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 finance and math teachers from Iowa. 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.

## Finance

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

Business structure | Business structures- corporations | Adding, subtracting, and multiplying whole numbers; Reading tables; Rounding; Adding, subtracting, and multiplying decimals | 6.NS.2; 6.NS.3; 7.NS.1; 7.EE.3; 6.NS.5; 7.NS.2; 7.NS.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 | A.APR.1; A.APR.7; N.RN.3; N.Q.1 |

Financial analysis | Salary calculations | Whole number operations; Algebraic formulas | 6.NS.2; 6.NS.3; 7.NS.1; 7.EE.3; 6.EE.2; 7.EE.1; 7.EE.2 | A.APR.1; A.APR.7; N.RN.3; N.Q.1; A.REI.1; A.REI.2 |

Financial analysis | Analyzing basic Accounting equations (A= L+O.E.) | Inverse operation; Solving for variables; Algebraic equations | 6.EE.2; 7.EE.1; 7.EE.2 | A.REI.1; A.REI.2 |

Financial analysis | Cost center analysis | Formulas; Whole numbers; Linear graphs and charts | 6.NS.2; 6.NS.3; 7.NS.1; 7.EE.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; 6.EE.2; 7.EE.1; 7.EE.2 | A.APR.1; A.APR.7; N.RN.3; N.Q.1; A.REI.1; A.REI.2 S.IC.1; S.IC.2; S.IC.3; S.IC.4; S.IC.5; S.IC.6; S.ID.1 |

Financial analysis | Figuring notes and interest | Substituting data into formulas; Percents; Solving equations and decimals; Algebraic equations | 6.NS.2; 6.NS.3; 6.NS.5; 7.NS.1; 7.NS.2; 7.NS.3; 7.EE.3; 6.EE.2; 7.EE.2; 6.EE.6; 6.EE.7; 6.EE.8; 6.EE.9; 7.EE.1; 7.EE.2; 7.EE.4; 8.EE.7; 8.EE.8; 8.F.4 | A.REI.1; A.REI.2 A.CED.1; A.CED.2; A.CED.3; A.CED.4; A.REI.3; A.REI.4; A.REI.10; F.LE.1; F.LE.2; F.LE.5; F.IF.5; A.SSE.1; F.BF.1; S.ID.6 |

Scheduling | PERT diagram (program, evaluation, and review techniques) | Time estimation; Charts and graphs; Arcs, nodes, and networking | 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 | S.IC.1; S.IC.2; S.IC.3; S.IC.4; S.IC.5; S.IC.6; S.ID.1 |

Technology | Excel spreadsheet and pie chart | Percentages; Analyzing and interpreting data | 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; 6.RP.2; 6.RP.3; 7.EE.2; 7.EE.3 | S.IC.1; S.IC.2; S.IC.3; S.IC.4; S.IC.5; S.IC.6; S.ID.1 |

Economic measurement and globalization | Economic decisions | Tables and charts; Basic math operations | 6.NS.2; 6.NS.3; 7.NS.1; 7.EE.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 | A.APR.1; A.APR.7; N.RN.3; N.Q.1; S.IC.1; S.IC.2; S.IC.3; S.IC.4; S.IC.5; S.IC.6; S.ID.1 |

International trade/currency exchange rate | Conversions, exchange rate; Ratio/ proportion; Reading charts and tables; Estimation; Basic math operations | 6.NS.2; 6.NS.3; 7.NS.1; 7.EE.3; 6.RP.1; 6.RP.2; 6.RP.3; 7.RP.1; 7.RP.2; 7.RP.3; 7.EE.3; 6.EE.2; 6.EE.3; 6.SP.4; 6.SP.5; 7.SP.4; 8.SP.3; 8.SP.4 | 6.NS.2; 6.NS.3; 7.NS.1; 7.EE.3; 6.RP.1; 6.RP.2; 6.RP.3; 7.RP.1; 7.RP.2; 7.RP.3; 7.EE.3; 6.EE.2; 6.EE.3; 6.SP.4; 6.SP.5; 7.SP.4; 8.SP.3; 8.SP.4 | |

