Download LT # Concept Core Std Unit 1: Solving Absolute Value and

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Concept
Unit 1: Solving Absolute Value and Quadratic Equations 1
I can solve an absolute value equation in one variable.
I can solve quadratic equations by taking square roots.
I can solve quadratic equations by factoring.
I can solve quadratic equations by using completing the square.
I can solve a quadratic equation that has real solutions by using the quadratic formula.
Unit 2: Complex Numbers
I can identify that i is a complex number where i^2 = -1 and i =sqrt -1.
I can describe complex numbers in terms of their real and imaginary parts.
I can apply the commutative, associative, and distributive properties to complex numbers in order to add and
subtract complex numbers.
I can apply the commutative, associative, and distributive properties to complex numbers in order to multiply
complex numbers, substituting -1 for i^2.
I can recognize that powers of i can be rewritten in terms of i or 1 and use the relation i^2 = -1 to justify it.
Unit 3: Solving Quadratic Equations 2
I can determine when a quadratic equation in standard form, ax^2 + bx + c = 0, has complex roots by looking at a
graph of f(x) = ax^2 + bx + c or by calculating the discriminant.
I can determine the complex solutions of a quadratic equation with real coefficients.
Unit 4: Graphing Quadratic Equations
I can factor a polynomial to reveal zeros, extreme values, and symmetry.
I can complete the square in a quadratic function to show zeros, extreme values, and symmetry.
I can explain why the x-coordinates of a point of intersection of two graphs are the solution to the equation
f(x)=g(x).
I can determine the approximate solutions of a system of equations using technology, tables, or successive
approximations.
I can solve a system of equations consisting of a linear equation and quadratic equation algebraically and
graphically.
Unit 5: Graphing Functions 1
I can graph absolute value functions.
I can graph piecewise functions including step functions.
I can describe the transformation(s) that changed a graph of f(x) by replacing with f(x) + k, k f(x), f(kx), and f(x + k)
for specific values of k (both positive and negative).
Unit 6: Radical Equations
I can write radical expressions with rational exponents and vice versa.
I can simplify radical expressions.
I can add, subtract, and multiply radical expressions.
Core Std
A-CED.1; A-REI.1; A-REI.3
A-REI4b
A-REI4b
A-REI4a and b
A-REI4a and b, N-CN7
N-CN1
N-CN1
N-CN2
N-CN2
N-CN2
N-CN7
N-CN7
F-IF8a
F-IF8a
A-REI11
A-REI11
A-REI7
F-IF7b, F-IF4, F-IF5
F-IF7b, F-IF4, F-IF5
F-BF3
N-RN2
A-SSE2, N-RN2
N-RN2
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I can divide radical expressions and rewrite them by rationalizing the denominator.
I can solve radical equations in one variable and determine extraneous solutions.
I can explain how extraneous solutions may arise from radical equations.
I can graph square root and cube root functions, showing intercepts and end behavior.
Unit 7: Graphing Functions 2
I can describe the transformation(s) that changed a graph of f(x) by replacing with f(x) + k, k f(x), f(kx), and f(x + k)
for specific values of k (both positive and negative).
I can determine the translation value k, given a graph for slides, shifts, and stretches.
I can explain the translation effects on the graph of a function using technology.
I can describe and sketch a graphic representation of a function given a verbal description of the relationship.
I can calculate and interpret the average rate of change of a function over a specified interval.
I can estimate the rate of change over a given interval from a graph.
I can compare properties of two functions represented differently (graphs, tables, equations, verbal descriptions)
and draw conclusions based on those comparisons.
Unit 8: Rational Expressions and Equations
I can simplify rational expressions.
I can multiply and divide rational expressions.
I can add and subtract rational expressions.
I can solve rational equations in one variable and determine extraneous solutions.
I can explain how extraneous solutions may arise from rational equations.
Unit 9: Functions
I can combine standard function types using arithmetic operations.
I can solve formulas for a particular variable of interest.
