# Mathematical Models with Applications

• Mathematical Modeling in Personal Finance

Students use graphical and numerical techniques to study patterns and analyze data related to personal finance. Students use algebraic formulas, numerical techniques, and graphs to solve problems related to financial planning.

New TEKS:

• Use formulas to generate tables to display series of payments for loan amortizations resulting from financed purchases
• Investigate and compare investment options – add certificates of deposit

Mathematical Modeling in Science and Engineering

Students use algebra and geometry to study patterns and analyze data as it applies to architecture and engineering.

New TEKS:

• Use scale factors with 2-D and 3-D objects to demonstrate proportional and non-proportional changes in surface area and volume as applied to fields
• Use the Pythagorean Theorem and special right-triangle relationships to calculate distances
• Use trigonometric ratios to calculate distances and angle measures as applied to fields

Mathematical Modeling in Social Sciences

Students determine the number of elements in a finite sample space and compute the probability of an event. Students analyze data as it applies to social sciences.

New TEKS:

• Determine the number of ways an event may occur using combinations, permutations, and the Fundamental Counting Principle
• Determine the strengths and weaknesses of conclusions
• Distinguish the purposes and differences among types of research, including surveys, experiments, and observational studies

Mathematical Modeling in Fine Arts

Students use algebra and geometry to study patterns and analyze data as it applies to fine arts.

New TEKS:

• Use similarity, geometric transformations, symmetry, and perspective drawings to describe mathematical patterns and structure in art and photography
• Use scale factors with 2-D and 3-D objects to demonstrate proportional and non-proportional changes in surface area and volume as applied to fields