Step by Step Math Lessons

Our math lessons are designed to make math meaningful to the student. They will guide learners through mathematical concepts, breaking down each step in a clear and understandable manner. They provide a structured approach to learning math, ensuring comprehensive understanding and proficiency. Each math lesson provides in-depth instruction ideal for learners of all ages and abilities. Choose a topic below to start your adventure.

Arithmetic Sequence Formula	Linear Equations
Associative Property	Logic
Circumference and Area of Circles	Mean Absolute Deviation
Commutative Property	Mean Median Mode
Consumer Math	Percentages
Data and Graphs	Perimeter and Area
Decimals – Add and Subtract	Perpendicular Lines
Decimals – Multiply and Divide	Place Values
Decimals – How to Multiply	Point Slope Form
Distributive Property	Pre-Algebra
Elementary Math	Probability
Exponents	Pythagorean Identities
Equations – Solving Single and Double Steps	Pythagorean Theorem
Fractions Introduction	Rate of Change
Fractions and Mixed Numbers – Add and Subtract	Rounding
Fractions and Mixed Numbers – Multiply and Divide	Sets and Set Theory
Fractions – Adding Unlike Denominators	Special Right Triangle
Fractions – Improper Fractions	Volume of a Triangular Pyramid
Integer Properties	Z- Math Palindromes

Tautologies

Example 1: What do you notice about each sentence below? 1. A number is even or a number is not even. 2. Cheryl passes math or Cheryl does not pass math. 3. It is raining or it is not raining. 4. A triangle is isosceles or a triangle is not isosceles. Each sentence in Example […]

Biconditional Statements

Biconditional Statement Problems With Interactive Exercises Example 1: Examine the sentences below. Given: p: A polygon is a triangle. q: A polygon has exactly 3 sides. Problem: Determine the truth values of this statement: (pq)(qp) The compound statement (pq)(qp) is a conjunction of two conditional statements. In the first conditional, p is the hypothesis and q is the conclusion; […]

Compound Statements

Now that we have learned about negation, conjunction, disjunction and the conditional, we can include the logical connector for each of these statements in more elaborate statements. In this lesson, we will learn how to determine the truth values of a compound statement with the logical connectors ~, , and . Example 1: Given: p: 72 = 49 true q: A […]

Understanding a Conditional Statement

Definition: A Conditional Statement is… symbolized by pq, it is an if-then statement in which p is a hypothesis and q is a conclusion. The logical connector in a conditional statement is denoted by the symbol . The conditional is defined to be true unless a true hypothesis leads to a false conclusion. A truth table for pq is shown below. […]

Disjunction

Learn About Disjunction With The Following Examples And Interactive Exercises. Example 1: Given: p: Ann is on the softball team. q: Paul is on the football team. Problem: What does pq represent? Solution: In Example 1, statement p represents, “Ann is on the softball team” and statement q represents, “Paul is on the football team.” The […]

Conjunction

Learn About Conjunction With The Following Examples And Interactive Exercises. Example 1: Given: p: Ann is on the softball team. q: Paul is on the football team. Problem: What does pq represent? Solution: In Example 1, statement p represents the sentence, “Ann is on the softball team,” and statement q represents the sentence, “Paul is on the football […]

Negation of a Statement

Example 1: Examine the sentences below. 1. Every triangle has three sides. 2. Albany is the capital of New York State. 3. No prime number is even. Each of these sentences is a closed sentence. Definition: A closed sentence is an objective statement which is either true or false. Thus, each closed sentence in Example 1 has a truth value of […]

Challenge Exercises for Introduction to Statistics

Directions: Read each question below. Click once in an ANSWER BOX and type in your answer; then click ENTER. After you click ENTER, a message will appear in the RESULTS BOX to indicate whether your answer is correct or incorrect. To start over, click CLEAR. 1. The weights of 9 students, measured in pounds, are […]

Practice Exercises for Introduction to Statistics

Directions: Read each question below. Click once in an ANSWER BOX and type in your answer; then click ENTER. After you click ENTER, a message will appear in the RESULTS BOX to indicate whether your answer is correct or incorrect. To start over, click CLEAR. 1. Twelve students were given a math test, and the […]

What is Mode in Math?

Problem: The number of points scored in a series of football games is listed below. Which score occurred most often? 7, 13, 18, 24, 9, 3, 18 Solution: Ordering the scores from least to greatest, we get: 3, 7, 9, 13, 18, 18, 24 Answer: The score which occurs most often is 18. This problem really asked us […]