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Mathematics   >   Properties and Constructions I – AQA GCSE (8300): Higher Tier

Terms and Notation – G1

 
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Properties and Constructions I – AQA GCSE (8300): Higher Tier

In this course, Professor Jason Lotay (University of Oxford) discusses Topics G1-G6 in the AQA GCSE (9-1) Mathematics (8300) Specification for Higher Tier. In the first mini-lecture, we cover the conventional terms and notations used in geometry (Topic G1). In the second mini-lecture, we use ruler and compass construction to create perpendicular bisectors and bisect angles (Topic G2). In the third mini-lecture, we explore types of angles and how we can use the properties of angles at a point on straight lines and on parallel lines to prove useful identities (Topic G3). In the fourth mini-lecture, we look at triangles and show how to use triangle congruence tests (Topics G4, G5, G6). In the fifth mini-lecture, we introduce six important quadrilaterals and use our understanding of angles, bisectors, and triangles to prove properties of quadrilaterals (Topics G4, G6). In the sixth mini-lecture, we tie together all the concepts we have learned in this course to find the length of the diagonal in a regular pentagon with side lengths of one unit (Topic G6).

Terms and Notation – G1

In this mini-lecture, we cover Topic G1 by introducing important terms and notation used in geometry. In particular, we focus on: (i) defining the plane, points, and lines; (ii) defining parallel and perpendicular lines, and how to recognise them; (iii) defining polygons, vertices, edges; (iv) examples of polygons, such as pentagons and triangles, including triangle notation for edges and angles; (v) regular polygons, for example the square; and (vi) reflection (horizontally, vertically, and diagonally) and rotation symmetries of the square and how these symmetries compare to those of the rectangle.

Cite this Lecture

APA style

Lotay, J. (2023, March 24). Properties and Constructions I – AQA GCSE (8300): Higher Tier - Terms and Notation – G1 [Video]. MASSOLIT. https://massolit.io/courses/properties-and-constructions-i-aqa-gcse-8300-higher-tier

MLA style

Lotay, J. "Properties and Constructions I – AQA GCSE (8300): Higher Tier – Terms and Notation – G1." MASSOLIT, uploaded by MASSOLIT, 24 Mar 2023, https://massolit.io/courses/properties-and-constructions-i-aqa-gcse-8300-higher-tier

Lecturer

Prof. Jason Lotay

Prof. Jason Lotay

University of Oxford