YEAR 7 (ma2)

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  B  graph paper for representing decimals

Multiply and divide by powers of 10

W  times and divide

Compare and order decimals in context

 

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

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

L  fold-its

Recognise triangular and square numbers

L  fold-its

 

Fractions, decimals, percentages, ratio and proportion         Top

Objectives

Resources

Use fraction notation to describe parts of shapes

O  fraction wall

W  fun fractions

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

 

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  P  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

 

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