Mathematics for Nursing Course

Lesson 1 • Percentages and Ratios

Explains conversion among percentages, decimals, and fractions, plus ratio notation. These forms appear on drug labels and solution concentration labels.

Lesson 2 • Fractions in Clinical Contexts

Covers simplifying, comparing, and operating on fractions. Connects fractional reasoning to medication strengths and partial-dose scenarios.

Lesson 3 • Self-Assessment and Error Prevention

Introduces systematic self-checking habits and common arithmetic error patterns. Builds a safety mindset that underpins all clinical calculation practice.

Lesson 4 • Decimals and Precision

Teaches decimal notation, rounding rules, and arithmetic with decimals. Precision with decimals directly prevents dosing errors in clinical practice.

Lesson 1 • Household and Apothecary Measures

Introduces household volume and weight units and residual apothecary symbols. Nurses encounter these on older orders and patient-reported home dosing.

Lesson 2 • Converting Between Measurement Systems

Applies equivalency tables and proportion methods to cross-system conversions. Accurate conversion prevents errors when orders and available forms differ.

Lesson 3 • The Metric System in Healthcare

Covers metric prefixes, base units, and their clinical applications. Metric fluency is essential because most medications are ordered in metric units.

Lesson 1 • Interpreting Drug Labels

Teaches how to extract concentration, form, lot number, and expiration data from labels. Label literacy is the first verification step in the five rights of drug administration.

Lesson 2 • Verifying Orders Before Calculation

Establishes a pre-calculation verification protocol including allergy checks and order clarity. Verification before maths prevents errors from propagating into administration.

Lesson 3 • Abbreviations and Medical Notation

Reviews approved and error-prone abbreviations used in orders and documentation. Recognising dangerous abbreviations reduces transcription and administration errors.

Lesson 1 • Oral Liquid Medication Calculations

Extends calculation methods to suspensions, elixirs, and syrups measured in millilitres. Accurate liquid dosing is especially critical in paediatric and geriatric populations.

Lesson 2 • Oral Solid Medication Calculations

Applies all three methods to tablets, capsules, and scored tablets. Students determine the number of units to administer and recognise when splitting is appropriate.

Lesson 3 • Dimensional Analysis Method

Covers unit-factor chaining to cancel unwanted units and arrive at the desired unit. Dimensional analysis reduces errors in multi-step conversions within a single setup.

Lesson 4 • Ratio-Proportion Method

Teaches setting up and solving proportions to find the required dose. This method reinforces the relationship between known drug concentration and ordered dose.

Lesson 1 • Syringe Selection and Reading

Covers standard, tuberculin, and insulin syringe calibrations and correct reading technique. Selecting the right syringe minimises measurement error for small-volume injections.

Lesson 2 • Reconstitution of Powdered Medications

Teaches diluent selection, reconstitution steps, and resulting concentration calculation. Correct reconstitution is required before any dose calculation can proceed.

Lesson 3 • Insulin Dosage Calculations

Addresses insulin types, concentration (U-100, U-500), and unit-based dosing. Insulin errors are among the most dangerous medication errors in clinical practice.

Lesson 4 • Heparin Dosage Calculations

Covers subcutaneous and IV heparin dosing, including weight-based protocols. Heparin's narrow therapeutic range demands precise calculation and double-checking.

Lesson 1 • IV Fluid Orders and Terminology

Defines IV fluid types, tonicity, and common order formats. Understanding order terminology is prerequisite to selecting the correct calculation approach.

Lesson 2 • Secondary and Intermittent IV Infusions

Covers piggyback (IVPB) setup, flow rate calculation, and interaction with primary lines. Correct IVPB rates ensure therapeutic drug levels without disrupting primary fluid delivery.

Lesson 3 • Infusion Time and Volume Calculations

Determines total infusion time from volume and rate, and calculates volume infused over a period. These calculations support shift handoff and fluid balance documentation.

Lesson 4 • Gravity Drip Rate Calculations

Calculates drops per minute using drop factor for macro- and microdrip tubing. Gravity infusions require manual counting and periodic rechecking of the drip rate.

Lesson 1 • High-Alert Medication Safeguards

Addresses independent double-check procedures, smart pump library use, and error reporting. Safeguards are compulsory for drugs where errors cause serious or fatal harm.

Lesson 2 • Titrated Infusion Management

Covers titration protocols: incrementally adjusting rates based on patient response parameters. Titration requires calculating new rates quickly and documenting each change.

Lesson 3 • Concentration and Dosing Units in Critical Care

Introduces mcg/kg/min, units/hr, and mg/hr dosing expressions used in ICU settings. Fluency with these units is prerequisite to all critical care infusion calculations.

Lesson 4 • Common Critical Care Drug Calculations

Applies all methods to vasopressors, antiarrhythmics, and sedation infusions in practice scenarios. Repeated practise with realistic scenarios builds speed and accuracy under pressure.

Lesson 1 • Paediatric IV Fluid Calculations

Calculates maintenance fluid requirements using weight-based formulas and adjusts for clinical status. Fluid overload and dehydration carry serious risks in paediatric patients.

Lesson 2 • Paediatric Dosing Principles

Covers weight-based dosing in mg/kg and the importance of verifying against safe dose ranges. Paediatric patients cannot tolerate adult doses; range verification is non-negotiable.

Lesson 3 • Body Surface Area Dosing

Teaches BSA calculation using nomograms and formulas, then applies BSA to dose determination. BSA-based dosing is standard for chemotherapy and certain high-risk paediatric drugs.

Lesson 4 • Obstetric Medication Calculations

Covers oxytocin, magnesium sulfate, and tocolytic infusion calculations in obstetric care. These drugs have narrow therapeutic windows and require precise weight-based or protocol-based dosing.