Basic mathematics blog

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Fundamental Counting Principle

Multiplication principle and addition principle

The fundamental counting principle is introduced in this lesson. Learn how to count with the multiplication principle and the addition principle.

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45-45-90 Triangle

45-45-90 triangle

What is a 45-45-90 triangle? Definition, proof, area, and easy to follow real-world examples.

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Theoretical Probability - Definition, Explanation, and Examples

Theoretical probability versus experimental probability

Learn how to compute the likelihood or probability of an event using the theoretical probability formula.

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30-60-90 Triangle

30-60-90 triangle

What is a 30-60-90 triangle? Definition, proof, area, and easy to follow real-world examples.

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Calculate the Conditional Probability using a Contingency Table

Contingency table

Learn to calculate the conditional probability using a contingency table. This contingency table can help you understand quickly and painlessly.

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Rational Numbers - Definition and Examples

Rational numbers

To learn about rational numbers, write their decimal expansion, and recognize rational numbers that are repeating decimals and terminating decimals.

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Area of a Trapezoid - Definition, Formula, and Examples

Area of a trapezoid1

Learn how to get the area of a trapezoid using a rectangle and a triangle, the formula, and also when the height of the trapezoid is missing.

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Quadratic Formula: Easy To Follow Steps

Quadratic formula

Learn about the quadratic formula, the discriminant, important definitions related to the formula, and applications.

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Area Formula - List of Important Formulas

Frequently used area formulas

What is the area formula for a two-dimensional figure? Here is a list of the ones that you must know!

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Parallelogram - Definition, Types, and Examples

What is a parallelogram? Here is the list of all the most important things that you need to know

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High School Physics: The Free Resources to Learn and Study

High school physics

Do you need help with high school physics? Explore important basic concepts in physics.

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How To Learn Math (And Stay Good At It!)

Math is hard

Find out how to learn math and stay good at it using these five steps.

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Why is Geometry Important? (And How Can You Benefit ?)

Why is geometry important

Why is geometry important? Geometry isn't just about drawing shapes. Its practical applications are endless. See how geometry can help enhance your life.

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What is a Unit Circle? Definition and trigonometric values

unit circle

Definition of the unit circle and important trigonometric functions. Use the unit circle to derive important trigonometric values.

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Types of Triangles

Types of triangles

Learn to identify 6 types of triangles based on their sides or angles and 7 more types based on both their sides and angles.

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Box and Whiskers Plot

Box and Whiskers Plot

Easily learn to construct a box and whiskers plot for a set of data by using the median and the extreme values.

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Binary Number System

Converting 25 to base two

This lesson will give you a deep and solid introduction to the binary number system.

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Perimeter of a Square

Perimeter of a square

Check out this lesson. You will discover that finding the perimeter of a square is simple and straightforward.

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Law of Cosines - Formula, Proof, and Examples

Law of cosines

What is the Law of Cosines? See how you can use the law of cosines to find one side of a triangle.

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Conjugate of a Complex Number

What is the conjugate of complex number? Definition, explanation, and examples.

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What are Bar graphs Good for? Definition and Examples

Vertical bar graph

This lesson will help you clearly understand the different types of bar graphs such as the vertical bar graph, grouped bar graph, and stacked bar graph.

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Solving Two-Step Equations

Solving two-step equations

This lesson presents the steps to take when solving two-step equations or equations of the form ax + b = c or ax - b = c.

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6th Grade Math Problems

Cookies

A variety of 6th grade math problems students need to know how to solve in 6th grade.

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Second Grade Math Word Problems

Dimes, nickels, and pennies

A list of important second grade math word problems that students need to know how to solve in second grade

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Surface Area of a Sphere - Definition, Derivation, and Examples

Surface area of a sphere

Learn how to derive and compute the surface area of a sphere. The lesson is crystal clear and right to the point, but it also shows how the formula was obtained

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Surface Area of a Cylinder - Definition, Derivation, and Examples

Surface area of a cylinder

Learn how to compute the surface area of a cylinder, oblique cylinder, and hollow cylinder. Learn also to derive the formula.

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Adding Integers with a Number Line and Rules for Addition of Integers

Rules for addition of integers

Adding integers using a number line or the rules for adding integers to find the sums of positive and negative integers.

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Fractions - Definition and Real-Life Examples

Six eighths and four eighths

Easy to understand introduction to fractions using pizzas as a real-world example.

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Circumference of a circle - Definition, formula, Real-World Examples

Circumference of a clock

How to calculate the circumference of a circle using the circumference formula. See also some real-world examples that are easy to understand.

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Volume of a Sphere - Definition, Formula, Derivation, and Examples

Volume of a sphere

Learn how to get the volume of a sphere and the volume of the earth which is a sphere. Derivation of the volume formula With Calculus.

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Area of a Circle - Definition, Formula, Derivation, and Examples

Area of the circle on the right is bigger

Different ways to calculate the area of a circle using the value of pi is what this lesson will teach you.

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Third Grade Math Word Problems

Marbles

A variety of third grade math word problems students need to know how to solve in 3rd grade.

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First Grade Math Word Problems with Lots of Examples

How many ears do 3 bunnies have?

A variety of first grade math word problems students need to know how to solve in 1st grade.

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Multiplying Fractions

Multiplying fractions

Multiplying fractions and write the product in simplest form is the goal of this lesson.

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5th Grade Math Word Problems

Computers on sales

A variety of 5th grade math word problems students need to know how to solve in 5th grade.

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Venn Diagram Word Problems

Venn diagram with two circles

These Venn diagram word problems will show you how to use Venn diagrams to solve problems related to counting.

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Percentage Word Problems

Percentage word problems

Introducing a great variety of percentage word problems to help you solve any percentage problems.

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Real-Life Applications of Slope

Steep road

What are some real-life applications of slope? Slope has many applications in the real-world. Explore them here!

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Permutation Word Problems with Solutions

Total number of permutations

Learn to solve a great variety of permutation word problems with easy to follow explanations.

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Combination Word Problems with Solutions

Number of combinations formula

Learn to solve a great variety of combination word problems with easy to follow explanations.

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Geometric Sequence Word Problems

Stock's price is declining

A variety of geometric sequence word problems that will help you strengthen your knowledge of geometric sequence.

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Arithmetic Sequence - Definition and Formula

Learn how to describe number patterns with arithmetic sequence with a crystal clear lesson

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Arithmetic Sequence Word Problems

A variety of arithmetic sequence word problems that will help you strengthen your knowledge of arithmetic sequence.

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First Grade Math Concepts or Curriculum

Equation1

Looking for most important first grade math concepts? See the math that is taught in first grade.

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Kindergarten Math Concepts or Curriculum

Looking for most important Kindergarten math concepts? See the math kids need to know in kindergarten.

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Recent Articles

  1. Fundamental Counting Principle

    Jun 06, 23 07:32 AM

    Multiplication principle and addition principle
    The fundamental counting principle is introduced in this lesson. Learn how to count with the multiplication principle and the addition principle.

    Read More

  2. 45-45-90 Triangle

    May 01, 23 07:00 AM

    45-45-90 triangle
    What is a 45-45-90 triangle? Definition, proof, area, and easy to follow real-world examples.

    Read More

Tough algebra word problems

100 Tough Algebra Word Problems.

If you can solve these problems with no help, you must be a genius!

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