You DO the Math!: English Vocabulary List

(geometry) a lack of symmetry or equivalence in shape or size between the two sides or parts of something

"The design's asymmetry made it interesting."

"The architect deliberately introduced asymmetry into the building's design for a unique aesthetic."

the branch of mathematics that comprises differentials and integrals

"Calculus is advanced mathematics with limits."

"Calculus is the mathematical study of continuous change"

(mathematics) an interdisciplinary theory about complex systems that obey particular laws but appear to have little or no order

"Chaos theory studies unpredictable systems like weather."

"Chaos theory studies how tiny changes in initial conditions can lead to vastly different outcomes over time."

a branch of mathematics that studies the strategies of dealing with competitive situations involving conflict of interests, especially in business, war, etc.

"Use game theory."

"Economists use game theory to predict how people make decisions in competitive situations."

a branch of mathematics that deals with the relationships between the angles and sides of triangles

"We learned trigonometry."

"Trigonometry is essential for fields like surveying, navigation, and engineering, where precise calculations of angles and distances are required."

(geometry) a symmetrical open curve that is similar to the path of an object thrown into the air passes till it falls back to earth

"The parabola is a curve."

"The ball flew in a perfect parabola before landing exactly where the player had aimed it."

(mathematics) a statement indicating the equality between two values

"This is a simple equation."

"The mathematical equation stated that the sum of the two variables was equal to ten."

a straight line from one side of a round object, particularly a circle, passing through the center and joining the other side

"The diameter of the circle is ten centimeters."

"The diameter of the tree trunk was so large that two people could not wrap their arms around it."

related to a configuration where two or more components share a common axis or same center point

"We need a coaxial cable."

"We need a coaxial cable to connect the antenna to the television for better reception."

a device used to measure and record precise time intervals

"The chronograph recorded the race time."

"He bought an expensive wrist chronograph that can measure very short time intervals accurately."

to examine, repair, and make significant improvements or changes to something

"We need to overhaul the engine."

"The mechanic had to completely overhaul the old engine because it was not working properly."

a device used for measuring electrical resistance in a circuit, stated in ohms

"He used an ohmmeter to check the circuit."

"The electrician used an ohmmeter to check the resistance in the circuit yesterday."

a small piece of material that is a semiconductor, used to make an integrated circuit

"A tiny microchip contains the entire computer processor."

"A microchip implant is a small identifying integrated circuit placed under the skin of an animal; it is passive"

a long rigid bar that is put under a heavy object in order to move it

"Use the lever."

"The worker used a long metal lever to lift the heavy rock applying force at one end to move the load at the other end."

a substance that doesn't conduct heat, sound, etc.

"Good insulator prevents."

"Rubber is a good insulator that prevents electricity from flowing through it safely."

a branch of mathematics that focuses on studying rates of change and instantaneous variations through the concept of derivatives

"Differential calculus finds rates."

"Students study differential calculus to understand rates of change in mathematics class."

a mathematical function that represents the exponent to which a fixed number, called the base, must be raised to produce a given number

"Calculate the logarithm now."

"The logarithm of 100 to the base 10 is 2, because 10 raised to the power of 2 equals 100."

a number that indicates the position of something in a sequence, such as third, second, etc.

"First is an ordinal number."

"Ordinal numbers indicate position such as first second or third in a sequence."

a branch of mathematics that deals with addition, subtraction, multiplication, etc.

"We learn arithmetic in elementary school."

"Basic arithmetic skills like addition and subtraction are essential for managing personal finances every day."

the central point or line around which an object turns

"The earth spins on its axis."

"The planet's rotation on its axis is responsible for the cycle of day and night experienced by its inhabitants."

(in geometry) describing shapes of the same size and form

"The triangles are congruent."

"The two triangles are congruent because they have the same shape and size."

(mathematics) a number less than one, called a fraction, that is represented as a period followed by the number of tenths, hundredths, etc.

"0.5 is a decimal."

"The price was represented as a decimal, indicating a value less than one whole unit."

a rectangular array of numbers or symbols organized in rows and columns, commonly used in linear algebra for representing equations, transformations, and vector operations

"The matrix has three rows and four columns."

"A matrix is a rectangular array of numbers or symbols arranged in rows and columns"

the length of a straight line drawn from the center of a circle to any point on its outer boundary

"The radius measures five inches."

"The radius of the circular pool was measured from the center to the edge."

the rate at which a quantity or dimension changes over a given distance or interval

"The car could not climb the steep gradient of the hill."

"A pressure gradient is the rate of change in atmospheric pressure over a certain distance"

(geometry) the length of the external boundary of a curved shape, especially a circle

"Circumference is a length."

"We calculated the circumference of the circular garden to determine how much fencing was needed."

(mathematics) the average value of a set of quantities calculated by adding them, and dividing them by the total number of the quantities

"Calculate the mean score."

"The mean score for the class on the exam was 85%, indicating a generally good understanding of the material."

a device that allows movement between mechanical parts of a machine or converts backward and forward motion into circular movement

"He turned the crank slowly."

"A crank converts linear motion into circular motion for a machine."

(mathematics) the number of elements or members in a set, representing its size or quantity

"The cardinal is five."

"The cardinal of the set containing all prime numbers less than ten is four."

to multiply a value or number by itself two times

"Cube the number three."

"To find the volume of a perfect cube, you must cube the length of one of its sides."

(mathematics) the exponent in an expression, indicating how many times a base is multiplied by itself

"This is power three."

"The expression showed a number raised to the power of ten, indicating exponential growth."

the range of different wavelengths or frequencies of light or radiation

"We can see the visible spectrum in a rainbow."

"The color spectrum shows all visible colors from red to violet clearly."