Harbor Creek School District. Algebra II Advanced. Concepts Timeframe Skills Assessment Standards Linear Equations Inequalities

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1 Algebra II Advanced and Graphing and Solving Linear Linear Absolute Value Relation vs. Standard Forms of Linear Slope Parallel & Perpendicular Lines Scatterplot & Linear Regression Graphing linear Absolute Value Piecewise Greatest Integer E Solve multistep linear equations. E Solve multistep inequalities. E Solve and graph compound inequalities. E Solve and graph absolute value equations. E Write absolute value inequalities as compound inequalities. E Define and compute slope. E Graph linear equation using slope and y intercept. F Graph absolute value equations with two variables. E Write the equation of a line using slope and y intercept. F Write the equation of a line using the point slope formula. E Define and describe parallel and perpendicular lines. F Write equations of parallel and perpendicular lines. E Graph the Best Fit Line or a scatter plot. E Write the equation of the Best Fit Line. E Graph linear inequalities and locate the solution region. E Define, recognize and graph absolute value functions. E Define, recognize and graph piecewise functions. E Define, recognize and graph greatest integer functions. M.11.A.3.1 M.11.A.3.1 M.11.D.3.1 M.11.D.3.2 M.11.E.4.2 Algebra II Advanced Page 1

2 Systems of Matrices Graphing & Solving 2x2 Linear Systems of and. Graphing & Solving 3x3 Linear Systems Linear Programming Organize Data into Matrix Form Matrix Operations Solve Systems of Using Matricies E Graph systems of equations to find a common solution. E Identify and describe the different types of linear systems. E Algebraically solve linear systems using the substitution method. E Algebraically solve linear systems using the linear combination method. F Solve systems of linear equations containing three variables. E Find the common solution region for a system of linear inequalities. F Find maximum and minimum using linear programming. E Define a matrix. E State the dimensions of a matrix. E Multiply a matrix by a scalar. E Add or subtract matrices. E Multiple matrices. E Use commutative, associative and distributive properties in matrix operations. E Compute inverse matrix. E Use identity and inverse properties in matrix operations. E Solve systems of linear equations using matrices and matrix operations. Algebra II Advanced Page 2

3 Factoring Quadratic s Common Factoring Foil Factoring Perfect Square Trinomial Factoring Difference of Squares Factoring Graphing Quadratic s Solving Quadratic s Complex Numbers s & Related Graphs Quadratic 2 nd Quarter 2 nd Quarter E Factor non prime numbers. E Common factor polynomial expressions. E FOIL factor a trinomial with and without a lead coefficient. E Factor perfect trinomial squares. E Factor a difference of two squares binomial. E Factor a polynomial using a combination of methods. E Factor a polynomial using grouping techniques. E Graph a quadratic function and identify all of the key points. E Solve a quadratic equation by graphing. E Recognize families of quadratic functions. Using translations and symmetry. E Solve quadratic equations by factoring. E Solve quadratic equations by Quadratic Formula. F Define and identify complex numbers. F Compute complex numbers using addition, subtraction, and multiplication. E Rationalize a complex fraction. F Solve quadratic equations having complex solutions. E Find the solution region of a quadratic inequality. M.11.A.1.2 M.11.D.4.1 Algebra II Advanced Page 3

4 Polynomial s Radical Exponent Operations Polynomial Operation Graphing Polynomial s Solving Polynomial s Operations Radical Operations Radical Graphs 2 nd Quarter 3 rd Quarter E Multiply and divide monomial expression containing exponents. E Raise a monomial containing exponent to a power. E Simplify and evaluate algebraic and numeric expressions using negative exponents. E Add or subtract polynomials. E Multiply polynomials. F Divide polynomials using long division and factoring methods. F Sketch polynomial function. F Find the roots of a polynomial function. E Define and describe function and relation. E Define domain and range. E Determine domain and range. E Add, subtract, multiply, and divide using function notation. E Compute functional values. F Compute composite functional values. F Determine inverse of a function. F Graph the inverse of function. E To evaluate and simplify algebraic and numeric expression using radicals. E Estimate square root values. E Compute higher order root values. F Graph square root and cube root equations. E Combine radical expressions using addition and subtraction. E Combine radical expressions using multiplication and division. E Solve equations and inequalities that contain radicals. E Graph equations containing radicals. M.11.A.1.1 M.11.A.1.2 M.11.A.2.2 M.11.A.1.1 M.11.A.2.2 M.11.A.1.2 M.11.A.1.3 M.11.D.4.1 Algebra II Advanced Page 4

5 Rational Expressions and s Sequence and Series Basic Operations with Rational Expressions Graphing Rational Solving Rational Graphing s Solve Growth and Decay Writing Sequences Summing Sequences 3 rd Quarter 3 rd Quarter 4 th Quarter E Add and subtract rational expressions using common denominator. E Multiply and divide rational expressions. F Graph rational functions. F Determine roots and asymptotes from the graphs of rational functions. E Solve rational equation and inequalities. E Define and recognize direct, inverse, and joint variation. E Solve direct, inverse, and joint variation problems. F Define and recognize an exponential function. F Graph an exponential function. F Identify the asymptote and y intercept of an exponential function. E Graph logarithmic functions. E Solve logarithmic equations. E Write expressions (involving multiplication, division, and exponents) in expanded or unexpanded log form. E Find a logarithm in any base including base 10 and base e. F Define and recognize exponential growth of decay. F Write and evaluate exponential growth or decay equations. F Solve compound interest problems. F Define and write a sequence. F Compute the value of a series. F Compute the n th term or a geometric or arithmetic sequence. F Evaluate the sum of a geometric or arithmetic series. F Use sigma notation to express a series. M.11.A.2.1 None Optional unit as time permits M.11.D.4.1 Algebra II Advanced Page 5

6 Statistics and Probability Interpreting Data Probability and Odds Counting Methods 4 th Quarter F Define and compute the three measures of central tendency. F Interpret stem and leaf plots. F Define and compute quartiles. F Create and interpret box and whisker plots. F Create and interpret data displayed in histograms and picture graphs. F Create and interpret scatter plots. F Define probability as a ratio. F Define and differentiate theoretical and. experimental probability. F Use the Fundamental Counting principle to compute the number of permutations. F Compute the number of Combinations and Permutations using the ncr and npr functions. F Find probability of dependent and independent events. F Define and compute geometric probability. F Define and compute probability using unions and intersections. F Use compliments to calculate probability. F Define and compute probability of independent events. F Define and compute odds. M.11.E.1.1 M.11.E.2.1 M.11.E.3.1 M.11.E.3.2 M.11.E.4.1 Algebra II Advanced Page 6

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