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ToggleThe **rank of a matrix** is the maximum number of linearly independent row or column vectors in the matrix. It represents the dimension of the vector space generated by its rows or columns.

**Real numbers** include all numbers that can be found on the number line, including positive and negative integers, fractions, and decimals. Examples: $3, -4.5, \frac{7}{2}, \sqrt{2}$ .

A **rectangular prism** is a three-dimensional solid shape with six faces, where each face is a rectangle. It has length, width, and height.

This seems to be a non-standard term in English. In some Indian languages, it may refer to **geometric figures** or **lines**.

A **relation** in math is a set of ordered pairs that shows a relationship between elements of two sets. Example: $R = \{ (1, 2), (3, 4), (5, 6) \}$ .

A **relation** in math can be downloaded as a PDF document that explains the relationship between two sets of values, usually in the form of ordered pairs.

**Relative speed** is the speed of one object as observed from another moving object. When two objects move in opposite directions, the relative speed is the sum of their speeds.

**Repeated halving** refers to dividing a number or quantity by 2 multiple times.

**Retail math** includes skills such as calculating markups, discounts, inventory turnover, sales forecasting, and profit margins, all essential for managing retail businesses.

In math, **revolve** means to rotate a figure or shape around a line or axis, often used in geometry or calculus to find volumes of revolution.

When a shape is **revolved** in math, it is rotated around an axis, creating a three-dimensional solid from a two-dimensional figure.

A **rotation** in math is a transformation that turns a shape around a fixed point (the center of rotation) by a certain angle.

In math, **$S$**** ** often represents a **set**, but it can also represent variables such as **sum**, **surface area**, or other context-specific quantities.

**Salinity math** involves calculating the concentration of salt in water, typically expressed as grams of salt per liter of water.

A **scalar** in math is a single number that multiplies a vector or matrix. **Scalar 2** means multiplying by 2, scaling the vector or matrix by a factor of 2.

**Seventh grade math** typically includes topics such as algebra, geometry, ratios, proportions, and basic statistics.

**SF** stands for **significant figures**. The number 3.235 has **4 significant figures**.

A **significant figure** refers to the digits in a number that carry meaning towards its precision, starting from the first non-zero digit.

In math, **similarity** refers to figures that have the same shape but not necessarily the same size. Their corresponding angles are equal, and their sides are proportional.

Many fields seem unrelated to math, but almost everything involves math in some way. For example, art might not seem related, but perspective drawing uses geometry.

**Spatial thinking** in math refers to the ability to visualize and manipulate shapes and objects in one’s mind, essential in geometry and problem-solving.

In a math project, **speed** is calculated as **distance divided by time**. The formula is $\text{speed} = \frac{\text{distance}}{\text{time}}$.

In math, a **rational number** in **standard form** is expressed as $\frac{a}{b}$ , where $a$ and $b$ are integers and $b \neq 0$ .

**Standard math practice** refers to commonly accepted methods or techniques used in solving math problems, such as **PEMDAS** (Order of Operations).

In math, **steadily** means increasing or decreasing at a constant rate over time.

A **strong positive association** in statistics occurs when one variable increases as the other variable increases, indicating a strong correlation.

**Success criteria** in math lesson planning refers to what students should achieve by the end of the lesson, such as being able to solve specific types of problems.

The **successor** of a number is the number that comes immediately after it. The successor of **164539** is **164540**.

In Excel, the **SUM function** adds all the numbers in a range of cells. Example: $\text{SUM}(A1:A10)$ .

A **superscript** is a number or symbol written above and to the right of another number, like an exponent in $x^2$ .

In business math, **supply** refers to the quantity of goods available at a given price in a market.

**Surface area** is the total area of all the faces of a 3D object. **Volume** is the amount of space inside the object.

A **surjective function** (onto function) is one in which every element of the codomain has a preimage in the domain.

A **surjective function** is the same as above, meaning every output is mapped to by at least one input.

In **discrete math**, a function is **surjective** if every element in the target set has a corresponding element in the domain.

Same as above: a function where every element in the codomain is covered by at least one element in the domain.

In **LaTeX**, math symbols like $\alpha$ , $\beta$ , $\pi$ , and many more are represented with specific commands. For example, $\backslash alpha$ gives $\alpha$ .

The **tan inverse** ( $\tan^{-1}$ or **arctan**) of a value is the angle whose tangent is that value. For example, $\tan^{-1}(1) = 45^\circ$ or $\frac{\pi}{4}$ .

In geometry, a **tangent** is a line that touches a curve at exactly one point. In trigonometry, the **tangent** of an angle is the ratio of the opposite side to the adjacent side in a right triangle.

**Technical math** typically refers to math courses focused on practical applications in fields like engineering, technology, and trade professions.

This might refer to **Math 060**, an introductory math course often covering algebra or pre-algebra topics. Practice tests assess students’ understanding of the material.

The **additive inverse** property states that the sum of a number and its opposite (inverse) is zero. Example: $5 + (-5) = 0$ .

The **answer** in math is the solution to a given problem, calculated using appropriate methods and steps.

Popular books for **IB Math HL** include **Oxford IB Diploma Programme: Mathematics Higher Level** and **Haese Mathematics HL Textbook**.

