Synthetic Division

Synthetic division, also known as Ruffinis rule, is a shortcut method for dividing a polynomial (a mathematical expression with two or more terms) by a binomial (a mathematical expression with two terms). It is called "synthetic" because it is a quick way to do division without actually writing out the long division problem.

Solving Systems of Quadratic Equations, A Beginner's Guide

Learn how to solve a system of quadratic equations using substitution with this easy-to-follow guide. Discover the step-by-step process to solve a second-order equation system and find the solutions to the system of equations. Perfect for beginners and anyone looking to improve their math skills.

Systems of Quadratic Equations

Understanding Time Measurement, Explained Simply

Time measurement can be tricky to understand, but it is an essential concept for kids to learn. In this article, we explain the basics of time measurement in a simple and easy-to-understand way, covering units of time, clocks, and how to read them.

Time Measurement

Introduction to Transformations in Geometry for Kids: Translation, Rotation, and Symmetry

Learn about the basic transformations in geometry, such as translations, rotations, and symmetries. Help your child understand the concepts of movement, rotation, and reflection with easy-to-understand examples and illustrations.

Translations, Rotations and Symmetries

Transformations in Functions

A transformation in mathematics refers to a process or rule that takes an input and maps it to an output, changing its position, size, or shape. Transformations can be thought of as operations performed on geometric objects such as points, lines, and shapes, to produce a new image or figure.

Triangles, Rectangles

A rectangle and a triangle are both types of shapes. A rectangle is a flat shape that has four straight sides and four right angles (corners that are exactly 90 degrees). The opposite sides of a rectangle are always equal in length.

Trigonometric Ratios of Obtuse Angles

Learn how to find trigonometric ratios of obtuse angles with easy-to-understand explanations and examples. Understand sine, cosine, and tangent and how they can be used in real-life situations. Suitable for kids and beginners in math.

Trigonometric Ratios of Any Angle

Trigonometric Ratios in Right Triangles

Learn how to use trigonometric ratios to find the sides of right triangles. Understand the concepts of sine, cosine, and tangent through simple explanations and examples suitable for kids. Trigonometric Functions of an Acute Angle

Types of Triangles

Triangles are shapes that have three sides and three angles. There are different types of triangles, each with their own unique properties: Equilateral, Isosceles, Scalene, Right triangle, Acute and Obtuse triangle. Each type of triangle has its own unique properties in math and geometry and can be used in different ways in mathematics.

Weighted Average

The weighted average is a way to find the average height of the group, taking into account that some children are taller than others. The result is the weighted average height of the group of children in your class. This way, the taller children have more influence on the average height, and the shorter children have less influence.

Rule of Three or Cross-multiplication, Step-by-step Guide

What is the rule of three or cross-multiplication in Math? In Mathematics, given an equation between two fractions or rational expressions, representing ratios or proportions, it is a way to solve the value for the variable. It is used in percentages, interets and so on. Learn how to calculate it step by step.

Rule of Three or Cross-multiplication

Absolute Value

You can think of absolute value as a way to always make a number positive, no matter if it is positive or negative. The absolute value of a number is the distance from that number to zero, no matter which direction you are from zero.

Adding Decimals

How to add decimal numbers? The sum of numbers is when you add them together, a way to find out how many things you have in total. Adding decimal numbers is just like adding whole numbers, but with a little extra attention to the decimal point.

Adding Fractions

Adding fractions is a way to find the total amount when you have two or more parts. To add fractions, you need to make sure that the denominators (bottom numbers) are the same. If they are not the same, you can find a common denominator by multiplying the numerators and denominators by the same number. Adding fractions is an important part of mathematics, and it is used in many different ways to find totals and solve problems

Adding Numbers

The sum of numbers is when you add them together, a way to find out how many things you have in total. To do the math, just write them down one after the other and add them up.

Addition and Multiplication Properties of Equality. Rules for Solving Algebraic Equations

Learn about the addition and multiplication properties of equality, essential tools for solving algebraic equations. These mathematical rules allow you to manipulate equations to solve for unknown variables by adding or multiplying the same number to both sides of an equation. Improve your algebra skills with this clear and concise guide.

