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

Calculating Probability

Learn About Calculating Probability With The Following Examples And Interactive Exercises. Problem: A spinner has 4 equal sectors colored yellow, blue, green and red. What are the chances of landing on blue after spinning the spinner? What are the chances of landing on red? Solution: The chances of landing on blue are 1 in 4, or […]

Challenge Exercises Integer Word Problems

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. Each answer should be given as a positive or a negative integer. Do […]

Practice Exercises for Integers

Integer Operations

In previous lessons, you learned how to add, subtract, multiply and divide integers. There are many rules to remember so it’s easy to get confused. This lesson will review all the rules learned for operations with integers. You will then be given a mixed set of exercises to complete. Rules for Adding Integers The sum of […]

Integer Division

Problem: Mrs. Jenson owes $8,000 on her car loan. Each of her 4 children is willing to pay an equal share of this loan. Using integers, determine how much money each of her children will pay. Solution: Owing $8,000 can be represented by –8,000. We must divide –8,000 by 4 in order to solve this problem. However, we […]

Multiplying Integers

Learn About Multiplying Integers With The Following Examples And Interactive Exercises Problem: Alicia owes $6 to each of 4 friends. How much money does she owe? Solution: The problem above can be solved using integers. Owing $6 can be represented by –6. Thus the problem becomes: (–6) (+4) The parentheses indicate that these integers are being multiplied. In order […]

Subtracting Integers

Learn About Subtracting Integers With The Following Integer Examples And Interactive Exercises Problem: The temperature in Anchorage, Alaska was 8°F in the morning and dropped to –5°F in the evening. What is the difference between these temperatures? Solution: We can solve this problem using integers. Using the number line below, the distance from +8 to 0 is 8, and the […]

Integer Addition

Learn About Integer Addition With Example Problems And Interactive Exercises. Problem: George owes his friend Jeanne $3. If he borrows another $6, how much will he owe her altogether? Solution: This problem is quite simple: just add $3 and $6 and the result is $9. The problem above can be solved using addition of integers. Owing $3 can […]

Compare and Order Integers

Problem: A meteorologist recorded temperatures in four cities around the world. List these cities in order from least to greatest according to their temperatures. Recorded Temperatures City Temp Albany +5° Anchorage –6° Buffalo –7° Juneau –9° Reno +12° Since the temperatures are given as integers, a number line will help us solve this problem. As you […]

Integers

This page lists the Learning Objectives for all lessons in Unit 5. Introduction to Integers The student will be able to: Define the set of integers, positive numbers, negative numbers, opposites and signs. List real-life situations involving opposites. Identify an integer to represent a given real-life situation. Identify the opposite of an integer. Indicate an integer from […]