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IBDP Math AI: Essential Core Concepts

Foundational definitions and concepts for IBDP Mathematics: Applications and Interpretation, covering number, algebra, functions, and statistics.

20 cards

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#1

Front

Exact vs. Approximate Values

Back

Exact values are precise representations (e.g., fractions, surds like √2, or π), whereas approximate values are rounded decimals (e.g., 3.14). In modeling, exact values are preferred for intermediate calculations to avoid rounding errors.

#2

Front

Scientific Notation

Back

A way of writing numbers that are too big or too small in the form a × 10^k, where 1 ≤ a < 10 and k is an integer. This is essential for handling very large or small quantities efficiently in calculations.

#3

Front

Arithmetic Sequence Definition

Back

A sequence of numbers where the difference between consecutive terms is constant. This difference is called the common difference (d). Example: 2, 5, 8, 11... where d = 3.

#4

Front

Geometric Sequence Definition

Back

A sequence where each term after the first is found by multiplying the previous term by a constant called the common ratio (r). Example: 3, 6, 12, 24... where r = 2.

#5

Front

Sigma Notation (Σ)

Back

The symbol Σ (capital sigma) is used to represent the sum of a sequence of terms. It allows for the concise representation of series, such as the sum of the first n integers.

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