Properties of Equality

Basic Addition

Addition is a way to find out the total when you combine two or more numbers. The symbol + is used to show addition. You can add as many numbers as you want, just keep adding one number to the next.

Algebraic Fractions

Learn what algebraic fractions are and how to add, subtract, multiply, and divide them in simple math terms. Discover how to find a common denominator and simplify algebraic fractions.

Algebraic Numbers

Algebraic numbers are numbers that can be created using arithmetic operations like addition, subtraction, multiplication, and division, and using algebraic equations. These equations contain variables, which can be replaced by numbers to find the value of the algebraic number.

Algorithms

An algorithm in math is like a set of instructions or a recipe that you follow to complete a task or solve a problem. It is a step-by-step plan that helps you get from the beginning of a task to the end.

Explaining Angle Measurement and Degrees to Radians Conversion

In this article, we will explain to kids what angle measurement is and how it is used in everyday life. We will also introduce the concept of degrees and radians and teach them how to convert between the two units of angle measurement.

Degrees to Radians Conversion

Angle Measurement: Understanding Degrees and Protractors

In this article, we explain angle measurement to kids, including what angles are, how they are measured in degrees, and how to use a protractor to measure and draw angles.

Angle Measurement

How to Find the Area of Plane or Flat Figures: A Step-by-Step Guide

Learn how to calculate the area of common plane or flat figures such as triangles, rectangles, circles, trapezoids, hexagons, and more with our easy-to-follow guide. Includes formulas and examples to help you master this essential geometry skill.

Area of plane Figures

Area of Polygons: A Complete Guide to Finding the Area of Any Polygon Shape

Discover how to calculate the area of polygons of any shape and size, including triangles, quadrilaterals, pentagons, hexagons, and more. Our step-by-step guide provides you with the formulas and examples you need to confidently master this essential geometry skill.

Area of Polygons

Average

The average in math is a calculated central value of a set of numbers, like the middle number in a group. To calculate it add up all the numbers, then divide by the total amount of numbers.

Understanding Chained Percentages, A Simple Explanation

In this article, we explain chained percentages in a way that kids can understand. Learn how to calculate percentages of percentages and how to apply this concept to real-life situations.

Chained Percentages

Circle Perimeter

The perimeter of a circle is like walking around the edge of a cookie. You can measure the distance around the edge of a circle, which is called the perimeter. To calculate it you need the radius o the diameter and the number pi

How to Classify Functions, Types of Functions

To classify functions, we look at how the output changes based on the input. Different ways to classify functions are: linear functions, quadratic functions, exponential functions and logarithmic functions.

Classification of Functions

Composite Numbers

A composite number is a number that can be divided by numbers other than 1 and itself. The numbers that can only be divided by 1 and themselves are called prime numbers.

Understanding Compound Interest, Definition and Examples

Compound interest is a type of interest that can make your money grow over time. In this article, we explain what compound interest is and provide simple examples to help kids understand how it works.

Compound Interest

Understanding Compound Proportion for Students

Learn about compound proportionality and how it is used to solve real-life problems with this easy-to-understand explanation for kids. Discover the concept of inverse proportionality and how it relates to compound proportion, with examples and illustrations.

Compound Proportion

Conic Sections: Ellipses, Parabolas, and Hyperbolas Explained

Learn about conic sections and the shapes they create in geometry in a way that's easy for kids to understand. This article explains ellipses, parabolas, and hyperbolas, and how they relate to circles and lines.

Conic Sections

Continuity in Functions

Continuity is a mathematical concept that deals with how a function behaves as we get close to a certain point. There are two types of continuity: point-wise continuity and uniform continuity.

Convert Decimals to Fractions and Vice Versa

To convert a decimal to a fraction, you need to find a fraction with the same value as the decimal. To convert a fraction to a decimal, you need to divide the numerator by the denominator.

Decimals to Fractions

Convert Fractions to Repeating Decimals

To convert a fraction to a repeating decimal in math, you can divide the numerator (the top number) by the denominator (the bottom number). You will end up with a repeating decimal, which represents a certain fraction.

