Download Number and Algebra Mind Map

Survey
yes no Was this document useful for you?
   Thank you for your participation!

* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project

Document related concepts

Factorization wikipedia , lookup

Fundamental theorem of algebra wikipedia , lookup

Elementary algebra wikipedia , lookup

Number wikipedia , lookup

System of polynomial equations wikipedia , lookup

Quadratic form wikipedia , lookup

Equation wikipedia , lookup

Signal-flow graph wikipedia , lookup

System of linear equations wikipedia , lookup

Linear algebra wikipedia , lookup

Quadratic equation wikipedia , lookup

Addition wikipedia , lookup

History of algebra wikipedia , lookup

Transcript
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