LAC 28:CXLII.4103. Applying Mathematics in Science and Engineering

A. Apply mathematical processes and algebraic techniques to study patterns and analyze data related to science. 1. Use proportional and inversely proportional relationships to describe physical laws. 2. Use exponential models available through technology to model growth and decay in areas such as population, biology, ecology, and chemistry, including radioactive decay. 3. Use quadratic functions to model motion, such as an object dropped, bounced, thrown, or kicked. B. Apply mathematical processes using algebra and geometry, with and without technology, to study patterns and analyze data related to architecture and engineering. 1. Use similarity, geometric transformations, symmetry, and perspective drawings to describe mathematical patterns and structure in architecture. 2. Use scale factors with two-dimensional and three-dimensional objects to demonstrate proportional and non-proportional changes in surface area and volume as applied to fields such as engineering drawing, architecture, and construction. 3. Use the Pythagorean Theorem and special right-triangle relationships to calculate distances. 4. Use trigonometric ratios to calculate distances and angle measures as applied to fields such as surveying, navigation, and orienteering. C. Apply mathematics of measurement to industrial design problems. 1. Identify, compare, and use various tools, such as rulers and measuring tapes in both the imperial and metric systems. 2. Identify, convert, and apply units of length, weight, volume, time, and temperature between imperial and metric systems given a situation or context. 3. Apply perimeter, circumference, volume and area formulas as a way to understand problems and to guide the solution of multi-step problems. 4. Choose and interpret units and tools consistently in formulas. 5. Justify the choice of unit and tools in a given context.