Fractions to Repeating Decimals

Convert Repeating Decimals to Fractions

A repeating decimal is a decimal that has a pattern of digits that repeat forever. To convert a repeating decimal to a fraction, you can use a simple process. We use this in Math to represent a repeating decimal as a fraction.

Repeating Decimals to Fractions

Curved Lines

Curved lines are lines that bend or curve in different directions, rather than going straight. A smiley face with a curved smile, or a spiral staircase are examples of curved lines. They can be simple and smooth or complex and bumpy

Curves in Polar Coordinates A Simple Introduction

In this article, we explain to kids how to plot and understand curves using polar coordinates. Learn how to convert between Cartesian and polar coordinates and discover the beauty of curves like circles, cardioids, and roses in the polar coordinate system.

Curves in Polar Coordinates

Decimal Operations

Decimal numbers are just like whole numbers, but with an added decimal point to show parts of a whole. You can perform the same operations as with whole numbers, such as addition, subtraction, multiplication, and division.

Decimal System

We use the number 10 for counting things. Imagine each finger represents one number, like 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. When we run out of fingers to represent a number, we add another set of 10 fingers and start counting all over again. This system of counting is called the decimal system.

Decomposing Figures Or Shapes to Find Area

Learn how to find the area of complex shapes by breaking them down into simpler components. This beginner's guide to decomposing figures will teach you the basics of how to find area in geometry.

Decomposing figures to find area

Derivatives

A derivative is like finding out how fast something is changing. You can use derivatives to find out how fast a quantity is changing in math. In math, derivatives are used to study how quantities change over time, like finding the rate at which something is getting bigger, accelerating, growing, changing or speeding up or down.

Understanding Direct and Inverse Proportionality for Students

Learn about direct and inverse proportionality in math and how they work in everyday life with fun and easy-to-understand explanations and examples for kids.

Direct and Inverse Proportionality

Distributive Property of Multiplication

The distributive property of multiplication is a way to simplify some calculations. It works like this: Instead of counting one by one, you just multiply the numbers. The distributive property of multiplication helps us simplify calculations by breaking down a big number into smaller parts and then multiplying each part by the same number

Dividing Decimals

Division is a way to find out how many times one number can fit into another number. Dividing decimal numbers is just like dividing whole numbers, but with a little extra attention to the decimal point.

Dividing Fractions

Dividing fractions is just like dividing any other numbers, but with a few special rules to remember. You are finding how many times one fraction will fit into the other, so the answer will often be a larger number or fraction than either of the original fractions.

Dividing Three Digit Numbers

Division by 3 digits is a way to find how many times one number can be divided into another number. Imagine you have a big bag of candy and you want to share it equally among your friends. To do that, you need to find out how many candies each friend will get. This is like division by 3 digits!

Dividing Two Digit Numbers

Division by 2 digits is a way to find how many times one number can be divided into another number. Think of it as sharing things equally! In math, division is a way to find out how many times one number can be divided into another number. When you divide a big number by a small number, you can find out how many smaller numbers fit into the big number

Divisibility Rules

Divisibility means when a number can be divided by another number without leaving any extra pieces or a remainder. We use divisibility rules to quickly figure out if a number is divisible by another number.

Basic Division

Division is a way to find out how many times one number can fit into another number. So, when you divide one number by another number, you are finding out how many times the second number fits into the first number. The symbol ÷ is used to show division.

Euler's Number, e

The number e and logarithms are mathematical concepts that are used to describe relationships between numbers. The number e is a special mathematical constant that is approximately equal to 2.71828. A logarithm is a way of expressing how many times you need to multiply a certain number (called the base) to get another number.

Equality

Learn about equality in math and how it represents balance. Discover how the equal sign (=) is used to show that two things have the same value, and how this concept is important in problem-solving.

Equation vs Identity, What's the Difference?

Equations show if two things are equal. Identities are a special kind of equation that are always equal, no matter what numbers we use.

