• The New SAT:  Additional Topics in Math Domain
Details

 Application 1. Solve problems using volume formulas. The 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. The 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. The 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. The 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. The student will use given information about circles and lines to calculate missing values for radius, diameter, chord length, angle, arc, and sector area. Conceptual Understanding 6. Use concepts and theorems about congruence and similarity to solve problems about lines, angles, and triangles. The 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 complementary angles. The 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. The 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.