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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

Whole number place value

F  F  Putting the numbers in order
F Finding Place Value
F Place Value Puzzle
F Write words as figures
W  writing numbers in words
F F Addition Puzzles
F Subtraction Puzzles
F F Write numbers in columns

Decimal notation and place value

F  F  graph paper for representing decimals
F Decimal Place Value
F $ money game

Multiply and divide by powers of 10

X  F F times and divide
F Converting to 100ths

Compare and order decimals in context

 

Round to nearest 10,100, or 1000

W  ordering and rounding
F shopping list
F Rounding to nearest 10
F Rounding to nearest 100
F Rounding to nearest 1000
F Rounding mixed

 

Integers, powers and roots                                             Top

Objectives

Resources

Understand negative numbers on a no. line

W  using negative numbers

F Negative numbers game
X Directed numbers worksheet generator

Order, add and subtract negative (and positive) numbers in context.

W   W  W  W  W  the hundred square
W  time zones

Recognise and use multiples and factors

W  grid for factors and muliples dice game
W  satisfaction
W  finding factors

LCM and HCF

F HCF LCM and Venn Diagrams

Recognise and use prime numbers < 100


Recognise triangular and square numbers


 

Fractions, decimals, percentages, ratio and proportion          Top

Objectives

Resources

Use fraction notation to describe parts of shapes

W  fraction wall
W  fun fractions
F Ordering Fraction

Express a smaller number as a fraction of another

 

Simplify fractions

F converting to mixed and improper
X Cancelling down worksheet generator

Use division to convert a fraction to a decimal

W  P  fraction and decimal card game

Convert terminating decimals to fractions

W  investigating fractions and decimals

Use a diagram to compare simple fractions

F fraction equivalent to half
F fraction equivalent to third
F fraction equivalent to quarter

Begin to add and subtract simple fractions

 F fraction subtraction with time puzzle

Calculate simple fractions of quantities

 F F Fraction of a whole number

Multiply a fraction by an integer

 

Decimal Addition

F  Add 1 and 2 digit decimals
F Money Addition

Understand percentage as the 'number of parts per 100'

F Shaded amounts out of 100

Recognise equivalence of %'s, fractions and decimals

 F F F Equivalent Fractions

Calculate percentages

 F Find Percentages of amounts

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

F Share 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

P   P  biggest total
F F Multiplication Puzzles
W  converting currency
W  noughts and crosses division
F Division by 7 puzzle
F Division questions
F F F F F Short Division
F F Grid Multiplication

Know how to use the laws of arithmetic

F   Many Addition worksheets (Horizontal/Vertical) up to 4 digit
W   Addition drawings
F   Many Subtraction worksheets (Horizontal/Vertical) up to 4 digits
F simple addition puzzle
W  subtraction drawings
P  P  P  just one out

Know and use order of operations including brackets

W   W  W  W  BIDMAS
W  W   Maths Years

W  P   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

X Blind Tables
W doubling and halving digit cards
F Arithmagons
W multiplication bingo
W  W  P  P times tables codes

Decimals, fractions and percentages

P 4 in a line division game

Solve simple word problems mentally

W mental tests
W starting numbers

Make and justify estimates and approximations

P misplaced points


Written methods                                                                     Top

Objectives

Resources

Standard column procedures for whole numbers

P   P  biggest total
P  P  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

P  misplaced points


Algebra

Equations, formulae and identities                                     Top

Objectives

Resources

Use letter symbols to represent unknowns

W   W  W   Arithmagons
W  W  algebraic hundred square

Know the meanings of term, expression and equation

 

Know algebraic operations follow the rules of arithmetic

F (F) Balancing Equation (answers)

Simplify linear expressions by collecting like terms

F algebraic Pyramids
F algebraic Perimeters

Begin to multiply a single term over a bracket

 

Construct and solve simple linear equations

F solve equations with algebraic perimeters

Use simple formulae from mathematics and other subjects

 

Substitute integers in simple linear expressions

W  P  swahili numbers

Derive simple formulae

W  algebraic hundred square
F F Make formula from words (and answers)


Sequences, functions and graphs                                         Top

Objectives

Resources

Generate and describe simple integer sequences

 

Generate terms of a simple sequence, given a rule

W  P  P  Sequences

Generate sequences from practical contexts

W  P  P  P  X  X  X  Surf shacks

Express simple functions in words, then symbols

 

Represent simple functions in mappings

 

Generate co-ordinate pairs that satisfy a simple rule

P  X  P  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

 

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