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Toggle**LCM (Least Common Multiple)**is the smallest multiple that two or more numbers share.**LCD (Lowest Common Denominator)**is the smallest common denominator that two or more fractions share.

The **LCM** of two numbers $a$ and $b$ is the smallest number that is divisible by both $a$ and $b$.

**LCM** is the lowest multiple that is common to two or more numbers.

In simple terms, **LCM** is the smallest number that both numbers can divide into evenly.

**Least** refers to the smallest value in a set of numbers or the smallest possible value that satisfies a condition.

The **least squares method** is a statistical technique used to minimize the differences between observed and predicted data points by finding the best-fitting line.

**Lim** is shorthand for **limit** in calculus, representing the value that a function approaches as the input approaches a certain value.

A **line of symmetry** divides a shape into two identical parts, where one side is the mirror image of the other.

It’s the line that splits a figure into two parts that are identical mirror images.

The **linear parent function** is the simplest form of a linear equation: $f(x) = x$ , where the graph is a straight line with a slope of 1 and passes through the origin.

**LOC** often stands for **Location** or **Line of Centers** in certain math contexts, but it may depend on the specific application.

**Long-term** typically refers to trends or behavior of functions, sequences, or systems as time progresses indefinitely.

In certain contexts, **m/s** refers to **meters per second**, a unit of speed or velocity.

A **math error** on a calculator indicates that the operation you tried to perform is mathematically undefined or impossible (e.g., dividing by zero).

For the **Math HL Internal Assessment (IA)**, the page limit usually includes text, graphs, and appendices, though exact guidelines should be checked with the IB specifications.

**Math theories** are formal explanations of relationships between mathematical concepts, often expressed through **theorems**, **proofs**, and **definitions**.

In programming (e.g., Python), `**Math.pow()**`

calculates a number raised to the power of another number (e.g., `Math.pow(2, 3)`

returns 8).

In **Java**, `Math.pow()`

returns the value of the first argument raised to the power of the second argument.

**Mean** is the average of a set of numbers, calculated by dividing the sum of all values by the total number of values.

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

A system or data set that is **more consistent** has less variability or fluctuation in the values or outcomes.

There isn’t a standard acronym **“MPIRE”** in math; it may be a typo or acronym specific to a certain institution or context.

- $n$ often represents the
**number of elements**in a set or sample. - $p$ often represents
**probability**in statistics or binomial experiments.

**NCD** usually stands for **Numerical Control Data**, though its application varies across contexts. In probability, it may refer to **normal cumulative distribution**.

The **New Math** movement focuses on conceptual understanding rather than memorization. It introduces topics like **set theory**, **modular arithmetic**, and **base number systems** earlier in education.

A quantity with **no magnitude** means it has a value of zero or no measurable size.

There’s no common use of **NPD** in standard math. It may be an abbreviation specific to a particular field or context.

In math, an **oblong** refers to a rectangle or an elongated figure with unequal adjacent sides.

In math, **OE** could stand for **Or Equal**, commonly used in inequalities as $\leq$ or $\geq$.

In math, **“of”** typically indicates multiplication. For example, 50% **of** 20 means $0.50 \times 20$ .

One squiggly line, or **~**, can represent **approximation** or **similarity** in geometry.

In probability, **P (no match)** could refer to the probability that none of the outcomes match a certain event.

**Parity** refers to whether a number is **even** or **odd**. Even numbers have a parity of 0, while odd numbers have a parity of 1.

In **SAT** tests, **Passport to Advanced Math** requires understanding of higher-level algebra topics like **functions**, **quadratic equations**, and **nonlinear expressions**.

A **math phrase** refers to an algebraic or numerical expression without an equals sign (e.g., $2x + 5$ ).

A **plane** in math is a flat, two-dimensional surface that extends infinitely in all directions.

In math, **position** refers to the location of a point in space, typically given by coordinates in a plane or space.

A **proportion** is an equation stating that two ratios are equal, such as $\frac{a}{b} = \frac{c}{d}$.

The term **proportion** in math means a statement that two ratios or fractions are equal.

**Pure math** focuses on abstract mathematical theories and concepts, as opposed to applied mathematics, which focuses on solving real-world problems.

A **ratio** is a comparison of two numbers by division. It shows how many times one value contains or is contained within the other.

To **rationalize** in math means to eliminate a radical (usually a square root) from the denominator of a fraction by multiplying both the numerator and denominator by an appropriate value.

**Real numbers** include all the numbers on the number line, including integers, fractions, and irrational numbers (like $\pi$ ).

A **reasonable** answer makes sense in the context of the problem, while an **unreasonable** answer does not fit the situation or constraints.

A **reasonable answer** in math is an answer that logically fits the context and is within expected bounds.

A **reasonable estimate** is a close approximation that makes sense based on the numbers provided.

**Reasonable** in a math problem means the solution is logical and fits the situation described in the problem.

**Reasonable** means that the result or estimate fits the context of the problem and is likely correct within reasonable limits.

