|1. Solve problems using volume formulas.
student will use given information about figu es, such as length of a side,
area of a face, or volume of a solid, to calculate missing information. Any
required volume formulas will be provided to students either on the formula
sheet or within the question.
|2. Use trigonometic ratios and the Pythagorean Theorem to solve
applied problems involving right triangles.
student will use information about triangle side lengths or angles presented
in a context to calculate missing information using the Pythagorean theorem
and/or trigonometric ratios.
|Procedural Skill and Fluency
|3. Perform arithmetic operations on complex numbers.
student will add, subtract, multiply, divide, and simplify complex numbers.
|4. Convert between degrees and radians and use radians to
determine arc length; use trigonometric functions of radian measure.
student will convert between angle measures in degrees and radians in order
to calculate arc lengths by recognizing the relationship between an angle
measured in radians and an arc length, evaluating trigonometric functions of
angles in radians.
|5. Apply theorems about circles to find arc length, angle
measures, chord lengths, and areas of sectors.
student will use given information about circles and lines to calculate
missing values for radius, diameter, chord length, angle, arc, and sector
|6. Use concepts and theorems about congruence and similarity to
solve problems about lines, angles, and triangles.
student will use theorems about triangles and intersecting lines to determine
missing lengths and angle measures of triangles. The student may also be
asked to provide a missing length or angle to satisfy a given theorem.
|7. Use the relationship between similarity, right triangles, and
trigonometric ratios; use the relationship between sine and cosine of
student will use trigonometry and theorems about triangles and intersecting
lines to determine missing lengths and angle measures of right triangles. The
student may also be asked to provide a missing length or angle that would
satisfy a given theorem.
|8. Create or use an equation in two variables to solve a problem
about a circle in the coordinate plane.
student will create an equation or use properties of an equation of a circle
to demonstrate or determine a property of the circle’s graph.