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Topics in Number & Place Value:

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Square and Cube Numbers

7NPV–3: Recognise and use square numbers and cube numbers, including calculating and applying them in problem-solving contexts.
Strengthens understanding of number pro...
Number & Place Value
11+
Year 7

Advanced Place Value Understanding

6NPV–2: Recognise the place value of each digit in numbers up to 10 million, including decimal fractions, and compose and decompose numbers up to 10 million using standar...
Year 6
Number & Place Value
11+

Place Value in Two-digit Numbers

2NPV–1 Recognise the place value of each digit in two-digit numbers, and compose and decompose two digit numbers using standard and non standard partitioning.
This con...
Number & Place Value
Year 2

Converting Units with Decimals and Fractions

5NPV–5: Convert between units of measure, including using common decimals and fractions.
Teaches practical application of decimals and fractions, essential for real-wo...
Number & Place Value
11+
Year 5

Understanding Fractions of One

5NPV–4: Divide 1 into 2, 4, 5 and 10 equal parts, and read scales/number lines marked in units of 1 with 2, 4, 5 and 10 equal parts.
Introduces students to fractions i...
Number & Place Value
11+
Year 5

Understanding Decimals and Place Value

5NPV–1: Know that 10 tenths are equivalent to 1 one, and that 1 is 10 times the size of 0.1. Know that 100 hundredths are equivalent to 1 one, and that 1 is 100 times the...
Number & Place Value
11+
Year 5

Dividing Hundreds into Equal Parts

3NPV–4: Divide 100 into 2, 4, 5 and 10 equal parts, and read scales/number lines marked in multiples of 100 with 2, 4, 5 and 10 equal parts.
Enhances students' underst...
Number & Place Value
Year 3

Number Line and Rounding for Four-digit Numbers

4NPV–3: Reason about the location of any four-digit number in the linear number system, including identifying the previous and next multiple of 1,000 and 100, and roundin...
Number & Place Value
Year 4

Understanding Thousands and Hundreds

4NPV–1: Know that 10 hundreds are equivalent to 1 thousand, and that 1,000 is 10 times the size of 100; apply this to identify and work out how many 100s there are in oth...
Number & Place Value
Year 4

Scaling with Powers of Ten

6NPV–1: Understand the relationship between powers of 10 from 1 hundredth to 10 million, and use this to make a given number 10, 100, 1,000, 1 tenth, 1 hundredth or 1 tho...
Year 6
Number & Place Value
11+

Decimal Number Line Reasoning

5NPV–3: Reason about the location of any number with up to 2 decimals places in the linear number system, including identifying the previous and next multiple of 1 and 0....
Number & Place Value
11+
Year 5

Number Line and Rounding Mastery

6NPV–3: Reason about the location of any number up to 10 million, including decimal fractions, in the linear number system, and round numbers, as appropriate, including i...
Year 6
Number & Place Value
11+

Number Line Reasoning for Two-digit Numbers

2NPV–2 Reason about the location of any two digit number in the linear number system, including identifying the previous and next multiple of 10.
Helps children unders...
Number & Place Value
Year 2

Lowest Common Multiple and Highest Common Factor

7NPV–2: Find the lowest common multiple (LCM) and highest common factor (HCF) of two or more numbers, including using prime factorisation.
Strengthens understanding of...
Number & Place Value
11+
Year 7

Identifying Prime Numbers

7NPV–1: Recognise prime numbers and determine whether a number is prime, including using prime factorisation to express numbers as a product of their prime factors.
En...
Number & Place Value
Year 7

Counting within 100 Forwards and Backwards

1NPV—1 Count within 100, forwards and backwards, starting with any number.
Cultivating the fundamental skill of counting within 100 is crucial for young learners, prov...
Number & Place Value
Year 1

Simplifying Ratios

7F–4: Recognise when ratios can be simplified, and use common factors to simplify ratios.
Enhances understanding of proportional relationships and efficiency in proble...
Fractions
Number & Place Value
11+
Year 7

Square Roots

7NPV–4: Understand and calculate the square root of a number, including identifying perfect squares and approximating non-square roots.
Prepares students for work with...
Number & Place Value
11+
Year 7

Place Value with Decimals

5NPV–2: Recognise the place value of each digit in numbers with up to 2 decimal places, and compose and decompose numbers with up to 2 decimal places using standard and n...
Number & Place Value
11+
Year 5

Place Value in Four-digit Numbers

4NPV–2: Recognise the place value of each digit in four-digit numbers, and compose and decompose four-digit numbers using standard and nonstandard partitioning.
Crucia...
Number & Place Value
Year 4

Understanding Fractions of Powers of Ten

6NPV–4: Divide powers of 10, from 1 hundredth to 10 million, into 2, 4, 5 and 10 equal parts, and read scales/number lines with labelled intervals divided into 2, 4, 5 an...
Year 6
Number & Place Value
11+

Understanding Base Ten Relationships

3NPV–1: Know that 10 tens are equivalent to 1 hundred, and that 100 is 10 times the size of 10; apply this to identify and work out how many 10s there are in other threed...
Number & Place Value
Year 3

Navigating the Number Line to 20

1NPV—2 Reason about the location of numbers to 20 within the linear number system, including comparing using < > and =.
Establishing a mental map of numbers up t...
Number & Place Value
Year 1

Number Line Reasoning with Three-digit Numbers

3NPV–3: Reason about the location of any three-digit number in the linear number system, including identifying the previous and next multiple of 100 and 10.
Helps stud...
Number & Place Value
Year 3

Decomposing Three-digit Numbers

3NPV–2: Recognise the place value of each digit in three-digit numbers, and compose and decompose three-digit numbers using standard and non-standard partitioning.
Gra...
Number & Place Value
Year 3

Dividing Thousands into Equal Parts

4NPV–4: Divide 1,000 into 2, 4, 5 and 10 equal parts, and read scales/number lines marked in multiples of 1,000 with 2, 4, 5 and 10 equal parts.
Facilitates comprehens...
Number & Place Value
Year 4