Objectives:


Support:

  • 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.

Core:

  • 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.

Extension:

  • 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.

Key Vocabulary:

  • sequence, term, nth term, consecutive, predict, rule, generate, continue, finite, infinite, ascending, descending, symbol, expression, algebra, integer, index, factors, multiples, square root, cube root, HCF, LCM.

Suggested Lesson Outcomes:


SUPPORT CORE

Framework:








Teaching & Learning Resources:


Negative Numbers Resources
Counting On Resources
Sequences Resources
Linear Sequences Resources
Mapping Resources
nth Term Resources
Powers Resources
Multiples Resources
Factors Resources
PFD Resources
Estimating Roots Resources