Key Topics
Key Topics
We'll dive deeper into various types of functions and how to graph them. This includes:
Linear functions
Quadratic functions
Polynomial functions
Rational functions
Radical functions
Exponential and logarithmic functions
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Units of Study:
Units of Study:
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Assessment:
Assessment:
Assessment will be based on a variety of methods, including:
Quizzes
Tests
Homework assignments
Projects
Class participation
Cooperative learning activities
Algebraic Thinking in Future Careers
Electrician: They use algebraic formulas, most notably Ohm's Law (V=I×R), to calculate voltage, current, and resistance in electrical circuits. These calculations are critical for safety and efficiency.
HVAC Technician: These professionals use algebraic formulas to calculate heating and cooling loads for buildings, determine airflow rates, and ensure the correct pressure in refrigerant lines.
Plumber/Pipefitter: They use algebra and geometry to calculate the volume of materials needed, determine flow rates of water or gas, and figure out complex angles and lengths for pipe bending.
Carpenter: Carpenters use algebraic thinking to scale blueprints, calculate square footage for materials, and solve for unknown lengths and angles in framing, especially for roofs and stairs. The Pythagorean theorem (a2+b2=c2) is a form of algebra they use regularly to ensure corners are square.
Welder/Fabricator: Welders use algebra and trigonometry to calculate angles for cuts, find the correct dimensions for complex shapes, and ensure the structural integrity of their work.
Machinist: They use algebra and geometry to calculate feed rates, spindle speeds, and to program automated machines to cut and shape materials with precision.
Architectural Drafter: Drafters use computer-aided design (CAD) software, which is built on mathematical principles. They use algebraic concepts to work with dimensions and proportions to create accurate designs.
Engineering: Civil, mechanical, and electrical engineers use algebra to design and analyze systems, from structural integrity to electrical circuits.
Finance and Accounting: Financial analysts, accountants, and budget analysts use algebra to create financial models, forecast economic conditions, manage budgets, and analyze investments.
Computer Science and Technology: Software developers and programmers use algebra and other mathematical concepts to write code and create algorithms. Fields like data science, machine learning, and cryptography are heavily dependent on algebraic principles.
Trades and Construction: Carpenters, plumbers, and electricians use algebraic formulas to calculate measurements, angles, and volumes. An electrician, for example, uses algebra to calculate voltage and current in circuits.
Science and Research: Roles like statistician, physicist, and economist use algebra to build mathematical models, analyze data, and understand complex theories.
Medical Field: Professionals like MRI technicians use algebra to interpret and create medical images.
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