Year 8 Autumn Term Learning Objectives
Number and Algebra 1
Shape, Space and Measures 11
All should be able to
Understand negative numbers as positions on a number line; order, add and subtract positive and negative integers in context.
Use simple tests of divisibility.
Recognise the first few triangular numbers, squares of numbers to at least 12 12 and the corresponding roots.
Generate terms of a simple sequence given a rule.
Generate sequences from practical contexts and describe the general term in simple cases.
Most should be able to
Add, subtract, multiply and divide integers.
Recognise and use multiples, factors (divisors), common factor, highest common factor, lowest common multiple and primes; find the prime factor decomposition of a number (e.g. 8000 = 26 53).
Use squares, positive and negative square roots, cubes and cube roots, and index notation for small positive integer powers.
Generate and describe integer sequences.
Generate terms of a linear sequence using term-to-term and position-to-term definitions of the sequence, on paper and using a spreadsheet or graphical calculator.
Begin to use linear expressions to describe the nth term of an arithmetic sequence, justifying its form by referring to the activity or practical context from which it was generated.
Some should be able to
Use the prime factor decomposition of a number.
Use ICT to estimate square roots and cube roots.
Use index notation for integer powers and simple instances of the index laws.
Use correctly the vocabulary, notation and labelling conventions for lines, angles and Identify parallel and perpendicular lines; know the sum of angles at a point, on a straight line and in a triangle, and recognise vertically opposite angles.
Use angle measure; distinguish between and estimate the size of acute, obtuse and reflex angles. Use a ruler and protractor to: measure and draw lines to the nearest millimetre and angles, including reflex angles, to the nearest degree; construct a triangle given two sides and the included angle (SAS) or two angles and the included side (ASA).
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;
the exterior angle of a triangle is equal to the sum of the two interior opposite angles. Solve geometrical problems using side and angle properties of equilateral, isosceles and right-angled triangles and special quadrilaterals, explaining reasoning with diagrams and text; classify quadrilaterals by their geometric properties.
Use straight edge and compasses to construct: the mid-point and perpendicular bisector of a line segment; the bisector of an angle; the perpendicular from a point to a line; the perpendicular from a point on a line. Investigate in a range of contexts: shape and space.
Explain how to find, calculate and use:
the sums of the interior and exterior angles of quadrilaterals, pentagons and hexagons; -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. Know the definition of a circle and the names of its parts. Use straight edge and compasses to construct a triangle, given right angle, hypotenuse and side (RHS).
