Objectives:


Support:

  • Understand and use the relationships between the four operations, and the principles (not the names) of the arithmetic laws.
  • Use brackets.

Core:

  • Use letter symbols to represent unknown numbers or variables; know the meanings of the words term, expression and equation.
  • Understand that algebraic operations follow the same conventions and order as arithmetic operations.
  • Simplify linear algebraic expressions by collecting like terms; begin to multiply a single term over a bracket (integer coefficients).
  • Use simple formulae from mathematics and other subjects, substitute positive integers into simple linear expressions and formulae and, in simple cases, derive a formula.
  • Identify the necessary information to solve a problem; represent problems mathematically, making correct use of symbols, words, diagrams and tables.

Extension:

  • Begin to distinguish the different roles played by letter symbols in equations, formulae and functions; know the meanings of the words formula and function.
  • Know that algebraic operations follow the same conventions and order as arithmetic operations; use index notation for small positive integer powers.
  • Simplify or transform linear expressions by collecting like terms; multiply a single term over a bracket.
  • Substitute integers into simple formulae, including examples that lead to an equation to solve, and positive integers into expressions involving small powers (e.g. 3x2 + 4 or 2x3).

Key Vocabulary:

  • algebra, symbol, unknown, variable, substitute, expression, equation, evaluate, simplify, solve, brackets, commutative, associative, distributive, formula

Suggested Lesson Outcomes:


SUPPORT CORE

Framework:








Teaching & Learning Resources:


Algebra Resources
Brackets
Simplifying Resources
Collect Terms Resources
Formulae Resources
Substitution Resources