Understanding Ratios and Rates

This video tutorial covers lesson 7.1 on ratios, rates, tables, and graphs from the sixth-grade Go Math textbook. It begins with an introduction to the concepts of ratios and rates, followed by an exploration of finding ratios using tables through a science experiment example. The lesson then moves on to graphing these ratios and understanding the relationship between coordinates. The video also includes examples to illustrate rates and how to graph them, such as train speed and shower water usage. Finally, guided practice is provided to apply these concepts to real-world scenarios.

If you have 3 milliliters of ammonia, how much distilled water is needed?

• 250 milliliters

• 100 milliliters

• 150 milliliters

• 200 milliliters

What is the simplified ratio of distilled water to ammonia if you have 100 milliliters of distilled water and 2 milliliters of ammonia?

• 25 to 1

• 50 to 1

• 200 to 4

• 100 to 2

How do you determine the amount of distilled water needed for 4 milliliters of ammonia using a graph?

• Subtract 4 from 200

• Divide 4 by 50

• Multiply 4 by 25

• Find the point where x is 4 and read the y-coordinate

What is the unit rate of speed for a train that travels 120 miles in 2 hours?

• 30 miles per hour

• 50 miles per hour

• 40 miles per hour

• 60 miles per hour

If a shower uses 12 gallons of water in 3 minutes, what is the rate of water usage per minute?

• 4 gallons per minute

• 5 gallons per minute

• 3 gallons per minute

• 2 gallons per minute

How many oxygen atoms are needed for 9 sulfur atoms in sulfur dioxide?

• 9 oxygen atoms

• 18 oxygen atoms

• 27 oxygen atoms

• 36 oxygen atoms

What is the equivalent ratio of 8 to 4 in its simplest form?

• 2 to 1

• 8 to 4

• 1 to 2

• 4 to 2

If you have 84 candles, how many boxes are needed if each box holds 12 candles?

• 6 boxes

• 7 boxes

• 8 boxes

• 5 boxes

What is the length of a sticker that is 2 inches wide if the ratio of length to width is 2 to 1?

• 2 inches

• 3 inches

• 5 inches

• 4 inches

How do you visually represent real-world problems involving ratios?

• By using verbal descriptions

• By drawing diagrams

• By making tables and graphs

• By writing equations