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

Find the Median in Math

Problem: The Doran family has 5 children, aged 9, 12, 7, 16 and 13. What is the age of the middle child? Solution: Ordering the childrens’ ages from least to greatest, we get: 7, 9, 12, 13, 16 Answer: The age of the middle child is the middlemost number in the data set, which is 12. In the […]

Non-Routine Mean

Problem: The mean of 29 test scores is 77.8. What is the sum of these test scores? Solution: To find the mean of n numbers, we divide the sum of the n numbers by n. If we let n = 29, we can work backwards to find the sum of these test scores. Multiplying the […]

Arithmetic Mean

Problem: Scott took 7 math tests in one marking period. What is the mean test score? 89, 73, 84, 91, 87, 77, 94 Solution: The sum of these numbers is 595. Dividing the sum by the number of test scores we get: Answer: The mean test score is 85. Definition: The arithmetic mean of a set of data is found by […]

The Range of a Set of Data

What is a Range in Math? Definition: The range of a set of data is the difference between the highest and lowest values in the set. In the examples below, our first step is to order the data from least to greatest. We recommend that you do this, too. This is especially important with large sets of data. Let’s take a […]

Challenge Exercises: Data and Graphs

Directions: Read each question below. Select your answer by clicking on the button to the left. Feedback to your answer is provided in the RESULTS BOX. If you make a mistake, choose a different button. 1. Mrs. Glosser’s class voted on their favorite type of toy. Each student voted once. Here is the vote: doll […]

Practice Exercises: Data and Graphs

Directions: For each exercise below, click once in the ANSWER BOX, type in your answer and then click ENTER. Your answer should be given as a whole number or as a decimal. If your answer is a percent, do NOT enter the percent symbol. Just enter the number. After you click ENTER, a message will […]

Comparing Graphs

In this unit, we learned about line, bar and circle graphs. We learned how to read and interpret information from each type of graph, and how to construct these graphs. If you were asked to create a graph from a given set of data, how would you know which type of graph to use? Which […]

Constructing Circle Graphs

In the last lesson, we learned that a circle graph shows how the parts of something relate to the whole. A circle graph is divided into sectors, where each sector represents a particular category. Circle graphs are popular because they provide a visual presentation of the whole and its parts. However, they are best used […]

Data and Circle Graphs

Problem: At a private school, 300 students and faculty voted on adopting uniforms for students. The results are shown in the table below. Display the results of this vote in a circle graph. Adopt Student Uniforms? Response Number Yes 30 No 180 Not Sure 90 Analysis: In order to draw a circle graph, […]

Constructing Bar Graphs

In the last lesson, we learned that a bar graph is useful for comparing facts. The bars provide a visual display for comparing quantities in different categories. Bar graphs can have horizontal or vertical bars. In this lesson, we will show you the steps for constructing a bar graph. Example 1: The table below shows the number of […]