| GLE 1 |
Read, write, and perform basic operations on complex numbers
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| GLE 2 |
Evaluate and perform basic operations on expressions containing rational exponents
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| GLE 3 |
Describe the relationship between exponential and logarithmic equations
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| GLE 4 |
Translate and show the relationships among non-linear graphs, related tables of values, and algebraic symbolic representations |
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| GLE 5 |
Factor simple quadratic expressions including general trinomials, perfect squares, difference of two squares, and polynomials with common factors |
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| GLE 6 |
Analyze functions based on zeros, asymptotes, and local and global characteristics of the function |
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| GLE 7 |
Explain, using technology, how the graph of a function is affected by change of degree, coefficient, and constants in polynomial, rational, radical, exponential, and logarithmic functions |
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| GLE 8 |
Categorize non-linear graphs and their equations as quadratic, cubic, exponential, logarithmic, step function, rational, trigonometric, or absolute value
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| GLE 9 |
Solve quadratic equations by factoring, completing the square, using the quadratic formula, and graphing
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| GLE 10 |
Model and solve problems involving quadratic, polynomial, exponential, logarithmic, step function, rational, and absolute value equations using technology |
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| GLE 11 |
Calculate angle measures in degrees, minutes, and seconds |
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| GLE 12 |
Explain the unit circle basis for radian measure and show its relationship to degree measure of angles |
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| GLE 13 |
| Identify and apply the unit circle definition to trigonometric functions and use this definition to solve real-life problems |
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| GLE 14 |
Use the Law of Sines and the Law of Cosines to solve problems involving triangle measurements
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| GLE 15 |
Identify conic sections, including the degenerate conics, and describe the relationship of the plane and double-napped cone that forms each conic
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| GLE 16 |
Represent translations, reflections, rotations, and dilations of plane figures using sketches, coordinates, vectors, and matrices |
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| GLE 17 |
Discuss the differences between samples and populations |
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| GLE 18 |
Devise and conduct well-designed experiments/surveys involving randomization and considering the effects of sample size and bias |
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| GLE 19 |
Correlate/match data sets or graphs and their representations and classify them as exponential, logarithmic, or polynomial functions |
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| GLE 20 |
Interpret and explain, with the use of technology, the regression coefficient and the correlation coefficient for a set of data |
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| GLE 21 |
Describe and interpret displays of normal and non-normal distributions
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| GLE 22 |
Explain the limitations of predictions based on organized sample sets of data
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| GLE 23 |
Represent data and solve problems involving Euler and Hamiltonian paths |
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| GLE 24 |
Model a given set of real-life data with a non-linear function |
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| GLE 25 |
Apply the concept of a function and function notation to represent and evaluate functions
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| GLE 26 |
| Represent and solve problems involving n th terms and sums for arithmetic and geometric series |
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| GLE 27 |
Compare and contrast the properties of families of polynomial, rational, exponential, and logarithmic functions, with and without technology |
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| GLE 28 |
Represent and solve problems involving the translation of functions in the coordinate plane
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| GLE 29 |
Determine the family or families of functions that can be used to represent a given set of real-life data, with and without technology |
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