We have been doing alot in maths on hypotonuse. Hypotonuse- The longets side of a right angled triangle -The side opposite the right angle.
Label the sides using the letter of the opposite angle.
In any right nagled triangle the square of the longest side is equal to the sum of the sqaures of the two shorter sides.
e2=d2+f2 u2=v2+w2 a2=bb2+c2
Use the square root button on your clacualtor to find n. (Square root = /) n2=25 n=/25 = 5
n2=361 n=/361 =19
n2=576 n2=/576 = 24
Pythagorean Triads A pythagorean Triad is a set of 3 numbers that obey the pythagorus' theorem. For Example 345 is apythagprean triad becasue 52=32+42 25=9+16 25+25
3 6 8 82 = 32+62 64=9+36 64=65 Therfore it is not PT
5 12 13 132=122+52 169=144+25 169=169 Therefore is is PT
This week in Maths we have been doing more on Pythagoras' Theorem. On Thursday we did misalanias Pythagoras which is all the different types of Pythagoras.
We also had a maths test on Friday which i found easy because i knew everything.We could use calculators and our exercise books.We had 40 minutes to do it, the whole lesson.
This week we hvae starte dthe topic on area.We have learnt about the different fromulas of figuaring out different types of shapes: Look at the pictures above:
Perimeter – the length around the outside of a shape - Add the length of each side together - 1 dimensional ( measure length with a ruler) Area – measure the space inside a shape - 2 dimensional ( something you can cover) eg mm2, cm2, m2, km2, ha
1cm2- the area of a square with 1cm sides 1m2 – the area of a square with 1m sides 1ha – the area of a square with 100 m
Area Formulas
Square: A= S x S or A = S2
Rectangle: A = B x H
Triangle: A = b x h ½ x b x h 2 Area of special quadrilaterals – any 4 sided shape
Parallelogram - has 2 sets of parallel sides - A = b x h
Trapezium - has one set of parallel sides - A = ½ h (a +b )
Kite - 2 pairs of sides equal - Equal sides are next to each other - A – ½ y x ( x & y are the diagonals)
Rhombus - All sides are equal - A slanted Square - A = ½ x y
Circles Perimeter of a circle: C = pi x d C = 2 x pi r Area of circles: Pi x r2 S x s x pi = are of circle Volume of cylinder: V= Pi x r2 x h
Probability:
Impossible - It will never happen - It can never happen
Certain - It will always happen - It must happen Even chance - Has the same chance of happening as not
Simple Event - All possible outcome s are equally likely E.g. tossing a die is a simple event. Playing a game of soccer is not a simple event Sample Space - All the possible outcomes for a simple event E.g. for tossing a die the sample space is { 1, 2, 3, 4, 5, 6}
Probability of event occurring P (E) = # FAVOURABLE OUTCOMES # TOTAL OUTCOMES
Complementary events Opposite When rolling a dies P (3) = 1/6 P (not rolling a 3) = 5/6 P (3 or not 3) =1/6 + 5/6 = 1 P (E’) – means probability of an event will not occur.
Reveloution Angles at a point add up to 360 degrees
Example: a + b + c + d = 360 degrees
Vertically opposite angles:
Angles opposite eachother are equal and are called vertically opposite. When two straight lines intersect they make 4 angles. Vertically opposite angles are equal.
Examples:
x = 360 - 230 ( Angles at a point)( Reveloution) = 130 degrees
Z = 360 - (140 + 90) ( Angles at a point) = 130 degree
P = 128 degrees ( vertically opposite)
Angles and Parallel lines: Parallel lines - are lines that will never meet
A transversal - is a line that crosses between two or more other lines.
ll means parallel to
Arrows along 2 lines means they are parallel
There are 3 types of angles on parallel lines:
Alternate Angles - make a Z shape - Are equal x = 50 degrees (alternate agles on parallel lines)
Correspnding Angles - make a F shape - Are equal Z = 40 degrees ( corresponding angles on parallel lines)
Cointerior angles - make a C shape - add up to 180 degrees ( are supplementary) Y = 180 - 130 ( coininterior angles on parellel lines) = 50 degrees
TERM 1 2012
ReplyDeleteWe have been doing alot in maths on hypotonuse.
ReplyDeleteHypotonuse- The longets side of a right angled triangle
-The side opposite the right angle.
Label the sides using the letter of the opposite angle.
In any right nagled triangle the square of the longest side is equal to the sum of the sqaures of the two shorter sides.
e2=d2+f2
u2=v2+w2
a2=bb2+c2
Use the square root button on your clacualtor to find n. (Square root = /)
n2=25
n=/25
= 5
n2=361
n=/361
=19
n2=576
n2=/576
= 24
Pythagorean Triads
A pythagorean Triad is a set of 3 numbers that obey the pythagorus' theorem.
