Rates and Unit Rates

What is a Rate?

A rate compares two different units.

🚗 The car drove {{ s1.distance }} miles in {{ s1.time }} hours.

Drag to plate

➔

Build the Rate

{{ s1.items.find(i => i.type === 'distance').icon }} {{ s1.items.find(i => i.type === 'distance').value }} {{ s1.items.find(i => i.type === 'distance').unit }}

Distance

{{ s1.items.find(i => i.type === 'time').icon }} {{ s1.items.find(i => i.type === 'time').value }} {{ s1.items.find(i => i.type === 'time').unit }}

Time

Find the Unit Rate

A Unit Rate has a denominator of 1.

💵

${{ s2.currentDollars }}

/

🍎

Slide to 1

1 {{ s2.startApples }}

Unit Rate: ${{ s2.unitPrice }} per 1 Apple!

Calculate by Dividing

Divide the total by the number of groups to find the unit rate.

Pile: {{ s3.pile }} Bones

🦴

🐶

🦴

Unit Rate: {{ s3.unitRate }} bones per dog!

Which is the better deal?

Find the lowest unit price.

✓

Store A

🍕

{{ s4.dealA.qty }} for ${{ s4.dealA.price }}

Unit Rate:

${{ s4.dealA.unitPrice }}/ea

Tap to choose

✓

Store B

🍕

{{ s4.dealB.qty }} for ${{ s4.dealB.price }}

Unit Rate:

${{ s4.dealB.unitPrice }}/ea

Tap to choose

Use the Unit Rate

A train travels {{ s5.rate }} miles per hour.

How far will it go in {{ s5.targetHours }} hours?

🚂

{{ (n-1) * s5.rate }} mi

Time: {{ s5.currentHours }} / {{ s5.targetHours }} Hours

🏆

Rate Master!

You've learned how to build rates, find unit rates, and use them to solve problems.

Knowledge Unlocked:

✅ Rates compare different units.
✅ Unit rates have a denominator of 1.
✅ Divide to find the unit rate.