Equation vs Identity

Understanding Equations Reducible to Quadratic Equations, A Kid-Friendly Guide

Learn how to simplify equations by transforming them into quadratic equations with this simple guide for kids. Discover the step-by-step process of reducing equations, and solve examples with ease. Perfect for young learners who are just starting to explore the world of algebra!

Equations Reducible to Quadratic Equations

Equations

Equations show that two things are equal, used in math and science to solve problems and find missing information. They help us understand relationships and make predictions.

Understanding Equivalent Systems in System Equations

Learn how to solve system equations by understanding equivalent systems, which involve transforming equations into new forms while preserving their solutions. Discover the importance of equivalent systems and how they can simplify the process of solving systems of equations. Suitable for kids and beginners in algebra.

Equivalent Systems

Error Estimation, Approximation, and Rounding

When you round a number, there is always a small difference, or error, between the rounded number and the actual number. Error estimating is a way to find out how much the rounded or approximate number is different from the actual number.

Error Estimation, Rounding

When you round a number, there is always a small difference, or error, between the rounded number and the actual number. Error estimating is a way to find out how much the rounded number is different from the actual number.

Understanding Exponential Equations, Explained for Kids

Learn about exponential equations and how to solve them in this easy-to-understand guide for kids. Discover the basics of exponential functions, what exponential equations are, and how to use them to solve problems. Whether you are a student or a parent looking to help your child with their math homework, this guide will help you understand exponential equations in a fun and approachable way.

Exponential Equations

Exponents, Powers

Powers, also called exponents, are a way to show how many times a number is being multiplied by itself. Powers in math are a shorthand way of writing multiplication. Powers are an important part of mathematics and are used in many real-world situations.

Factors and Multiples

A factor is a number that can be multiplied by another number to get a third number. A multiple is a number that can be created by multiplying another number by a whole number. Factors are the numbers that a number can be divided by, and multiples are the numbers that can be created by multiplying another number.

Understanding First and Second Order Equations. A Beginner's Guide

This article explains first and second order equations in algebra in a way that is easy for beginners to understand. Learn how to solve equations with one variable raised to the first or second power, and understand the difference between linear and quadratic equations. Find out how to apply the quadratic formula to find the solutions to second order equations.

First and Second Order Equations

Fraction Operations

Fractions are like a special kind of division, where you are dividing a whole into parts. When you work with fractions, you can perform operations like addition, subtraction, multiplication, and division.

Fractions

A fraction is a way to show part of a whole. A fraction can help you show how much of a pizza each person gets. So, a fraction is a way to show a part of a whole, and it can be written as a ratio of two numbers. Fractions are useful for dividing and comparing amounts, and they are a key part of mathematics.

Functions

A function is like a machine that takes in a number (or an "input"), does something to it, and gives you another number (or an "output"). A function is a mathematical concept that maps a set of inputs, called the domain, to a set of outputs, called the range. It defines a unique output for each input in the domain. The relationship between the inputs and outputs is often described using an equation or a set of rules. In mathematical notation, a function is typically denoted by f(x), where x is an input and f(x) is the corresponding output. Functions can be used to model real-world situations and can help to simplify complex problems.

Greater Than, Less Than

Greater than and less than are symbols that help us compare numbers and understand which one is bigger or smaller. You can use it to tell which number is greater or smaller, and whether one number is bigger or smaller than the other.

Greatest Common Factor (GCF)

Learn what the greatest common factor (GCF), or greatest common divisor, is in math. Discover how to find the GCF and its uses in simplifying fractions.

Higher Order Roots: Radicals, Nth Roots

Higher index roots, also called higher order roots, nth roots or radicals, are like square roots, but instead of finding a number that can be multiplied by itself to get the original number, we find a number that can be multiplied by itself a certain number of times to get the original number.

Identity

Learn about math identities and how they are always true, no matter what values we use for the variables. Discover how they simplify problems and make calculations easier, and how they are important in problem-solving.

