# Algebra 3

### 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.

#### Benchmark 1:

1. Alg3.M.N.CN.A.02: I can add, subtract, and multiply complex numbers. - 5 Days
2. 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. - 5 Days
3. Alg3.M.A.CED.A.01 Quadratics: I can create equations and inequalities in one variable and use them to solve problems (quadratics). - 15 Days
4. Alg3.M.F.IF.C.07a: I can graph linear and quadratics functions. - 15 Days
5. 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. - 15 Days
6. Alg3.M.A.APR.B.02: I will be able to apply the Remainder Theorem to determine any zeros of a polynomial function. - 20 Days
7. 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. - 20 Days
8. Alg3.M.A.APR.C.05: I will be able to expand a binomial using Binomial expansion, Pascal's triangle, and combinatorial methods. - 20 Days
9. Alg3.M.F.IF.C.07c: I can graph polynomial functions showing intercepts, maximums and minimums, and end behavior. - 20 Days
10. Alg3.M.N.RN.A.02: I can rewrite radical expressions to expressions using rational exponents. - 5 Days
11. Alg3.M.A.CED.A.01 Radical: I can create equations and inequalities in one variable and use them to solve problems (radicals). - 15 Days
12. Alg3.M.F.IF.C.07b: I can graph square roots, cube roots, and piecewise-defined functions, including step functions and absolute value functions. - 15 Days

#### Benchmark 2:

1. Alg3.M.A.APR.D.07: I can simplify rational expressions. - 20 Days
2. Alg3.M.A.APR.D.06: I can rewrite rational expressions in different forms. -20 Days
3. Alg3.M.A.CED.A.01 Rational: I can create equations and inequalities in one variable and use them to solve problems (rational). - 20 Days
4. Alg3.M.F.IF.C.07d: I can graph rational functions using zeroes, asymptotes, and end behavior. - 20 Days
5. Alg3.M.F.IF.C.07e (Exponential & Logs): I can graph exponential and logarithmic functions showing intercepts, maximums and minimums, and end behavior. - 15 Days
6. Alg3.M.F.LE.A.04: I can solve exponential functions by estimating graphically and calculating algebraically. - 15 Days

#### Benchmark 3:

1. Alg3.M.F.BF.B.04a: I can find and write inverse functions. - 10 Days
2. Alg3.M.F.BF.B.04c: I can find and write inverse values from a table or graph. - 10 Days
3. 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. - 10 Days
4. Alg3.M.F.BF.A.01c: I can write exponential and logarithmic functions that describe a relationships between two quantities. - 10 Days
5. Alg3.M.A.REI.C.07: I will be able to find the solution(s) of a system of equations. - 25 Days
6. Alg3.M.A.REI.C.08: I can write a system of linear equations as a single matrix equation. - 25 Days
7. Alg3.M.A.REI.C.09: I can find the inverse of a matrix and use it to solve a system of linear equations. - 25 Days
8. Alg3.M.N.VM.C.08: I can add, subtract and multiply matrices. - 25 Days

#### Benchmark 4:

1. 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. - 10 Days
2. Alg3.M.G.SRT.C.08: I can use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems. - 10 Days
3. 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. - 20 Days
4. 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. - 20 Days
5. 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. - 20 Days
6. Alg3.M.F.IF.C.07e (Trigonometric): I can graph trigonometric functions. - 15 Days

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