**SAT****® Preparation Course**

**Unit 4: Additional Topics in Math**

**Unit 4: Additional Topics in Math**

Additional topics will include geometric and trigonometric concepts.

**What will my child learn?**

Students will:

SAT.ATM.01 Add, subtract, multiply, divide, and simplify

**complex numbers**.

Algebra 2 (Unit 3 - N.CN.A.1)**Alignment to HCPSS Math Course(s) & Course Standard(s):**

**Check for Understanding:**Learnerator - Operations on complex numbers

SAT.ATM.02

**Use trigonometric 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.

Geometry (Unit 2 - G.SRT.C.7, G.SRT.C.8)**Alignment to HCPSS Math Course(s) & Course Standard(s):**

**Check for Understanding:**College Board - item 24 | Learnerator - Trigonometric Ratios & Pythagorean Theorem

SAT.ATM.03

**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.

Geometry (Unit 2 - G.SRT.B.5, G.CO.C.9)**Alignment to HCPSS Math Course(s) & Course Standard(s):**

**Check for Understanding:**College Board - item 16 | Ivy Global - item 6 | Learnerator - Congruence & geometric similarity

SAT.ATM.04

**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.

Geometry (Unit 2 - G.SRT.C.7)**Alignment to HCPSS Math Course(s) & Course Standard(s):**

**Check for Understanding:**Ivy Global - item 7 | Learnerator - Lengths & angles of triangles

SAT.ATM.05

**Convert between degrees and radians and use radians to determine arc lengths; 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.

Geometry (Unit 3 - G.C.B.5) Algebra 2 (Unit 7 - F.TF.A.1)**Alignment to HCPSS Math Course(s) & Course Standard(s):**

**Check for Understanding:**College Board - item 12 | College Board - item 16 | College Board - item 30 | Ivy Global - item 4 | Learnerator - Degrees & radians

SAT.ATM.06

**Apply theorems about circles to find arc lengths, 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.

Geometry (Unit 3 - G.C.B.5)**Alignment to HCPSS Math Course(s) & Course Standard(s):**

**Check for Understanding:**College Board - item 15 | Ivy Global - 5 | Learnerator - Theorems of circles

SAT.ATM.07

**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.

Geometry (Unit 3 - G.GPE.A.1)**Alignment to HCPSS Math Course(s) & Course Standard(s):**

**Check for Understanding:**College Board - item 17 | Ivy Global - item 8 | Learnerator - Circular equations

SAT.ATM.08

**Solve problems using volume formulas.**The student will use given information about figures, 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.

Geometry (Unit 4 - G.GMD.A.1, G.GMD.A.3)**Alignment to HCPSS Math Course(s) & Course Standard(s):**

**Check for Understanding:**College Board - item 24 | Learnerator - volume formulas

Tools and TechnologyGeoGebra is a dynamic math software tool that allows users to explore geometry, algebra, tables, graphing, statistics and other areas of math in one easy-to-use package. It can be downloaded for FREE on a computer or tablet device. |
More 4 ULooking for clarification on some of the vocabulary used in the Geometry course? A slight variation in units, click here to download the MD State Department of Education's (MSDE's) geometry glossary. The Khan Academy has produced videos of worked examples of concepts found in the Additional Topics in Math portion of the new SAT®. Khan Academy also has four official practice exams from College Board. |