display, explain, and justify mathematical ideas and arguments using precise mathematical language
The student uses mathematical concepts of algebra to explain linear and non-linear applications in
calculate rise and run such as the rise and run of stair stringers or roof pitch;
distinguish the purpose and difference of a linear and non-linear increase and decrease of a
write systems of equations and inequalities from real-life situations that compare "best deal
use linear programing to maximize or minimize linear objective function in real-life situations and
express numbers as powers of 10 in business and industry settings;
determine the powers and roots of numbers;
apply compound interest formulas related to operating a business; and
use exponential decay models to determine the depreciation on equipment used in business and
The student applies geometric concepts to real-world problems in technical situations. The student
identify various geometric figures in order to identify what formulas are needed to solve
compute measurements such as area, surface area, volume, perimeter, and circumference in order to
use trigonometric functions such as sine, cosine, tangent, cotangent, cosecant, and secant to
apply Heron's formula for finding areas of triangles when the height is not known;
determine how changing dimensions will affect the perimeter, area, surface area, or volume in a
determine how angles will affect structural strength and stability;
apply right triangle relationships using the Pythagorean Theorem, special right triangles, and
determine the materials needed for a job or project by finding missing parts of a circle;
draw orthographic and isometric views and use them to produce engineering drawings;