For Example 345 is apythagprean triad becasue
52=32+42
25=9+16
25+25
3 6 8
82 = 32+62
64=9+36
64=65
Therfore it is not PT
5 12 13
132=122+52
169=144+25
169=169
Therefore is is PT
WEEK 2
ReplyDeleteThis week in Maths we have been doing more on Pythagoras' Theorem.
ReplyDeleteOn Thursday we did misalanias Pythagoras which is all the different types of Pythagoras.
We also had a maths test on Friday , which i found easy because i knew everything.
ReplyDeleteWe also had a maths test on Friday which i found easy because i knew everything.We could use calculators and our exercise books.We had 40 minutes to do it, the whole lesson.
ReplyDeleteWEEK 3
ReplyDeleteThis week we hvae starte dthe topic on area.We have learnt about the different fromulas of figuaring out different types of shapes:
ReplyDeleteLook at the pictures above:
This comment has been removed by the author.
DeletePerimeter – the length around the outside of a shape
ReplyDelete- Add the length of each side together
- 1 dimensional ( measure length with a ruler)
Area – measure the space inside a shape
- 2 dimensional ( something you can cover) eg mm2, cm2, m2, km2, ha
1cm2- the area of a square with 1cm sides
1m2 – the area of a square with 1m sides
1ha – the area of a square with 100 m
Area Formulas
Square: A= S x S or A = S2
Rectangle: A = B x H
Triangle: A = b x h ½ x b x h
2
Area of special quadrilaterals – any 4 sided shape
Parallelogram
- has 2 sets of parallel sides
- A = b x h
Trapezium
- has one set of parallel sides
- A = ½ h (a +b )
Kite
- 2 pairs of sides equal
- Equal sides are next to each other
- A – ½ y x ( x & y are the diagonals)
Rhombus
- All sides are equal
- A slanted Square
- A = ½ x y
Circles
Perimeter of a circle:
C = pi x d
C = 2 x pi r
Area of circles:
Pi x r2
S x s x pi = are of circle
Volume of cylinder:
V= Pi x r2 x h
Probability:
Impossible
- It will never happen
- It can never happen
Certain
- It will always happen
- It must happen
Even chance
- Has the same chance of happening as not
Simple Event
- All possible outcome s are equally likely
E.g. tossing a die is a simple event. Playing a game of soccer is not a simple event
Sample Space
- All the possible outcomes for a simple event
E.g. for tossing a die the sample space is { 1, 2, 3, 4, 5, 6}
Probability of event occurring
P (E) = # FAVOURABLE OUTCOMES
# TOTAL OUTCOMES
Complementary events
Opposite
When rolling a dies
P (3) = 1/6
P (not rolling a 3) = 5/6
P (3 or not 3) =1/6 + 5/6
= 1
P (E’) – means probability of an event will not occur.
TERM 2 WEEK 1
ReplyDeleteIn school this week we have started doing geometry.
ReplyDeleteReasoning in Geometry:
Adjacent Angles - They have a common arm
- They have a common vertex
- Next to eachother
Complementary Angles - add up to 90 degrees
- C for corner
Supplementary Angles - add up to 180 degrees
- S for straight
In geometry dont forget to give your REASON!
Example:
x = 30 + 25 ( Adjacent Angles)
= 55 degrees
Y = 90 - 50 ( Complementary Angles)
= 40 degrees
Z = 180 - 130 ( Supplementary Angles)
= 50 degrees
Angles at a point:
Reveloution
Angles at a point add up to 360 degrees
Example:
a + b + c + d = 360 degrees
Vertically opposite angles:
Angles opposite eachother are equal and are called vertically opposite.
When two straight lines intersect they make 4 angles.
Vertically opposite angles are equal.
Examples:
x = 360 - 230 ( Angles at a point)( Reveloution)
= 130 degrees
Z = 360 - (140 + 90) ( Angles at a point)
= 130 degree
P = 128 degrees ( vertically opposite)
Angles and Parallel lines:
Parallel lines - are lines that will never meet
A transversal - is a line that crosses between two or more other lines.
ll means parallel to
Arrows along 2 lines means they are parallel
There are 3 types of angles on parallel lines:
Alternate Angles - make a Z shape
- Are equal
x = 50 degrees (alternate agles on parallel lines)
Correspnding Angles - make a F shape
- Are equal
Z = 40 degrees ( corresponding angles on parallel lines)
Cointerior angles - make a C shape
- add up to 180 degrees ( are supplementary)
Y = 180 - 130 ( coininterior angles on parellel lines)
= 50 degrees
This comment has been removed by the author.
ReplyDeleteTerm 2 week 2
ReplyDeleteThis week in maths we have stil been doign geometry.
ReplyDelete