Knowledge, skills and understanding
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.
Number patterns and sequences
KS2.Ma2.2.b – Recognise and describe number patterns, including two- and three-digit multiples of 2, 5 or 10, recognising their patterns and using these to make predictions; make general statements, using words to describe a functional relationship, and test these; recognise prime numbers to 20 and square numbers up to 10 x 10; find factor pairs and all the prime factors of any two-digit integer
Samples: Investigating number patterns. Patterns and multiplication. Multiplication, Patterns and Algebra.
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.
Number and place value
ACMNA052 – Recognise, model, represent and order numbers to at least 10 000
Samples: Counting by Tens. Place value - four digit numbers. Ordinal numbers. Odd Numbers. Counting by tens - Faster.
ACMNA053 – Apply place value to partition, rearrange and regroup numbers to at least 10 000 to assist calculations and solve problems
Samples: Place value - four digit numbers. Identifying place value to 10000. Identifying place value to 10000: Activity 2.
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
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.
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.3 – Read and write numbers to 1000 using base-ten numerals, number names, and expanded form.
Samples: Place value - four digit numbers. Identifying place value to 10000. Identifying place value to 10000: Activity 2.
Mathematics
4.NBT.1 – Recognize that in a multi-digit whole number, a digit in one place represents ten times what it represents in the place to its right. For example, recognize that 700 ÷ 70 = 10 by applying concepts of place value and division.
Samples: Place value - four digit numbers. Identifying place value to 10000. Identifying place value to 10000: Activity 2.
4.NBT.2 – Read and write multi-digit whole numbers using base-ten numerals, number names, and expanded form. Compare two multi-digit numbers based on meanings of the digits in each place, using >, =, and < symbols to record the results of comparisons.
Samples: Place value - four digit numbers. Recall multiplication facts 1x - 10x. Place Values.
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.4 – Use place value understanding to round decimals to any place.
Samples: Rounding Decimals to Whole Numbers. Place value - four digit numbers. Short multiplication.