Understanding Ratios and Proportions

This video tutorial by Jeff Jacobson introduces the concept of ratios, explaining how they compare two quantities and can be represented in three different ways: using words, colons, or fractions. The tutorial includes examples of writing ratios with coins, finding equivalent ratios using ratio tables, and a practical application involving sodium intake calculation. The video emphasizes simplifying ratios and using multiplication or division to find equivalent ratios.

What is a ratio?

• A comparison of three quantities

• A type of fraction

• A comparison of two quantities

• A mathematical operation

Which of the following is NOT a way to write a ratio?

• Using the word 'to'

• As a fraction

• Using a colon

• As a decimal

If you have 6 pennies and 7 quarters, how can you express the ratio of pennies to quarters?

• 6 to 7

• 7:6

• 7 to 6

• 6:7

How can the ratio 6 to 16 be simplified?

• 5 to 2

• 2 to 5

• 8 to 3

• 3 to 8

What is the ratio of pens to pencils if there is 1 pen for every 3 pencils?

• 3 to 2

• 2 to 3

• 3 to 1

• 1 to 3

If you have 4 dogs and 6 cats, what is the equivalent ratio when you have 8 dogs?

• 6 to 8

• 12 to 8

• 8 to 6

• 8 to 12

How can you find equivalent ratios using multiplication?

• Multiply both terms by the same number

• Multiply only the denominator

• Divide both terms by the same number

• Multiply only the numerator

If a box of crackers has 240 mg of sodium for every 36 crackers, how much sodium is in 15 crackers?

• 100 mg

• 150 mg

• 50 mg

• 200 mg

What is the greatest common factor of 240 and 36?

• 24

• 18

• 6

• 12

What should you do if you want to try more examples on your own?

• Ignore the examples

• Watch the video again

• Pause the video and try solving

• Skip to the end