**Receive** isn’t a common term in math, but in context, it could refer to receiving or collecting data in statistics or probability.

**Recipient** in a math context may refer to the entity receiving a value, outcome, or data in a problem.

The **reciprocal** of a number is 1 divided by that number. For example, the reciprocal of 5 is $\frac{1}{5}$.

A **relation** is a set of ordered pairs, typically representing a relationship between inputs and outputs.

In French, **relative** is translated as “**relatif**,” and in math, it refers to the relative position or value in comparison to another.

To **repeat** in math can refer to repeating patterns in sequences or repeating digits in decimal numbers.

In math, **revenue** refers to the total income generated from sales or services, typically calculated by multiplying **price** by **quantity sold**.

**RTP** can stand for **“Required to Prove,”** often used in proofs or problem-solving tasks.

**S** is commonly used to represent **sum**, **speed**, or a set in set theory.

To **simplify a ratio** means to reduce the numbers in the ratio to their smallest whole number form while maintaining the same proportion.

**Standard math practice** refers to commonly accepted methods of solving math problems, including the use of algorithms and techniques like **long division**.

**Steadily** refers to a constant rate of change, such as a straight line on a graph representing a linear relationship.

In an equation, the **subject** is the variable that is being solved for.

**Symbols** in math represent various operations, constants, and variables, such as $+, -, \times, \div, =$ and $\pi$ .

A **tangram** is a geometric puzzle consisting of seven flat pieces that can be arranged to form different shapes.

The **crocodile mouth** refers to the **greater than** ( $>$ ) or **less than** ( $<$ ) symbols. The “mouth” always opens toward the larger number.

The **gamma symbol** $\Gamma$ represents the **gamma function** in mathematics, which generalizes factorials to non-integer values.

Math symbols represent various operations and relationships, such as:

- $+$ for addition
- $\times$ for multiplication
- $\sqrt{}$ for square root
- $\int$ for integration

**Min** stands for **minimum**, the smallest value in a set of numbers.

In **statistics**, asterisks or stars often represent the **significance level** of data results.

The symbol **$\mathbb{R}$**** ** stands for the set of **real numbers**, which includes all rational and irrational numbers.

**Reasonable** in math means an answer or estimate that makes logical sense in the context of the problem.

Two vertical lines $|x|$ indicate the **absolute value** of $x$ , which is always non-negative.

**At least** means the value is greater than or equal to a certain number.

**Congruent** means that two figures or shapes are identical in size and shape.

**Consecutive** refers to numbers or objects that follow each other in order without gaps (e.g., 1, 2, 3).

**LCM** stands for **Least Common Multiple**, the smallest multiple shared by two or more numbers.

**Positive** refers to a number greater than zero.

In math, **reasonable** means that the solution or answer fits within the context of the problem and makes logical sense.

The symbol **Ø** represents the **empty set**, a set that contains no elements.

Three lines $\equiv$ often represent **equivalence**, meaning two things are identical in value or form.

In geometry, **through** refers to a point lying on a line or plane (e.g., “The line passes **through** point A”).

A **tonne** is a metric unit of mass equal to **1,000 kilograms**.

A **transformation** in math refers to changes made to a figure or function, such as:

**Translation****Rotation****Reflection****Dilation**

A **two-way table** displays data that pertain to two different categories, used to organize and analyze bivariate data.

In sequences, **U(n)** often represents the **nth term** in a sequence.

**Unrestricted** means that there are no specific constraints or limitations on a value or variable.

To **write an expression** means to create a mathematical phrase that can include numbers, variables, and operations, but no equal sign.

In math, **x** is commonly used to represent an unknown variable or a value to be solved.

Engineers often say that math is an essential tool for solving real-world problems, particularly in fields like mechanics, electronics, and design.

In general, engineers view math as the **foundation of engineering**, required for calculations, analysis, and system design.

An **inverse function** reverses the operation of a function, so if $f(x)$ gives $y$ , then the inverse $f^{-1}(y)$ gives $x$ .

This could be a reference to obtaining a result of **11.25** in a calculation, perhaps from multiplying or dividing two values.

In the **11+ exams**, a score of 80-85% is often considered passing, though this varies by school and region.

**Level 3 Maths** refers to **A-level Maths** or equivalent, typically studied at ages 16-18.

If you fail math in **9th grade** CBSE, you may need to retake the exam in supplementary exams, or in some cases, repeat the year.

If you fail a math course in university, you may have to **retake** the course, or it could affect your GPA or graduation progress, depending on university policies.

When a power is raised to another power (e.g., $(x^2)^3$ , you **multiply the exponents**, so the result is $x^6$ .

A **statistical model** is a mathematical representation of data, used to describe relationships between variables, such as **regression models**.

“What if” questions in grade 8 math encourage critical thinking, such as exploring what happens if certain values are changed in a problem.

Using a **scientific calculator** on SAT 2 Math is allowed, but a **graphing calculator** is recommended for efficiency and solving more complex problems.

If you have two modes in a data set, it’s called **bimodal**, meaning the data set has two values that appear most frequently.

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