Y9 Booster

1
Y9 Booster

• Lesson 15

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Objectives

• Use ratio notation
• Consolidate understanding of proportion
• Begin to use graphs to solve simple problems
  using direct proportion.

3
Equivalent ratios
x3
x3
x3
13
26
412


X 2.5
X 2.5
X 2.5
25
820
2050


4
Equivalent ratios M15.1
Fill in the spider diagram with equivalent ratios
612
What is the multiplier between 6 and 12?
x ?
612
Is the multiplier the same for all pairs of
numbers in your diagram?
5
Fill in the spider diagram with ratios that are
equivalent to 1015
1015
What is the multiplier between 10 and 15?
x ?
1015
Is the multiplier the same for all ratios on your
diagram?
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Proportion M15.2

• Which sets of numbers are in proportion?
• Set A 3 6
• 4 8
• 12 24
• Set B 3 9
• 4 10
• 12 18
• Set C 10 5
• 12 6
• Set D 12 18
• 4 6

Is the multiplier between the pairs of numbers
the same?
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Equivalent ratios
x3
x3
x3
13
26
412


X 2.5
X 2.5
X 2.5
25
820
2050


8
Pounds and dollars M15.3
Is this set in proportion? 60 100 3 5
21 35
Plot the values on a graph. Join up the points
and describe the graph.
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Length of spring M15.4 In an
experiment different weightsare attached to the
end of a springand the total length of the
spring ismeasured.When a 1 kg weight is
attached, the spring is 30cm long.For each
additional 1 kg weight,the spring extends a
further 5 cm.How long is the spring when 2 kg
is attached?How long is the spring when 3 kg is
attached?Complete this table showing the length
of the spring for different weights.
Draw a graph.
10
Compare the two graphs
Pounds and Dollars
Length of spring
Complete these sentences
Both graphs are ..
The pounds and dollars graph passes through (0,0)
and is therefore ..
The length of spring graph does not pass through
(0,0) and is therefore not ..
11
Travel agent Commission free 1.50 euros for 1
Bank 2 charge 1.60 euros for 1
Which is the best deal for 100?
Which deal represents direct proportion?
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Objectives how have we done?

• Use ratio notation
• Consolidate understanding of proportion
• Begin to use graphs to solve simple problems
  using direct proportion

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Thank you for your attention