Lesson Plan: Understanding Unit Rate
Subject: Mathematics
Grade Level: 6
Duration: 30 Minutes
Topic: Unit Rate
Lesson Objectives
By the end of this lesson, students will be able to:
- Define unit rate.
- Calculate unit rates from given scenarios.
- Apply unit rates to solve real-world problems.
Materials Needed
- Whiteboard and markers
- Handouts with practice problems
- Calculator (optional)
- Real-world examples (e.g., price per item, speed)
Lesson Outline
Introduction (5 minutes)
- Begin with a brief discussion on rates and where we encounter them in daily life (e.g., speed, price.)
- Define unit rate: the quantity of one item compared to one unit of another item (e.g., miles per hour, cost per item).
Direct Instruction (10 minutes)
- Example 1: If you buy 3 pounds of apples for $6, what is the cost per pound?
- Calculation:
- Unit rate = Total cost ÷ Number of pounds
- $6 ÷ 3 pounds = $2 per pound
- Example 2: If a car travels 150 miles in 3 hours, what is the speed in miles per hour?
- Calculation:
- Unit rate = Total distance ÷ Total time
- 150 miles ÷ 3 hours = 50 miles per hour
- Ask several questions to reinforce the concept:
- What if a gallon of juice costs $4.50? What is the unit rate?
- If a cyclist rides 180 miles in 6 hours, what is their speed?
Guided Practice (10 minutes)
- Hand out practice problems (see homework section) for students to solve in pairs.
- Walk around to provide support and ensure understanding.
- Review answers with the class, encouraging students to explain their reasoning.
Independent Practice (5 minutes)
- Have students complete a couple of problems independently, similar to those discussed in class.
- Collect responses for assessment.
Assessment
Formative Assessment
- Observation during guided practice.
- Review of independent practice problems.
Summative Assessment
- Homework correct answers provided below.
Homework Assignment
Instructions: Solve the following unit rate problems and provide your answer with explanation.
- Sarah buys 4 packs of gum for $8. What is the price per pack?
- If a train travels 600 miles in 10 hours, what is the speed of the train in miles per hour?
- A recipe calls for 2 cups of flour to make 12 cookies. How much flour is needed to make 1 cookie?
Homework Answers
-
Price per pack:
Unit rate = Total cost ÷ Number of packs
$8 ÷ 4 packs = $2 per pack
-
Speed of the train:
Unit rate = Total distance ÷ Total time
600 miles ÷ 10 hours = 60 miles per hour
-
Flour per cookie:
Unit rate = Total cups of flour ÷ Number of cookies
2 cups ÷ 12 cookies = 1/6 cup per cookie
Conclusion (Optional)
- Recap the lesson by emphasizing the importance of understanding unit rates in everyday life.
- Encourage students to look for unit rates in their daily activities and share their examples of unit rates in future classes.
Additional Notes
- Be aware of different learning styles and adjust the lesson as needed for students who might require additional support.
- Encourage students to discuss real-world applications of unit rates further.