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1Formulas and methods
Pediatric nursing
Method
Note the child’s age first: it sets the normal vital signs, the milestones and the right pain scale.
Assess airway, breathing and circulation, remembering that children compensate and then deteriorate fast.
Match the action to the development stage and involve the family.
Check that the answer is safe for a child: weight-based, no aspirin in viral illness, no codeine under 12.
Pediatric & critical-care dosing
Daily dose
mg/day = mg/kg/day × weight (kg)
Doses per day
number = 24 h / dosing interval (h)
Pounds to kilograms
kg = lb / 2.2
Infusion concentration
units/mL = units in bag / bag volume
Pump rate
mL/h = dose per hour / concentration
Titrated drip
mL/h = mcg/kg/min × kg × 60 / (mcg/mL)
Dose from pump rate
mcg/kg/min = mL/h × (mcg/mL) / (60 × kg)
Units
1 mg = 1000 mcg
IV fluids & fluid balance
Holliday–Segar per hour
4 mL/kg (first 10 kg) + 2 mL/kg (next 10 kg) + 1 mL/kg (each kg above 20)
Holliday–Segar per day
100 / 50 / 20 mL/kg for the same bands
Fluid balance
intake − output
Ice chips
count as half their volume
Urine output
mL/kg/h = mL / (kg × h)
Infusion time
time (h) = volume left (mL) / rate (mL/h)
Volume infused
mL = rate × time
2Practice problems
1.Pediatric nursingMedium
A 13-year-old with scoliosis has been prescribed a brace. Which teaching is most important?
AWear it only when the back hurts, then take it off
BWear it only at weekends and in the holidays, when it does not interfere with school
CWear it over thick clothing to make it more comfortable
DWear it for the prescribed hours each day, with a thin cotton shirt underneath
2.Pediatric nursingHard
A 9-year-old with Down syndrome has new neck pain, clumsy walking and changes in bladder control. What should the nurse suspect?
AAtlantoaxial instability with spinal cord compression
BThe normal low muscle tone of Down syndrome getting worse with age
CA simple urinary infection causing tiredness
DGrowing pains in the legs
3.Pediatric & critical-care dosingMedium
Practice exercise (made-up values, not clinical guidance). A practice protocol calls for a heparin bolus of 60 units/kg for a patient who weighs 69 kg. The vial contains 1 000 units/mL. What volume V do you draw up? Round to one decimal place.
60 units/kg69 kg1 000 units/mL
V = mL
4.Pediatric & critical-care dosingHard
Practice exercise (made-up values, not clinical guidance). A dobutamine infusion of 500 mg in 250 mL runs at 10 mL/h. The patient weighs 93 kg. What dose D in mcg/kg/min is the patient receiving? Round to one decimal place.
500 mg/250 mL10 mL/h93 kg
D = mcg/kg/min
5.IV fluids & fluid balanceMedium
Practice exercise (made-up values, not clinical guidance). The record shows a patient's intake and output for one 8-hour shift. The IV infusion ran at the rate shown for the whole shift. Find the total intake I in mL.
soup: 200 mLwater: 240 mLIV infusion: 80 mL/h × 8 hIV antibiotic: 1 × 100 mL
I = mL
6.IV fluids & fluid balanceHard
Practice exercise (made-up values, not clinical guidance). A 500 mL bag runs by pump at 150 mL/h. At 15:30, 250 mL have already been infused. How many hours t until the bag is empty? Round to one decimal place.
500 mL250 mL infused150 mL/h
t = h
3Solutions
1.Pediatric nursing
Answer: D · Wear it for the prescribed hours each day, with a thin cotton shirt underneath
Why this is the answer
A brace can slow curve progression during growth only if it is worn for the prescribed time, often most of the day and night. A thin, seamless cotton layer protects the skin, which is checked daily for redness.
Answer
D · Wear it for the prescribed hours each day, with a thin cotton shirt underneath
2.Pediatric nursing
Answer: A · Atlantoaxial instability with spinal cord compression
Why this is the answer
Children with Down syndrome can have instability between the first two cervical vertebrae. Neck pain, changes in gait, weakness and bladder or bowel changes suggest cord compression and need urgent assessment.
Answer
A · Atlantoaxial instability with spinal cord compression
3.Pediatric & critical-care dosing
Answer: V = 4.1 mL
Heparin and insulin infusions: concentration = units in the bag/bag volume (units/mL). Pump rate (mL/h) = units per hour/concentration, and units per hour = mL/h × concentration. For a weight-based order, units/h = units/kg/h × weight first. A bolus volume = units needed/vial strength. The numbers are for practice only; at the bedside always follow local protocols and have high-risk doses double-checked.
Units needed
60·69 = 4 140 units
Volume
V = 4140/1000 = 4.14 ≈ 4.1 mL
Answer
V = 4.1 mL
4.Pediatric & critical-care dosing
Answer: D = 3.6 mcg/kg/min
Titrated drips: first find the concentration in mcg/mL (mg × 1000/mL). For a weight-based order, mcg/min = mcg/kg/min × weight. Then mL/h = mcg/min × 60/concentration. Working backwards, mcg/kg/min = mL/h × concentration/(60 × weight). The numbers are for practice only; at the bedside always follow local protocols and have high-risk doses double-checked.
Concentration
500 000/250 = 2000 mcg/mL
Micrograms per minute
10·2000 = 20000 mcg/h
20000/60 = 333.3 mcg/min
Per kilogram
D = 333.3/93 = 3.584 ≈ 3.6 mcg/kg/min
Answer
D = 3.6 mcg/kg/min
5.IV fluids & fluid balance
Answer: I = 1180 mL
Intake and output: intake counts everything that goes in (oral fluids, IV infusions, IV medications and flushes, tube feeds); ice chips count as half their volume. Output counts urine, drains, vomit and other losses. Balance = total intake − total output; a negative balance is a net loss. The numbers are for practice only; at the bedside always follow local protocols and have high-risk doses double-checked.
Add the intake
oral: 200 + 240 = 440 mL
IV infusion: 80·8 = 640 mL
IV antibiotic: 1·100 = 100 mL
I = 1180 mL
Answer
I = 1180 mL
6.IV fluids & fluid balance
Answer: t = 1.7 h
Infusion time: time (h) = volume to infuse (mL)/rate (mL/h); use the volume still left in the bag, not the bag size. Volume infused = rate × time. Convert decimal hours to hours and minutes with the fraction × 60 (0.5 h = 30 min, not 50 min). The numbers are for practice only; at the bedside always follow local protocols and have high-risk doses double-checked.
Volume left
500 − 250 = 250 mL
Time
t = 250/150 = 1.667 ≈ 1.7 h
Answer
t = 1.7 h
That is about 1 h 40 min, so the bag runs out at about 17:10.