This Differentiated Algebra in the Medical Field Project focuses on taking measurements and collecting data, re-arranging formulas, solving and graphing linear equations, and systems of equations in the context of real world formulas and equations used in the medical field. This project is a perfect summation to a unit on linear functions and allows students to make interdisciplinary connections between math and health care.
There are 7 Parts:
1) Ambulance Speed
2) Body Mass Index (BMI)
3) Medical Loss Ratio (MLR)
4) Body Surface Area Estimation
5) Healthcare Expenditures
6) Medical Dosages for Children
7) Height Estimation
Allow students to work in pairs, small groups, or individually!
Convert units of measurements within formulas
Solve linear equations of two variables given one variable
Graph linear equations, define and label intervals/scale
Interpret slope and the y-intercept in the context of the situation
Take measurements using a ruler or tape measure
Solve systems of equations by analyzing tables and graphs, as well as algebraically
Make scientific conclusions based on mathematical justifications
This project is differentiated into 2 tiers, which makes it perfect for the inclusive classroom! Both sets have the same exact problems but the easier set has hints. The graphs on the easier set also have intervals already completed on the x and y- axes.
Common Core Standards:
CCSS.MATH.PRACTICE.MP1 Make sense of problems and persevere in solving them.
CCSS.MATH.PRACTICE.MP2 Reason abstractly and quantitatively.
CCSS.MATH.PRACTICE.MP3 Construct viable arguments and critique the reasoning of others
CCSS.MATH.PRACTICE.MP4 Model with mathematics.
CCSS.MATH.PRACTICE.MP5 Use appropriate tools strategically.
CCSS.MATH.PRACTICE.MP6 Attend to precision.
CCSS.HSN. Q.A.1 Use units as a way to understand problems and guide the solution of multi-step problems; choose and interpret units consistently in formulas; choose and interpret the scale and the origin in graphs and data displays.
CCSS.HSA.CED.A.2 Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels ad scales.
CCSS.HSA.CED.A.4 Rearrange formulas to highlight a quantity of interest, using the same reasoning as in solving equations.
CCSS.HSA.REI.B.3 Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters.
CCSS.HSA.REI.C.6 Solve systems of linear equations exactly and approximately (e.g., with graphs), focusing on pairs of linear equations in two variables.
CCSS.HSA.REI.D.10 Understand that the graph of an equation in two variables is the set of all its solutions plotted in the coordinate plane, often forming a curve (which could be a line).
CCSS.HSA.REI.D.11Using graphs, tables, or successive approximations, show that the solutions to the equation f(x)=g(x) is the x-value where the y-values of f(x) and g(x) are the same.
CCSS.HSF.IF.C.7 Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases.
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This topic is also covered in:
Algebra State Exam Prep: Study Guide w/ Notes and 2 Practice Tests
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