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Ratios and Proportions
Definitions
• A proportion is two ratios that are
equivalent
• A ratio is a comparison of two items
• Equivalent means equal
How do you write equivalent ratios?
102
1
=
48
9
24
=
To check if 2 ratios are
proportional…you can use cross
products or cross multiplying
5
2
10
4
=
Is 2 x 10 equal to 4 x 5?
If yes, you have a proportion!
You try it! Is this a proportion?
8
6
12
9
=
You can also use “scale factor” to
see if two ratios form a proportion
8
3
24
9
=
x 3 =
x 3 =
Since 3 x 3 = 9 and 8 x 3 = 24, these
ratios do form a proportion! 3 is called
the “scale factor”.
You Try it! Is this a proportion?
10
7
15
14
=
You Try it! Is this a proportion?
5
12
15
36
=
Homework:
P. 240 #1-9 all; 10-28 evens
Copy the proportions and show your work.
Ratios and Proportions
Ratios and Proportions

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Ratios and Proportions

  • 2. Definitions • A proportion is two ratios that are equivalent • A ratio is a comparison of two items • Equivalent means equal
  • 3. How do you write equivalent ratios? 102 1 = 48 9 24 =
  • 4. To check if 2 ratios are proportional…you can use cross products or cross multiplying 5 2 10 4 = Is 2 x 10 equal to 4 x 5? If yes, you have a proportion!
  • 5. You try it! Is this a proportion? 8 6 12 9 =
  • 6. You can also use “scale factor” to see if two ratios form a proportion 8 3 24 9 = x 3 = x 3 = Since 3 x 3 = 9 and 8 x 3 = 24, these ratios do form a proportion! 3 is called the “scale factor”.
  • 7. You Try it! Is this a proportion? 10 7 15 14 =
  • 8. You Try it! Is this a proportion? 5 12 15 36 =
  • 9. Homework: P. 240 #1-9 all; 10-28 evens Copy the proportions and show your work.