RISE Mini-Lessons help students develop an interest in math by providing the opportunity to explore career possibilities and experience how math plays a vital role in the world around them. Imagine your students engaging in discourse that advances their mathematical abilities while promoting a positive and expanded outlook on how math is an integral part of a variety of career fields.
MATHEMATICS Grade Level: 7
Government & Public Administration/Relations: Transportation Inspectors
MATHEMATICS Grade Level: 7
Government & Public Administration/Relations: Transportation Inspectors
MATHEMATICS Grade Level: 7
Bus Route Stopping Point Description: In this mini-lesson, you will work as a transportation inspector analyzing on-time performance of a bus route.
Government & Public Administration/Relations: Transportation Inspectors
MATHEMATICS Grade Level: 7
Government & Public Administration/ Relations Launch
MATHEMATICS Grade Level: 7
Bus Route Stopping Point Learning Goal: ● I can solve real-world problems using expressions and equations. Essential Question: ● How can I use expressions and equations to solve problems related to careers?
Government & Public Administration/Relations: Transportation Inspectors
MATHEMATICS Grade Level: 7
Bus Route Stopping Point
You are a transportation inspector working for a small city that started a bus route three months ago using a 15-passenger van. If the average ridership (the average number of passengers at any one time) drops below seven, the city may stop the service. As you analyze the data, you notice a possible proportional relationship between the average ridership and the on-time percentage (the percentage of the time the bus arrive at stops within 10 minutes of schedule). At 96% on-time, ridership is 12.3 passengers. At 72% on-time, it’s 9.2.
What is the problem about?
Government & Public Administration/Relations: Transportation Inspectors
MATHEMATICS Grade Level: 7
What is a transportation inspector? In this mini-lesson, you will explore the career of a transportation inspector. Look at the information about this career.
53-6051.00 - Transportation Inspectors (onetonline.org)
In your journal, record any information you want to remember about this career and answer the following questions:
● What surprised you about this career? ● What are some areas you would need to strengthen if this became your career?
Government & Public Administration/Relations: Transportation Inspectors
MATHEMATICS Grade Level: 7
Bus Route Stopping Point
You are a transportation inspector working for a small city that started a bus route three months ago using a 15-passenger van. If the average ridership (the average number of passengers at any one time) drops below seven, the city may stop the service. As you analyze the data, you notice a possible proportional relationship between the average ridership and the on-time percentage (the percentage of the time the bus arrives at stops within 10 minutes of schedule). At 96% on-time, ridership is 12.3 passengers. At 72% on-time, it’s 9.2.
What are the quantities in the problem?
Government & Public Administration/Relations: Transportation Inspectors
MATHEMATICS Grade Level: 7
Bus Route Stopping Point
You are a transportation inspector working for a small city that started a bus route three months ago using a 15-passenger van. If the average ridership (the average number of passengers at any one time) drops below seven, the city may stop the service. As you analyze the data, you notice a possible proportional relationship between the average ridership and the on-time percentage (the percentage of the time the bus arrives at stops within 10 minutes of schedule). At 96% on-time, ridership is 12.3 passengers. At 72% on-time, it’s 9.2. 1. What is the minimum on-time percentage needed to keep the bus service running?
Government & Public Administration/Relations: Transportation Inspectors
MATHEMATICS Grade Level: 7
Bus Route Stopping Point: The Math What math concepts could you use to solve this problem? ● unit rates with fractions ● proportional relationships, including percent increase/decrease ● comparing proportions ● adding, subtracting, multiplying, and dividing rational numbers ● writing fractions as decimals that repeat or terminate ● solving two-step equations ● solving inequalities ● scale drawings ● circles ● area, volume, and surface area ● angles (vertical, supplementary, complementary) ● samples and populations ● probability
Government & Public Administration/Relations: Transportation Inspectors
MATHEMATICS Grade Level: 7
Explore
MATHEMATICS Grade Level: 7
Bus Route Stopping Point
You are a transportation inspector working for a small city that started a bus route three months ago
using a 15-passenger van. If the average ridership (the average number of passengers at any one time) drops below seven, the city may stop the service. As you analyze the data, you notice a possible proportional relationship between the average ridership and the on-time percentage (the percentage of the time the bus arrives at stops within 10 minutes of schedule). At 96% on-time, ridership is 12.3 passengers. At 72% on-time, it’s 9.2.
1. What is the minimum on-time percentage needed to keep the bus service running?
Government & Public Administration/Relations: Transportation Inspectors
MATHEMATICS Grade Level: 7
Discuss
MATHEMATICS Grade Level: 7
Bus Route Stopping Point: Reflection
The next slides show how two students solved this problem. Examine each student’s work, and then answer any questions about the responses.
Government & Public Administration/Relations: Transportation Inspectors
MATHEMATICS Grade Level: 7
1. What is the minimum on-time percentage needed to keep the bus service running? Evan’s Work
Government & Public Administration/Relations: Transportation Inspectors
MATHEMATICS Grade Level: 7
Briana’s Work
1. What is the minimum on-time percentage needed to keep the bus service running?
Government & Public Administration/Relations: Transportation Inspectors
MATHEMATICS Grade Level: 7
Check for Understanding
MATHEMATICS Grade Level: 7
Check for Understanding How can an equation and a graph be used to answer the same question?
Government & Public Administration/Relations: Transportation Inspectors
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