MPS.PS.1 Make sense of problems and persevere in solving them strategically.
MPS.RC.1 Explain ideas using precise and contextually appropriate mathematical language, tools, and models.
MPS.C.1 Demonstrate a deep and flexible conceptual understanding of mathematical ideas, operations, and relationships while making real-world connections.
MPS.AJ.1 Use critical thinking skills to reason both abstractly and quantitatively.
MPS.SP.1 Identify and apply regularity in repeated reasoning to make generalizations.
PC.MGSR.1.1 Identify and graph different conic sections given the equations in standard form.
PC.MGSR.1.2 Identify different conic sections in general form and complete the square to convert the equation of a conic section into standard form.
PC.MGSR.2.1 Determine the area of a triangle to solve problems.
PC.MGSR.2.2 Prove and apply the Law of Sines and the Law of Cosines to find unknown measurements in right and non-right triangles.
PC.MGSR.2.3 Derive the formulas for the length of an arc and the area of a sector in a circle and apply these formulas to solve mathematical and real-world situations.
PC.MGSR.2.4 Determine geometrically the values of the sine, cosine, and tangent for π/6 , π/4 , and π/3 by special triangles, and use the unit circle to express the values of sine, cosine, and tangent for π - π₯, π + π₯, and 2π - π₯ in terms of their values for π₯, where π₯ is any real number.
PC.MGSR.2.5 Define the six trigonometric ratios in terms of x, y, and r using the unit circle centered at the origin of the coordinate plane and interpret radian measures of angles as a rotation both counterclockwise and clockwise around the unit circle.
PC.MGSR.2.6 Explain symmetry, both odd and even, and periodicity of trigonometric functions.Β
PC.PAFR.1.1 Combine and compose functions algebraically, tabularly, and graphically.
PC.PAFR.1.2 Find the inverse of functions and verify algebraically, numerically, and graphically.
PC.PAFR.1.3 Compare the key features of a function and its inverse function and use the relationship to model real-world situations and solve problems.
PC.PAFR.1.4 Graph and describe the effect on the graph π(π₯) of π(π₯)+π, π(π₯-π), ππ(π₯), and π(π ), for specific values of both negative and positive values of k. Given the graph, identify possible values of k.Β
PC.PAFR.2.1 Graph rational functions and describe their key features.
PC.PAFR.2.2 Solve rational equations and inequalities in one variable and explain when extraneous solutions may arise.
PC.PAFR.5.1 Graph trigonometric functions and their inverses and describe their key features.
PC.PAFR.5.2 Restrict the domain of a trigonometric function to define the six inverse trigonometric functions, graph the inverse function, and evaluate inverse trigonometric expressions.
PC.PAFR.5.3 Use inverse functions to solve trigonometric equations that arise in modeling contexts; evaluate the solutions and interpret them in terms of the context.
PC.PAFR.6.1 Apply the fundamental trigonometric identities to simplify expressions and verify other identities.
PC.PAFR.6.2 Apply the sum, difference, double-angle, and half-angle formulas for sine, cosine, and tangent and use them to solve problems.
PC.PAFR.6.3 Model real-life situations and solve problems involving trigonometric equations.