Unit 8 – Geometry (11 lessons)

Syllabus Reference / Main Learning Objectives / Suggested Teaching Activities / Extra material /resources
References from Haese and Harris Cambridge International Mathematics 2009 / Calculator/
Non calc. activity
4.1 / RECAP (A) Know the meaning of these words with respect to Geometry. Acute, obtuse, right angle, reflex, parallel, perpendicular, equilateral, isosceles, regular, pentagon, hexagon, octagon, rectangle, square, kite, parallelogram, trapezium, Congruent
NEW Know the meaning of these words with respect to Geometry. Similar, rhombus. / Introduce the topic with reference to the key words. Show-me boards to check what they remember, quiz etc / Extra exercise on this on student CD on Assumed Knowledge (Geometry)
B: Lines
C: Polygons
F: Congruence / Non Calc
Paper 6 / Theory of Knowledge. Investigating the Mobius Strip and the Four Colour Problem / Worksheet plus files on server
4.3 / RECAP (A) Be able to measure and draw angles in degrees. / Suggest get students to draw angles and get their partner to estimate and then measure the angle. / Extra exercise on this on student CD on Assumed Knowledge (Geometry) A: Angles / Non Calc
4.4 / RECAP Be able to calculate missing angles by knowing the following angle properties.
Angles round a point add to 360o, angles on a straight line add to 180o, vertically opposite angles are equal, alternate angles on parallel lines are equal, corresponding angles on parallel lines are equal, co-interior angles on parallel lines are supplementary, angles in a triangle add to 180o / Ex. 4A p. 96 / Non Calc
4.4 / RECAP Be able to calculate missing angles by knowing the angle sum of a triangle. / Ex. 4B p. 99
Ex. 4C p. 102 / Non Calc for simple cases
4.4 / RECAP Be able to calculate missing angles by knowing the sum of interior and exterior angles of regular and irregular polygons. / Ex 4D p. 104
Ex 4E p. 107
Paper 6 / Investigating –making a drawing, looking for patterns, making predictions, testing them, making generalisations / Inside Outside / Worksheet
4.7 / NEW Be able to calculate missing angles by knowing that;
the angle in a semi-circle is 90o
the perpendicular from the centre of a circle to a chord is 90o
the angle between a tangent and a radius of a circle is 90o
tangents from an external point are equal in length. / ICT – mymaths – shape -
Circles - circle theorems
Links to Geometry package on virtual textbook (p. 548) are quite good. / Ex. 27A.1 p. 550 / Non Calc for simple cases
4.7 / NEW Be able to calculate missing angles by knowing that;
the angle at the centre of a circle is double the angle at the circumference
angles subtended from the same arc are equal / Links to Geometry package on virtual textbook (p. 552) are quite good. / Ex. 27A.2 p. 554 / Non Calc for simple cases
4.7 / NEW Be able to calculate missing angles by knowing that
opposite angles in cyclic quadrilaterals are supplementary
the exterior angle of a cyclic quadrilateral is equal to the opposite interior angle / Ex. 27B.1 p. 558
Ex. 27B.2 / Non Calc for simple cases
4.2 / RECAP Be able to draw and describe the symmetry of a 2D and 3D shape. Including line and rotational symmetry. / Examples in nature?
2D
3D / 2 dimensions:
Extra exercise on this on student CD on Assumed Knowledge (Geometry) D: Symmetry
3 dimensions
Pimentell and Wall IGCSE Mathematics
Ex. 19.1 (p. 290) / Non Calc
Paper 6 / Investigating –being systematic, looking for patterns, making predictions, testing them, making generalisations / Buses / Worksheet - Buses
4.5 / NEW Understand the meaning of mathematical similarity. Find missing lengths and angles in similar shapes. / Ex. 18A p. 369
Ex. 18B.1 p. 371
Ex. 18B.2 p. 372
Ex. 18C p. 374 / Non Calc for simple cases
4.5 / NEW Use the relationships between the areas and volumes of similar shapes to be able to find missing dimensions. Find area and volume of similar figures using scale factor for area and volume. / Students can investigate the relationship between scale factor for length and resulting areas and volumes. / Ex. 18D p. 378 / Non Calc for simple cases
Paper 6 / Theory of Knowledge- Application of volume scale factors to practical, real life situation / What determines coin size? / Worksheet