9x1 Shape 1 Objectives

Y9 – Shape 1 - Angles – 9X1 Level 4:

1. Use the properties of 2-D and 3-D shapes What properties do you need to know about a triangle to be sure it is isosceles; equilateral; scalene? Can you convince me that a square is a rectangle but a rectangle is not necessarily a square?

Level 5:

2. Use language associated with angle and know and use the angle sum of a triangle and that of angles at a point

Level 6:

3. Solve geometrical problems using properties of angles, of parallel and intersecting lines, and of triangles and other polygons

4. Identify alternate and corresponding angles; understand a proof that the sum of the angles of a triangle is 180° and of a quadrilateral is 360° How could you convince me that the sum of the angles of a triangle is 180º?

5. Use straight edge and compasses to do standard constructions Construct: • the • the • the • the

mid-point and perpendicular bisector of a line segment bisector of an angle perpendicular from a point to a line perpendicular from a point on a line

Level 7:

6. Find the locus of a point that moves according to a given rule, both by reasoning and using ICT. Show me and example of: • A point equidistant from these two points, and another and another …. • A point a metre from this line, and another, and another… • A point a metre from this point, and another,… • The locus of the path traced out by the centres of circles which have two given lines as tangents

7. Understand and apply Pythagoras' theorem when solving problems in

2-D