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 DAY TOPIC NOTES

MARCH

NUMBER(PERCENTAGE)





APRIL
 
ALGEBRA



 



Lessons calendar
Learning Objectives  Work  Material
 NUMBER(PERCENTAGE)    
 NUMBERS

-Standard form
-Reciprocal numbers
  

NUMBERS USING POWERS OF TEN

SCALES IN WORLD(BRILLIANT!)
 PERCENTAGE 

-Change fraction and decimal to percentage

-Change a percentage to a fraction and decimal

-A number as a % of another


EX.3.1

EX.3.2

EX.3.3



PPP1-FRACTION INCREASE

PERCENTAGE OF QUANTITIES

-50% of $30, 12.5% of $41.00

-Applications


EX.3.4

EX.3.5,EX.3.6

 LEFT OR RIGHT BRAIN THINKER?

ANOTHER LEFT OR RIGHT BRSIN THINKER!
WORKING BACKWARDS

-Apply a % by multiplying by a decimal 

-Original quantity




EX.3.7

GUESSING YOUR AGE!

MULTIPLIER TECHNIQUE



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


EX.3.8

EX.3.9
INVESTIGATION
87 X 98=8526!

KIN4-PERCENTAGE INCREASE

PPP4-PERCENTAGE INCREASE

JIGSAW4-PERCENTAGE
INCREASE


PRICE BEFORE GST

PRICE BEFORE TAX
MONEY

-Profit and loss

-Discounts

-Earning interest from a bank


 EX.3.11

EX.3.12

EX.3.13

 WORD5-PAY RISE
 RATIO

-Write a ratio statement

-Convert a ratio to a fraction or %
 

EX.3.14

EX.3.15

 DIVIDE INTO A GIVEN RATIO
 
SPLITTING IN A GIVEN RATIO


 EX.3.16
 
SPLIT INTO A GIVEN RATIO.SHOW ME


 
PROPORTIONS


 EX.3.17
 
 REVISION NUMBERS

WORKSHEET
HOMEWORK 1
 
 ALGEBRA    WHY ALGEBRA?
 WRITING EXPRESSIONS:

-Simplify 4 x y, b x 3a, etc

-Write expressions from phrases
 

EX.22.1

EX.22.2



 PPP11-WRITING ALG EXPRESSIONS

 SUBSTITUTION:

-Substitute one letter

-Substitute two letters
 

EX.22.3

EX.22.4


 PPP12-Substitution for basic rules

JIGSAW12-SUBSTITUTION

 USING FORMULAE IN PRACTICAL CONTEXTS

 EX.22.5
EX.22.7
(SPREADSHEET)
 
 SIMPLIFYING ALGEBRAIC EXPRESSIONS:

-Simplify 4c x 2d, -3x x 4, etc



-Collecting like terms x2-2x+x2,etc 
 

EX.23.1



EX.23.2



PPP14-SIMPLIFY ALG TERMS


WORD14-COLLECTING LIKE TERMS

GAME14-SIMPLIFY ALG EXPRESSION BY COLLECTING LIKE TERMS
 NUMBER PATTERNS

FINDING NTH TERM IN A LINEAR PATTERN


 EX.23.3


 FIBONNACI NUMBERS VIDEO(brilliant!)

 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
 SQUARE ROOTS

-Simplify sqr 9y6, sqrt 36x2y4, etc
 

EX.23.7
INVESTIGATION

 
 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
 


EX.23.8

EX.23.9

EX.23.10

EX.23.22

EX.23.23



 WORD18-SIMPLIFY ALG FRACTIONS
 BRACKETS

-Multiplying one bracket

-Multiplying two brackets


  




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