# Pre Calc

### Parents, please note that these standards are listed in the order, and for the amount of time, that most Beyond Textbooks schools follow. These are guidelines, and your child's school may vary.

#### Semester 1:

1. 12.M.F.IF.B.06: I can calculate and interpret the rate of change between two variables in a function. - 45 Days
2. 12.M.F.IF.C.07e: I can graph exponential and logarithmic functions showing intercepts, maximums and minimums. - 35 Days
3. 12.M.F.IF.C.07cd: I can graph polynomial functions. I can graph rational functions. - 35 Days
4. 12.M.F.IF.C.07ab: I can graph linear and quadratic functions. I can graph radical, piece-wise and step functions. - 35 Days
5. 12.M.N.CN.C.08: I can extend polynomial identities to complex numbers and write in factored form. - 10 Days
6. 12.M.N.CN.A.01-03: I can identify the standard form of a complex number. I can add, subtract, and multiply complex numbers. I can find the conjugate of a complex number and use the conjugate to find a quotient and moduli of a complex number. - 10 Days
7. 12.M.F.BF.A.01bc: I can create a function describing the relationship between two quantities using arithmetic operations. I can compose functions that describe relationships between two quantities. - 35 Days
8. 12.M.F.BF.B.05: I can use the relationship between functions exponential and logarithmic functions, which are inverses, to solve problems. - 35 Days
9. 12.M.F.BF.B.04: I can find and write inverse functions. - 35 Days
10. 12.M.F.BF.B.03: I can identify transformations for functions using their parent graphs as reference. - 35 Days
11. 12.M.A.APR.D.07: I can simplify rational expressions. - 35 Days
12. 12.M.N.CN.C.09: I can know the Fundamental Theorem of Algebra; show that it is true for quadratic polynomials. - 35 Days
13. 12.M.G.GPE.A.01: I can derive the equation of a circle of given center and radius using the Pythagorean Theorem; complete the square to find the center and radius of a circle given by an equation. - 10 Days
14. 12.M.G.GPE.A.02: I can derive the equation of a parabola given a focus and directrix. - 10 Days
15. 12.M.G.GPE.A.03: I can derive the equations of ellipses and hyperbolas given the foci, using the fact that the sum or difference of distances from the foci is constant. - 10 Days
16. 12.M.G.GMD.A.02: I can give an informal argument using Cavalieri’s principle for the formulas for the volume of a sphere and other solid figures. Give an informal argument using Cavalieri’s principle for the formulas for the volume of a sphere and other solid figures.           - 10 Days

#### Semester 2:

1. 12.M.F-TF.A.01-04: I understand that the radian measure of an angle is the length of the arc on the unit circle subtended by the angle and can apply this. I understand how coordinates for the angles on the unit circle relate to sine and cosine ratios of a right triangle. I can solve problems using special triangles and the unit circle to obtain exact answers. I can use the unit circle to explain symmetry and periodicity of trigonometric functions. - 30 Days
2. 12.M.F.IF.C.07e (trig): I can graph trigonometric functions. - 20 Days
3. 12.M.F-TF.B.05-07: I can choose trigonometric functions to model periodic phenomena with specified amplitude, frequency, and midline. I can use domain restrictions on trigonometric functions to construct inverse functions. I can use inverse functions to solve trigonometric equations that arise in modeling contexts and evaluate the solutions using technology, interpreting them in terms of the context. - 20 Days
4. 12.M.F.TF.C.08-09: I can prove the addition and subtraction formulas for sine, cosine, and tangent and use them to solve problems. I can prove the addition and subtraction formulas for sine, cosine, and tangent and use them to solve problems. - 15 Days
5. 12.M.G.SRT.D.09-11: I can derive and use the formula A = 1?2 ab sin(C) for the area of a triangle. I can prove the Laws of Sines and Cosines and use them to solve problems. I can apply the law of cosines and sines to find unknown measurements. - 10 Days
6. 12.M.N.VM.A.01: I can recognize vector quantities as having both magnitude and direction. Represent vector quantities by directed line segments, and use appropriate symbols for vectors and their magnitudes - 10 Days
7. 12.M.N.VM.A.02: I can find the components of a vector by subtracting the coordinates of an initial point from the coordinates of a terminal point. - 10 Days
8. 12.M.N.VM.A.03: I can solve problems involving velocity and other quantities that can be represented by vectors. - 10 Days
9. 12.M.N.VM.A.04: I can add and subtract vectors. - 10 Days
10. 12.M.N.VM.A.05: I can multiply a vector by a scalar. - 10 Days

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