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LEVELS 3 TO 4 USE SIMPLE FRACTIONS AND PERCENTAGES WRITTEN METHODS FOR + AND - USE SIMPLE FORMULAE IN WORDS RECOGNISE COMMON NUMBER SEQUENCES 4 SIMPLE FRACTIONS NUMBER & RECOGNISE NEGATIVE NUMBERS IN MONEY, TEMPERATURE ALGEBRA WHOLE NUMBER PROBLEMS USING MULTIPLICATION AND DIVISION 3 TIMES TABLES TO 10 x 10 SHORT MULTIPLICATION AND DIVISION Emaths.co.uk MULTIPLES, FACTORS AND SQUARES PLACE VALUE IN NUMBERS UP TO 1000 2,3,4,5 & 10 TIMES TABLES X AND ÷ BY 10 AND 100 MENTAL RECALL OF + AND - FACTS TO 20 SIMPLE DECIMAL NOTATION MAKE APPROXIMATIONS CHECK ANSWERS BY LOOKING AT SIZE POSITIVE COORDINATES ADD, SUBTRACT AND ORDER DECIMALS TO TWO OR THREE PLACES LEVELS 4 TO 5 SIMPLIFY FRACTIONS CALCULATE FRACTIONS AND PERCENTAGES OF NUMBERS USE SIMPLE FORMULAE 5 USE SIMPLE FRACTIONS AND PERCENTAGES USE BRACKETS USE SIMPLE FORMULAE IN WORDS RECOGNISE COMMON NUMBER SEQUENCES NUMBER & TIMES TABLES TO 10 x 10 ALGEBRA SHORT MULTIPLICATION AND DIVISION 4 LONG MULTIPLICATION AND DIVISION Emaths.co.uk WRITTEN METHODS FOR + AND X AND ÷ BY 10 AND 100 MULTIPLES, FACTORS AND SQUARES POSITIVE COORDINATES ADD, SUBTRACT AND ORDER DECIMALS CHECK ANSWERS BY LOOKING AT SIZE CHECK ANSWERS BY USING INVERSES X AND ÷ BY UP TO 1,000 CHECK ANSWERS BY ESTIMATING NEGATIVE NUMBERS AND COORDINATES X AND ÷ DECIMALS TO TWO PLACES LEVELS 5 TO 6 USE EQUIVALENT FRACTIONS, PERCENTAGES AND DECIMALS 6 DESCRIBE ONE NUMBER AS A FRACTION OR PERCENTAGE OF ANOTHER NUMBER CALCULATE FRACTIONS AND PERCENTAGES OF NUMBERS LONG MULTIPLICATION AND DIVISION CHECK ANSWERS BY USING INVERSES ADD AND SUBTRACT FRACTIONS 5 SIMPLIFY FRACTIONS X AND ÷ BY UP TO 1,000 NUMBER & ALGEBRA CHECK ANSWERS BY ESTIMATING USE BRACKETS USE RATIOS IN CALCULATIONS X AND ÷ DECIMALS TO TWO PLACES NEGATIVE NUMBERS AND COORDINATES USE SIMPLE FORMULAE DRAW GRAPHS USING ALGEBRA FIND TERM-TO-TERM AND POSITION-TO-TERM RULES FOR LINEAR SEQUENCES SOLVE LINEAR EQUATIONS TRIAL AND IMPROVEMENT TO SOLVE EQUATIONS Emaths.co.uk LEVELS 6 TO 7 ROUND TO 1 SIGNIFICANT FIGURE MULTIPLY AND DIVIDE NUMBERS OF ANY SIZE, INCLUDING NUMBERS BETWEEN 0 AND 1 7 UNDERSTAND PROPORTIONAL CHANGE 6 ADD AND SUBTRACT FRACTIONS USE EQUIVALENT FRACTIONS, PERCENTAGES AND DECIMALS DESCRIBE ONE NUMBER AS A FRACTION OR PERCENTAGE OF ANOTHER NUMBER FIND TERM-TO-TERM AND POSITION-TO-TERM RULES FOR LINEAR SEQUENCES FIND TERM TO TERM AND POSITION TO TERM RULES FOR QUADRATIC SEQUENCES USE RATIOS IN CALCULATIONS NUMBER & ALGEBRA SOLVE LINEAR EQUATIONS SOLVE SIMULTANEOUS EQUATIONS DRAW GRAPHS USING ALGEBRA TRIAL AND IMPROVEMENT TO SOLVE EQUATIONS MULTIPLY OUT AND SIMPLIFY QUADRATIC EXPRESSIONS SOLVE SIMPLE INEQUALITIES Emaths.co.uk LEVELS 7 TO 8 8 SOLVE PROBLEMS INCLUDING POWERS AND ROOTS MANIPULATE ALGEBRAIC FORMULAE MULTIPLY AND DIVIDE NUMBERS OF ANY SIZE, INCLUDING NUMBERS BETWEEN 0 AND 1 7 ROUND TO 1 SIGNIFICANT FIGURE FIND TERM TO TERM AND POSITION TO TERM RULES FOR QUADRATIC SEQUENCES NUMBER & ALGEBRA SOLVE SIMULTANEOUS EQUATIONS STANDARD FORM INTERPRET GRAPHS THAT MODEL REAL LIFE SITUATIONS SOLVE SIMPLE INEQUALITIES SUBSTITUTION USING FRACTIONS AND DECIMALS REPEATED PROPORTIONAL CHANGE UNDERSTAND PROPORTIONAL CHANGE MULTIPLY OUT AND SIMPLIFY QUADRATIC EXPRESSIONS SOLVE INEQUALITIES WITH TWO VARIABLES SKETCH AND INTERPRET GRAPHS OF QUADRATIC, CUBIC AND RECIPROCAL FUCTIONS Emaths.co.uk