Vocabulary Review for the SAT

Overview Students develop a good vocabulary as one of the advantages of going to college. It is a result of reading scholarly texts, writing papers and essays, and listening to professors expound on a myriad of subjects. The SAT tests vocabulary directly through sentence-completion and reading-passage questions, and indirectly through appropriate word choice in the […]

Math Review of Volume and Surface Area

Overview Solid objects have both volume and surface area. Formulas for calculations can be expressed using algebra, especially if the measurements of sides are stated by variables. The ratio of volume to surface area is important in applications in chemistry and biology. Measurement of Volume The volume of a solid is the amount of space […]

Math Review of Trigonometry and Navigation

Overview Trigonometry in the form of triangulation is at the heart of navigation, whether it is by land, sea, or air. GPS systems use triangulation to find and fix positions, extrapolating what is unknown from what is known. Triangulation is also used to measure the distances between earth and distant stars and galaxies, thus aiding […]

Math Review of Triangle Inequality

Overview Students can connect algebra to geometry by expressing geometric inequalities in compound inequality form. Since the sum of the lengths of any two sides of a triangle is greater than the length of the third side, there are three inequality statements. All three inequality statements must be true for three line segments to form […]

The Physics of Spinning Objects

Overview Any spinning object rotates around a central point called an axis. Tops, dreidels, gyroscopes, and spinning eggs rotate, rise, and seem to defy gravity, as long as they are moving. When they stop moving, they fall. Angular Momentum Angular momentum refers to movement in a circle rather than a straight line. Imagine the movement of […]

Math Review of Applications and Problem Solving for Rational Equations

Overview Rational equations have many applications to real-world problems. Some of the types of problems that can be solved include geometric ratios, number problems, motion problems, and work problems. Geometric Ratios When solving geometric ratios, it helps to use the problem-solving strategy of making a sketch to check against and see if the answer makes […]