The best time for **math lessons** depends on the students, but research suggests that early in the day, when students are more alert, might be ideal.

**Consecutive** refers to numbers that follow each other in order, without any gaps. Example: $1, 2, 3$ are consecutive numbers.

In math, **count** refers to the total number of items or elements in a set or collection.

A **critical value** in calculus is a point on a function where its derivative is zero or undefined, often indicating a local maximum or minimum.

In math, **data** refers to a collection of numbers or values gathered to analyze and interpret information.

The **LCM** (Least Common Multiple) is the smallest multiple that two or more numbers share. Example: the LCM of 4 and 5 is 20.

A **numerical expression** is a mathematical phrase that contains numbers and operations but no variables. Example: $5 + 3 – 2$ .

This is the same as above—a mathematical phrase with numbers and operations, like $4 \times (6 + 3)$ .

In math, a **base** refers to the number that is raised to a power in an expression. Example: in $2^3$ , 2 is the base.

For Grade 8, **base** refers to the number in an expression that is raised to a power or exponent.

The **center of dilation** is the fixed point in a dilation transformation where all points are expanded or contracted.

A **composite figure** is a shape made up of two or more simple geometric figures, like a rectangle combined with a triangle.

In math, a system is **consistent** if it has at least one solution.

A **consistent system** is a set of equations that has one or more solutions.

The **derivative** of a function represents the rate at which the function’s value changes as its input changes.

A **distribution** in math refers to how values are spread or distributed, often represented in probability or statistics.

An **expression** is a combination of numbers, variables, and operations. Example: $3x + 2$ .

Same as above: a mathematical phrase that can contain numbers, variables, and operations.

Same as above: **expressions** are combinations of symbols that represent a quantity.

A **formula** is a mathematical rule written using symbols. Example: the area of a rectangle is $A = l \times w$ .

In math, **indicate** means to show or point out something, often a value or result.

An **intersection** is the set of elements that two or more sets have in common.

The **mean** is the average of a set of numbers, found by adding them up and dividing by the number of elements.

The **mode** is the value that appears most frequently in a data set.

A **pattern** in math is a sequence or arrangement of numbers or objects that follow a specific rule or formula.

A **relationship** in math describes how two quantities or variables are connected.

A **right angle** is an angle that measures exactly $90^\circ$ .

The **degree symbol** ($\circ$) is used to denote angles or temperature.

**Probability** is the measure of how likely an event is to occur, while **possibility** refers to whether an event can occur at all, without any measure of likelihood.

These are different ways to refer to the same subject. **Math** is used in American English, while **maths** is used in British English. **Mathematics** is the formal term.

A **translation** moves every point of a shape or figure the same distance in the same direction without rotating or resizing it.

**Further HL Maths** refers to **Further Mathematics** at the **Higher Level (HL)** in the International Baccalaureate (IB) program, which covers advanced topics.

**Further Maths** is an advanced A-level subject that covers more complex topics than regular A-level math.

The goal is to make math concepts accessible and understandable for students with communication difficulties, using clear explanations, visual aids, and interactive methods.

In **IGCSE Maths**, grading ranges from *A to G** in the old system, and **9 to 1** in the new system, where **9** is the highest.

The **greatest proportion** refers to the largest ratio or relative amount in comparison to other proportions.

**Measurement** in math is essential for quantifying and comparing the size, length, area, volume, and other properties of objects and spaces.

The **least** in math refers to the smallest value in a set, while **mean** refers to the average.

The **Math IA (Internal Assessment)** in the IB program typically has a word limit of **12-20 pages**, depending on the guidelines.

The longest math word is **pneumonoultramicroscopicsilicovolcanoconiosis**, a lung disease that can be represented using probability or statistics, though not directly a math term.

The math term for **power** refers to the exponent in an expression like $x^n$ , where $n$ is the power.

This is a reference to a specific online platform, and passwords would be provided by the platform admin.

This also refers to an online resource, and the password would typically be provided by the website.

The **mean** of a data set is the average value, found by adding all numbers and dividing by the count of the numbers.

A **verbal expression** in math is a statement or phrase that describes a mathematical operation or equation in words.

In geometry, the **altitude** is the perpendicular distance from the base to the highest point of a shape, such as a triangle.

A **bar over 35** (like $\overline{35}$ ) could mean that the number 35 repeats indefinitely, often used in recurring decimals.

**Congruent triangles** are triangles that are identical in shape and size, meaning their corresponding sides and angles are equal.

A **constant** is a value that does not change. In algebra, constants are the numbers that remain the same throughout the equation.

A **decade** refers to a period of 10 years or any grouping of 10 items.

An exclamation mark in math ( $n!$ ) represents a **factorial**, meaning the product of all positive integers up to $n$.

An **expression** is a mathematical phrase that contains numbers, variables, and operations.

A **figure** in math refers to a geometric shape, such as a circle, triangle, or square.

In math, a **gallon** is a unit of measurement for liquid volume, commonly used in the United States.

To **generate** in math means to produce a sequence, pattern, or set of numbers following a specific rule.

**Hence** in maths means “as a result” or “therefore,” used to indicate the next logical step in a solution.

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