Proportional Relationships and Equations

The video covers lesson five in unit two, focusing on equations and proportionality. It begins with a pattern recognition exercise, followed by an explanation of constant proportionality and related equations. The teacher then presents problems involving water flow and shrimp feeding to illustrate these concepts. The lesson concludes with a summary and instructions for assignments.

What does the first figure in the pattern look like if the second figure has two blocks?

• One block

• Three blocks

• Four blocks

• Five blocks

How do you find the constant proportionality in a table?

• Multiply the first column by the second column

• Subtract the first column from the second column

• Divide the second column by the first column

• Add the first and second columns

What is the equation for the relationship between meters and centimeters?

• x = 100y

• x = 0.01y

• y = 0.01x

• y = 100x

If it takes 5 minutes to fill a cooler with 8 gallons of water, what is the constant of proportionality when time is the first column?

• 5

• 1.6

• 8

• 0.625

What does the number 1.6 represent in the context of filling a water cooler?

• Gallons per minute

• Minutes per gallon

• Hours per gallon

• Gallons per hour

How much food does a shrimp receive each day if it is fed one-fifth of a gram three times a day?

• Two grams

• One gram

• Three-fifths gram

• One-fifth gram

What is the constant proportionality when the columns in the shrimp feeding table are switched?

• One-fifth

• Two-thirds

• Five-thirds

• Three-fifths

If a tank has 10 shrimp, how much food is added to the tank each day?

• Six grams

• Three grams

• Twelve grams

• Nine grams

What is the equation for distance if Karen rides his bike at a constant rate of 10 miles per hour?

• d = 0.1t

• t = 10d

• d = 10t

• t = 0.1d

How can you express the relationship between two proportional quantities x and y?

• x = ky

• y = kx

• x = y/k

• y = x/k