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Medical Math
Medical math is essential for accurate medication administration, diagnostic testing, and treatment planning.
Errors in calculations can lead to serious patient harm, emphasizing the importance of accuracy.
Arithmetic
Addition, subtraction, multiplication, and division.
Example: Calculate total fluid intake for a patient
Fractions
Understanding parts of a whole.
Simplifying fractions and converting between mixed numbers and improper fractions.
Example: Administering half a dose of medication (1/2 or 0.5).
Decimals
Place value understanding and rounding.
Converting between fractions and decimals.
Percentages
Calculating percentages for solutions or concentration.
Ratios and Proportions:
Used to express relationships and solve dosage calculations.
Metric System Units of Measurement
Length: Meter (m), centimeter (cm), millimeter (mm).
Volume: Liter (L), milliliter (mL).
Weight: Kilogram (kg), gram (g), milligram (mg), microgram (mcg).
Metric System Conversions:
Length:
1 meter = 100 centimeters = 1000 millimeters.
Volume:
1 liter = 1000 milliliters.
Weight:
1 kilogram = 1000 grams = 1,000,000 milligrams.
Household System Common Units
Teaspoons (tsp), tablespoons (tbsp), cups, pints, quarts.
Household System Conversions
1 teaspoon = 5 milliliters.
1 tablespoon = 15 milliliters.
1 cup = 240 milliliters.
Military Time
24-Hour Clock:
Used in health care to avoid confusion between AM and PM.
Example: 1:00 PM = 1300 hours; 11:00 PM = 2300 hours.
Dosage Formula
D (Desired dose) ÷ H (Dose on hand) × Q (Quantity of dose form) = Amount to administer.
Pediatric Dosages:
Often calculated based on weight.
IV Flow Rates:
Formula: Volume (mL) ÷ Time (minutes) × Drop Factor (gtt/mL) = Flow Rate (gtt/min).
Medication Administration:
Ensure correct calculations for oral, intravenous, and intramuscular medications.
Patient Monitoring:
Calculate and interpret fluid intake and output.
Diagnostic Testing:
Use appropriate units and calculations for lab results and imaging studies.
Safety in Health Care
Safety in health care ensures the protection of patients, staff, and visitors.
Adherence to safety protocols reduces accidents, injuries, and exposure to hazards.
Body Mechanics
Body mechanics involves the coordinated use of muscles, bones, and joints to perform movements efficiently and safely.
Key Principles of Body Mechanics
Maintain a broad base of support: Feet shoulder-width apart.
Bend from the hips and knees, not the waist.
Use the strongest muscles (legs) for lifting.
Hold objects close to the body.
Avoid twisting the spine; turn the entire body instead.
Push or pull objects rather than lift them when possible.
Benefits of Body Mechanics
Prevents musculoskeletal injuries.
Reduces fatigue and strain.
Ensures patient and worker safety.
Preventing Environmental Accidents
Keep hallways and work areas free of clutter.
Use wet floor signs to warn of slippery surfaces.
Ensure adequate lighting in all areas.
Handling Equipment:
Regularly inspect and maintain medical devices.
Follow manufacturer guidelines for safe use.
Report malfunctioning equipment immediately.
Patient Safety:
Verify patient identity before procedures or medication administration.
Ensure proper use of side rails, restraints, and call lights.
Standard Precautions for Infection Control
Assume all blood and bodily fluids are infectious.
Use personal protective equipment (PPE) such as gloves, masks, and gowns.
Hand Hygiene:
Wash hands for at least 20 seconds with soap and water.
Use alcohol-based hand sanitizer if soap and water are unavailable.
Material Safety Data Sheets (MSDS):
Provide detailed information about chemicals used in the workplace.
Include instructions for handling, storage, and first aid.
Disposal of Hazardous Waste:
Follow regulations for segregating and disposing of infectious waste, sharps, and chemicals.
Use puncture-resistant containers for needles and other sharps.
Disaster Plans:
Familiarize yourself with facility-specific protocols for natural disasters, chemical spills, and mass casualty events.
Participate in regular emergency drills.
Evacuation Procedures:
Assist patients with mobility limitations first.
Follow designated evacuation routes and assembly points
First Aid Training:
Learn basic first aid and CPR techniques to respond effectively in emergencies.
Workplace Violence Prevention
Workplace violence includes physical assaults, verbal abuse, and threatening behavior.
Role of OSHA:
Establishes and enforces safety standards in the workplace.
Conducts inspections to ensure compliance.
Employer Responsibilities:
Provide safety training and equipment to employees.
Maintain a safe and hazard-free work environment.
Employee Rights:
Access to information about workplace hazards.
Right to report unsafe conditions without fear of retaliation.
Infection Control
Infection control involves practices and procedures to prevent the spread of infections in health care settings.
Protects patients, health care workers, and the community.
Microorganisms
Small living organisms that are invisible to the naked eye.
Found everywhere, including on and inside the human body.
Types of Microorganisms:
Bacteria, viruses, fungi, protozoa, helminths
Bacteria
Single-celled organisms.
Can be beneficial (gut flora) or pathogenic (cause diseases like strep throat).
Viruses
Smallest microorganisms.
Require a host to reproduce.
Fungi
Plant-like organisms.
Cause conditions like athlete’s foot and yeast infections.
Protozoa
Single-celled animals found in contaminated water.
Helminths:
Parasitic worms.
Chain of Infection
Infectious Agent, Reservoir, Portal of exit, mode of transmission, portal of entry, susceptible host
Infectious Agent
Pathogen causing the disease.
Reservoir
Place where the pathogen lives (e.g., humans, animals, surfaces)
Portal of Exit
Path by which the pathogen leaves the reservoir (e.g., respiratory droplets, blood).
