#### Place value

**Properties of number**

**Arithmetic procedures -Integers**

#### Expressions and equations

#### Plotting coordinates

#### Perimeter and area

#### Arithmetic procedures including fractions

#### Fractions and Ratio

#### Transformations

The Year 7 math curriculum based on the National Curriculum of England, which is widely used as a reference.

**Place value**- Understand the value of digits in decimals, measure and integers

**Properties of number: factors, multiples, squares and cubes**- Understand multiples
- Understand integer exponents and roots
- Understand and use the unique prime factorization of a number

**Arithmetic procedures with integers and decimals**- Understand and use the structures that underpin addition and subtraction strategies
- Understand and use the structures that underpin multiplication and division strategies
- Use the laws and conventions of arithmetic to calculate efficiently

**Expressions and equations**- Understand and use the conventions and vocabulary of algebra including forming and interpreting algebraic expressions and equations
- Simplify algebraic expressions by collecting like terms to maintain equivalence
- Manipulate algebraic expressions using the distributive law to maintain equivalence

**Plotting coordinates**- Connect coordinates, equations and graphs

**Perimeter and area**- Understand the concept of perimeter and use it in a range of problem-solving situations
- Understand the concept of area and use it in a range of problem-solving situations

**Arithmetic procedures including fractions**- Work interchangeably with terminating decimals and their corresponding fractions.
- Compare and order positive and negative integers, decimals and fractions
- Know, understand and use fluently a range of calculation strategies for addition and subtraction of fractions
- Know, understand and use fluently a range of calculation strategies for multiplication and division of fractions

**Understanding multiplicative relationships: fractions and ratio**- Understand the concept of multiplicative relationships
- Understand that multiplicative relationships can be represented in a number of ways and connect and move between those different representations
- Understand that fractions are an example of a multiplicative relationship and apply this understanding to a range of contexts
- Understand that ratios are an example of a multiplicative relationship and apply this understanding to a range of contexts

**Transformations**- Understand and use translations
- Understand and use rotations
- Understand and use reflections
- Understand and use enlargements

Overall, Year 7 builds upon the problem-solving skills and mathematical knowledge developed in Year 6. Students continue to deepen their understanding of mathematical concepts, apply them to real-life situations, and communicate their reasoning effectively. The introduction of mathematical tools and technologies further supports their learning and problem-solving abilities.