MYP MYP Standard Mathematics

If a quantity has true value $T$ and an estimate (or measured value) $A$, the absolute error is $|A-T|$.

For a real number $x$, the absolute value $|x|$ is its distance from $0$ on the number line.

If you add (or subtract) the same quantity to both sides of an equation, the resulting equation is equivalent to the original.

For any events $A$ and $B$,
$$P(A\cup B)=P(A)+P(B)-P(A\cap B).$$

The angle between a **tangent** and a **chord** at the point of contact equals the angle subtended by that chord in the alternate segment of the circle.

An angle formed when two lines from a point meet two points on a circle. For example, chord $AC$ subtends an angle at the center $\angle AOC$ and an angle at the circumference $\angle ABC$.

The point where the triangular faces of a pyramid (or the curved surface of a cone) meet.

A part of the circumference of a circle between two points.

The measure of the size of a two-dimensional surface, expressed in square units.

The vertical line that divides the parabola into two mirror-image halves. Its equation is $x=x_v$.

A chart that displays frequencies for qualitative categories using separated, equal-width bars where bar height represents frequency.

The number being raised to a power in an exponential expression.

Data consisting of pairs of values $(x, y)$ where two quantitative variables are measured for each case.

A diagram that displays the five-number summary using a box from $Q_1$ to $Q_3$, a median line, and whiskers extending to the minimum and maximum (or to the most extreme non-outlier values, depending on convention).

The amount of space available to hold something, often measured in liters (L) or milliliters (ml).

The cardinality of a set $A$, written $n(A)$, is the number of elements in $A$.

A grid formed by two perpendicular number lines, the x-axis (horizontal) and y-axis (vertical), used to locate points with ordered pairs $(x,y)$.

Data grouped into categories or labels (for example, eye color, type of transport). Arithmetic operations like averaging are not meaningful.

The point inside a circle that is the same distance from every point on the circumference.

A line segment joining two points on the circumference of a circle.

The curved boundary (perimeter) of a circle.

A range of values (such as $20.0 < x \le 20.5$) used to group quantitative data in a frequency table.

The set of elements not in a set. The complement of $A$ (relative to $U$) is $A'$.

A method of rewriting a quadratic into a perfect-square form (plus or minus a constant), allowing solutions by taking square roots.