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.

### Practice Exercises for Number Theory

Directions: Read each question below. Click once in an ANSWER BOX and type in your answer; then click ENTER. Do not enter commas in your answers. 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. Find the […]

Read More### Patterns and Exponents Lesson

The numbers 1, 2, 4, 8, 16, 32, 64, 128, 256, … form a pattern. What is the rule for this pattern? Answer This list of numbers results from finding powers of 2 in sequence. Look at the table below and you will see several patterns. Exponential Form Factor Form Standard Form 20 = Any number (except 0) raised […]

Read More### Exponents Lesson

Learn about the rules of exponents with the following examples and interactive exercises. In the table below, the number 2 is written as a factor repeatedly. The product of factors is also displayed in this table. Suppose that your teacher asked you to Write 2 as a factor one million times for homework. How long do you think that […]

Read More### Divisibility Rules Lesson

Learn About Divisibility Rules With Example Problems And Interactive Exercises Problem: Is the number 621 prime or composite? Method: In the last lesson, we learned to find all factors of a whole number to determine if it is prime or composite. We used the procedure listed below. To determine if a number is prime or composite, follow these steps: […]

Read More### Prime and Composite Numbers Lesson

Problem 1: The area of a rectangular garden is 7 square yards. List all possible whole-number dimensions the garden can have. Solution: 1 yd x 7 yd The whole-number dimensions, 1 and 7, of the rectangular garden above, are the factors of the number 7. Problem 2: The area of a rectangular garden is 8 square yards. List all possible […]

Read More### Multiples and Least Common Multiples Lesson

The Least Common Multiple is… …the smallest multiple common to all whole numbers in the set. Problem: An ice cream truck visits Jeannette’s neighborhood every 4 days during the summer. Unfortunately, she missed it today. When can Jeannette expect the ice cream truck to visit her neighborhood again? Solution: The ice cream truck will visit on […]

Read More### Factors and Greatest Common Factors Lesson

Problem: The area of a rectangular garden is 24 square yards. List all possible whole-number dimensions the garden can have. Solution: 1 yd x 24 yd, 2 yd x 12 yd, 3 yd x 8 yd, and 4 yd x 6 yd The whole-number dimensions of this rectangular garden are the factors of the number […]

Read More### Challenge Exercises: Circumference and Area

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. Use = 3.14 to calculate your answers. 1. A dinner plate […]

Read More### Practice Exercises: Circumference and Area

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. Use = 3.14 to calculate your answers. 1. If the diameter […]

Read More### Area of a Circle Lesson

The distance around a circle is called its circumference. The distance across a circle through its center is called its diameter. We use the Greek letter (pronounced Pi) to represent the ratio of the circumference of a circle to the diameter. In the last lesson, we learned that the formula for circumference of a circle is: . For simplicity, we use = 3.14. We […]

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