12th Grade Applying Geometry In Design Problem Solving Interactive Videos

Explore the calculation of hydrostatic force on a tank by applying integral calculus and principles of similarity triangles. Develop skills to calculate hydrostatic forces and understand fundamental fluid mechanics concepts, enhancing problem-solving abilities in physics and engineering.

Exploration of trigonometry and geometry highlights the importance of the Law of Sines and Cosines in architectural design. Learners will enhance their problem-solving abilities and deepen their understanding of mathematical relationships that are vital for effective architectural planning and construction.

Discover the extraordinary mathematical journey of Kelsey Johnson and Nakia Jackson as they engage with ancient puzzles at St. Mary's Academy. Their innovative use of trigonometric proofs demonstrates a groundbreaking approach that highlights the importance of a nurturing educational environment in developing mathematical skills and achieving excellence.

Understand and explore perimeter and area concepts in composite shapes, focusing on geometry fundamentals and enhancing problem-solving skills. Master the calculation of perimeters in complex shapes and develop an understanding of geometric properties, equipping learners with essential skills for advanced geometry studies.

Explore the geometric challenge of calculating angles between lines and planes in triangular prisms through 3D trigonometry. Develop proficiency in applying Pythagoras' Theorem and tangent functions to solve complex geometric problems, enhancing analytical skills within mathematical contexts. Demonstrate the ability to apply mathematical principles effectively and accurately in practical situations.

Focusing on geometry problems involving tangents, semicircles, and various shapes such as rectangles and triangles, learners will strengthen their understanding of geometric properties and enhance problem-solving skills. The application of mathematical theorems will be effectively emphasized.

Understand the concept of scale factors and learn to calculate missing lengths in mathematically similar shapes. Develop the capability to identify scale factors, utilize them to find unknown measurements, and gain an understanding of the properties characterizing mathematical similarity.

Explore algebraic relationships through the geometric analysis of hexagons by focusing on the lengths and angles within the shape. Apply the cosine rule to deepen understanding of geometric properties and enhance problem-solving abilities in an algebraic context.