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First Semester Probability/Statistics—identify how outliers affect a regression line Algebraic Concepts Solve, graph, and analyze systems of linear equations & inequalities Solve multi-step problems with rate, distance, ratio, proportion, average & percent Find the solutions of a polynomial by factoring and by synthetic division Solve quadratic equations by graphing, factoring, completing the square and using the quadratic formula Convert expressions from radical notations and vice versa Solve rational equations Define and perform operations on real and complex numbers Functions Define and distinguish between relations and functions Find and graph the inverse of a given function Use functional notation and specify domain and range Identify the parent graph of quadratic functions Interpret the maximum and minimum values, and the y-intercept of quadratic functions Compare the relationships between the intercepts and the roots of a quadratic equation to solve problems Matrix Algebra Add, subtract, and multiply matrices to solve problems Find the inverse and determinant of a matrix to solve problems Use matrices to solve systems of equations
Second Semester Probability/Statistics Collect data that involves two variables and display it on a scatter plot, and interpret results by applying a linear, exponential, or quadratic model/equation and recognize whether it is a curve of best fit for the data Analyze and synthesize data using measures of central tendency and standard deviation
Algebraic Concepts Graph rational expressions, identify intercepts, and asymptotes Simplify rational expressions Differentiate between arithmetic and geometric sequences and series Functions Interpret and graph exponential and logarithmic functions Apply the inverse relationship between exponential and logarithmic functions Use exponential and logarithmic functions to solve problems Calculus / Pre-Calculus Identify, graph, and write the equations of conic sections
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