Finance (profit and loss and budgeting) | Depreciation – double declining | Formulas; Decimals; Percent; Exponential decay; Linear relationships | 6.NS.2; 6.NS.3; 6.NS.5; 7.NS.1; 7.NS.2; 7.NS.3; 7.EE.3; 6.EE.2; 7.EE.1; 7.EE.2; 6.EE.1; 8.EE.1; 8.EE.2; 8.EE.3; 6.EE.6; 6.EE.7; 6.EE.8; 6.EE.9; 7.EE.4; 8.EE.7; 8.EE.8; 8.F.4 | A.REI.1; A.REI.2; F.BF.5; S.ID.6; F.LE.2; F.LE.3; A.CED.1; A.CED.2; A.CED.3; A.CED.4; A.REI.3; A.REI.4; A.REI.10; F.LE.1; F.LE.2; F.LE.5; F.IF.5; A.SSE.1; F.BF.1; S.ID.6 |

Finance (profit and loss and budgeting) | Gross sales margins; Markup calculations | Basic arithmetic; Decimals; Percentages | 6.NS.2; 6.NS.3; 7.NS.1; 7.EE.3; 6.NS.2; 6.NS.3; 6.NS.5; 7.NS.1; 7.NS.2; 7.NS.3; 7.EE.3 | A.APR.1; A.APR.7; N.RN.3; N.Q.1 |

Finance (profit and loss and budgeting) | Incomes/expenses | |||

Finance (profit and loss and budgeting) | Stock gains/losses | Adding/subtracting; Multiplying and dividing; Percents; Fractions; Breakeven points | 6.NS.2; 6.NS.3; 7.NS.1; 7.EE.3; 6.RP.2; 6.RP.3; 7.EE.2; 7.EE.3; 6.NS.1; 6.EE.2; 7.NS.1; 7.NS.2; 7.NS.3; 8.G.6; 8.G.7; 8.G.8 | A.APR.1; A.APR.7; N.RN.3; N.Q.1; G.SRT.6; G.SRT.8; F.IF.8 |

Finance (profit and loss and budgeting) | Franchising fees | Adding/subtracting; Multiplying and dividing; Rational numbers; Calculating with percentages | Adding/subtracting; Multiplying and dividing; Rational numbers; Calculating with percentages 6.NS.2; 6.NS.3; 7.NS.1; 7.EE.3; 6.RP.2; 6.RP.3; 7.EE.2; 7.EE.3 | A.APR.1; A.APR.7; N.RN.3; N.Q.1 |

Business operations | Decision making | Percents; Graphs; Proportions; Probability; Problem solving | 6.RP.2; 6.RP.3; 7.EE.2; 7.EE.3; 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.4; 8.SP.3; 8.SP.4 | G.MG.3 S.IC.1; S.IC.2; S.IC.3; S.IC.4; S.IC.5; S.IC.6; S.ID.1; N.Q.1; N.Q.2; N.Q.3; S.ID.6 |

Business operations | Timecards | Time; Rounding; Adding; Multiple decimals; Order of operations; Substitute formulas and solve | 6.NS.2; 6.NS.3; 7.NS.1; 7.EE.3; 6.NS.2; 6.NS.3; 6.NS.5; 7.NS.1; 7.NS.2; 7.NS.3; 6.EE.2; 7.EE.1; 7.EE.2; 6.EE.2 | A.APR.1; A.APR.7; N.RN.3; N.Q.1; A.REI.1; A.REI.2; A.CED.4 |

Business operations | Payroll deductions/register | Basic operations with whole numbers and decimals; Estimation; Rounding; Converting percentages to decimals | 6.NS.2; 6.NS.3; 7.NS.1; 7.EE.3; 6.NS.2; 6.NS.3; 6.NS.5; 7.NS.1; 7.NS.2; 7.NS.3; 6.RP.2; 6.RP.3; 7.EE.2 | A.APR.1; A.APR.7; N.RN.3; N.Q.1 |