# Algebra 3

## Algebra 3 Standards

##### Quarter 1 Standards:
1. Alg3.M.A.APR.B.02: I will be able to apply the Remainder Theorem to determine any zeros of a polynomial function.

2. Alg3.M.A.APR.B.03: I can identify the zeros of a polynomial and use the zeros to construct a rough graph of the function.

3. Alg3.M.A.APR.C.05: I will be able to expand a binomial using Binomial expansion, Pascal's triangle, and combinatorial methods.

4. Alg3.M.A.CED.A.01 Quadratics: I can create equations and inequalities in one variable and use them to solve problems (quadratics).

5. Alg3.M.A.CED.A.01 Radical: I can create equations and inequalities in one variable and use them to solve problems (radicals).

6. Alg3.M.F.IF.C.07a: I can graph linear and quadratics functions.

7. Alg3.M.F.IF.C.07b: I can graph square roots, cube roots, and piecewise-defined functions, including step functions and absolute value functions.

8. Alg3.M.F.IF.C.07c: I can graph polynomial functions showing intercepts, maximums and minimums, and end behavior.

9. Alg3.M.F.IF.C.08a: I will be able to factor and complete the square in a quadratic function to show zeros, extreme values, and symmetry of the graph.

10. Alg3.M.N.CN.A.02: I can add, subtract, and multiply complex numbers.

11. Alg3.M.N.CN.A.03: I can find the conjugate of a complex number and use the conjugate to find a quotient of a complex number.

12. Alg3.M.N.RN.A.02: I can rewrite radical expressions to expressions using rational exponent.

##### Quarter 2 Standards:
1. Alg3.M.A.APR.D.07: I can simplify rational expressions.

2. Alg3.M.A.APR.D.06: I can rewrite rational expressions in different forms.

3. Alg3.M.A.CED.A.01 Rational: I can create equations and inequalities in one variable and use them to solve problems (rational).

4. Alg3.M.F.IF.C.07d: I can graph rational functions using zeroes, asymptotes, and end behavior.

5. Alg3.M.F.IF.C.07e (Exponential & Logs): I can graph exponential and logarithmic functions showing intercepts, maximums and minimums, and end behavior.

6. Alg3.M.F.LE.A.04: I can solve exponential functions by estimating graphically and calculating algebraically.

##### Quarter 3 Standards:
1. Alg3.M.A.REI.C.07: I will be able to find the solution(s) of a system of equations.

2. Alg3.M.A.REI.C.08: I can write a system of linear equations as a single matrix equation.

3. Alg3.M.A.REI.C.09: I can find the inverse of a matrix and use it to solve a system of linear equations.

4. Alg3.M.F.BF.A.01c: I can write exponential and logarithmic functions that describe a relationships between two quantities.

5. Alg3.M.F.BF.B.04a: I can find and write inverse functions.

6. Alg3.M.F.BF.B.04c: I can find and write inverse values from a table or graph.

7. Alg3.M.F.BF.B.05: I will be able to understand the relationship between exponents and logarithms and use this relationship to solve problems.

8. Alg3.M.N.VM.C.08: I can add, subtract and multiply matrices.

##### Quarter 4 Standards:
1. Alg3.M.F.IF.C.07e (Trigonometric): I can graph trigonometric functions.

2. Alg3.M.F.TF.A.01: I understand that radian measure of an angle is the length of the arc on the unit circle encompassed by the angle.

3. Alg3.M.F.TF.A.02: I can use the unit circle to evaluate trigonometric functions of real numbers and interpret radian measures of angles around the unit circle.

4. Alg3.M.F.TF.A.03: I can use special triangles to determine the values of sine, cosine, and tangent for ?/3, ?/4, and ?/6.

5. Alg3.M.G.SRT.C.06: I can understand that by similarity, side ratios in right triangles are properties of the angles in the triangle, leading to definitions of trigonometric.

6. Alg3.M.G.SRT.C.08: I can use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems.

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