Standards

Appendix A Standards

P.3.1 🔗: I can simplify expressions involving rational exponents and convert between them and radical notation.
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P.6.1 🔗: I can determine where a rational expression is undefined.
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P.6.2 🔗: I can combine rational expressions using addition, subtraction, multiplication, and division. I can simplify the resulting rational expression.
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1.1.1 🔗: I can solve linear and absolute value equations in one variable.
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1.1.2 🔗: I can solve an equation involving rational expressions.
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1.3.1 🔗: I can find the distance and midpoint between points in the plane.
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1.3.2 🔗: I can complete the square to put the equation of a circle into standard form. I can translate between the standard form and the graph of the circle.
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1.4.1 🔗: I can graph a line by plotting any two points on the line. I can determine the slope of the line passing through two points in the plane. I can write the equation of that line using Point-Slope and Slope-Intercept Form.
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1.4.2 🔗: I can determine whether two lines are parallel or perpendicular, and I can find the equation of lines that are parallel or perpendicular to a given line.
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1.5.1 🔗: I can solve quadratic equations using each of the following methods: Complete the square, Factor, The Quadratic Formula, and The Square Root Method.
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1.6.1 🔗: I can solve general polynomial, polynomial-like, and quadratic-like equations and verify that a value is a solution to a given polynomial equation. I can solve equations involving rational exponents, including radical equations.
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1.7.1 🔗: I can solve linear and absolute value inequalities in one variable. I can express the solutions to these inequalities graphically and using interval notation.
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2.1.1 🔗: I can find the domain and range of a given relation. I can determine whether a relation is a function.
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2.2.1 🔗: I can identify, evaluate, and graph piecewise defined functions.
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2.3.1 🔗: I can use transformations to graph a function.
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2.4.1 🔗: I can compose functions, decompose functions, and correctly identify the domain of a composition.
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2.5.1 🔗: I can determine whether a given pair of functions are inverses of one another. I can determine whether a function is one-to-one and, if so, find its inverse.
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3.1.1 🔗: I can determine the following attributes of a quadratic function: opens up or down, the vertex, the x-intercepts, the y-intercept, and the line of symmetry. I can use this information to graph a quadratic function.
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3.1.2 🔗: I can use quadratic functions to solve minimization and maximization problems.
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4.1.1 🔗: I can identify an exponential function, its domain, its range, and whether it represents growth or decay. I can use this information to graph an exponential function.
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4.1.2 🔗: I can solve application problems involving exponential functions.
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4.2.1 🔗: I can identify a logarithmic function, its domain, and its range. I can use this information to graph a logarithmic function.
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4.3.1 🔗: I can evaluate logarithms, using the change-of-base formula as necessary. I can use properties of logarithms to combine and expand logarithmic expressions.
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4.4.1 🔗: I can use the properties of exponentials and logarithms to solve equations.
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5.1.1 🔗: I can solve a system of linear equations in two variables using the methods of elimination and substitution. I can determine whether a system of linear equations is consistent and, if so, whether the system has a unique solution. If the system is dependent, then I can express the solution space as a set.
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I can solve a system of linear equations in three variables by building on the techniques learned in 5.1.1
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