Integrals

An integral is like finding out the total amount of something. You can use integrals to find out the total amount of a quantity in math. In mathematics, integrals are used to find the total amount of a quantity that changes over time. They can help us understand things like flow, areas under a curve, find out the total amount of a quantity and make predictions about what will happen in the future

Understanding Intercept Theorem in Geometry: Definition and Examples

Learn about the Intercept Theorem in geometry, which explains how the lengths of intercepted segments on parallel lines are proportional, with examples to help you understand. The Intercept Theorem is also sometimes referred to as the Thales's Theorem or the Basic Proportionality Theorem.

Intercept Theorem

The International System of Units (SI)

This article explains measurement units to kids, including the International System of Units (SI) and how to convert between different units. Kids will learn about the basic units of length, mass, and time, as well as other commonly used units in daily life. The article includes easy-to-understand examples and practical tips for unit conversion, helping kids build a solid foundation in measurement concepts.

Explaining Measurement Units, Understanding the International System and Unit Conversion

Irreducible Polynomials

Learn what primitive or irreducible polynomials are in simple math terms. Discover why they are important in number theory, algebra, and computer science, and how they cannot be factored into smaller prime polynomials with integer coefficients.

Least Common Multiple (LCM)

Learn what the least common multiple (LCM) is and how to find it in simple math terms. Discover how the LCM is used in adding or subtracting fractions with different denominators.

Length, Width, Height

Length, height, and width help you understand the size and shape of an object, and its dimensions in space. They are useful in maths, physics and geometry to figure out how much space, volume or area it will take up to fit it into.

Letters and Numbers Together, Algebra

In algebra, letters are used to represent unknown numbers, and numbers are used to represent known values. The letters and numbers are used together to create equations that describe relationships between the unknown and known values.

Lines, Intervals and Rays

In geometry, a line is an imaginary object that goes on forever in both directions. It has no endpoints. An interval is a set of numbers that includes all the numbers between two given numbers. Intervals are often used to describe the possible values of a quantity or a variable.

Lines, Line Segments, and Rays

In geometry, a line is an imaginary object that goes on forever in both directions. It has no endpoints. A line segment is a part of a line that has two endpoints. A ray is a part of a line that starts from one point and goes on forever in one direction.

Learning Logarithmic and Exponential System Equations for Students

Learn how to solve logarithmic and exponential equations with easy-to-follow explanations and examples designed for kids. Discover the basics of logarithms, exponential functions, and how to solve equations that involve them.

Logarithmic and Exponential System Equations

Understanding Logarithmic Equations in Simple Terms for 12-Year-Olds

This article provides an easy-to-understand explanation of logarithmic equations for 12-year-olds. It covers what logarithmic equations are, how to solve them, and provides some examples for clarity. By the end of the article, any 12-year-old should have a solid grasp of logarithmic equations and how to solve them.

Logarithmic Equations

Logarithms

A logarithm is a way of expressing how many times you need to multiply a certain number (called the base) to get another number. Logarithms in math help us find out how many times we need to multiply a certain number to get another number.

Understanding Magnitudes, Units, and Quantities in Measurement Systems

Learn all about magnitudes, units, and quantities in measurement systems! This easy-to-understand guide explains what these concepts mean and how they work, using kid-friendly language and relatable examples. With this knowledge, you will have a better understanding of how we measure things in the world around us.

Magnitudes, Units, and Quantities

Discovering Maps, Geographic Coordinates, and Scales

In this guide, kids will learn all about maps, scales, and geographic coordinates. They will discover how to read and interpret maps, understand what scale means, and learn how to find and use coordinates to navigate and explore the world around them. With fun activities and examples, this guide will help kids develop their mapping and navigation skills in a fun and engaging way.

Maps, Geographic Coordinates, and Scales

Matrices

A matrix is like a bunch of numbers arranged in rows and columns. In math, you can arrange the blocks in a grid, with rows and columns, to make a matrix. By using matrices, you can easily organize and store information and use it to solve problems and answer questions in mathematics and calculus.

Understanding Measurement and Annotation Errors

Measurement and annotation errors can affect the accuracy of measurements. In this article, we will explain what measurement and annotation errors are, and how they can be minimized to improve the accuracy of measurements. This article is designed for kids who want to learn more about measurement and how to avoid common errors..

All Lectures