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:
Counting
KS2.Ma2.2.a – Count on and back in tens or hundreds from any two- or three-digit number; recognise and continue number sequences formed by counting on or back in steps of constant size from any integer, extending to negative integers when counting back
Samples: Investigating number patterns. Two digit addition: Activity 1. Jump Strategy/Method Explained. 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. Jump Strategy/Method Explained.
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
ACMNA055 – Recall addition facts for single-digit numbers and related subtraction facts to develop increasingly efficient mental strategies for computation
Samples: Addition to 20. Add three numbers - each under 6. Single digit addition with a missing number.
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.
Mathematics
2.NBT.5 – Fluently add and subtract within 100 using strategies based on place value, properties of operations, and/or the relationship between addition and subtraction.
Samples: Add on numbers under 10. Two Digit Addition - Traditional Method - No Carrying. Jump Strategy/Method Explained.
Mathematics
3.OA.8 – Solve two-step word problems using the four operations. Represent these problems using equations with a letter standing for the unknown quantity. Assess the reasonableness of answers using mental computation and estimation strategies including rounding. (This standard is limited to problems posed with whole numbers and having whole-number answers; students should know how to perform operations in the conventional order when there are no parentheses to specify a particular order.)
Samples: Two digit addition: Activity 1. Patterns and multiplication. Two digit subtraction - Problem Solving - activity 1.
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. Jump Strategy/Method Explained.
Mathematics
4.NBT.4 – Fluently add and subtract multi-digit whole numbers using the standard algorithm.
Samples: Add on numbers under 10. Jump Strategy/Method Explained. Two Digit Addition - Traditional Method - No Carrying.