Maths

Y7 Maths

Key Stage 3

Year 7

Positive and negative numbers 

Number

THEME

Factors and multiples

Measures: Length

Calculating with whole numbers and decimals

Problem solving with whole numbers and decimals

Decimals and measures

Numbers and numerals

Fractions and decimals

Place value

Multiplication and division: 2, 5 and 10

Conceptualising and comparing fractions

Multiplication and division

Time

Addition and subtraction

Numbers within 100

Addition and subtraction within 20

Exploring calculation strategies

Numbers within 6

Accuracy and estimation

Area and perimeter

Converting units of measure

Measures: Capacity and volume

Numbers to 10

Decimals

Addition and subtraction (applying strategies)

Integers & Decimals

Numbers to 20

Addition and subtraction within 10

Deriving multiplication and division facts

Addition and subtraction within 10 

Multiplication and division 

Problem solving with integer addition and subtraction

Reasoning with patterns and sequences

Fractions, decimals and percentages

Measures (2): Capacity and volume

Numbers 50 to 100 and beyond

Position and Direction

Securing multiplication facts

Addition and subtraction within 6

Order of operations

Surds and trigonometry

Measures: Mass

Reasoning with large whole numbers

Indices and standard form 

Exploring calculation strategies and place value

Reasoning with 4-digit numbers

Measures (1): Length and mass

Addition and subtraction word problems

Numbers to 50

Volume

Early Mathematical experiences

Solving measure and money problems

Addition and subtraction of 2-digit numbers (regrouping and adjusting)

Percentages

Doubling and halving 

Fractions

Numbers within 10

Numbers beyond 20

Depth of numbers within 20

Multiplication and division: 3 and 4 

Grouping and Sharing 

Length and perimeter

Numbers within 1000

Graphs

Number sense and exploring calculation strategies

Axioms and arrays

Numbers within 20

Exploring calculation strategies within 20

Manipulating and calculating with fractions

2-D shape, perimeter and area

Addition and subtraction of 2-digit numbers

Measures

Calculation problems

Extending calculation strategies and additive reasoning

Prime factor decomposition

Pattern and Early Number

Numbers within 15

Addition and subtraction 

Securing multiplication and division

Money

Addition and subtraction within 20 (comparison)

UNIT

In this lesson you will interpret negative numbers in a variety of contexts and explore movement on an 'extended' number line.

Negative numbers in context

In this lesson you will learn to interpret the absolute value of a number and understand how to order negative numbers using inequality notation.

Order and absolute value

By the end of this lesson you will be able to model addition of a positive number as a translation on the number line and use this model to develop strategies for addition.

Modelling Addition

In this lesson you will learn how to model addition of a negative number as a translation on the number line and explore what happens when two additive inverses are added together.

Further Addition

In this lesson you will explore the relationship between subtracting positive numbers and adding additive inverses.

Subtracting positive numbers

In this lesson you will explore subtracting negative numbers as the addition of the additive inverse.

Subtracting negative Numbers

In this lesson you will explore multiplication involving at least one positive number and learn how it’s possible to visualise multiplication as a stretch by a scale factor.

Multiplication as scaling

In this lesson you will learn about negative scale factors and explore the commutativity of multiplication.

Negative scale factors

By the end of this lesson you will be able to find the product of two negative numbers.


Further multiplication

In this lesson you will explore a model for division

Division

In this lesson you will derive further division facts using 'fact families'.

Further division

In this lesson you will practice negative number calculations, linking them to axioms.

Axioms and negative numbers

Key Stage 3, Maths
Positive and negative numbers

Lessons in this unit

Negative numbers in context

Order and absolute value

Modelling Addition

Further Addition

Subtracting positive numbers

Subtracting negative Numbers

Multiplication as scaling

Negative scale factors

Further multiplication

Division

Further division

Axioms and negative numbers

Key Stage 3, Maths Positive and negative numbers

Lessons in this unit

Negative numbers in context

Order and absolute value

Modelling Addition

Further Addition

Subtracting positive numbers

Subtracting negative Numbers

Multiplication as scaling

Negative scale factors

Further multiplication

Division

Further division

Axioms and negative numbers

Key Stage 3, Maths
Positive and negative numbers