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Master essential mathematical concepts through this comprehensive course covering trigonometry, data analysis, measurement, and personal finance. Learn triangle labeling and apply the Pythagorean theorem to solve geometric problems. Develop proficiency with SOHCAHTOA trigonometric ratios to find unknown sides and angles in triangles, then tackle multiple triangle problems and real-world trigonometry applications. Explore data visualization techniques including broken line graphs, bar graphs, histograms, and circle graphs while working with fractions, ratios, and percentages. Study ratios, proportions, and slope relationships, understanding slope as a rate of change and applying the Pythagorean theorem with tangent ratios. Convert between different units of measurement and calculate perimeter and area of two-dimensional figures. Determine surface area of prisms, pyramids, and spheres, then compute volume and capacity for various three-dimensional shapes including composite figures. Work with scale drawings and models while creating two-dimensional and three-dimensional representations and technical drawings. Apply mathematical skills to personal finance by comparing different account types, calculating compound interest, and analyzing credit cards and store promotions. Understand borrowing principles and develop practical budgeting skills by preparing, creating, and adjusting personal budgets to manage finances effectively.
