 matrices
5.5 I can find the inverse of a 2x2 matrix.
5.6 I can solve systems of equations with 2 and 3 variables by using inverses of matrices or determinants.
5.7 I can use technology to perform operations on matrices, find determinants, and find inverses.
Unit 6: Graphing Systems of Linear Inequalities& Linear Programming
6.1 I can graph a system of linear inequalities in two variables with and without technology to find the solution set for the system.
6.2 I can solve linear programming problems by finding maximum and minimum values of a function over a region defined by linear inequalities.
Unit 7: Quadratics Analytical
7.1 I can multiply monomials.
7.2 I can multiply binomials
7.3 I can factor trinomials of the form ax2 + bx + c, including special forms.
7.4 I can solve quadratic equations by factoring.
7.5 I can solve quadratic equations using the quadratic formula
7.6 I can solve application problems involving quadratics.
7.7 I can use the discriminant to determine the number and type of roots for a given quadratic function.
7.8 I can solve quadratic equations with complex number systems.
7.9 I can identify complex numbers and write their conjugates.
7.10 I can add and subtract complex numbers.
7.11 I can multiply complex numbers.
7.12 I can simplify quotients of complex numbers.
Unit 8: Graphing Quadratic Functions.
8.1 I can identify quadratic functions and graphs.
8.2 I can graph quadratic functions in vertex form.
8.3 I can graph quadratic functions in standard form.
8.4 I can graph quadratic functions in intercept form.
8.5 I can determine the domain and range of quadratic functions.
8.6 I can solve quadratic systems graphically with and without technology.
8.7 I can solve quadratic systems algebraically with and without technology.
8.8 I can use transformations to draw the graph of quadratic functions.
8.9 I can explain the transformations of quadratic functions.
8.10 I can determine a quadratic function that fits a graph.
8.11 I can graph and analyze real-world problems involving quadratics.
8.12 I can graph a system of quadratic inequalities with and without technology to find the solution set to the system.
Unit 9: Polynomial Functions
9.1 I can classify polynomial expressions and equations.
9.2 I can evaluate and simplify polynomial expressions and equations.
9.3 I can factor polynomials using a variety of methods (factor theorems, synthetic division, long division, sums and differences of cubes, grouping.)
9.4 I can determine the number and type of rational zeroes for a polynomial function.
9.5 I can find all rational zeroes of a polynomial function.
9.6 I can recognize the connection among zeroes of a polynomial function, x-intercepts, factors of polynomials, and solutions of polynomial equations.
9.7 I can use technology to graph a polynomial function and approximate the zeroes, minimum, and maximum.
9.8 I can determine the domain and range of a polynomial function.