Category Archives: Geometry

Math Review of Representing Solid Figures

Overview Three-dimensional solid figures can be represented by the two-dimensional pattern of polygons that create them. The pattern, called a net, is a visual representation that illustrates the formula for the surface area of the three-dimensional figure. If the net were folded, it would produce that figure. Representation of Cylinders The net for a cylinder […]

Math Review of Slopes of Parallel and Perpendicular Lines

Overview Lines representing graphs of linear equations have slopes, defined as the change in y/change in x. Parallel lines have the same slope, but no solutions in common. Perpendicular lines intersect at one point to form right angles. Finding Slopes of Parallel Lines Imagine a line graphing the equation y = 2x +3. Using the […]

Math and Physics Review of Ice Hockey

Overview In the winter sport of ice hockey, players, sticks, and the puck all move at a rapid pace. Sports scientists know that the apparent chaos of the game is governed by math and physics principles such as laws of motion; angles, vectors; transfer of potential energy to kinetic energy; and force, impulse, and collision. […]

Math and Physics Review of Football

Overview The matchup between NFC West Champion Seattle Seahawks and AFC East Champion New England Patriots promises thrilling gridiron action during Super Bowl XLIX. Behind the scenes, principles of math and physics determine the shape of the ball itself, the running game, the passing game, and the kicking game. Footballs and Ellipses Many sports from […]

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 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 […]