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Geometric skills

Part of Maths

  • Geometric skills

    • Determine the gradient of a straight line

      The gradient of a straight line is how steep it is. It can be calculated from a given set of coordinate points. There are three special cases of straight lines: parallel, horizontal and vertical.

    • Circle geometry

      Arc length is a fraction of circumference. Area of a sector is a fractions of the area of a circle. Both can be calculated using the angle at the centre and the diameter or radius.

    • Calculating the volume of a standard solid

      The volumes of standard 3D solids can be found using specific formulae. In this SQA National 5 Maths revision guide, we'll go through how to work out the volume of a cylinder, sphere, hemisphere, cone, prism, and composite shapes.

    • Applying Pythagoras Theorem

      Pythagoras Theorem states that for a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

    • Applying the properties of shapes to determine an angle

      Angles in a triangle add up to 180掳 and quadrilaterals add up to 360掳. Angles can be calculated inside semicircles and circles, as well as with perpendicular bisectors and tangents.

    • Using similarity

      Similar figures are identical in shape, but not necessarily in size. A missing length, area or volume on a reduction/enlargement figure can be calculated by first finding the scale factor.

    • Working with two-dimensional vectors

      A vector describes a movement from one point to another. 2D vectors are added from nose to tail giving a new line from the starting point to the final point..

    • Working with three-dimensional coordinates

      A vector describes a movement from one point to another. 3D vectors exist in the xyz plane. The 3D coordinates for any point have three values.

    • Using vector components

      Vector components describe the separate x, y and z values of a vector. When working with vectors, components can be added or subtracted separately.

    • Calculating the magnitude of a vector

      The magnitude of a vector is its size. It can be calculated from the square root of the total of the squares of of the individual vector components.

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