Table of Contents
ToggleMensuration is the branch of mathematics that deals with measuring the area, volume, and surface area of various geometric figures, such as squares, triangles, spheres, and cylinders.
In maths, the mode is the value that appears most frequently. For example, in the data set {2, 4, 4, 5, 6}, the mode is 4 because it occurs twice.
Negative numbers are numbers less than zero, represented with a minus sign (-). They are used to indicate values below a reference point, such as temperature or depth.
Notation in math refers to the system of symbols and signs used to represent numbers, operations, and other mathematical concepts. For example, is the notation for addition, and represents the constant pi.
A number system is a system of representing numbers using digits or symbols in a consistent manner. Common number systems include the decimal system (base 10), binary system (base 2), and hexadecimal system (base 16).
Number theory is a branch of mathematics that studies the properties and relationships of numbers, particularly integers. It includes concepts like prime numbers, divisibility, and modular arithmetic.
A parabola is a U-shaped curve that is the graph of a quadratic function, typically written as . It has a vertex, an axis of symmetry, and may open upwards or downwards.
A parallelogram is a four-sided polygon where opposite sides are parallel and equal in length. The area of a parallelogram is calculated as .
The perimeter is the total distance around the edges of a two-dimensional shape. For example, the perimeter of a rectangle is calculated as , where l is the length and is the width.
A pie graph (or pie chart) is a circular chart divided into sectors that represent parts of a whole. Each sector’s size is proportional to its percentage of the total.
A polynomial is an algebraic expression that involves a sum of powers of variables with coefficients. For example, is a polynomial.
Power notation is a way of expressing repeated multiplication of a number by itself. For example, (read as “two raised to the power of three”) means .
The power set of a set is the set of all possible subsets of that set, including the empty set and the set itself. For example, the power set of is .
Precision refers to how detailed or exact a measurement or calculation is. It relates to the number of significant digits or decimal places in a number.
A predecessor is the number that comes directly before a given number. For example, the predecessor of 7 is 6.
In mathematics, a principle refers to a fundamental truth or proposition that serves as the foundation for a system of belief or behavior, such as the principle of mathematical induction.
In math, R often represents the set of all real numbers, which includes all rational and irrational numbers. It is denoted by the symbol R.
The radius of a circle is the distance from the center of the circle to any point on its edge. The radius is half the length of the diameter.
The rate of change describes how one quantity changes in relation to another. In calculus, it refers to the derivative of a function, representing the slope of the tangent line at any point.
Reasonableness refers to whether an answer to a math problem makes sense based on the given information and context. It’s the process of checking if the solution is logical and realistic.
Reasoning in math involves logical thinking and deduction to solve problems or prove statements. It can involve pattern recognition, drawing conclusions, and using facts to support an argument.
A relation is a set of ordered pairs that show how two sets of values are related. A function is a special type of relation where every input has exactly one output.
A shape has rotational symmetry if it can be rotated around a central point and still look the same. The number of times the shape looks identical in one full rotation is called the order of symmetry.
In mathematics, a scale is the ratio between two sets of measurements, often used in maps, models, or drawings to represent large objects or distances in smaller, proportional sizes.
A sector is a portion of a circle enclosed by two radii and the corresponding arc. It resembles a “slice of pie.” The area of a sector can be calculated using the formula , where is the angle in radians.
An expression is in its simplest form when it has been reduced as much as possible, often by canceling out common factors or combining like terms. For example, the fraction simplifies to .
Singapore Math is a teaching method developed in Singapore that focuses on problem-solving and deep understanding of concepts. It uses visual aids and encourages mastery of topics through incremental learning.