Knowledge, skills and understanding
Calculations
KS2.Ma2.3 – Pupils should be taught to:
Number operations and the relationships between them
KS2.Ma2.3.a – Develop further their understanding of the four number operations and the relationships between them including inverses; use the related vocabulary; choose suitable number operations to solve a given problem, and recognise similar problems to which they apply
Samples: Single digit addition with a missing number. Add on numbers under 10. Two digit addition: Activity 1.
Mental methods
KS2.Ma2.3.h – Multiply and divide, at first in the range 1 to 100 [for example, 27 x 3, 65 ÷ 5], then for particular cases of larger numbers by using factors, distribution or other methods
Samples: Short multiplication. Share 12 using division symbol. Multiplying multiples of ten by a single digit number.
Written methods
KS2.Ma2.3.j – Use written methods for short multiplication and division by a single-digit integer of two-digit then three-digit then four-digit integers, then of numbers with decimals; then use long multiplication, at first for two-digit by two-digit integer calculations, then for three-digit by two-digit calculations; extend division to informal methods of dividing by a two-digit divisor [for example, 64 ÷ 16]; use approximations and other strategies to check that their answers are reasonable
Samples: Short multiplication. Multiplying by 10. Multiplying by 10, 100 or 1000. Share 12 using division symbol.
Number and place value
ACMNA100 – Solve problems involving multiplication of large numbers by one- or two-digit numbers using efficient mental, written strategies and appropriate digital technologies
Samples: Short multiplication. Multiplying two digit numbers with a one digit number. .
6.NA.1 – Apply additive and simple multiplicative strategies flexibly to:
6.NA.1.a – Combine or partition whole numbers, including performing mixed operations and using addition and subtraction as inverse operations
Samples: Place value - four digit numbers. Ordering large numbers. Short multiplication. Addition of three digit numbers.
Mathematics
5.NBT.2 – Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use whole-number exponents to denote powers of 10.
Samples: Multiplying by 10. Multiplying by 10, 100 or 1000. Multiplying by multiples of 10. Multiplying by 10, 100 or 1000.
Mathematics
5.NBT.5 – Fluently multiply multi-digit whole numbers using the standard algorithm.
Samples: Multiplying multiples of ten by a single digit number. Multiplying multiples of ten - missing numbers.