numberandalgebra

Select and apply strategies to solve problems involving multiplication and division with whole numbers

  • Select and use efficient strategies to multiply whole numbers of up to 4 digits by one- and 2-digit numbers
  • Solve word problems involving rates using multiplication and division (Reasons about relations)
  • Determine why different division questions have the same answer (Reasons about relations)

Multiply and divide decimals by powers of 10

  • Use mental strategies to multiply benchmark decimals by single-digit numbers
  • Compare the relative place value of digits to multiply and divide a decimal by powers of 10
  • Estimate the product of a decimal and a whole number to determine the magnitude of a calculator answer

Use equivalent number sentences involving multiplication and division to find unknown quantities

  • Complete number sentences that involve more than one operation by calculating missing numbers
  • Identify and use inverse operations to assist with the solution of number sentences
  • Recognise that division can be recorded using fractions

Represent and describe number patterns formed by multiples

  • Use a given geometric pattern involving multiples to create a table of values
  • Describe a pattern formed by multiples in words, in terms of multiplication rather than addition
  • Determine a rule describing the relationship between the bottom number and the top number in a table (Algebraic reasoning)

Explore the use of brackets and the order of operations to write number sentences

  • Recognise the need to agree on the order in which to perform operations
  • Use grouping symbols () in number sentences to indicate operations that must be performed first
  • Investigate the order of operations using real-life contexts
  • Solve problems involving grouping symbols