Click Here for District Rubric
Algebra II/Trigonometry
Guiding Principle
A student at the
proficient level in Algebra II/Trigonometry will be able to demonstrate
understanding of high school mathematics by solving problems, reasoning,
communicating, representing, making connections and solving word problems based
on the following indicators:
|
Benchmark/Topics |
As a result of
studying Algebra II/Trigonometry, I will be able to: |
|
(1) Functions · Solving · Graphing · Composite · Inverse · Curve Fitting |
7.1.1 Demonstrate an understanding of functions when I can o Solve graphically, numerically and algebraically o Graph any type of function using its characteristics o Compose two or more functions o Determine and graph an inverse o Choose an appropriate function to model a set of data |
(2) Inequalities and
Absolute Value
· Solving · Graphing · Linear Programming |
3.3.2 Utilize algebraic methods to o Solve inequalities and absolute value equations/ inequalities o Graph inequalities and absolute value equations/ inequalities o Solve linear programming problems |
(3) Factoring
· Sum of Cubes · Difference of Cubes · Grouping (more difficult) · Solving polynomial equations of degree 2 and higher |
3.2.3 Apply methods of factoring to o Factor polynomials completely using the following methods: o Sum of cubes o Difference of cubes o Grouping (more difficult) o Solve polynomial equations of degree 2 and higher |
(4) Radicals and
Complex Numbers
· Simplify · Basic Operations · Rationalize · Solving |
2.2.4 Show understanding of radicals and complex numbers when I can o Simplify radicals and complex numbers o Perform basic operations with radicals and complex numbers o Rationalize radicals and complex numbers o Solve equations involving radicals and complex numbers |
|
(5) Quadratic Equations and Inequalities · Graphing · Solving · Curve Fitting |
3.3.5 Show understanding of quadratic equations and inequalities when I can o Graph quadratic equations/inequalities o Solve quadratic equations/inequalities o Use an appropriate method to model data that is quadratic in nature
|
(6) Systems of Equations
· Three equations, three unknowns · Systems of different degrees |
3.4.6 Solve systems of equations including o Systems with three equations, three unknowns o Systems of different degrees (e.g. linear and quadratic) |
(7) Integral and Fractional Exponents
· Rules of exponents · Simplifying · Graphing · Solving · Curve Fitting |
2.1.7 Demonstrate my understanding of integral and fractional exponents when I can o Apply the rules of exponents o Simplify expressions containing integral and fractional exponents o Graph equations containing integral and fractional exponents o Solve equations containing integral and fractional exponents o Use an appropriate method to model data that is exponential in nature |
|
(8) Rational Expressions, Equations and Inequalities § Simplify § Solve |
3.3.8 Show understanding of rational expressions, equations and inequalities when I can o Simplify rational expressions o Solve equations and inequalities that contain rational expressions |
|
(9) Introduction to Logarithms · Exponential form to Logarithmic form · Rules of Logarithms ·
Solving |
3.3.9 Demonstrate understanding of logarithms when I can o Write an expression in exponential form given logarithmic form o Write an expression in logarithmic form given exponential form o Apply the rules of logarithms to simplify and solve expressions/equations |
(10) Introduction to Trigonometry
· Vocabulary · Trig ratios · Converting degrees to radians and vice versa · Unit circle |
4.5.10 Show understanding of trigonometric concepts when I can o Use appropriate vocabulary o Apply trigonometry ratios to problem situations involving triangles o Convert degrees to radians o Convert radians to degrees o Identify relationships of the unit circle |
(11) Right Triangle Trig
· Solve right triangles |
4.5.11 Use the relationships of right triangle trigonometry to o Solve right triangles |
(12)
Law of Sines and Cosines
· Solving triangles · Ambiguous case |
4.5.12 Use the law of sines and law of cosines to o Solve triangles o Solve triangles involving the ambiguous case |
(13) Identities- Basic Eight, Sums and
Differences, Doubles and Halves
· Simplifying · Verifying · Solving |
7.0.13 Demonstrate understanding of trigonometric identities when I can o Simplify using trigonometric identities o Solve using trigonometric identities o Verify using trigonometric identities |
(14)
Graphing
§ Sine, Cosine, Tangent § Amplitude, Period, Phase Shift (vertical and horizontal) § Curve fitting |
7.2.14 Demonstrate knowledge of periodic functions when I can o Graph families of sine, cosine and tangent functions o Identify amplitude, period and phase shift o Use an appropriate method to model data that is periodic in nature |
*Benchmark Key – State Content Standard . State Benchmark . District Benchmark