The Math-in-CTE professional development model is not a curriculum; instead, it is a process, organized around a set of five core principles (PDF), through which CTE and math teachers working in teams learn how to enhance the math that naturally occurs in their CTE curricula. Math-in CTE professional development always begins with *curriculum mapping*. In this process, CTE teachers examine the CTE concepts they teach, then work with math teacher partners to identify embedded math intersections, as linked to the Common Core math standards, and create a curriculum map. Once the map is complete, the CTE and math teacher teams select from within it one or more CTE concepts and related math concepts to develop into CTE lesson plans.

This sample Math-in-CTE curriculum map was created by teacher teams composed of STEM and math teachers from Utah. The associated sample lesson plan and related materials were identified and developed from this curriculum map.

Click on the linked CTE and math concepts within this map to view the lesson plan associated with them. Scroll to the right to view the middle and high school Common Core math standards associated with each unit.

## Science, Technology, Engineering, and Mathematics

CTE Course/Unit | CTE Concepts or Applications | Embedded Math Concepts | Middle School Common Core Math Standards | High School Common Core Math Standards |
---|---|---|---|---|

Energy | Electricity (Ohms law); Using ohmmeters and amp meters; Parallel circuits; Potential and kinetic; W=VA; Energy, mass, and weight; F=ma (Newtonâ€™s second law); Action and reaction; Energy transformation; Energy conservation | Rational expressions; Formulas; Measurement; Vectors; Fractions, ratios, and percentages; Exponents; Equations; Variables; Graphing variables | 6.NS.2; 6.NS.3; 7.NS.1; 7.EE.3; 6.EE.2; 7.EE.1; 7.EE.2; 6.NS.1; 7.NS.2; 7.NS.3; 6.RP.2; 6.RP.3; 7.EE.2; 6.RP.1; 7.RP.1; 7.RP.2; 7.RP.3; 6.EE.1; 8.EE.1; 8.EE.2; 8.EE.3 | A.APR.1; A.APR.7; N.RN.3; N.Q.1; A.REI.1; A.REI.2; N.VM.3; N.VM.4; N.VM.5; N.Q.1; N.Q.2; G.MG.3; F.BF.5; S.ID.6; F.LE.2; F.LE.3 |

Work | Pulley systems; Cranes; Trebuchets; Ramps; Levels; Engines/horsepower calculations | Formulas; Right triangle; Trigonometry; Ratios and proportions; Percentages; Vectors; Unit conversion; Graphing | 6.NS.2; 6.NS.3; 7.NS.1; 7.EE.3; 6.EE.2; 7.EE.1; 7.EE.2; 6.RP.2; 6.RP.3; 6.RP.1; 6.RP.2; 6.RP.3; 7.RP.1; 7.RP.2; 7.RP.3; 6.EE.3; 6.SP.4; 6.SP.5; 7.SP.2; 7.SP.3; 7.SP.4; 8.SP.3; 8.SP.4 | A.APR.1; A.APR.7; N.RN.3; N.Q.1; A.REI.1; A.REI.2; N.VM.3; N.VM.4; N.VM.5; N.Q.1; N.Q.2; G.MG.3; G.SRT.6; G.SRT.8; G.SRT.9; G.SRT.10; G.SRT.11; F.TF.3; F.TF.5; F.TF.7; S.IC.1; S.IC.2; S.IC.3; S.IC.4; S.IC.5; S.IC.6; S.ID.1 |

Motion | Determine speed of a spinning fly wheel; Determine velocity of a race car/bullet; Acceleration; Rocket design | Slope; Use of formulas; Unit conversion; Rates; Graphs; Direct and indirect proportionality; Measurement; Manipulating equations; Order of operations; Quadratics; Accumulation of rates | 6.NS.2; 6.NS.3; 7.NS.1; 7.EE.3; 6.EE.2; 7.EE.1; 7.EE.2; 6.RP.1; 6.RP.2; 6.RP.3; 7.RP.1; 7.RP.2; 7.RP.3; 8.G.6; 8.G.7; 8.G.8; 6.EE.2; 6.EE.3; 6.SP.4; 6.SP.5; 7.SP.2; 7.SP.3; 7.SP.4; 8.SP.3; 8.SP.4; 7.EE.3 | A.APR.1; A.APR.7; N.RN.3; N.Q.1; A.REI.1; A.REI.2; G.MG.3; G.SRT.6; G.SRT.8; F.IF.8; S.IC.1; S.IC.2; S.IC.3; S.IC.4; S.IC.5; S.IC.6; S.ID.1; A.CED.4; N.CN.7; A.REI.4; F.LE.1; F.LE.2; F.LE.5; F.IF.7; F.IF.8; S.ID.6; F.BF.1 |

Waves | Reading an oscilloscope; Sound systems; Doppler radar; Optics; EM technology; Lasers; Blu ray; Radio; Cell phone; Microwaves; AC current; Wave interference; Sound cancellation | Exponents ; Scientific notation; Amplitude, frequency and period; Inverse relations; Graphs; Periodic functions; Ratios; Measurement; Imaginary numbers; Angles; Radians and degrees; Formulas | A.APR.1; A.APR.7; N.RN.3; N.Q.1; A.REI.1; A.REI.2; G.MG.3; G.SRT.6; G.SRT.8; F.IF.8; S.IC.1; S.IC.2; S.IC.3; S.IC.4; S.IC.5; S.IC.6; S.ID.1; A.CED.4; N.CN.7; A.REI.4; F.LE.1; F.LE.2; F.LE.5; F.IF.7; F.IF.8; S.ID.6; F.BF.1 | A.APR.1; A.APR.7; N.RN.3; N.Q.1; A.REI.1; A.REI.2; G.MG.3; F.BF.5; S.ID.6; F.LE.2; F.LE.3; S.IC.1; S.IC.2; S.IC.3; S.IC.4; S.IC.5; S.IC.6; S.ID.1 |

Force | Using a spring scale; Torque wrench; Drag car; Rockets; Voltage; Measuring pressure; Collisions; Static electricity-coulombs law; Hydraulics; Pneumatics; Temperature; Gravitational forces; Gear ratios; Gin pole | Using a spring scale; Torque wrench; Drag car; Rockets; Voltage; Measuring pressure; Collisions; Static electricity-coulombs law; Hydraulics; Pneumatics; Temperature; Gravitational forces; Gear ratios; Gin pole | 6.NS.2; 6.NS.3; 7.NS.1; 7.EE.3; 6.EE.2; 7.EE.1; 7.EE.2 6.RP.1; 6.RP.2; 6.RP.3; 7.RP.1; 7.RP.2; 7.RP.3; 6.EE.2; 6.EE.3; 6.SP.4; 6.SP.5; 7.SP.2; 7.SP.3; 7.SP.4; 8.SP.3; 8.SP.4; 8.G.6; 8.G.7; 8.G.8 | A.APR.1; A.APR.7; N.RN.3; N.Q.1; A.REI.1; A.REI.2; N.VM.3; N.VM.4; N.VM.5; N.Q.1; N.Q.2; G.MG.3; S.IC.1; S.IC.2; S.IC.3; S.IC.4; S.IC.5; S.IC.6; S.ID.1; G.SRT.6; G.SRT.8; F.IF.8 |