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

Common Crime-Related Idioms

• Crime wave: A sudden increase in the amount of crime in an area.
• Pull a fast one: To trick or deceive someone.
• Face the music: To accept the unpleasant consequences of one’s actions.
• Do something by the book: To strictly follow the established rules.
• Get away with murder: To do something very bad without being punished.
• Bail out: To pay money to get someone out of jail.
• Serve/Do time: To spend time in prison.
• Catch someone red-handed: To catch someone in the act of doing something wrong or illegal.
• Crime spree: A series of crimes committed in a short period.
• Do a runner: To leave a place quickly to avoid punishment.
• Go straight: To stop being involved in criminal activities.
• Get off scot-free: To escape punishment for something.

Motion in a Plane

Magnitude of vector: |A| = √(a_x² + a_y² + a_z²)

Unit vector: â = vector a / |a|

Resultant: R = √(A² + B² + 2AB cos θ)

Time period of projectile motion (T): 2u sin θ / g

Maximum height (H): u² sin² θ / 2g

Range (R): u² sin 2θ / g

Uniform Circular Motion (UCM)

• Centripetal acceleration (a_c): v² / r
• Angular velocity (ω): θ / t

Relation between linear velocity and angular velocity: v = rω

Gravitation

The Universal Law of Gravitation: Masses attract each other with a force proportional to their masses and inversely proportional to the square of the distance between them.

Force (F): G m₁m₂ / r²

Gravity at height (g_h): g_h = g_s / (1 + h/r)² or g_h = g_s(1 - 2h/r) if h < 300 km

Gravity at depth (g_d): g_d = g_s(1 - d/R)

Escape

Allegra Byron's Early Life in Venice

Allegra Byron lived with her father, Lord Byron, in a large house called the Palazzo Mocenigo. However, Lord Byron eventually realized that it was not a suitable home for a child. He entrusted Allegra to an English family in Venice. Allegra stayed in Venice for eight months with different families. When Allegra was four years old, Byron sent her to a convent school near Ravenna. Allegra was often cold and lonely there.

Grammar Notes

• Prepositions:
  • In for months (e.g., in May)
  • On for days (e.g., on Monday)
  • At for weekends and specific times (e.g., at the weekend, at 7 o'clock)
• Present Simple: After 'go', use the gerund form (-ing) (e.g., go swimming).
• Do/Does: Use 'do' or 'does' + person + verb for questions (e.g.

Founding of the RSS

The Rashtriya Swayamsevak Sangh (RSS) was founded in 1925 by Dr. Keshav Baliram Hedgewar, a physician based in the central Indian city of Nagpur.^[16] As a medical student in Kolkata, Hedgewar participated in the revolutionary activities of the Anushilan Samiti and Jugantar, both striving to liberate India from British rule. In 1921, he was charged with sedition by the British administration and served a one-year prison sentence.

Early Life and Revolutionary Influences

Educated by his elder brother, Hedgewar moved to Calcutta, West Bengal, in 1910 to pursue medical studies at the behest of Dr. B. S. Moonje. During his time there, he lived with Shyam Sundar Chakravarthy^[19] and mastered combat techniques from secret revolutionary... Continue reading "Origins and History of the Rashtriya Swayamsevak Sangh" »

Common Characteristics of Machines

• Involve a kind of motion.
• Involve a kind of force.
• Make a job easier to do.
• Need some kind of input to make them work.
• Produce some kind of output.

Basic Types of Motion

• Rotary: Going round and round.
• Oscillating: Swinging backwards and forwards.
• Linear: In a straight line.
• Reciprocating: Backwards and forwards in a straight line.

A machine is a device that helps make work easier to perform.

Mechanical Advantage Defined

Mechanical Advantage: When a machine takes a small input force and increases the magnitude of the output force, a mechanical advantage has been produced.

Conservation of Energy Principle

Conservation of Energy: No machine can produce more work than the amount of work that is put into the machine.

The Six Simple

Concept of Active and Passive Voice

We focus the action of the verb in the subject (active voice) or object (passive).

Examples:

• Active Voice: The porter carries the bags. (The porter carries the bags.)
• Passive Voice: The bags are carried by the porter. (The bags are carried by the porter.)

Grammar Rules

The passive voice is formed using the verb to be + the main verb's past participle.

Table of Verbal Changes: Active to Passive Voice Transformation

Considering the points above, this scheme shows the changes to the tense when transforming an active sentence into a passive sentence. We use the example: to write a letter.

Verb forms for 'to write': write (present) / wrote (past) / written (past participle).

The Global Village: Unity and Disparity

The world has become one big market, but this globalization has not led to the disappearance of differences between the countries of the world. Economic realities highlight stark contrasts:

• Rich countries are dominated by the consumer society and economic welfare.
• Poor countries are subject to the consequences of their poverty, including famine and disease.

Negative consequences of technology and economic globalization include people and cultures becoming less differentiated, leading to the rise of cultural hybrids.

The United Nations: Defender of Rights

The UN is an important defender of human and national rights, but this organization has limited power because real decisions are often taken by a powerful... Continue reading "Global Dynamics: Conflict, Cooperation, and the United Nations" »

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)