Skip Navigation Medical Math Printable Version (pdf) Course Introduction

Core Standards of the Course

Strand 1
Uses of Mathematics in Healthcare

Standard 1
Analyze the use of medical mathematics in the healthcare system

Strand 2
Common Mathematical Operations as used in Real World Health Care

Standard 1
Compute fluently and make reasonable estimates.

1. Evaluate and simplify numerical expressions containing real numbers using the order of operations.
2. Compute solutions to problems and determine the reasonableness of an answer by relating them to the problem.
3. Whole Numbers
• Supplies and inventories
• Intake and output
• Cholesterol
• Quantities
• Nutrition
• Vital signs labs
• Lever systems

Standard 2
Represent real numbers in a variety of ways.

1. Choose appropriate and convenient forms of real numbers for solving problems and representing answers, e.g., decimal, fraction, or percent.
2. Decimals
• Tools, instruments
• Nutrition
• Weights
• Estimation
• Temperature
• EKG’s
• Medications
• Labs

Standard 3
Identify relationships among real numbers and operations involving these numbers.

1. Fractions
• Tools, instruments
• Weights
• Estimation
• EKG’s
• Medications
• Labs
• Conversions (F, C)

Standard 4
Calculate percentages

1. Percents
• Solutions
• Labs
• Growth Charts
• Medications
• Target heart rate
• Stroke volume
• Cardiac output
• Blood loss
• Body surface area, burns
• Oxygen

Strand 3
Ratios and Proportions

Standard 1
Evaluate, solve, and analyze mathematical situations, using algebraic properties and symbols.

1. Solve proportions that include algebraic first-degree expressions.
2. Nutrition

Standard 2
Use ratios to compare data.

1. Labs

Standard 3
Medications

Standard 4
Diseases

Strand 4
Gathering Data (Use of Medical Instruments)

Standard 1
Use patterns, relations, and functions to represent mathematical situations.

1. Conversions
• Metric units
• Time (12/24 hour)
• Roman numerals (Arabic/Roman)
• Temp (C/F)
• Apothecary

Standard 2
Represent quantitative relationships using mathematical models and symbols.

1. Find and interpret rates of change by analyzing graphical and numerical data.
2. Instruments
• IV, flow rates
• Macro/micro drops (tubing)
• Syringes
• Rulers, tape measures
• Scales
• Goniometry, ROM
• Centrifuges
• Sphygmomanometer gauges
• Pulse oximeters, oxygen flow rates
• Thermometers

Standard 3
Solve problems using visualization, spatial reasoning, and geometric modeling.

Standard 4
Understand measureable attributes of objects and the units, systems, and processes of measurement.

Strand 5
Interpreting Data

Standard 1
Formulate and answer questions by collecting, organizing, and analyzing data.

1. Collect, record, organize, and display a set of data.
2. Determine whether the pattern of the data is linear or nonlinear when given in a list, table, or graph.
3. Interpret the correlation between two variables as positive, negative, or having no correlation.
4. Find a line of best fit by estimation, choosing two points, or using technology for a given set of data.
5. Analyze the meaning of the slope and y-intercept of a line of best fit as it relates to the data.
6. Make predictions based on a line of best fit.
7. Find mean, median, mode, and range for a data set.
8. Analyze the meaning of the maximum or minimum and intercepts of the regression equation as they relate to a given set of bivariate data.
9. Make predictions and estimations and determine their reasonableness using a regression equation.
10. Graphs and charts
• Interpreting charts and graphs
• Temperature, pulse, respirations graphs
• Intake and output charts
• Height, weight, measurement graphics
• Cardiac output
• Medication errors
• Census
• Acuities
• Disease, mortality rates
• Job outlook, projections
• Treatments
• Differential diagnosis
• Health care costs
• Effectiveness (facilities, providers)
• Wellness indicators
• Reliability and validity
• Body mass index
• Statistics
• Epidemiology

Standard 2
Apply basic concepts of probability.

1. Determine and express the probability of an event as a fraction, percent, ratio, or decimal.

Standard 3
Evaluate, solve, and analyze mathematical situations, using algebraic properties and symbols.

1. Solve systems of two linear equations or inequalities
• Numerically; e.g., from a table
• Algebraically
• Graphically
• Using technology

Standard 4
Identify relationships among real numbers and operations involving these numbers.

1. Identify matrices that can be added, subtracted, or multiplied.
2. Demonstrate that matrix multiplication is not commutative.

Strand 6
Math for Medications

Standard 1
Compute fluently and make reasonable estimates.

1. Reading drug labels and prescriptions

Standard 2
Evaluate, solve, and analyze mathematical situations using algebraic properties and symbols.

1. Simplify and evaluate numerical expressions (including integer exponents and square roots), algebraic expressions, formulas, and equations.
2. Using medical reference books to determine if calculated dosages are safe

Standard 3
Represent quantitative relationships using mathematical models and symbols.

1. Dosing

Standard 4
Patient instructions

Strand 7
Medical Accounting and Business

Standard 1
Compute fluently and make reasonable estimates.

1. Numerical filing

Standard 2
Represent real numbers in a variety of ways.

1. Appointment scheduling

Standard 3
Identify relationships among real numbers and operations involving these numbers.

1. Calculating cash transactions

Standard 4
Evaluate, solve, and analyze mathematical situations using algebraic properties and symbols.

1. Maintaining accounts

Standard 5
Checks, deposit slips, and receipts

Standard 6
Paycheck calculation

Standard 7
Budgeting

Standard 8
Depreciation, Amortization

Standard 9
Insurance

Strand 8
Exponents and Logarithms

Standard 1
Evaluate, solve, and analyze mathematical situations using algebraic properties and symbols.

1. Radiation exposure

Standard 2
Determine measurements using appropriate techniques, tools, and formulas.

1. Half life

Standard 3
Use properties of logarithms and exponents to solve equations.

1. pH

Standard 4
Research data http://www.uen.org - in partnership with Utah State Board of Education (USBE) and Utah System of Higher Education (USHE).  Send questions or comments to USBE Specialist - THALEA LONGHURST and see the CTE/Health Science website. For general questions about Utah's Core Standards contact the Director - THALEA LONGHURST.

These materials have been produced by and for the teachers of the State of Utah. Copies of these materials may be freely reproduced for teacher and classroom use. When distributing these materials, credit should be given to Utah State Board of Education. These materials may not be published, in whole or part, or in any other format, without the written permission of the Utah State Board of Education, 250 East 500 South, PO Box 144200, Salt Lake City, Utah 84114-4200.