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1

Variables

Letters representing unknown or changing values in algebraic expressions.

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2

Terms

Numbers or letters alone or multiplied together, separated by + or - signs in expressions.

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3

Expressions

Combinations of terms using + or - signs, without an = sign.

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4

Equations

Two expressions set equal to each other with an = sign, indicating equal values on both sides.

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5

Like terms

Terms with the same variable raised to the same power, used for simplifying expressions.

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6

PEMDAS

Order of operations - Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.

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7

Factoring

Breaking down algebraic expressions into simpler forms, often using product and sum methods.

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8

Formulas

Mathematical rules using variables that are always true, allowing substitution of values.

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9

Rearranging Formulas

Moving variables to one side of an equation by using opposite operations.

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10

Composite Functions

Functions where the output of one becomes the input of another function.

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11

Graphs

Representations of mathematical relationships on coordinate planes.

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12

Transformations of Graphs

Movements of graphs vertically or horizontally, and reflections over axes.

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13

Graphs of Lines

Equations in the form y=mx+c, showing slopes and intercepts.

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14

Graphs of Quadratics

Representations of equations in the form y=ax²+bx+c, including turning points and symmetry.

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15

Graphs of Circles

Representations of circles with equations like (x-h)²+(y-k)²=r².

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16

Graphs of Inequalities

Representations of regions where inequalities are true on graphs.

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17

Solving Equations

Finding values that make equations true, often using rearrangement and order of operations.

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18

Simultaneous Equations

Solving systems of equations using substitution or elimination methods.

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19

Solving Quadratic Equations

Finding solutions to equations of the form ax²+bx+c=0 using factoring, quadratic formula, or completing the square.

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20

Inequalities

Expressions showing relationships between values that are not equal, solved similarly to equations but with attention to negatives.

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21

Sequences

Sets of numbers following patterns, including arithmetic, geometric, and linear sequences.

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22

Square numbers

Numbers obtained by multiplying a number by itself, e.g., 1, 4, 9, 16, 25, 36...

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23

Cube numbers

Numbers obtained by multiplying a number by itself three times, e.g., 1, 8, 27, 64, 125...

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24

Triangular numbers

Numbers that can be represented as a triangle of dots, with each term obtained by adding one more than the previous term, e.g., 1, 3, 6, 10, 15...

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25

Triangular numbers nth term formula

The formula to find the nth triangular number is [n(n+1)]/2.

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26

Fibonacci sequence

A sequence where each term is the sum of the two preceding terms, starting with 1, 1, e.g., 1, 1, 2, 3, 5, 8, 13...

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