MATHS – YEAR 7

AUTUMN TERM

Pupils will have the opportunity to develop the following skills:

Exploring sequences

• Describe and continue sequences in diagram and number forms, both linear and non-linear

Understanding and using algebraic notation

• Using single function machines and series of two function machines with numbers, bar models and letters
• Forming and substituting into expressions, including generating sequences.
• Representing functions graphically

Equality and equivalence

• Understanding equality and fact families
• Forming and solving one-step equations
• Understanding equivalence
• Collecting like terms

Place value and ordering

• Describe and continue sequences in diagram and number forms, both linear and non-linear
• Integer place value up to one billion
• Decimal place value to hundredths
• Working out and using number lines
• Comparing and ordering numbers
• The range and the median
• Rounding to positive powers of ten and to one significant figure

Fraction, decimal and percentage equivalence

• Representing tenths and hundredths on diagrams and number lines
• Interchanging between fractions, decimals and percentages for multiples of tenths and quarters
• Interpreting pie charts
• Equivalent fractions
• Converting between any fraction, decimal and percentage

Pupils will have the opportunity to develop their knowledge about:

Exploring sequences

• Know the vocabulary of sequences (linear, geometric)

Understanding and using algebraic notation

• Understand and use function machines
• Know how to express items using formal algebra

Equality and equivalence

• Identify like terms and equivalence of expressions

Place value and ordering

• Know the place value of numbers up to 1,000,000,000
• Understand the range and median
• Understand significant figures

Fraction, decimal and percentage equivalence

• Know fractions, decimal and % equivalence for any  number

MATHS – YEAR 7

SPRING TERM

Addition and Subtraction – throughout the term pupils will have the opportunity to develop the following skills:

• Use formal methods of addition with integers and decimals
• Solve problems in the context of perimeter, money and frequency trees and tables

Multiplication and division - throughout the term pupils will have the opportunity to develop the following skills:

• Multiplying by 10, 100 and 1000; unit conversions
• Formal methods of multiplication and division
• HCF and LCM
• Areas of triangles, rectangles and parallelograms
• Finding the mean
• Finding fractions and percentages of amounts
• Solving two-step equations (with and without a calculator)
• Order of operations

Negative Numbers - throughout the term pupils will have the opportunity to develop the following skills:

• Ordering directed numbers with and without context
• Revisit four operations to include directed number
• Using a calculator with directed number
• Order of operations

Adding and subtracting fractions - throughout the term pupils will have the opportunity to develop the following skills: 

• Representing tenths and hundredths on diagrams and number lines
• Adding/subtracting fractions with a common denominator, including with answers above one
• Revisit equivalent fractions
• Adding and subtracting fractions with simple different denominators e.g. quarters/eighths, thirds/sixths
• Mixed questions e.g. 34+0.2

Pupils will have the opportunity to develop their knowledge about:

• Addition and Subtraction - strategies for adding/subtracting any number

• Multiplication and division - strategies for multiplying/diving any number;  understand and use Highest Common Factors and Lowest Common Multiples

• Negative Numbers - strategies for ordering and calculating with negative numbers

• Adding and subtracting fractions - strategies for adding/subtracting complex fractions; how to calculate with mixed decimals and fractions

MATHS – YEAR 7

SUMMER TERM

Pupils will have the opportunity to develop the following skills:

Drawing, measuring and notation

• Drawing and measuring lines and angles using ruler and protractor
• Understanding and using notation for lines and angles
• Understand parallel and perpendicular
• Recognise types of triangle, quadrilateral and other polygons
• Drawing triangles given SSS, SAS, ASA
• Drawing and interpreting pie charts

Geometric Reasoning

• Calculating using angles at a point, angles on a straight line and vertically opposite angles
• Calculating missing angles in triangles and quadrilaterals

Number Sense

• Mental arithmetic strategies
• Using known facts to derive other facts, including algebraic expressions

Probability

• Venn diagrams
• Probability of a single event

Prime numbers and proof

• Types of number, including prime factorisation
• Powers and roots
• Using counterexamples

Pupils will have the opportunity to develop their knowledge about:

Drawing, measuring and notation

• Understanding and using notation for lines and angles
• Understand parallel and perpendicular
• Recognise types of triangle, quadrilateral and other polygons

Geometric Reasoning

• Know angle sums and reasoning for parallel lines, quadrilaterals, triangles and points.  

Number Sense

• Recall vocab for properties of number (commutative etc)

Probability

• Know the different types of diagram that can be used for probability.  

Prime numbers and proof

• Identify prime, square and cube numbers