Notes, summaries, assignments, exams, and problems for Secondary education

Hydrocarbon Classification and Properties

Chemical Categories

• Aliphatic: Chains/rings (Alkanes, Alkenes, Alkynes).
• Aromatic: Contains benzene ring.
• Derivatives: Organic. Atoms like O, N, halogens replace H.
• Inorganic: Oxides (CO₂, CO), Carbonates (CaCO₃, NaHCO₃), Carbides (CaC₂, SiC), Cyanides (NaCN).

Functional Groups

• Carboxylic Acid (-oic acid)

🥣 Pilzbouillon, Flädle & Zitronengras

2024 Rioja Blanco – Gómez Cruzado, Rioja

• Grapes: Mainly Viura with some Tempranillo Blanco
• Vinification: Fermented in stainless steel; short lees aging for texture
• Soil: Limestone-rich clay from the Alto Najerilla
• Character: Fresh pear, white flowers, subtle fennel, and a clean mineral line
• Why it works: The wine’s freshness lifts the lemongrass aromatics, while its soft texture follows the depth of the mushroom broth and the savory Flädle pancake.

🌱 Schwarzwurzel, Kräuterseitling, Birne & Miso

2019 “La Voluptueuse” Chardonnay – Domaine La Croix Montjoie, Vézelay

• Grapes: Chardonnay
• Vinification: Fermented and aged in old French oak, no new barrels; gentle bâtonnage
• Soil: Jurassic limestone

C++ Recursive Function Examples

countUp — Print Increasing Numbers

#include <iostream>
using namespace std;

void countUp(int n) {
    if (n == 0) return;
    countUp(n - 1);
    cout << n << " ";
}

int main() {
    int n;
    cout << "Enter a positive integer: ";
    cin >> n;
    countUp(n);
    return 0;
}

summation — Sum of 1 to n

#include <iostream>
using namespace std;

int summation(int n) {
    if (n == 0) return 0;
    return n + summation(n - 1);
}

int main() {
    int n;
    cout << "Enter a positive integer: ";
    cin >> n;
    cout << summation(n);
    return 0;
}

power — Exponentiation (Recursive)

#include <iostream>
using namespace std;

int power(int n, int e)

Exquisite Wine Pairings for Savory Plates

Shrimp, Cucumber, Lime & Vadouvan

“Revolution” White Solera – Johannes Zillinger, Niederösterreich, Austria

• Grapes: Riesling, Scheurebe, Chardonnay
• Vinification: Biodynamic; part fermented in amphora and old oak, then blended through a Solera system that began in 2013 — meaning each vintage adds layers of complexity over time.
• Soil: Loess and limestone.
• Character: Bright and complex — notes of lime zest, green apple, dried herbs, and a gentle oxidative nuttiness that gives depth without heaviness.
• Why it works: The lively acidity cuts through the shrimp’s sweetness and cucumber’s freshness, while the Solera’s subtle oxidation mirrors the warm spice of the vadouvan and lime.

Mushroom Broth,

🦐 Prawn, Cucumber, Lime & Vadouvan

• 2022 Moschofilero "Mantinia" – Bosinakis, Peloponnese
• Grape: Moschofilero
• Vinification: Stainless steel
• Soil: Limestone, 650 m altitude
• Style: Floral (rose, jasmine), citrusy, salty. The crisp acidity slices through prawn and Vadouvan spice.

🎃 Pumpkin, Hummus, Chimichurri & Almond

• 2023 "Cuvée Weiß" – Hofgut Dahlem, Rheinhessen
• Grapes: Riesling, Pinot Blanc, Müller-Thurgau
• Vinification: Stainless steel
• Soil: Loess & limestone
• Style: Fresh and light, with Riesling’s citrus, Pinot Blanc’s body, and Müller-Thurgau’s floral lift.

🍳 Egg Yolk, Mushroom, Spinach & Potato

• 2007 "Berg Rottland" Riesling Kabinett trocken – Johannishof, Rheingau
• Grape: Riesling
• Vinification: Stainless steel, long

1. Simplifying Algebraic Expressions

How to Simplify Algebraic Expressions

• Multiply numbers and letters together.
• Combine like terms (terms with the same letters and powers).

