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

Bar Graphs Lesson

Learn About Bar Graphs With The Following Examples And Interactive Exercises Use the following examples and interactive exercises to learn about bar graphs. Example 1: A survey of students’ favorite after-school activities was conducted at a school. The table below shows the results of this survey. Students’ Favorite After-School Activities Activity Number of Students Play Sports 45 Talk […]

Constructing Line Graphs

In the last lesson, we learned that a line graph is useful for displaying data or information that changes continuously over time. We read and interpreted information from various line graphs. However, we did not make any line graphs of our own. In this lesson, we will show you the steps for constructing a line […]

Reading and Interpreting a Line Graphs

Understanding a Line Graph Example 1: The table below shows daily temperatures for New York City, recorded for 6 days, in degrees Fahrenheit. Temperatures In NY City Day Temperature 1 43° F 2 53° F 3 50° F 4 57° F 5 59° F 6 67° F The data from the table above has been represented […]

Challenge Exercises for Pre-Algebra

Short Answer Directions: Read each question. Click once in an ANSWER BOX and type in your answer. 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. Multiple Choice Directions: Select your answer by clicking on its button. Feedback to your […]

Practice Exercises for Pre-Algebra

Short Answer Directions: Read each question. Click once in an ANSWER BOX and type in your answer. 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. Answers should be entered as integers. Multiple Choice Directions: Select your answer by clicking […]

Writing Algebraic Equations

Problem: Jeanne has $17 in her piggy bank. How much money does she need to buy a game that costs $68? Solution: Let x represent the amount of money Jeanne needs. Then the following equation can represent this problem: 17 + x = 68 We can subtract 17 from both sides of the equation to find the […]

Learn How To Write and Understand Algebra Expressions

Algebraic Expressions With Example Problems and Interactive Exercises Use the following examples and interactive exercises to learn about Writing Algebraic Expressions. Problem: Ms. Jensen likes to divide her class into groups of 2. Use mathematical symbols to represent all the students in her class. Solution: Let g represent the number of groups in Ms. Jensen’s class. Then […]

Order of Operations with Integers

In the last lesson we learned the rules for Order of Operations. We use the sentence: Please Excuse My Dear Aunt Sally to help us remember these rules: 1. Simplify all operations inside Parentheses. 2. Simplify all Exponents, working from left to right. 3. Perform all Multiplications and Divisions, working from left to right. 4. Perform all Additions and Subtractions, working […]

Order of Operations with Exponents

Problem: Evaluate this arithmetic expression: 18 + 36 ÷ 32 In the last lesson, we learned how to evaluate an arithmetic expression with more than one operation according to the following rules: Rule 1: Simplify all operations inside parentheses. Rule 2: Perform all multiplications and divisions, working from left to right. Rule 3: Perform all additions and subtractions, working […]

Order of Operations

Problem: Evaluate the following arithmetic expression: 3 + 4 x 2 Solution: Student 1 Student 2 3 + 4 x 2 3 + 4 x 2 = 7 x 2 = 3 + 8 = 14 = 11 It seems that each student interpreted the problem differently, resulting in two different answers. Student […]