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.
Numbers and the number system
KS2.Ma2.2 – Pupils should be taught to:
Integers
KS2.Ma2.2.c – Read, write and order whole numbers, recognising that the position of a digit gives its value; use correctly the symbols <, >, =; multiply and divide any integer by 10 or 100 then extend to multiplying and dividing by 1000; round integers to the nearest 10 or 100 and then 1000; order a set of negative integers, explaining methods and reasoning; multiply and divide decimals by 10 or 100
Samples: Place value - four digit numbers. Ordinal numbers. Odd Numbers. Counting by Tens.
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.e – Work out what they need to add to any two-digit number to make 100, then add or subtract any pair of two-digit whole numbers; handle particular cases of three-digit and four-digit additions and subtractions by using compensation or other methods [for example, 3000 - 1997, 4560 + 998]
Samples: Two Digit Addition - Traditional Method - No Carrying. Two digit addition: Activity 1.
Written methods
KS2.Ma2.3.i – Use written methods to add and subtract positive integers less than 1000, then up to 10000, then add and subtract numbers involving decimals; use approximations and other strategies to check that their answers are reasonable
Samples: Two Digit Addition - Traditional Method - No Carrying. Two digit addition: Activity 1.
Number and place value
ACMNA072 – Recognise, represent and order numbers to at least tens of thousands
Samples: Place value - four digit numbers. Addition of three digit numbers. Identifying place value to 10000.
Number and place value
ACMNA291 – Use efficient mental and written strategies and apply appropriate digital technologies to solve problems
Samples: Addition of three digit numbers. Subtraction of 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.
Mathematics Standards
ACMNA280 – Compare, order, add and subtract integers
Samples: Addition of three digit numbers. Times tables revision. Addition of four digit 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.
5.NA.1 – Apply additive and simple multiplicative strategies and knowledge of symmetry to:
5.NA.1.a – Combine or partition whole numbers
Samples: Place value - four digit numbers. Place Values. Addition of three digit numbers. Add on numbers under 10.
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
2.NBT.7 – Add and subtract within 1000, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method. Understand that in adding or subtracting three-digit numbers, one adds or subtracts hundreds and hundreds, tens and tens, ones and ones; and sometimes it is necessary to compose or decompose tens or hundreds.
Samples: Addition of three digit numbers. Subtract from 100. Subtraction of three digit numbers.
Mathematics
3.NBT.2 – Fluently add and subtract within 1000 using strategies and algorithms based on place value, properties of operations, and/or the relationship between addition and subtraction.
Samples: Two Digit Addition - Traditional Method - No Carrying. Two digit addition: Activity 1.
Mathematics
4.NBT.4 – Fluently add and subtract multi-digit whole numbers using the standard algorithm.
Samples: Add on numbers under 10. Two digit addition: Activity 1. Jump Strategy/Method Explained.