Understanding Proportional Relationships and Units

This lesson introduces proportional relationships, focusing on two equations for each relationship. Activities include exploring patterns, converting units, and analyzing real-world scenarios like filling a water cooler and feeding shrimp. The lesson emphasizes understanding constant proportionality and its reciprocal, using practical examples to illustrate these concepts.

What is the pattern observed in the sequence of colored rectangles?

• Three blues and three yellows alternate positions.

• Two blues and two yellows alternate positions.

• Three blues and two yellows alternate positions.

• Two blues and three yellows alternate positions.

How many centimeters are there in one meter?

• 1000 centimeters

• 10 centimeters

• 50 centimeters

• 100 centimeters

What is the reciprocal of the constant of proportionality when converting meters to centimeters?

• 1/100

• 1/50

• 1/1000

• 1/10

In the water cooler activity, what is the constant of proportionality when calculating gallons per minute?

• 5/8

• 8/5

• 5/3

• 3/5

How many days will 300 grams of food last for 10 shrimp?

• 10 days

• 15 days

• 20 days

• 25 days

If 10 shrimp consume 6 grams of food per day, how many days will 300 grams of food last?

• 30 days

• 100 days

• 50 days

• 60 days

An albatross flies 400 kilometers in 8 hours. What is the constant of proportionality for distance per time?

• 40 kilometers per hour

• 25 kilometers per hour

• 50 kilometers per hour

• 100 kilometers per hour

If a concrete block weighs 28 pounds, how many blocks are there in 112 pounds?

• 3 blocks

• 5 blocks

• 4 blocks

• 2 blocks

What is the cost of 1 meter of rope if the price is 80 cents per meter?

• 90 cents

• 60 cents

• 70 cents

• 80 cents

If 1 kilometer equals 1000 meters, what is the constant of proportionality when converting meters to kilometers?

• 1/500

• 1/10

• 1/1000

• 1/100