This lesson introduces the basics of decimals and fractions. It also demonstrates changing decimals to fractions, changing fractions to decimals, and converting between fractions, decimals, and percentages. Introduction to Fractions A fraction represents part of a whole number. The top number of a fraction is the numerator, and the bottom number of a fraction is the denominator. The numerator …
This lesson introduces the concept of numbers and their symbolic and graphical representations. It also describes how to add and subtract whole numbers. Numbers A number is a way to quantify a set of entities that share some characteristic. For example, a fruit basket might contain nine pieces of fruit. More specifically, it might contain three apples, …
This lesson shows the relationship between factors and multiples of a number. In addition, it introduces prime and composite numbers and demonstrates how to use prime factorization to determine all the factors of a number. Factors of a Number Multiplication converts two or more factors into a product. A given number, however, may be the …
This lesson discusses how to represent and interpret data for a dot plot, a histogram, and a box plot. It compares multiple sets of data by using the measures of center and spread and examines the impact of outliers. Representing Data on a Number Line There are two types of data: quantitative and categorical. Quantitative …
This lesson explores a sample space and its outcomes and provides an introduction to probability, including how to calculate expected values and analyze decisions based on probability. Sample Space A sample space is the set of all possible outcomes. Using a deck of cards labeled 1–10, the sample space is 1, 2, 3, 4, 5, 6, 7, …
Statistics & Probability: The Rules of Probability Read More »
This lesson explores the different sampling techniques using random and non-random sampling. The lesson also distinguishes among different study techniques. In addition, it provides simulations that compare results with expected outcomes. Types of Probability Sampling Review Probability and Non-Probability Sampling A population includes all items within a set of data, while a sample consists of …
This lesson applies the formulas of volume for cylinders, pyramids, cones, and spheres to solve problems. Volume of a Cylinder, Cone, and Sphere Review Volume of a Cylinder A cylinder is a three-dimensional figure with two identical circular bases and a rectangular lateral face. KEEP IN MIND The volume of a cylinder can be expressed in terms …
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 …
