intro to speed time graphs for igsce maths - PowerPoint PPT Presentation

Title: intro to speed time graphs for igsce maths


1
do you formulae for area of
m/s
40
triangle
rectangle
25
speed
trapezium etc.
can you use these to find distance
can you find distance covered
10
25
t
0
given a speed time travel graph
time(hrs)
you have problems
forgotten
you want to revise
its your first time
dont worry
lets dive into the details
2
igsce Maths
neat and beautiful maths
finding distance on a speed / velocity time graph
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maveneka L. T. 2022
3
in this lesson
we do a revision exercise on finding area of
triangle
rectangle
trapezium etc.
we see how to split a shape into smaller ones
we do an exercise on splitting shapes
4
finding distance on a velocity/ speed time graph
distance area under the graph
do you know the formulae for area for different
shapes?
lets find out
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exercise
write down the formula for the area of
a. rectangle
b. square
c. triangle
d. trapezium
e. circle
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answers
exercise
write down the formula for the area of
a. rectangle
a. rectangle
b. square
b. square
c. triangle
or
c. triangle
d. trapezium
d. trapezium
e. circle
e. circle
how many did you get correct?
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splitting a shape
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splitting a shape
m/s
40
in order to find area of shape
we can split a shape into smaller ones
25
in some cases there are many ways of splitting
shape
speed
lets split the shape on the right
10
25
t
0
time(hrs)
graphs
9
splitting a shape
m/s
40
in order to find area of shape
triangle
we can split a shape into smaller ones
25
in some cases there are many ways of splitting
shape
speed
trapezium
lets split the shape on the right
we can split into
10
25
30
0
a triangle and a trapezium
time(s)
graphs
10
splitting a shape
m/s
40
in order to find area of shape
we can split a shape into smaller ones
25
in some cases there are many ways of splitting
shape
speed
trapezium 1
trapezium 2
lets split the shape on the right
we can split into
10
25
30
0
two trapezia
time(s)
graphs
11
splitting a shape
m/s
40
in order to find area of shape
we can split a shape into smaller ones
25
in some cases there are many ways of splitting
shape
speed
triangle
trapezium
rectangle
lets split the shape on the right
we can split into
10
25
30
0
a triangle a rectangle and a trapezium
time(s)
graphs
12
splitting a shape
m/s
40
in order to find area of shape
triangle 1
we can split a shape into smaller ones
25
in some cases there are many ways of splitting
shape
speed
triangle 2
rectangle
lets split the shape on the right
we can split into
10
25
30
0
two triangles and a rectangle
time(s)
etc.
for finding area the few the better
graphs
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exercises
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split the shape
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splitting shape
shape can be split in many ways
total area is obtained by adding areas of
individual shapes
example 1 split
distance
total area

area of triangle 1

area of rectangle

area of triangle 2

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splitting shape
shape can be split in many ways
total area is obtained by adding areas of
individual shapes
example 2 split
distance
total area


area of triangle
area of trapezium

the fewer the shapes
the better
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exercises
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exercise
split the shape
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exercise
split the shape
solution
lets split the shape
total area of shape
area of trapezium 1
area of trapezium 2
area of triangle

20
in this lesson
we did a revision exercise on finding area of
triangle
rectangle
trapezium etc.
we saw how to split a shape into smaller ones
we did an exercise on splitting shapes