Math (F4) Math Reasoning 4.1, 4.2Presentation Transcript
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MATHEMATICS FORM 4 STATEMENT AND QUANTIFIERS MATHEMATICAL REASONING CHAPTER 4
If i get RM 1 million, then i will. . .
By the end of the lesson, student should be able to:
Determine whether a given sentence is statement and that statement is true or false.
(c) Construct true or false statements using given numbers and mathematical symbol.
(d) Construct statement using quantifier all and some.
(e) Determine whether a statement that contains the quantifier “all” is true or false.
(f) Construct a true statement using the quantifier “all” or “some” given an object and a property.
Definition of statement A statement is a sentence that is either TRUE or FALSE but not both.
Look at these Lemang! They are baked in bamboo. Lemang is made up of rice and water. Am I right, uncle? No, it is made up of glutinous rice and coconut milk. Is it your favourite dish on Hari Raya? Yes, I love to eat Lemang very much.
- Yes, I love to eat Lemang very much. - No, it is made up of glutinous rice and coconut milk. Is it your favourite dish on Hari Raya? Lemang is made up of rice and water. Look at these Lemang! They are baked in bamboo. NOT STATEMENT STATEMENT
STATEMENT TRUE FALSE WORDS WORDS + NUMBERS NUMBERS + MATH SYMBOL
Five is greater than three 5 is greater than 3 5 > 3 Statement can be written in 3 ways Words Numbers Words Numbers Numbers Mathematical symbol Numbers
True statement True statement True statement False statement False statement False statement Words Numbers & Words Numbers & Symbols 15 > -15 The third significant figure of 1.079 is 7 Malaysia is an island 2 3 = 3 2 6 is greater than 7 Singapore is an island
What about this? x + 3 = 5 x 2 – y 2 = 3 BOTH ARE NOT STATEMENT! Because it can either be true of false depending on the value of x and y
How old are you?
X + 2 = 5
y + 3x
COMMAND QUESTION EQUATIONS NOT STATEMENT
Construct statement using numbers and mathematical symbol 4 , 7, > True 7 > 4 15 ÷ 5 = 3 -5 x 2 < 1 x 8 True True False False False 4 > 7 15, 5, 3, ÷, = 5 ÷ 15 = 3 1, 8, -5, 2, x, < 1 x 8 < -5 x 2
All animals have legs All birds can fly Quantifiers ‘ALL’ and ‘SOME’ Specify quantity or number of objects FALSE TRUE FALSE All positive numbers are greater than 0 Some of us have been selected to join PLKN TRUE Some empty sets have elements FALSE
MORE QUANTIFIERS Each ALL Most Many Every None A lot of A few Several Any Part of SOME
Any positive numbers are greater than 0 All positive numbers are greater than 0 Some of us have been selected to join PLKN USING MORE QUANTIFIERS Only a few or several has been selected to join PLKN
Construct a true statement using the quantifier “all” or “some” given an object and a property Trapezium Diagonals of squares Months A pair of parallel sides Bisect each other at 90 o Have 30 days All trapeziums have a pair of parallel sides All diagonals of Squares bisect each other at 90 o Some months have 30 days TRUE STATEMENT PROPERTY OBJECT
SUMMARY A statement is a sentence that is either true or false but not both simultaneously. Example:
8 x 2 = 16
4 – 2 = 3
4x + 5
Statement is true Statement is false Not a statement STATEMENT
Quantifiers are used to indicate the number of cases there are in a statement.
“ ALL” indicates each and every one
“ SOME” indicates at least one or several.
Example: 1) All octagons have 8 sides. 2) Some triangles have equal sides. QUANTIFIERS [“ALL” or “some”]