## Patterns, Symmetries and Basic Algebra Terms

**Arithmetic progression:**A sequence (series) of numbers in which there is a common difference between any two adjacent elements of the sequence. Example: 2, 4, 6, 8…

**Consecutive:**Numbers that follow each other in an unbroken sequence.

**Half turn:**A rotation of 180º about a point.

**Line of symmetry:**A line that divides a figure into two halves that are mirror images of each other.

**Line symmetry:**If a figure can be folded along a line so that the two halves match exactly, then the figure has line symmetry.

**Point (central) symmetry:**A figure that can be turned exactly 180º about a point and fit exactly onto itself has point symmetry.

**Quarter turn:**A rotation of 90º about a point.

**Reflection (flip):**A transformation creating a mirror image of a figure on the opposite side of a line.

**Repeating decimal:**A decimal which has repeating digits or a repeating pattern of digits. Example: 1/3 = 0.3333....

**Revolution:**A rotation of 360º about a point.

**Rotation (turn):**A transformation in which a figure is turned a given angle and direction around a point.

**Sequence (Series):**A set of numbers arranged in a special order or pattern.

**Symmetry:**An object is symmetrical when one half is a mirror image of the other half.

**Transformation:**A rule for moving every point in a figure to a new location.

**Translation:**A transformation that slides a figure a given distance in a given direction.

**Turn centre:**The point around which a figure is rotated.

**Algebra:**An area of mathematics where numbers are represented by letters.

**Equation:**A mathematical sentence that contains an = sign to show that two expressions are equal.

**Expression:**A combination of signs, variables, numbers and symbols that represents a mathematical relationship. Example: 3x + 2y

**Inequality:**A mathematical sentence that compares two unequal expressions using one of these symbols: <, >, ≤, ≥ and ≠

**Variable:**A letter used to represent an unknown number. Anything that does not have a fixed value.

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