Mode of Transmission
How the pathogen spreads
Portal of Entry
Path by which the pathogen enters a new host
Susceptible Host
Individual at risk of infection.
Breaking the Chain of Infection
Hand hygiene, sterilization, proper disposal of waste, and vaccinations.
Aseptic Techniques
Methods used to maintain cleanliness and prevent contamination.
Personal Protective Equipment (PPE):
Gloves, masks, eye protection, and gowns.
Use PPE as required by the task and level of exposure.
Hand Hygiene:
Wash hands with soap and water for at least 20 seconds.
Use hand sanitizer if hands are not visibly soiled.
Airborne Precautions:
Used for diseases spread through the air (e.g., tuberculosis, measles).
Patients placed in negative pressure rooms.
Health care workers wear N95 respirators.
Droplet Precautions:
Used for diseases spread by large droplets (e.g., influenza, pertussis).
Masks required for close contact.
Contact Precautions:
Used for diseases spread by direct or indirect contact (e.g., MRSA, C. difficile).
Gloves and gowns required.
Sterilization
Destroys all microorganisms, including spores.
Methods include autoclaving and chemical sterilants.
Disinfection:
Eliminates most pathogens but not all spores.
Common disinfectants include bleach and alcohol-based solutions.
Antiseptics:
Applied to living tissues to reduce microbial growth (e.g., iodine, alcohol wipes).
Bloodborne Pathogens
Examples:
Hepatitis B (HBV), Hepatitis C (HCV), and Human Immunodeficiency Virus (HIV).
Prevention:
Follow standard precautions.
Dispose of sharps in puncture-resistant containers.
Use gloves when handling bodily fluids.
Biohazard Disposal:
Use labeled containers for contaminated materials.
Separate infectious waste from general waste.
Sharps Disposal:
Place needles and other sharp objects in designated sharps containers.
Do not overfill containers to avoid injuries.
Vital Signs
Vital signs are critical indicators of a patient’s health status.
They include temperature, pulse, respiration, and blood pressure.
Pain is often considered the "fifth vital sign."
Temperature
Measures the balance between heat produced and heat lost by the body.
Normal Ranges of Temperature
Oral: 97.6°F - 99.6°F (36.5°C - 37.5°C).
Rectal: 98.6°F - 100.6°F (37°C - 38.1°C).
Axillary: 96.6°F - 98.6°F (35.9°C - 37°C).
Tympanic: Similar to oral.
Temporal: 97.2°F - 100.1°F (36.2°C - 37.8°C).
Methods of Temperature Measurement
Oral, rectal, axillary, tympanic (ear), and temporal (forehead).
Rectal is the most accurate; axillary is the least accurate.
Factors Affecting Temperature:
Age, environment, activity level, time of day, and illness.
Abnormal Temperatures:
Hypothermia: Below 95°F (35°C).
Hyperthermia/Fever: Above 100.4°F (38°C).
Pulse
The pressure of the blood against the walls of an artery as the heart beats.
Common Pulse Sites:
Radial: Wrist.
Carotid: Neck.
Brachial: Inside the elbow.
Apical: Over the heart, using a stethoscope.
Normal Pulse Ranges:
Adults: 60-100 beats per minute (bpm).
Children: 70-120 bpm.
Infants: 100-160 bpm.
Characteristics of Pulse:
Rate: Number of beats per minute.
Rhythm: Regularity of beats (regular or irregular).
Volume: Strength of the pulse (strong, weak, thready).
Abnormalities:
Tachycardia: Pulse over 100 bpm.
Bradycardia: Pulse under 60 bpm.
Respirations
The process of taking in oxygen and expelling carbon dioxide.
Normal Respiration Ranges:
Adults: 12-20 breaths per minute.
Children: 16-30 breaths per minute.
Infants: 30-50 breaths per minute.
Characteristics of Respirations:
Rate: Number of breaths per minute.
Rhythm: Regularity of breaths (regular or irregular).
Depth: Volume of air exchanged (shallow or deep).
Respiratory Abnormalities:
Dyspnea: Difficult breathing.
Apnea: Absence of breathing.
Tachypnea: Rapid breathing (>20 breaths per minute).
Bradypnea: Slow breathing (<12 breaths per minute).
Blood Pressure
The force of blood against the walls of the arteries during heart activity.
Components of BP
Systolic Pressure: Pressure during heart contraction (top number).
Diastolic Pressure: Pressure during heart relaxation (bottom number)
Normal BP Ranges:
Systolic: 90-120 mmHg.
Diastolic: 60-80 mmHg.
Normal: 120/80 mmHg.
Abnormal Blood Pressure:
Hypertension: High blood pressure (140/90 mmHg or above).
Hypotension: Low blood pressure (below 90/60 mmHg).
Measuring Blood Pressure:
Use a sphygmomanometer and stethoscope.
Ensure the patient is seated or lying down with the arm at heart level.
Assessing pain
Numeric pain scale (0-10).
Wong-Baker FACES scale for nonverbal patients.
Pain Characteristics:
Location, intensity, duration, and type (sharp, dull, burning).
Importance of pain as a vital sign
Provides insight into the patient’s condition and guides treatment.
Documentation of Vital Signs
Record values accurately and immediately.
Note any abnormalities and report to the supervising health care professional.
Age affecting vitals
Younger individuals tend to have higher pulse and respiration rates.
Activity levels affecting vitals
Exercise increases heart rate and respiratory rate temporarily.
Medications affecting vitals
Some drugs can elevate or depress vital signs.
Environment affecting vitals
Hot or cold surroundings affect body temperature and respiratory rate.