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YEAR 7 : Number and Algebra

The content for this section is sub-divided into the following areas:

Numbers and the number system Calculations Algebra
Place value, ordering and rounding Number operations Equations, formulae and identities
Integers, powers and roots Mental methods Sequences, functions and graphs
Fractions, decimals, percentage, ratio and proportion Written methods  
  Calculator methods  
  Checking results  

Numbers and the number system

Place value, ordering and rounding                                Top

Objectives Resources
  • Decimal notation and place value
B graph paper
  • Multiply and divide by powers of 10
 
  • Compare and order decimals in context
S Builder Ted (BBC Maths file)
  • Round to nearest 10,100, or 1000
L&W ordering and rounding

Integers, powers and roots                                            Top

Objectives Resources
  • Understand negative numbers on a no. line
L&W using negative numbers
  • Order, add and subtract -ve (and +ve) no.s in context.
L W W W W the hundred square

L&W time zones

L fold-its

  • Recognise and use multiples and factors
S grid game (BBC Maths file)

O grid for factors and muliples dice game

W satisfaction

W finding factors

L fold-its

  • LCM and HCF
L fold-its
  • Recognise and use prime numbers < 100
S grid game (BBC Maths file)

L fold-its

  • Recognise triangular and square numbers
S grid game (BBC Maths file)

L fold-its

Fractions, decimals, percentages, ratio and proportion         Top

Objectives Resources
  • Use fraction notation to describe parts of shapes
O fraction wall
  • Express a smaller number as a fraction of another
 
  • Simplify fractions
 
  • Use division to convert a fraction to a decimal
L W fraction and decimal card game
  • Convert terminating decimals to fractions
L&W investigating fractions and decimals
  • Use a diagram to compare simple fractions
 
  • Begin to add and subtract simple fractions
 
  • Calculate simple fractions of quantities
 
  • Multiply a fraction by an integer
 
  • Understand percentage as the 'number of parts per 100'
 
  • Recognise equivalence of %'s, fractions and decimals
S salloon snap (BBC Maths file)
  • Calculate percentages
 
  • Use percentages to compare simple proportions
 
  • Understand the relationship between ratio and proportion
 
  • Reduce a ratio to its simplest form
 
  • Divide a quantity by a given ratio
 
  • Solve simple problems about ratio and proportion informally
 

Calculations

Number operations and the relationships between them      Top

Objectives Resources
  • Consolidate understanding of multiplication and division
W O biggest total

W converting currency

L&W noughts and crosses division

  • Know how to use the laws of arithmetic
W W  Addition drawings

W subtraction drawings

W W W just one out

  • Know and use order of operations including brackets
L W W H BIDMAS          L O  Maths Years     

W O  Whats the answer? 

Mental methods and rapid recall of number facts                Top

Objectives Resources
  • Positive integer complements of 100
 
  • Multiplication facts up to 10x10 and related division facts
A blind tables

L doubling and halving digit cards

L multiplication bingo

L O W times tables codes

  • Decimals, fractions and percentages
W 4 in a line division game
  • Solve simple word problems mentally
L&W mental tests

W starting numbers

  • Make and justify estimates and approximations
W misplaced points

Written methods                                                                    Top

Objectives Resources
  • Standard column procedures for whole numbers
W O biggest total

W W division decoder

  • Standard column procedures for decimals up to 2 dp
 
  • Multiply and divide 3 digit by 2 digit whole numbers
 
  • Multiply and divide decimal by single digit whole numbers
 

Calculator methods                                                                Top

Objectives Resources
  • Use brackets and memory for multi step calculations
 
  • Use the square root key
 
  • Use the sign change key
 
  • Enter no.s and interpret the display in different contexts
 

Checking results                                                                    Top    

Objectives Resources
  • Check results by working the problem backwards
 
  • Consider whether the result is the right order of magnitude
W misplaced points

Algebra

Equations, formulae and identities                                    Top

Objectives Resources
  • Use letter symbols to represent unknowns
W W W  Arithmagons

O W algebraic hundred square

  • Know the meanings of term, expression and equation
 
  • Know algebraic operations follow the rules of arithmetic
 
  • Simplify linear expressions by collecting like terms
 
  • Begin to multiply a single term over a bracket
 
  • Construct and solve simple linear equations
S Equation match (BBC Maths file)
  • Use simple formulae from mathematics and other subjects
 
  • Substitute integers in simple linear expressions
L W swahili numbers
  • Derive simple formulae
W algebraic hundred square

Sequences, functions and graphs                                        Top

Objectives Resources
  • Generate and describe simple integer sequences
  • Generate terms of a simple sequence, given a rule
L O O  Sequences
  • Generate sequences from practical contexts
L W W W B H H  Surf shacks
  • Express simple functions in words, then symbols
  • Represent simple functions in mappings
  • Generate co-ordinate pairs that satisfy a simple rule
O W W W co-ordinate grids
  • Plot graphs of simple linear functions (paper or ICT)
  • Recognise straight line graphs parallel to x or y axis
  • Begin to plot and interpret graphs of simple linear functions
S planet hop (BBC Maths file)