Unit Rates and Proportionality Concepts

This video tutorial covers seventh-grade math concepts, focusing on using equations to solve problems. It begins with a warm-up exercise on writing equations, followed by an explanation of constant proportionality using tables. The lesson includes a number talk to practice mental math and ordering quotients. Students then apply these skills to solve a problem about ticket sales and unit rates. The tutorial also explores creating equations for recycling aluminum cans. The session concludes with a lesson summary and a cooldown exercise.

What is the constant of proportionality if x changes to y by multiplying by 3?

• 1

• 10

• 3

• 0.33

In the mental math exercise, which quotient is the smallest?

• 42.6 divided by 70

• 42.6 divided by 0.07

• 426 divided by 70

• 42.6 divided by 0.7

How do you find the unit rate when given a total amount and number of items?

• Multiply the total by the number of items

• Subtract the number of items from the total

• Divide the total by the number of items

• Add the total to the number of items

What equation represents the relationship between the number of tickets (x) and the total sales (m) if each ticket costs $62.20?

• m = x / 62.2

• m = 62.2 * x

• m = 62.2 - x

• m = 62.2 + x

If 10 aluminum cans weigh 0.16 kg, what is the weight of one can?

• 0.016 kg

• 0.0016 kg

• 1.6 kg

• 0.16 kg

What is the recycled value of one aluminum can if 10 cans are worth 14 cents?

• 1.4 cents

• 0.14 cents

• 14 cents

• 0.014 cents

How many servings of granola should Elena eat to consume 175 calories?

• 3 servings

• 1 serving

• 0.5 servings

• 2 servings

What is the equation to convert feet to miles if there are 5,280 feet in a mile?

• f = m * 5280

• f = 5280 / m

• f = m / 5280

• f = 5280 * m

If Denali is 20,310 feet above sea level, how many miles is that approximately?

• 3.85 miles

• 6.85 miles

• 4.85 miles

• 5.85 miles

What is the constant of proportionality if 5 servings of granola have 1750 calories?

• 350

• 450

• 250

• 550