Knowledge, skills and understanding
Calculations
KS1.Ma2.3 – Pupils should be taught to:
Number operations and the relationships between them
KS1.Ma2.3.b – Understand multiplication as repeated addition; understand that halving is the inverse of doubling and find one half and one quarter of shapes and small numbers of objects; begin to understand division as grouping (repeated subtraction); use vocabulary associated with multiplication and division
Samples: Groups of 2. Identifying the amounts in a group. Rows of ten. Share 12 equally. Identifying fractions tutorial.
Mental methods
KS1.Ma2.3.c – Develop rapid recall of number facts: know addition and subtraction facts to 10 and use these to derive facts with totals to 20, know multiplication facts for the x2 and x10 multiplication tables and derive corresponding division facts, know doubles of numbers to 10 and halves of even numbers to 20
Samples: Add on to 5. Add on to 10. Addition to 20. Make 10. Counting forwards and backwards by 10.
KS1.Ma2.3.e – Carry out simple calculations of the form 40 + 30 = ?, 40 + ? = 100, 56 - ? = 10; record calculations in a number sentence, using the symbols +, -, x, ÷ and = correctly [for example, 7 + 2 = 9] .
Samples: Add on to 10. Addition to 20. Make 10. Add three numbers - each under 6. Counting forwards and backwards by 10.
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:
Mental methods
KS2.Ma2.3.f – Recall multiplication facts to 10 x 10 and use them to derive quickly the corresponding division facts
Samples: Learn the 3 times multiplication table. Learn the 4 times multiplication table.
Number and place value
ACMNA031 – Recognise and represent multiplication as repeated addition, groups and arrays
Samples: Counting by Tens. Counting in Two's. Counting by Fives. Groups of 2. Identifying the amounts in a group. Rows of ten.
4.NA.1 – Apply basic addition and subtraction facts, simple multiplication facts, and knowledge of place value and symmetry to:
4.NA.1.a – Combine or partition whole numbers
Samples: Counting to 100 on a number line: Activity 1. Make 10. Addition to 20. Add three numbers - each under 6.
Mathematics
3.OA.3 – Use multiplication and division within 100 to solve word problems in situations involving equal groups, arrays, and measurement quantities, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem. (See Glossary, Table 2. http://www.corestandards.org/the-standards/mathematics/glossary/glossary/ )
Samples: Learn the 3 times multiplication table. Learn the 4 times multiplication table.
Mathematics
3.OA.7 – Fluently multiply and divide within 100, using strategies such as the relationship between multiplication and division (e.g., knowing that 8 × 5 = 40, one knows 40 ÷ 5 = 8) or properties of operations. By the end of Grade 3, know from memory all products of two one-digit numbers.
Samples: Learn the 3 times multiplication table. Learn the 4 times multiplication table.