Numbers
Learning Objectives
NUMBER(PERCENTAGE)
NUMBERS
-Standard form
-Reciprocal numbers
PERCENTAGE
-Change fraction and decimal to percentage
-Change a percentage to a fraction and decimal
-A number as a % of another
PERCENTAGE OF QUANTITIES
-50% of $30, 12.5% of $41.00
-Applications
WORKING BACKWARDS
-Apply a % by multiplying by a decimal
-Original quantity
INCREASE A PERCENTAGE
-Increase a quantity a percentage
and by multiplying by a decimal
-Work a quantity as % of another:
Work out the Percentage increase
MONEY
-Profit and loss
-Discounts
-Earning interest from a bank
RATIO
-Write a ratio statement
-Convert a ratio to a fraction or %
SPLITTING IN A GIVEN RATIO
PROPORTIONS
REVISION NUMBERS
ALGEBRA
WRITING EXPRESSIONS:
-Simplify 4 x y, b x 3a, etc
-Write expressions from phrases
SUBSTITUTION:
-Substitute one letter
-Substitute two letters
USING FORMULAE IN PRACTICAL CONTEXTS
SIMPLIFYING ALGEBRAIC EXPRESSIONS:
-Simplify 4c x 2d, -3x x 4, etc
-Collecting like terms x2-2x+x2,etc
NUMBER PATTERNS
FINDING NTH TERM IN A LINEAR PATTERN
POWERS:
-Simplify r x r x r, 4a x 2a, etc
- Multiplication and division
-Rules for working powers (x2y3)4
EX.23.4
EX.23.5
EX.23.6 **
PPP16-INDICES
(RULES)
WORD16-MULTIPLYING TERMS POWERS
WORD16-DIVIDING TERMS POWERS
WORD18-SIMPLIFY ALG FRACTIONS
SQUARE ROOTS
-Simplify sqr 9y6, sqrt 36x2y4, etc
ALGEBRAIC FRACTIONS:
-Simplify 3x/6x, 12xy, 2z, etc
-Multipliy x/2 x x/5, 2x/3y x y/4x, etc
-Divide x/3 / x/6, etc
-Add fractions same denominator
-Add fractions different denominator
BRACKETS
-Multiplying one bracket
-Multiplying two brackets
EX.23.7
INVESTIGATION
EX.23.8
EX.23.9
EX.23.10
EX.23.22
EX.23.23