I can determine the inverse of a function by solving algebraically.
I can find the composition of two functions
I can verify by composition that one function is an inverse of another.
Unit 10: Solving Exponential and Logarithmic Equations
I can solve problems involving the sum of a finite geometric series.
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I can create and evaluate exponential functions to model growth or decay.
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I can interpret parts of exponential functions.
I can write equivalent forms of exponential and logarithmic equations.
I can evaluate the logarithm to find a real number approximation (using technology).
I can simplify and evaluate expressions involving logarithms.
I can solve logarithmic and exponential equations using algebra.
I can solve real-world problems using exponential and logarithmic relationships.
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N-RN2
A-REI2
A-REI2
F-IF7b, F-IF4, F-IF5
F-BF3
F-BF3
F-BF3
F-IF4
F-IF6
F-IF6
F-IF9
A-APR7
A-APR7
A-APR7
A-REI2
A-REI2
F-BF1b
A-CED4
F-BF4a
F-BF1c
F-BF4b
A-SSE4
A-SSE3c, F-IF8b, F-LE1a, FLE2
F-IF8b
F-LE4, F-BF5
F-LE4
F-LE4, F-BF5
F-LE4, F-BF5
F-LE4, F-BF5, F-LE1c
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Unit 11: Graphing Functions 3
I can graph exponential functions, showing intercepts and end behavior.
I can graph logarithmic functions, showing intercepts and end behavior.
Unit 12: Probability
I can describe subsets of a sample space in terms of outcomes, unions, intersections, and complements.
I can determine whether two events are independent based on their probability.
I can explain the conditional probability of A given B.
I can explain independence of A and B using conditional probability.
I can construct and interpret two-way frequency tables of data when two categories are associated with each
object.
I can determine independence of events using a two-way table as a sample space.
I can approximate conditional probabilities using a two-way table as a sample space.
I can distinguish between conditional probability and independence in everyday language and everyday
situations.
I can determine the conditional probability of two events and interpret the solution within a given context.
I can calculate the probability P(A or B) by using the Addition Rule.
I can interpret the solution to P(A or B) in the given context.
I can calculate the probability of compound events and interpret the solution in context.
I can solve problems involving permutations.
I can solve problems involving combinations.
I can solve problems by distinguishing between permutations and combinations.
Unit 13: Statistics
I can define statistics in terms of inferences, population parameters, and random sampling.
I can decide if a model is consistent with results, given a data-generating process such as simulation.
I can compare and contrast sample surveys, experiments, and observational studies.
I can explain how randomization relates to sample surveys, experiments, and observational studies.
I can estimate a population mean or proportion given data from a sample survey.
I can determine the margin of error using simulation models for random sampling.
I can compare two treatments using data from a randomized experiment.
I can decide if differences are significant by using simulations.
I can evaluate reports based on data.
I can determine when a data set warrants a normal distribution.
I can determine the mean and standard deviation of a data set and fit it to a normal distribution.
I can estimate population percentages based on mean, standard deviation, and distribution.
I can estimate the areas under the normal curve using calculators, spreadsheets, and tables.
I can analyze probabilities to make fair decisions.
I can analyze decisions and strategies using probability concepts.
F-IF4, F-IF5, F-IF7e, F-LE3
F-IF4, F-IF5, F-IF7e
S-CP1
S-CP2
S-CP3
S-CP3
S-CP4
S-CP4
S-CP4
S-CP5
S-CP6
S-CP7
S-CP7
S-CP8
S-CP9
S-CP9
S-CP9
S-IC1
S-IC2
S-IC3
S-IC3
S-IC4
S-IC4
S-IC5
S-IC5
S-IC6
S-ID4
S-ID4
S-ID4
S-ID4
S-MD6
S-MD7
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Unit 14: Introduction to Polynomials
I can determine the zeros of a polynomial from its factors.
I can sketch the graph of a polynomial given its zeros.
A-APR3
A-APR3