Health: The Ultimate Treasure – Formula & Equation Sheet
Essential formulas and equations from Curiosity, tailored for Class 8 in Science.
This one-pager compiles key formulas and equations from the Health: The Ultimate Treasure chapter of Curiosity. Ideal for exam prep, quick reference, and solving time-bound numerical problems accurately.
Key concepts & formulas
Essential formulas, key terms, and important concepts for quick reference and revision.
Formulas
WHO Definition of Health: Health = Complete physical + Mental + Social well-being
This formula signifies that health is not just about the absence of diseases but encapsulates overall well-being in multiple dimensions.
BMI = weight (kg) / (height (m))²
Body Mass Index (BMI) helps assess whether a person has a healthy body weight for their height. Used in health assessments.
AQI = (PM2.5 concentration + PM10 concentration + NO2 concentration) / Total particles
The Air Quality Index (AQI) quantifies air pollution levels. A higher AQI indicates poorer air quality affecting respiratory health.
Nutritional Value = Energy (kcal) + Proteins (g) + Carbohydrates (g) + Fats (g)
This formulation gives an overview of the nutritional content within food, critical for a balanced diet.
Calories Burned = Duration (min) × MET × Weight (kg)
This formula calculates calories burned during an activity using Metabolic Equivalent of Task (MET). Useful for estimating exercise impact.
Hydration Rule: 8 × 8 rule (8 cups of water = 2 liters)
Reminds to drink 8 cups (2 liters) of water daily for hydration, which is essential for overall health.
Screen Time Limit: ≤ 2 hours per day
A guideline suggesting that limiting screen time to 2 hours per day can help maintain good mental and physical health.
Hearts Beat per Minute (BPM) = 220 - Age
This equation provides a rough estimate of the maximum heart rate during exercise, aiding exercise prescription.
Cholesterol Levels = LDL + HDL + Triglycerides
Total cholesterol level is used to evaluate heart health risks. Monitoring is crucial for preventing heart diseases.
Immunity = Vaccinations + Healthy lifestyle + Nutrition
Provides a conceptual formula highlighting the components that contribute to building immunity against diseases.
Equations
Incidence Rate = (New Cases / Population at Risk) × 1000
Measures how many new cases of a disease occur within a defined population over a specific time period.
Prevalence Rate = (Total Cases / Total Population) × 100
Reflects how widespread a disease is within a population at a specific time.
Risk Ratio = Incidence of Disease in Exposed / Incidence of Disease in Non-exposed
Indicates the risk of developing a disease based on exposure to a particular risk factor.
Mortality Rate = (Deaths / Population) × 1000
Statistically measures the frequency of death in a population and can help in understanding disease severity.
Vaccine Efficacy = [(Incidence in Unvaccinated - Incidence in Vaccinated) / Incidence in Unvaccinated] × 100
Represents the percentage reduction of disease in a vaccinated group compared to an unvaccinated group.
R0 = β / (γ + μ)
Basic reproduction number (R0) determines potential disease spread, where β is the transmission rate and γ/μ are recovery and death rates.
Therapeutic Index = TD50 / ED50
This measures the safety of a drug, where TD50 is the toxic dose and ED50 is the effective dose.
Weber-Fechner Law: ΔI / I = k
This law relates to sensation; suggests perceived change in a stimulus (ΔI) is proportional to the original stimulus (I), useful in understanding sensory health.
Newton's Second Law (for Health): F = ma
In the context of health, it can represent how forceful changes in lifestyle (F) effect body mass (m) and activity (a) towards resulting health states.
Essential Nutrients Calculation: = Proteins + Carbs + Fats + Vitamins + Minerals
A formula to evaluate the nutritional balance of a diet, affirming the importance of all nutrients for health.
