Georgia Math Standards
3.1.1: Analyze piecewise-defined functions using different representations.
PC.FGR.2.1: Graph piecewise-defined functions, including step functions and absolute value functions.
Absolute Value Equations and Inequalities
Absolute Value with Linear Functions
Distance-Time Graphs
Distance-Time Graphs - Metric
Distance-Time and Velocity-Time Graphs
Distance-Time and Velocity-Time Graphs - Metric
PC.FGR.2.2: Describe characteristics by interpreting the algebraic form and graph of a piecewise-defined function.
Absolute Value Equations and Inequalities
Absolute Value with Linear Functions
Distance-Time Graphs
Distance-Time Graphs - Metric
Distance-Time and Velocity-Time Graphs
Distance-Time and Velocity-Time Graphs - Metric
3.1.2: Analyze rational functions using different representations.
PC.FGR.2.4: Divide polynomials using various methods.
Dividing Polynomials Using Synthetic Division
PC.FGR.2.5: Graph rational functions and identify key characteristics.
General Form of a Rational Function
Rational Functions
4.1.1: Define and analyze trigonometric relationships.
PC.FGR.3.1: Use the concept of a radian as the ratio of the arc length to the radius of a circle to establish the existence of 2pi radians in one revolution.
PC.FGR.3.2: Utilize right triangles on the unit circle to determine the values of the six trigonometric ratios for pi/6, pi/4 , and pi/3. Use reflections of the triangles as reference angles to establish known values in all four quadrants of the coordinate plane.
Cosine Function
Sine Function
Tangent Function
PC.FGR.3.3: Define the six trigonometric ratios in terms of x, y, and r using the unit circle centered at the origin of the coordinate plane. Interpret radian measures of angles as a rotation both counterclockwise and clockwise around the unit circle.
Cosine Function
Radians
Sine Function
Tangent Function
PC.FGR.3.4: Derive the fundamental trigonometric identities.
Cosine Function
Sine Function
Sum and Difference Identities for Sine and Cosine
PC.FGR.3.5: Determine the value(s) of trigonometric functions for a set of given conditions.
4.1.2: Analyze trigonometric functions and their inverses.
PC.FGR.3.6: Graph and write equations of trigonometric functions using period, phase shift, and amplitude in modeling contexts.
Cosine Function
Sine Function
Tangent Function
Translating and Scaling Sine and Cosine Functions
PC.FGR.3.7: Classify the six trigonometric functions as even or odd and describe the symmetry.
Cosine Function
Sine Function
Tangent Function
5.1.1: Verify trigonometric identities and solve trigonometric equations.
PC.AGR.4.1: Apply the fundamental trigonometric identities to simplify expressions and verify other identities.
Simplifying Trigonometric Expressions
PC.AGR.4.2: Use sum, difference, double-angle, and half-angle formulas for sine, cosine, and tangent to establish other identities and apply them to solve problems.
Sum and Difference Identities for Sine and Cosine
6.1.1: Analyze conic sections using different representations.
PC.GSR.5.1: Identify and graph different conic sections given the equations in standard form.
Circles
Ellipses
Hyperbolas
Parabolas
PC.GSR.5.2: Identify different conic sections in general form and complete the square to convert the equation of a conic section into standard form.
7.1.1: Perform operations with vectors in context.
PC.AGR.6.1: Represent vector quantities as directed line segments; represent magnitude and direction of vectors in component form using appropriate mathematical notation.
PC.AGR.6.2: Add and subtract vectors and multiply vectors by a scalar to find the resultant vector.
PC.AGR.6.3: Add and subtract vectors on a coordinate plane using different methods.
PC.AGR.6.4: Solve contextual vector problems, such as those involving velocity, force, and other quantities.
2D Collisions
Adding Vectors
Golf Range
Vectors
8.1.1: Analyze sequences using multiple representations.
PC.PAR.7.1: Demonstrate that sequences are functions whose domain is the set of natural numbers.
Arithmetic Sequences
Arithmetic and Geometric Sequences
Geometric Sequences
PC.PAR.7.2: Represent sequences graphically, numerically, and symbolically.
Arithmetic Sequences
Arithmetic and Geometric Sequences
Geometric Sequences
Correlation last revised: 5/26/2022