Proportional Relationships and Unit Rates

Mrs. Zia's lesson focuses on understanding proportional relationships involving fractions through graphs. The lesson includes two examples: a 10k race and a gourmet cooking scenario. Students learn to create tables, calculate unit rates, and graph data to visualize proportional relationships. The lesson emphasizes the advantage of using graphs to see values between integers and models equations to represent data.

What is the main focus of the lesson introduced by Mrs. Zia?

• Equations of graphs of proportional relationships involving fractions

• Understanding algebraic expressions

• Solving quadratic equations

• Learning about geometric shapes

How long did it take Sam's mother to complete her previous 5k race?

• 1 hour

• 1 and 1/2 hours

• 2 hours

• 2 and 1/2 hours

What is the unit rate of Sam's mother's running speed?

• 10 km per hour

• 2 km per hour

• 3 and 1/3 km per hour

• 5 km per hour

What does the ordered pair (2, 6 and 2/3) represent in the context of Sam's mother's race?

• 2 hours and 6 and 2/3 km run

• 6 and 2/3 km and 2 hours run

• 2 km and 6 and 2/3 hours

• 6 and 2/3 hours and 2 km run

What is the equation that models the data from Sam's mother's race?

• y = 2x

• y = 3 and 1/3 x

• y = 10x

• y = 5x

In the context of the mushroom example, what is the unit rate in cost per pound?

• $10 per pound

• $8 per pound

• $6 per pound

• $5 per pound

What does the ordered pair (2, 16) mean in the mushroom example?

• 16 pounds of mushrooms cost $2

• 2 pounds of mushrooms cost $16

• 16 pounds of mushrooms cost $8

• 2 pounds of mushrooms cost $8

If you have $10, how many pounds of mushrooms can you buy?

• 1 pound

• 1.25 pounds

• 2.5 pounds

• 2 pounds

What would be the cost for 30 pounds of mushrooms?

• $180

• $200

• $240

• $300

What is one advantage of graphing proportional relationships involving fractions?

• It eliminates the need for calculations

• It provides a visual display of all values, including those between integers

• It only shows whole number values

• It simplifies complex equations