Unit Rates for Grade 7
Understanding rates and ratios Making comparisons in everyday life Building problem-solving skills
What is a Rate?
A rate compares two different quantities Examples: miles per hour, cost per item Always has two different units Shows how one quantity changes with another
What is a Unit Rate?
A rate where the second quantity equals 1 Examples: $3 per 1 apple, 25 miles per 1 hour Makes comparisons easier The 'per' word signals a unit rate
Finding Unit Rates
Given: 6 pencils cost $3 Find: Cost per 1 pencil Method: Divide $3 ÷ 6 pencils Answer: $0.50 per pencil
Rate vs Unit Rate Examples
{"left":"120 miles in 3 hours\n40 miles per hour\n15 cookies for 5 students","right":"3 cookies per student\n$8 for 4 notebooks\n$2 per notebook"}
Steps to Find Unit Rates
Step 1: Identify the two quantities Step 2: Write as a fraction Step 3: Divide to get 1 in denominator Step 4: Include proper units in your answer
Practice Problem
Sarah runs 12 miles in 4 hours What is her unit rate? Set up: 12 miles ÷ 4 hours Answer: 3 miles per hour
Think About It
Which is the better deal? Store A: 3 bags of chips for $6 Store B: 5 bags of chips for $12 How can unit rates help you decide?
Real-World Applications
Comparing gas prices per gallon Finding best deals while shopping Calculating speed for travel time Determining recipe ingredient amounts
Summary and Next Steps
Unit rates help us compare quantities Always divide to get 1 in the denominator Include units in your final answer Practice with homework problems