Identify alternate angles and corresponding angles
Understand a proof that: the sum of the angles of a triangle is 180
and of a quadrilateral is 360
Understand a proof that the exterior angle of a triangle equals the sum of the two interior opposite angles
1
Explain how to find, calculate and use: the sums of the interior and exterior angles of quadrilaterals, pentagons and hexagons.
Solve problems using properties of angles, of parallel and intersecting lines, and of triangles and other polygons
Explain how to find, calculate and use: the sums of the interior and exterior angles of regular polygons
Solve problems using properties of angles, of parallel and intersecting lines, and of triangles and other polygons
Use straight edge and compasses to construct the bisector of an angle:
Use a straight edge and compasses to construct the mid-point and perpendicular bisector of a line segment
Use a straight edge and compasses to construct: the perpendicular from a point to a line; the perpendicular from a point on a line
2
3–4
5
6
2.1 Angles
2.2 Calculating angles
Identify alternate and corresponding angles on parallel lines
Understand a proof that the angle sum of a triangle is 180º
Understand that the angle sum of a quadrilateral is 360º
Understand a proof that the exterior angle of a triangle is equal to the sum of the two interior opposite angles
2.3 Quadrilaterals Classify quadrilaterals by their geometric properties
2.4 Solving geometric problems
Solve geometric problems by using angle, side and symmetry properties of equilateral, isosceles and right-angled triangles and special quadrilaterals, explaining reasoning with diagrams and text
2.5 Construction Construct a bisector of an angle, using a straight edge and compasses
Construct the mid-point and perpendicular bisector of a line segment, using a straight edge and compasses
10
24
13
8
35
Know the sum of angles at a point, on a straight line and in a triangle
Use angle measure; distinguish between and estimate the size of acute, obtuse and reflex angles
Us a ruler and protractor to construct a triangle given two sides and the included angle (SAS)
Identify and draw parallel and perpendicular lines
Recognise vertically opposite angles
Know the sum of angles at a point, on a straight line and in a triangle, and recognise vertically opposite angles
Identify and use angle, side and symmetry properties of triangles; solve problems using step-by-step deduction and explaining reasoning
Use straight edge and compasses to construct a triangle, given right angle, hypotenuse and side (RHS)
7
8
2.6 Perpendiculars Construct the perpendicular from a point to a line using a straight edge and compasses
Construct the perpendicular from a point on a line using a straight edge and compasses
TESTING End of unit test. Mental Arithmetic. Review Test
Oral objectives:
Know and use squares, positive and negative square roots, cubes of numbers 1 to 5 and corresponding roots
Convert between fractions, decimals and percentages
Find fractions and percentages of quantities
Know or derive complements of 0.1, 1, 10, 50, 100, 1000
Badger
7, 8, 9
11,12,29
15,17
37
Key words : parallel, alternate, corresponding, vertically opposite, proof, interior, exterior, parallelogram, rhombus, isosceles trapezium, kite, arrowhead or delta, bisector, perpendicular bisector, compasses, perpendicular bisector, mid-point, equidistant, construct, perpendicular, arc.