Example:
−2ac × 4bd = −8abcd

Example:
5ab − 8b²a + ba = 5ab − 8ab² + ab = −8ab² + 6ab

2. Expanding Brackets (Distributive Law)

How to Expand Brackets

• Multiply everything inside the bracket by what is outside.

Example:
−4(x + 7) = −4x − 28

Example:
5(x − 3) + 2(6 − x) = 5x − 15 + 12 − 2x = 3x − 3

3. Solving Equations

How to Solve Equations

• Get all variables (e.g., x's) on one side and numbers on the other.
• Perform the same operation on both sides of the equation.

Example:
3x + 2 = 17
3x = 15
x = 5

Example:
9x − 8 = 4x + 7
5x = 15
x = 3

4. Solving Inequalities

How

English Vocabulary: Social Action and Community Engagement

Unit 4: Social Action Vocabulary

• Attend a rally: asistir a una manifestación
• Appeal: recurrir
• Campaign
• Campaigner
• Charity
• Donate / Donation
• Fundraising event: evento para recaudar fondos
• Fundraiser: recaudador de fondos
• Go on a march: ir a una marcha
• Raise awareness of: concienciar / sensibilizar
• Raise funds / money: recaudar fondos
• Sign a petition: firmar una petición
• Sit-in: sentada
• Sponsor: patrocinar
• Sponsorship: patrocinio / apadrinamiento
• Take part in a [cause/event]
• Volunteer
• Voluntary work

Unit 4: Key Collocations

• Animal charity
• Beach clean-up
• Cancer research
• Computer game
• Death penalty
• Endangered species
• Free debate
• Homeless person
• Informed decision
• Political engagement: compromiso político
• Legal age:

Classical Music Era: Forms, Instruments, Reforms

Defining the Classical Period (Mid-18th to Early 19th)

The Classical period in music spans from the mid-18th to the early 19th century, generally marked by the death of J.S. Bach in 1750 and the premiere of Beethoven's Third Symphony, Eroica, in 1805.

Operatic Reforms by Christoph Willibald Gluck

Operatic reforms during the Classical period were primarily led by the composer Christoph Willibald Gluck, who sought to simplify opera and make it more dramatically coherent.

Key Musical Forms of the Classical Period

• Concerto: A musical composition where one solo instrument plays a leading role, accompanied by an orchestra.
• Symphony: A large-scale work of music composed specifically for an orchestra, typically

English Verb Tenses: Structure and Usage

Present Tenses Comparison

This section details the structure (Affirmative, Negative, Interrogative) and common time expressions for the main present tenses.

Present Simple

• Affirmative (A): Base form (e.g., play).
• Negative (N): don't play / doesn't play.
• Interrogative (I): Does he + Base Verb Form?
• Keywords: every day, on Sundays, always, often, never.

Present Continuous

• Affirmative (A): to be (am/is/are) + V-ing (e.g., are listening).
• Negative (N): aren't / isn't + V-ing.
• Interrogative (I): Are they + V-ing?
• Keywords: now, right now, at the moment.

Present Perfect Simple

• Structure: Use have or has + Past Participle (V3).
• Negative (N): haven't / hasn't + V3.
• Verb Forms:
  • If the verb is regular, use the -ed form.
  • If the

Present Continuous

Vocabulary

• Hobbies: Chess (ajedrez), collecting things (coleccionar cosas), drawing (dibujo).
• Emotions: Annoyed (enfadado), embarrassed (vergüenza), excited (emocionado), frightened (asustado), jealous (celoso), pleased (contento), upset (disgustado).
• Places: Chemist's (farmacia), jeweller's (joyería), newsagent's (quiosco), post office (oficina de correos), shoe shop (zapatería).
• Chores: Clean the floor (limpiar el suelo), do the cooking (cocinar), do the ironing (planchar), do the shopping (hacer la compra), do the washing (hacer la colada), hoover the carpets (pasar