CCSS.MATH.6.RP.A.1 / TEKS 6.4.B.1✓ South Australian Dept for Education / SACE AlignedAcademic Year 2026–27
Ratios, Rates & Proportions
Formulate ratios to compare two quantities and compute unit rates ($a/b$) in real-world contexts.
Why It Matters:Essential for financial comparisons, fuel economy analysis, and culinary scaling.
Curated Video Instruction
● Verified Active EmbedSTEP-BY-STEP PROOF
Worked Example
A car travels 180 miles on 6 gallons of gas. Calculate the unit rate (miles per gallon):
1
Set up ratio of distance to fuel
180 miles / 6 gallons
Formulate the rate expression.
2
Divide numerator by denominator
180 / 6 = 30 miles per gallon
The car gets 30 miles per single gallon.
✓Verification Check
Verify by multiplying unit rate by gallons: 30 * 6.
30 * 6 = 180
•
180 = 180
⚠️ Common Pitfalls & Misconceptions
Inverting the ratio terms
✗ Calculating 6 / 180 = 0.033 miles per gallon✓ Pay careful attention to the question units: miles per gallon means miles divided by gallons
Unit order determines the denominator.
INTERACTIVE DRILLS
Guided Practice
Practice Question1 of 1
Step-by-step Feedback
If 4 apples cost $2.00, what is the unit price per apple?
MASTERY BENCHMARK
Official Assessment Quiz
Formal Assessment
Ratios, Rates & Proportions
Passing Criteria:70% or higher
Question 1 of 1
Which ratio is equivalent to 3:5?
Education to Career Navigation
Where This Lesson Leads
Financial Analysts, Data Scientists, and Chemical Process Engineers work with rates continuously.