Mathematics - Key Stage 4 - Class activity - Formative assessment

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Triangles
Subject: Mathematics
Level: Key Stage 4
Resource type: Class activity
Teaching type: Formative assessment

Description

At the end of this activity, students should be able to:
recognise adjacent, supplementary, vertical, alternate, corresponding, straight and full angles
- calculate the measures of the above angles, given one or two of them
- use the theorem on the angle sum of a triangle
- define an exterior angle in a triangle and compute it
- calculate angles in a triangle, given two of its angles, one of its angles etc.

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Resources Structure Key Stage 4 Mathematics II. Geometry and transformations 14. Triangles Exam Specifications Key Stage 4 AQA GCSE Mathematics A (4301) II. Shape, space and measures Geometrical reasoning Angles recall and use properties of angles at a point, angles on a straight line (including right angles), perpendicular lines, and opposite angles at a vertex distinguish between acute, obtuse, reflex and right angles; estimate the size of an angle in degrees Properties of triangles and other rectilinear shapes distinguish between lines and line segments; use parallel lines, alternate angles and corresponding angles; understand properties of parallelograms use angle properties of equilateral, isosceles and right-angled triangles; understand congruence; explain why the angle sum of a quadrilateral is 360 degrees use their knowledge of rectangles, parallelograms and triangles to deduce formulae for the area of a parallelogram, and a triangle, from the formula for the area of a rectangle recall the essential properties and definitions of special types of quadrilateral, including square, rectangle, parallelogram, trapezium and rhombus; classify quadrilaterals by their geometric properties distinguish between lines and line segments; understand a proof that the angle sum of a triangle is 180 degrees; understand a proof that the exterior angle of a triangle is equal to the sum of the interior angles at the other two vertices use angle properties of equilateral, isosceles and right-angled triangles; explain why the angle sum of a quadrilateral is 360 degrees recall the definitions of special types of quadrilateral, including square, rectangle, parallelogram, trapezium and rhombus; classify quadrilaterals by their geometric properties calculate and use the sums of the interior and exterior angles of quadrilaterals, pentagons and hexagons; calculate and use the angles of regular polygons. understand, recall and use Pythagoras' theorem understand and use SSS, SAS, ASA and RHS conditions to prove the congruence of triangles using formal arguments, and to verify standard ruler and compass constructions understand, recall and use Pythagoras' theorem in 2-D, then 3-D problems; investigate the geometry of cuboids including cubes, and shapes made from cuboids, including the use of Pythagoras' theorem to calculate lengths in three dimensions understand similarity of triangles and of other plane figures; understand, recall and use trigonometrical relationships in right-angled triangles; calculate the area of a triangle; draw, sketch and describe the graphs of trigonometric functions

Copyright
YDP SA

Keywords
exterior, figure, construction, triangle, triangles, angle, geometry

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Triangles

Type: Class activity

School licence till: 24/05/2013

Price: 5.00 GBP

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This resource belongs to the following Packs:

Mathematics – Key Stage 4

School licence till: 24/05/2013

Price: 399.00 GBP (excl. VAT)

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