“cross multiply and divide” can be used to determine the unknown value in any proportional...
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![Page 1: “Cross Multiply and Divide” Can be used to determine the unknown value in any proportional reasoning problem For example…. Multiply these two 60 x 11 =10](https://reader036.vdocuments.us/reader036/viewer/2022082321/5697bf741a28abf838c7f6ab/html5/thumbnails/1.jpg)
“Cross Multiply and Divide”Can be used to determine the unknown value in any proportional reasoning problem
For example….
1110
=𝑎60 Multiply these two
60 x 11 = 10 x a
660 = 10 x a And now divide by 10
660 ÷ 10 = a
66 = a
![Page 2: “Cross Multiply and Divide” Can be used to determine the unknown value in any proportional reasoning problem For example…. Multiply these two 60 x 11 =10](https://reader036.vdocuments.us/reader036/viewer/2022082321/5697bf741a28abf838c7f6ab/html5/thumbnails/2.jpg)
Try these….
53=𝑛24
47=𝑚35
1821
=𝑟14
![Page 3: “Cross Multiply and Divide” Can be used to determine the unknown value in any proportional reasoning problem For example…. Multiply these two 60 x 11 =10](https://reader036.vdocuments.us/reader036/viewer/2022082321/5697bf741a28abf838c7f6ab/html5/thumbnails/3.jpg)
A recipe for salad dressing uses 60 mL of vinegar for 240 mL of oil. Emily has only 40 mL of vinegar.
How much oil should she use?
![Page 4: “Cross Multiply and Divide” Can be used to determine the unknown value in any proportional reasoning problem For example…. Multiply these two 60 x 11 =10](https://reader036.vdocuments.us/reader036/viewer/2022082321/5697bf741a28abf838c7f6ab/html5/thumbnails/4.jpg)
Lesson 3: Unit Rates
• A rate is a ratio that is used to compare different kinds of quantities
• A unit rate describes how many units of the first type of quantity equals one unit of the second type of quantity
• Some common unit rates are….– miles (or kilometers) per hour (km/h)– earnings per hour ($/h)– Can you think of any….?
![Page 5: “Cross Multiply and Divide” Can be used to determine the unknown value in any proportional reasoning problem For example…. Multiply these two 60 x 11 =10](https://reader036.vdocuments.us/reader036/viewer/2022082321/5697bf741a28abf838c7f6ab/html5/thumbnails/5.jpg)
What is the difference between a ratio and a rate?
![Page 6: “Cross Multiply and Divide” Can be used to determine the unknown value in any proportional reasoning problem For example…. Multiply these two 60 x 11 =10](https://reader036.vdocuments.us/reader036/viewer/2022082321/5697bf741a28abf838c7f6ab/html5/thumbnails/6.jpg)
RATIO
Definition Facts/Characteristics
Examples Non-Examples
![Page 7: “Cross Multiply and Divide” Can be used to determine the unknown value in any proportional reasoning problem For example…. Multiply these two 60 x 11 =10](https://reader036.vdocuments.us/reader036/viewer/2022082321/5697bf741a28abf838c7f6ab/html5/thumbnails/7.jpg)
RATE
Definition Facts/Characteristics
Examples Non-Examples
![Page 8: “Cross Multiply and Divide” Can be used to determine the unknown value in any proportional reasoning problem For example…. Multiply these two 60 x 11 =10](https://reader036.vdocuments.us/reader036/viewer/2022082321/5697bf741a28abf838c7f6ab/html5/thumbnails/8.jpg)
How can we determine the best deal?
Which box is the better deal?
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Determine the price for 100g for each box.
Which is the better buy?
![Page 10: “Cross Multiply and Divide” Can be used to determine the unknown value in any proportional reasoning problem For example…. Multiply these two 60 x 11 =10](https://reader036.vdocuments.us/reader036/viewer/2022082321/5697bf741a28abf838c7f6ab/html5/thumbnails/10.jpg)
Lesson 3: Unit Rates
Homework/Practice
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