Illustrative Math Alignment: Grade 7 Unit 7

Topic

3D Geometry

Description

This segment explores pyramids, particularly Mayan and Egyptian structures, to distinguish rectangular and square bases. It discusses the volume of truncated pyramids using proportional relationships and introduces the concept of tiered volume reduction through geometric sequences.

This video offers a comprehensive look at the mathematical concepts behind 3D Geometry. Students will gain insights into practical applications and theoretical understanding of the topic, enhancing their ability to visualize and apply these concepts.

Topic

3D Geometry

Description

This segment examines cylinders, using the Shanghai Tower as a case study. It highlights how adjustments to height and radius affect volume and surface area, demonstrating these principles with geometric calculations and their architectural applications in energy efficiency.

This video offers a comprehensive look at the mathematical concepts behind 3D Geometry. Students will gain insights into practical applications and theoretical understanding of the topic, enhancing their ability to visualize and apply these concepts.

Topic

3D Geometry

Description

This video focuses on antiprisms, with One World Trade Center serving as a striking example. An antiprism is a polyhedron with two congruent polygonal bases rotated relative to each other and triangular sides connecting them. Key vocabulary includes antiprism, square base, triangular sides, and octagon. The geometry of the Freedom Tower is discussed, including its octagonal slices and symbolic height of 1776 feet. Applications highlight the dual role of the building as both an office space and a monument, emphasizing how its antiprism structure represents unity and homage to the Twin Towers.

Topic

3D Geometry

Topic

3D Geometry

Topic

3D Geometry

Topic

Quadrilaterals

Topic

Quadrilaterals

Description

Description: Quadrilaterals are fundamental in structural design, as seen in examples like Stonehenge and home layouts. Their prevalence in construction stems from properties like parallel sides and stability, making them ideal for creating functional spaces.

Topic

Quadrilaterals

Description

Description: This segment examines quadrilaterals in modern architecture, such as Frank Lloyd Wright’s Fallingwater. It explores how rectangles derive stability and maximum area from right triangles, offering applications in both aesthetic and structural design.

Topic

Quadrilaterals

Description

Description: Focused on tilted parallelograms in architecture, such as Madrid’s Puerta de Europa towers, this segment discusses balance, center of gravity, and how slanted shapes maintain stability. Applications include structural engineering and innovative design.

This is part of a collection of math worksheets that are crossword puzzles of math vocabulary.

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