MATH & GEOMETRY Vocabulary and Terminology in English

The video introduces basic mathematical terminology for non-native English speakers, particularly those who may be studying in English-speaking countries. The instructor, Adam, clarifies that while he is not a math expert, he will provide essential math vocabulary for understanding and communicating mathematical concepts. The focus is on the four basic operations: addition, subtraction, multiplication, and division. Adam explains how to express these operations in different ways, such as using 'plus', 'minus', 'sum', 'difference', 'product', and 'quotient'. He also emphasizes the importance of understanding the wording in math problems, especially for those who are proficient in math but struggle with English terminology.

This section delves into more complex mathematical concepts such as fractions, exponents, and decimals. Adam explains the terminology associated with fractions, including 'numerator' and 'denominator', and provides guidance on pronunciation. He also discusses the representation of fractions in decimal form and the correct way to read them, such as 'zero point five' for 0.5. Exponents are introduced with the terms 'base', 'exponent', and 'power', and Adam illustrates how to express different powers, like 'squared' and 'cubed'. The concept of roots as the inverse of exponents is also briefly touched upon, setting the stage for further exploration of mathematical language.

The video script shifts focus to geometry, discussing shapes such as rectangles, squares, and circles, and their respective measurements. Adam explains the difference between two-dimensional shapes and their three-dimensional counterparts, like a box or a cube, and introduces terms like 'width', 'length', 'height', 'area', and 'volume'. He also touches on the concept of 'circumference' for circles and 'perimeter' for polygons. The explanation of geometric shapes and their measurements is aimed at helping viewers understand and communicate about spatial relationships and dimensions in math.

This paragraph explores various types of triangles, including 'isosceles', 'equilateral', and 'scalene', each defined by the lengths of their sides. Adam also discusses the 'right angle triangle', which has a 90-degree angle, and introduces the term 'hypotenuse' for the side opposite the right angle. The script continues with an explanation of angles measured in degrees, including 'acute', 'obtuse', and 'reflex' angles. The importance of understanding these angles is highlighted, especially for those studying geometry. The paragraph concludes with a brief mention of perpendicular lines and diagonals, reinforcing the geometric concepts introduced.

The final paragraph of the script addresses concepts related to graphs and coordinate systems. Adam introduces the terms 'x axis' and 'y axis', explaining their role in graphs and how they intersect at the origin. He also discusses 'parallel lines', which are lines that maintain a constant distance from each other and never meet, even extending infinitely. The script wraps up by emphasizing that while the video has covered a lot of ground, it has only scratched the surface of mathematics. Adam encourages viewers to continue their learning and to seek out more detailed information on specific math topics, while reminding them that he is available to help with vocabulary rather than complex mathematical problems.