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Essential Math Vocabulary: Angles, Area, Volume, and More Explained

Dive into key mathematical terms with this comprehensive review by Megan Stussi, Eric Wilkinson, and Jesse Walker. This resource outlines fundamental concepts such as angles, area, circumference, volume, and more, using clear definitions and formulas. Learn about geometric figures like circles, quadrilaterals, and the importance of terms like radius and diameter. Whether you're a student or simply seeking to brush up on your math knowledge, this guide provides essential vocabulary and diagrams to enhance your understanding of mathematics.

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Essential Math Vocabulary: Angles, Area, Volume, and More Explained

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  1. Vocabulary Review By Megan Stussi, Eric Wilkinson and Jesse Walker Terms and Diagrams taken from “Harcourt Multimedia Math Glossary” http://www.harcourtschool.com/glossary/math_advantage/glossary6.html

  2. Angle • A geometric figure formed by two rays that have a common endpoint D Angle E F

  3. Arc • A portion of a circle • A semicircle is an arc that is one-half of a circle.

  4. Circumference • The distance around a circle • C = 2π x r d r or C = π x d

  5. Area • The size of a surface • The number of square units needed to cover a given surface • Example: The area is 9 square units. 4 1 2 3 5 6 7 8 9

  6. Area • Square A = side x side • Rectangle A = base x height A = length x width • Triangle A = ½ (base x height) s s h b h b

  7. b b 2 1 Area • Trapezoid A = ½ (base1 + base2) x height • Circle A = π x radius2 h r

  8. Volume • The number of cubic units needed to occupy a given space • Volume of a cube: volume= side3 • The volume of the cube is 8 cubic units. • Volume of a rectangular prism: V = (length) (width) (height) h l w

  9. Chord • A line segment connecting two points located on the circle.

  10. Coordinate Plane • A plane formed by a horizontal line (x-axis) that intersects a vertical line (y-axis) at a point called the origin

  11. Radius • A line segment with one endpoint at the center of a circle and the other endpoint on the circle radius

  12. b a Diameter • A line segment through the center of a circle, with endpoints on the circle • Equal to twice the radius • ab is a diameter of the circle.

  13. Perimeter • The distance around a polygon • Perimeter = side1+ side2 + side3….. • P = 2 cm + 3 cm + 3 cm = 8 cm • Perimeter of a square: p= 4 x side • Perimeter of a rectangle: p= 2b + 2h

  14. Pi π • The ratio of the circumference of a circle to the length of its diameter • Pi ≈ 3.14 Or Pi ≈ 3.14159265358979323846264338327950288419716939937510… (to the first 50 decimal places)

  15. Quadrilateral • A four-sided polygon • Examples:

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