This section covers ratio calculations and statistical concepts, providing practical applications and mathematical methods for data analysis.

Example: A practical demonstration shows how to divide 240€ between two people in a 2:3 ratio, resulting in 96€ and 144€ respectively.

Definition: Frequency is defined as the ratio of an event's occurrence to the total number of observations, often expressed as a percentage.

Vocabulary: Median - the middle value in a sorted dataset, calculated by finding the average of the two central values when there's an even number of observations.

A comprehensive exploration of geometric transformations and three-dimensional measurements, focusing on symmetry types and volume calculations.

Definition: Three main types of symmetry are covered: axial symmetry, central symmetry, and translational symmetry.

Highlight: All symmetry operations preserve lengths, angles, and areas of the original figure.

Example: Volume formulas are provided for various 3D shapes, including cube $V=C³$, cylinder $V=πr²h$, and cone $V=⅓×π×r²×h$.

This page details area calculations for various shapes and introduces scientific notation concepts.

Definition: Area formulas are presented for basic shapes including squares $A=c²$, rectangles $A=L×l$, and circles $A=πr²$.

Vocabulary: Scientific notation is explained as expressing numbers in the form a×10ⁿ, where a is between 1 and 10.

Example: Speed conversion between m/s and km/h is demonstrated using the factor 3.6.

The final page focuses on algebraic operations, particularly expansion and factorization of expressions.

Definition: Development of expressions involves converting products into sums, while factorization involves converting sums into products.

Example: Various algebraic techniques are demonstrated, including simple distributivity and notable identities.

Highlight: The page concludes with important metric prefixes and trigonometric relationships.

This page introduces two crucial geometric theorems: the Pythagorean Theorem and Thales' Theorem. The content provides detailed mathematical explanations with formal proofs and applications.

Definition: The Pythagorean Theorem states that in a right triangle ABC with right angle at A, BC² = AB² + AC².

Example: The reciprocal of the Pythagorean Theorem is demonstrated, showing that if BC² = AB² + AC², then triangle ABC must be right-angled at A.

Highlight: Thales' Theorem is presented with its reciprocal, focusing on parallel lines and proportional segments.