Interactive Lessons
Clear explanations and practical examples to help you understand key concepts.
Mathematics
Algebra: Solving Linear Equations
A linear equation is an equation where the highest power of the variable is 1.
Example: Solve for x: 3x + 5 = 20
Step 1: Subtract 5 from both sides → 3x = 15
Step 2: Divide both sides by 3 → x = 5
Answer: x = 5
Key Tip: Always perform the same operation on both sides of the equation to keep it balanced.
Geometry: Area of a Circle
The area of a circle is calculated using the formula: A = πr²
Example: Find the area of a circle with radius 4 cm
A = π × r²
A = 3.14 × 4²
A = 3.14 × 16
Answer: A ≈ 50.24 cm²
Remember: π (pi) is approximately 3.14 or 22/7
Science
Biology: Photosynthesis
Photosynthesis is the process by which plants make their own food using sunlight.
Chemical Equation:
6CO₂ + 6H₂O + Light Energy → C₆H₁₂O₆ + 6O₂
(Carbon dioxide + Water + Light → Glucose + Oxygen)
Key Points:
- Takes place in chloroplasts (green parts of plants)
- Chlorophyll absorbs light energy
- Produces glucose (food) and oxygen (released into air)
- Essential for life on Earth—provides oxygen we breathe
Physics: Newton's Second Law of Motion
Force equals mass times acceleration: F = ma
Example: Calculate the force needed to accelerate a 10 kg object at 5 m/s²
F = m × a
F = 10 kg × 5 m/s²
Answer: F = 50 Newtons (N)
Real-world application: This explains why it's harder to push a heavy car than a light bicycle!
English Language Arts
Writing: The Five-Paragraph Essay
A structured format for organizing your ideas clearly and effectively.
1. Introduction
Hook + Background + Thesis Statement
2-4. Body Paragraphs (3 paragraphs)
Topic Sentence + Evidence + Explanation + Transition
5. Conclusion
Restate Thesis + Summarize Points + Final Thought
Grammar: Subject-Verb Agreement
The subject and verb in a sentence must agree in number (singular or plural).
✓ Correct: The student writes an essay. (singular)
✓ Correct: The students write essays. (plural)
✗ Incorrect: The student write an essay.
✗ Incorrect: The students writes essays.
Social Studies
History: Cause and Effect Analysis
Understanding how events are connected helps you analyze historical developments.
Example: The Industrial Revolution
Causes:
- New inventions (steam engine, spinning jenny)
- Available natural resources (coal, iron)
- Growing population providing workers
Effects:
- Rapid urbanization (people moved to cities)
- Factory system replaced home-based production
- Improved transportation and communication
- Social changes (new working class, labor movements)
Geography: Reading Maps
Maps use symbols and features to represent real-world locations.
Key Map Elements:
- Title: Tells you what the map shows
- Legend/Key: Explains symbols and colors
- Scale: Shows distance relationships
- Compass Rose: Indicates directions (N, S, E, W)
- Latitude/Longitude: Grid system for precise locations
📖 How to Use These Lessons
- ✓ Read through each lesson carefully
- ✓ Work through the examples step-by-step
- ✓ Try creating your own similar problems
- ✓ Review lessons before tests and exams
- ✓ Ask your teacher if you need clarification
- ✓ Practice regularly to reinforce understanding