Unit 5
Ratio and Proportion
Return to Start
Presentation 1 Simplifying Ratios
Presentation 2 Simple Ratios
Presentation 3 Proportion and Ratios
Presentation 4 Map Ratios
Presentation 5 Proportional Division
Unit 5
Simplifying Ratios
You can simplify ratios in the same way as
fractions.
Example Divide both sides by a common factor
Example Simplify
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Simplifying Ratios
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Return to Start
Presentation 2 Simple Ratios
Presentation 3 Proportion and Ratios
Presentation 4 Map Ratios
Presentation 5 Proportional Division
Unit 5
Simple Ratios
A class consists of 12 girls and 20 boys.
What is the ratio of (a) girls to boys and (b)
boys to girls? Give the answer in its
simplest form.
(a) Girls to boys
(b) Boys to girls
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Simple Ratios
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Presentation 1 Simplifying Ratios
Presentation 3 Proportion and Ratios
Presentation 4 Map Ratios
Presentation 5 Proportional Division
Unit 5
Proportion and Ratio
To make a fruit drink, you mix orange juice
and pineapple juice in the ratio 5 : 8.
(a)How much pineapple juice would be
mixed with 500cm3
of orange juice?
Ratio of orange : pineapple
For every 1cm3
of orange juice you need
?? cm3
of pineapple1.61.6
To make a fruit drink, you mix orange juice
and pineapple juice in the ratio 5 : 8.
(a)How much pineapple juice would be
mixed with 500cm3
of orange juice?
Ratio of orange : pineapple
For every 500cm3
of orange, you need
?? cm3
of pineapple800800
To make a fruit drink, you mix orange juice
and pineapple juice in the ratio 5 : 8.
(b) How much orange juice would needed
with 500cm3
of pineapple juice?
Ratio of pineapple: orange
For every 1cm3
of pineapple, you need
?? cm3
of orange
??
??
0∙6250∙625
To make a fruit drink, you mix orange juice
and pineapple juice in the ratio 5 : 8.
(b) How much orange juice would needed
with 500cm3
of pineapple juice?
Ratio of pineapple: orange
For every 500cm3
of pineapple, you need
cm3
of orange??312∙5312∙5
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Proportion and Ratios
Please choose an option
Return to Start
Presentation 1 Simplifying Ratios
Presentation 2 Simple Ratios
Presentation 4 Map Ratios
Presentation 5 Proportional Division
Unit 5
Map Ratios
The CaribbeanThe Caribbean
If the map was drawn to the scale
1:10 000 000, calculate the actual distance,
in km, for a map distance of 20cm.
20cm on map ??
??
??
The actual distance between Kingston and
St Kitts is about 1450km. What is the map
distance.
??
??
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Map Ratios
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Presentation 1 Simplifying Ratios
Presentation 2 Simple Ratios
Presentation 3 Proportion and Ratios
Presentation 5 Proportional Division
Unit 5
Proportional Division
Problem Divide $70 between Marlon and
Jenni in the ratio 9:5
Solution
Divide $70 into 14 equal parts:
Marlon’s share =
Jenni’s share =
Check
??
??
?? ??
?? ??
??
?? ??
Problem Misha, Sharon and Lloyd divide
up 90 sweets in the ratio 2:7:9.
How many sweets do they each
get?
Solution
Divide $90 into 80 equal parts:
Misha:
Sharon:
Lloyd:
??
??
?? ??
?? ??
????
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Proportional Divison
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Presentation 1 Simplifying Ratios
Presentation 2 Simple Ratios
Presentation 3 Proportion and Ratios
Presentation 4 Map Ratios

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Math unit5 ratio and proportion

  • 1. Unit 5 Ratio and Proportion Return to Start Presentation 1 Simplifying Ratios Presentation 2 Simple Ratios Presentation 3 Proportion and Ratios Presentation 4 Map Ratios Presentation 5 Proportional Division
  • 3. You can simplify ratios in the same way as fractions. Example Divide both sides by a common factor Example Simplify
  • 4. You have finished viewing the presentation Simplifying Ratios Please choose an option Return to Start Presentation 2 Simple Ratios Presentation 3 Proportion and Ratios Presentation 4 Map Ratios Presentation 5 Proportional Division
  • 6. A class consists of 12 girls and 20 boys. What is the ratio of (a) girls to boys and (b) boys to girls? Give the answer in its simplest form. (a) Girls to boys (b) Boys to girls
  • 7. You have finished viewing the presentation Simple Ratios Please choose an option Return to Start Presentation 1 Simplifying Ratios Presentation 3 Proportion and Ratios Presentation 4 Map Ratios Presentation 5 Proportional Division
  • 9. To make a fruit drink, you mix orange juice and pineapple juice in the ratio 5 : 8. (a)How much pineapple juice would be mixed with 500cm3 of orange juice? Ratio of orange : pineapple For every 1cm3 of orange juice you need ?? cm3 of pineapple1.61.6
  • 10. To make a fruit drink, you mix orange juice and pineapple juice in the ratio 5 : 8. (a)How much pineapple juice would be mixed with 500cm3 of orange juice? Ratio of orange : pineapple For every 500cm3 of orange, you need ?? cm3 of pineapple800800
  • 11. To make a fruit drink, you mix orange juice and pineapple juice in the ratio 5 : 8. (b) How much orange juice would needed with 500cm3 of pineapple juice? Ratio of pineapple: orange For every 1cm3 of pineapple, you need ?? cm3 of orange ?? ?? 0∙6250∙625
  • 12. To make a fruit drink, you mix orange juice and pineapple juice in the ratio 5 : 8. (b) How much orange juice would needed with 500cm3 of pineapple juice? Ratio of pineapple: orange For every 500cm3 of pineapple, you need cm3 of orange??312∙5312∙5
  • 13. You have finished viewing the presentation Proportion and Ratios Please choose an option Return to Start Presentation 1 Simplifying Ratios Presentation 2 Simple Ratios Presentation 4 Map Ratios Presentation 5 Proportional Division
  • 16. If the map was drawn to the scale 1:10 000 000, calculate the actual distance, in km, for a map distance of 20cm. 20cm on map ?? ?? ??
  • 17. The actual distance between Kingston and St Kitts is about 1450km. What is the map distance. ?? ??
  • 18. You have finished viewing the presentation Map Ratios Please choose an option Return to Start Presentation 1 Simplifying Ratios Presentation 2 Simple Ratios Presentation 3 Proportion and Ratios Presentation 5 Proportional Division
  • 20. Problem Divide $70 between Marlon and Jenni in the ratio 9:5 Solution Divide $70 into 14 equal parts: Marlon’s share = Jenni’s share = Check ?? ?? ?? ?? ?? ?? ?? ?? ??
  • 21. Problem Misha, Sharon and Lloyd divide up 90 sweets in the ratio 2:7:9. How many sweets do they each get? Solution Divide $90 into 80 equal parts: Misha: Sharon: Lloyd: ?? ?? ?? ?? ?? ?? ????
  • 22. You have finished viewing the presentation Proportional Divison Please choose an option Return to Start Presentation 1 Simplifying Ratios Presentation 2 Simple Ratios Presentation 3 Proportion and Ratios Presentation 4 Map Ratios