Knowledge, skills and understanding
Solving numerical problems
KS2.Ma2.4 – Pupils should be taught to:
KS2.Ma2.4.a – Choose, use and combine any of the four number operations to solve word problems involving numbers in 'real life', money or measures of length, mass, capacity or time, then perimeter and area
Samples: Two digit addition: Activity 1. Two digit subtraction - Problem Solving - activity 1.
Using and applying number
KS2.Ma2.1 – Pupils should be taught to:
Problem solving
KS2.Ma2.1.a – Make connections in mathematics and appreciate the need to use numerical skills and knowledge when solving problems in other parts of the mathematics curriculum
Samples: Counting by Tens. Two digit addition: Activity 1. Two digit subtraction - Problem Solving - activity 1.
Calculations
KS2.Ma2.3 – Pupils should be taught to:
Number operations and the relationships between them
KS2.Ma2.3.b – Find remainders after division, then express a quotient as a fraction or decimal; round up or down after division, depending on the context
Samples: Share 12 using division symbol. Division with remainders. Short multiplication with a missing number.
Mental methods
KS2.Ma2.3.g – Double and halve any two-digit number
Samples: Division with no remainders. Division with no remainders. Division - no remainders. Halving numbers.
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, 100 or 1000. Multiplying by 10. Share 12 using division symbol.
Number and place value
ACMNA101 – Solve problems involving division by a one digit number, including those that result in a remainder
Samples: Short multiplication with a missing number. Division with no remainders. Division with remainders.
ACMNA291 – Use efficient mental and written strategies and apply appropriate digital technologies to solve problems
Samples: Addition of three digit numbers. Mental Strategy - subtracting three digit numbers. Addition of large numbers.
Number and place value
ACMNA123 – Select and apply efficient mental and written strategies and appropriate digital technologies to solve problems involving all four operations with whole numbers
Samples: Addition of three digit numbers. Addition of large numbers.
7.NA.1 – Apply additive and multiplicative strategies flexibly to whole numbers, ratios, and equivalent fractions (including percentages)
Samples: Ordering large numbers. Numbers. Addition of three digit numbers. Adding three numbers. Times tables revision.
6.NA.1 – Apply additive and simple multiplicative strategies flexibly to:
6.NA.1.b – Find fractions of sets, shapes, and quantities
Samples: Short multiplication with a missing number. Division with no remainders. Division with remainders.
Mathematics
4.NBT.6 – Find whole-number quotients and remainders with up to four-digit dividends and one-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.
Samples: Share 12 using division symbol. Division with remainders. Division with no remainders.
Mathematics
5.NBT.6 – Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.
Samples: Division with remainders. Division of a large number by one digit - no remainders. Division with no remainders.
Mathematics
6.NS.2 – Fluently divide multi-digit numbers using the standard algorithm.
Samples: Division with no remainders. Long division - no remainders. Long multiplication. Times tables revision.