Knowledge, skills and understanding
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.
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. Multiplying by 10, 100 or 1000. Short multiplication. Share 12 using division symbol.
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.1 – Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its right and 1/10 of what it represents in the place to its left.
Samples: Multiplying by 10, 100 or 1000. Place value - four digit numbers. Multiplying by 10, 100 or 1000.
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.