Math

Factors and Multiples

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 …

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Statistical Measures

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. Probability and Non-Probability Sampling A population includes all items within a set of data, while a sample consists of one or more observations from …

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Measurement and Dimension

This lesson applies the formulas of volume for cylinders, pyramids, cones, and spheres to solve problems. 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 of π, and the volume is measured in cubic …

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Congruence

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 …

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Powers, Exponents, Roots, and Radicals

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 …

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Polynomials

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 …

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Solving Quadratic Equations

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 …

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