Architecture and Construction


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 architecture and construction and math teachers from Colorado. The associated sample lesson plan and related materials were identified and developed from this curriculum map.

Click on the 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.

Architecture and Construction

CTE Course/UnitCTE Concepts or ApplicationsEmbedded Math ConceptsMiddle School Common Core Math StandardsHigh School Common Core Math Standards
SafetyTool usage;
Shop safety
Statistics (Accidents in industry or schools);
Reading and following flow charts
6.SP.4; 6.SP.5; 7.SP.2; 7.SP.3; 7.SP.4; 7.SP.5; 8.SP.1; 8.SP.3; 8.SP.4; 6.EE.2; 6.EE.3; 6.SP.4; 6.SP.5; 8.SP.3; 8.SP.4S.ID.1; S.ID.2; S.ID.3; S.ID.5; S.ID.6; S.IC.1; S.IC.3; S.IC.4; S.IC.6; S.MD.1; S.CP.1; S.IC.1; S.IC.2; S.IC.5
Architectural design;
Project design;
Site layout;
Types of drawings;
Room planning & layout;
Foundation types;
Concrete foundations
Residential structure design types;
Careers in construction and design;
Layout of building site (solar angle);
Room size requirements and layout;
Different foundation types;
Concrete foundation design and types
Earning potential;
Trigonometric angle;
Scale, ratio, and proportion;
Mathematical properties of concrete;
Shear and compression ratios
7.G.5; 6.RP.1; 6.RP.2; 6.RP.3; 7.RP.1; 7.RP.2; 7.RP.3; 7.EE.3; 6.G.1; 6.G.2; 6.G.3; 7.G.1; 7.G.4; 7.G.6; 8.G.9; 6.EE.2G.CO.9; G.CO.12; G.CO.13; G.SRT.6; G.SRT.8; F.TF.1; F.TF.2; F.TF.7; G.MG.3; G.GPE.7; G.MG.2; G.GMD.1; G.GMD.3
Methods of framing;
Framing types;
Live and dead loads;
Plot plans;
Contour and elevation data;
Polar coordinates
Balloon framing and platform framing;
Floor, wall, ceiling, and roof framing;
Stair layout and construction;
Calculating loads (beams);
Interpret elevation data;
Use polar coordinates to lay out a site/plot plan
Load and data analysis;
Graph interpretation;
Spatial conversion of 3D to 2D;
8.G.6; 8.G.7; 8.G.8; 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.2; 7.SP.3; 7.SP.4; 8.SP.3; 8.SP.4; 7.G.1; 7.G.2G.SRT.6; G.SRT.8; F.IF.8; N.Q.3; 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.C0.5; G.MG.1; G.MG.3; G.CO.12; G.CO.13; G.GMD.4
Roofing materials and methods;
Windows and doors;
Door and window schedules;
Floor plans
Application and different types of roof coverings;
Types of doors and windows;
Generation of window and door schedule;
Floor plan requirements and generation
Area and cost information;
Symmetry, area usage;
Area, square footage
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.G.1; 6.G.2; 6.G.3; 7.G.1; 7.G.4; 7.G.6; 7.G.5S.IC.1; S.IC.2; S.IC.3; S.IC.4; S.IC.5; S.IC.6; S.ID.1; G.GPE.7; G.MG.2; G.CO.9; G.CO.12; G.CO.13
Material and cost estimation;
Interior and exterior finishes;
Construction details;
Section drawings
Residential building material and cost estimation;
Building cost restraints;
Detail drawings and section views
Linear, area, and volumetric calculation of materials;
Scale, ratios, and proportion
6.G.2; 6.G.3; 7.G.6; 8.G.9; 6.EE.2; 7.G.1; 6.G.1; 6.RP.1; 6.RP.2; 6.RP.3; 7.RP.1; 7.RP.2; 7.RP.3; 7.EE.3G.GMD.1; G.GMD.3; G.MG.2; G.GPE.7; G.MG.3
Exterior finishes;
Residential electrical
Types and uses of exterior finishes;
Residential electrical requirements;
Electrical plans
Linear and area calculations;
Power, resistance, and current equations and their relationships;
Electrical material estimation
6.G.1; 6.G.2; 6.G.3; 7.G.1; 7.G.4; 7.G.6; 6.EE.2; 7.EE.1; 7.EE.2; 8.G.6; 8.G.7; 8.G.8G.GPE.7; G.MG.2; A.REI.1; A.REI.2;
Residential plumbingResidential plumbing requirements;
Plumbing plans
Slope and volume;
Water pressure;
Plumbing material estimate
6.G.2; 6.G.3; 7.G.6; 8.G.9; 6.EE.2; 7.G.1G.GMD.1; G.GMD.3; G.MG.2; G.SRT.6; G.SRT.8; F.IF.8
Residential HVAC and MechanicalResidential HVAC requirements;
HVAC/ mechanical plans
Volume, cross-sectional area and flow ratios;
HVAC materials estimate
6.G.2; 6.G.3; 7.G.6; 8.G.9; 6.EE.2; 7.G.1; 6.G.1G.GMD.1; G.GMD.3; G.MG.2; G.GPE.7
Architectural modeling;
Application of theory through drawing final project
Architecture model constructionScale and proportions;
Assessment of completed project
6.RP.1; 6.RP.2; 6.RP.3; 7.RP.1; 7.RP.2; 7.RP.3