This lesson discusses basic terms for geometry. Many polygons have the property of lines of symmetry, or rotational symmetry. Rotations, reflections, and translations are ways to create congruent polygons. Geometry Terms The terms point, line, and plane help define other terms in geometry. A point is an exact location in space with no size and has a label with …
This lesson introduces how to apply the properties of exponents and examines square roots and cube roots. It also discusses how to estimate quantities using integer powers of 10. Properties of Exponents An expression that is a repeated multiplication of the same factor is a power. The exponent is the number of times the base is multiplied. For example, is …
This lesson introduces adding, subtracting, and multiplying polynomials. It also explains polynomial identities that describe numerical expressions. Adding and Subtracting Polynomials A polynomial is an expression that contains exponents, variables, constants, and operations. The exponents of the variables are only whole numbers, and there is no division by a variable. The operations are addition, subtraction, multiplication, and …
This lesson introduces solving quadratic equations by the square root method, completing the square, factoring, and using the quadratic formula. Solving Quadratic Equations by the Square Root Method A quadratic equation is an equation where the highest variable is squared. The equation is in the form , where a is a non-zero constant and b and c are constants. There are …
This lesson discusses solving a system of linear equations by substitution, elimination, and graphing, as well as solving a simple system of a linear and a quadratic equation. Solving a System of Equations by Substitution A system of linear equations is a set of two or more linear equations in the same variables. A solution to the system …
This lesson discusses different types of motion. Then, it examines uniform circular (rotational) motion and centripetal acceleration. It also introduces the concept of friction and its effect on motion in real-world situations. Types of Motion According to Newton’s first law of motion, an object moving with a given velocity (even if it is zero) will …
This lesson reviews the nature and relationship of electricity and magnetism and how these forces enable many modern technologies. Electric Forces and Fields Objects that have an electric charge attract or repel other electrically charged objects depending on whether the charges are like (repel) or unlike (attract). Coulomb’s law describes the electric force that an object carrying charge exerts on an object …
This lesson introduces the concept of mechanical energy as the sum of kinetic energy and potential energy. The lesson also examines objects in motion and the effects of changing velocities and forces on moving objects. Finally, the lesson discusses how the force of gravitation affects objects in the universe. Mechanical Energy Energy is the ability …
This lesson reviews a simple model of the atom and its role in the materials of everyday life. It then discusses waves in general and mechanical and electromagnetic waves in particular and applies these principles to optics. Matter and Atomic Structure The materials that are common to human experience (through sight, touch, and the other …
Meteorology is the study of Earth’s atmosphere with a focus on predicting weather patterns. Earth’s Resources All of the resources on Earth can be classified into two categories: renewable and nonrenewable. Renewable resources are natural resources that can be replenished over time, while nonrenewable resources cannot. All fossil fuels, a significant source of energy for …
