Mathematics II Standards Overview for Parents
Standard Description of the Georgia Performance Standard
Number and Operations
MM2N1a Write square roots of negative numbers in imaginary form
MM2N1b Write complex numbers in the form a + bi
MM2N1c (add) Add complex numbers
MM2N1c (subtract) Subtract complex numbers
MM2N1c (multiply) Multiply complex numbers
MM2N1c (divide) Divide complex numbers
MM2N1d Simplify expressions involving complex numbers
Algebra
MM2A1a Write absolute value functions as piecewise functions
MM2A1b (domain) Investigate and explain domain of a variety of piecewise functions
MM2A1b (range) Investigate and explain range of a variety of piecewise functions
MM2A1b (vertex) Investigate and explain the vertex of a variety of piecewise functions
MM2A1b (axis of symmetry) Investigate and explain the axis of symmetry of a variety of piecewise functions
MM2A1b (zeros) Investigate and explain zeros and intercepts of a variety of piecewise functions
MM2A1b (extrema) Investigate and explain extrema of a variety of piecewise functions
MM2A1b (points of discontinuity) Investigate and explain points of discontinuity of a variety of piecewise functions
MM2A1b (increase/decrease) Investigate and explain intervals of increase or decrease of a variety of piecewise functions
MM2A1b (constant) Investigate and explain constant intervals of a variety of piecewise functions
MM2A1b (rates of change) Investigate and explain rates of change of a variety of piecewise functions
MM2A1c (equations analytically) Solve absolute value equations analytically
MM2A1c (equations graphically) Solve absolute value equations graphically
MM2A1c (equations technology) Solve absolute value equations by using appropriate technology
MM2A1c (inequalities
Solve absolute value inequalities analytically
analytically)
MM2A1c (inequalities
Solve absolute value inequalities graphically
graphically)
MM2A1c (inequalities
Solve absolute value inequalities using appropriate technology
technology)
MM2A2a Extend properties of exponents to include all integer exponents
MM2A2b (domain) Investigate and explain domain of exponential functions
MM2A2b (range) Investigate and explain range of exponential functions
MM2A2b (vertex) Investigate and explain the vertex of exponential functions
MM2A2b (axis of symmetry) Investigate and explain the axis of symmetry of exponential functions
MM2A2b (zeros) Investigate and explain zeros and intercepts of exponential functions
MM2A2b (extrema) Investigate and explain extrema of exponential functions
MM2A2b (points of discontinuity) Investigate and explain points of discontinuity of exponential functions
MM2A2b (increase/decrease) Investigate and explain intervals of increase or decrease of exponential functions
MM2A2b (rates of change) Investigate and explain rates of change of exponential functions
MM2A2b (end behavior) Investigate and explain end behavior of exponential functions
MM2A2c Graph transformations of f(x) = ax
MM2A2d (equations analytically) Solve simple exponential equations analytically
MM2A2d (equations graphically) Solve simple exponential equations graphically
MM2A2d (equations technology) Solve simple exponential equations by using appropriate technology
MM2A2d (inequalities
Solve simple exponential inequalities analytically
analytically)
MM2A2d (inequalities
Solve simple exponential inequalities graphically
graphically)
MM2A2d (inequalities
Solve simple exponential inequalities using appropriate technology
technology)
MM2A2e Understand and use basic exponential functions as models or real phenomena
MM2A2f Understand and recognize geometric sequences as exponential functions with domains that are whole numbers
MM2A2g Interpret the constant ratio in a geometric sequence as the base of the associated exponential function
MM2A3a Convert quadratic functions between standard form and vertex form
MM2A3b Graph quadratic functions as transformations of the function f(x) = x2
MM2A3c (domain) Investigate and explain domain of quadratic functions
MM2A3c (range) Investigate and explain range of quadratic functions
MM2A3c (vertex) Investigate and explain the vertex of quadratic functions
MM2A3c (axis of symmetry) Investigate and explain the axis of symmetry of quadratic functions
MM2A3c (zeros) Investigate and explain the zeros and intercepts of quadratic functions
MM2A3c (extrema) Investigate and explain the extrema of quadratic functions
MM2A3c (intervals of
Investigate and explain the intervals of increase and decrease of quadratic functions
increase/decrease)
MM2A3c (rates of change) Investigate and explain the rates of change of quadratic functions
MM2A3d Explore arithmetic series and various ways of computing their sums
MM2A3e Explore sequences of partial sums of arithmetic series as examples of quadratic functions
MM2A4a Solve quadratic equations graphically using appropriate technology
MM2A4b (factoring) Find real and complex roots of quadratic equations by factoring
MM2A4b (squre roots) Find real and complex roots of quadratic equations by taking square roots
MM2A4b (quadratic formula) Find real and complex roots of quadratic equations by applying the quadratic formula
MM2A4c (technology) Analyze the nature of the roots of quadratic equations using technology
MM2A4c (discriminant) Analyze the nature of the roots of quadratic equations using the discriminant
MM2A4d (graphically) Solve quadratic inequalities graphically
MM2A4d (algebraically) Solve quadratic inequalities algebraically
MM2A4d (describe solutions) Describe the solutions to quadratic inequalities using linear inequalities
MM2A5a Discuss the characteristics of functions and their inverses including one-to-oneness, domain and range
MM2A5b Determine inverses: linear, quadratic, power and rational functions, including restricted domains
MM2A5c Explore the graphs of functions and their inverses
Mathematics II Standards Overview for Parents
MM2A5d Use composition to verify that functions are inverses of each other
Geometry
MM2G1a Determine the lengths of sides of 30° - 60°- 90° triangles
MM2G1b Determine the lengths of sides of 45° - 45°- 90° triangles
MM2G2a Discover the relationship of the trigonometric ratios for similar right triangles
MM2G2b Explain the relationship between the trigonometric ratios of complementary angles in right triangles
MM2G2c Solve right triangle application problems using the trigonometric ratios
MM2G3a Understand and use properties of chords, tangents and secants as an application of triangle similarity
MM2G3b Understand and use properties of central, inscribed and related angles
MM2G3c (arc) Use the properties of circles to solve problems involving the length of an arc
MM2G3c (sector area) Use the properties of circles to solve problems involving the area of a sector
MM2G3d Justify measurements and relationships in circles using geometric and algebraic properties
MM2G4a (surface area) Use and apply surface area of a sphere
MM2G4a (volume) Use and apply volume of a sphere
MM2G4b Determine the effect on surface area and volume of changing the radius or diameter of a sphere
Data Analysis
MM2D1a Pose a question and collect sample data from at least two different populations
MM2D1b (mean) Understand and calculate the means of sets of data
MM2D1b (standard deviation) Understand and calculate the standard deviations of sets of data
MM2D1c Use means and standard deviations to compare data sets
MM2D1d (multiple random Compare the means and standard deviations of random samples with the corresponding population parameters,
samples) including those population parameters for normal distribution
MM2D1d (variablility) Observe that the different sample means vary from one sample to the next and that the distribution of the sample
means has less variability than the population distribution
MM2D2a (linear) Gather and plot data that can be modeled with a linear function
MM2D2a (quadratic) Gather and plot data that can be modeled with a quadratic function
MM2D2b Examine the issues of curve fitting using median-median line and eyeballing
MM2D2c (linear) Understand and apply linear regression for curve fitting using appropriate technology
MM2D2c (quadratic) Understand and apply quadratic regression for curve fitting using appropriate technology
MM2D2d Investigate issues that arise when using data to explore the relationship between two variables, including confusion
between correlation and causation