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. Jump Strategy/Method Explained.
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 10.
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
ACMNA075 – Recall multiplication facts up to 10 * 10 and related division facts
Samples: Learn the 3 times multiplication table. Learn the 4 times multiplication table.
ACMNA076 – Develop efficient mental and written strategies and use appropriate digital technologies for multiplication and for division where there is no remainder
Samples: Multiplying by 10, 100 or 1000. Multiplying by 10. Short multiplication. Share 12 using division symbol.
Patterns and algebra
ACMNA082 – Solve word problems by using number sentences involving multiplication or division where there is no remainder
Samples: Short multiplication. Short multiplication - three digits by one digit.
Number and place value
ACMNA098 – Identify and describe factors and multiples of whole numbers and use them to solve problems
Samples: Place value - four digit numbers. Ordering large numbers. Short multiplication. Identifying place value to 10000.
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. .
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
4.OA.2 – Multiply or divide to solve word problems involving multiplicative comparison, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem, distinguishing multiplicative comparison from additive comparison. (See Glossary, Table 2. http://www.corestandards.org/the-standards/mathematics/glossary/glossary/ )
Samples: Recall multiplication facts 1x - 10x. Short multiplication. Multiplying by 10, 100 or 1000. Multiplying by 10.
Mathematics
4.NBT.5 – Multiply a whole number of up to four digits by a one-digit whole number, and multiply two two-digit numbers, using strategies based on place value and the properties of operations. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.
Samples: Recall multiplication facts 1x - 10x. 2x-10x Multiplication facts (times tables) - Missing Number. Arrays.
Mathematics
5.NBT.4 – Use place value understanding to round decimals to any place.
Samples: Rounding Decimals to Whole Numbers. Place value - four digit numbers. Short multiplication.
Mathematics
5.NBT.5 – Fluently multiply multi-digit whole numbers using the standard algorithm.
Samples: Multiplying Multiples of 10. Multiplying multiples of ten - missing numbers. Multiplying by multiples of 10.