UTPA STEM/CBI Courses/Algebra/Motion Problem

Course Title: Intermediate Algebra

Lecture Topic: Motion Problems

Instructor: Saul Andaverdi

Institution: UTPA

Backwards Design

Course Objectives

• Primary Objectives- By the end of the week, students will be able to:
• Identify a Motion problem
• Setup an equation to solve the work problem
• Solve a work problem

• Sub Objectives- The objectives will require that students be able to:
  • Set up real world problems involving rational equations.
  • Solve Rational Equations.

• Difficulties- Students may have difficulty:
  • Recall formula needed for motion problems Distance = (Rate)(Time)
  • Set up the rational equation

• Real-World Contexts- A variety of real world problems translate into rational equations. There are many ways students can use this material in the real-world, such as:
  • Motion Problems
  • Work Problems
  • Proportions

Model of Knowledge

• Concept Map
  • Adding rational numbers and rational expressions.
  • Finding a common denominator for rational equations.
  • Solving problems involving rational equations.
• Content Priorities
  • Enduring Understanding
    • Solving real life application problems that require rational equations.
    • Adding and Subtracting Rational equations
    • Multiplying and dividing Rational equations.
  • Important to Do and Know
    • Which operation on rational expressions require a common denominator?

• • Worth Being Familiar with
    • Formula for Distance
    • Operations with rational expressions

Assessment of Learning

• Formative Assessment
  • In Class (groups)
    • Written weekly quiz with application problems

• • Homework (individual)
    • Weekly homework assigned for practice

• Summative Assessment
  • Problems that deal with distance, speed (or rate), and time are called motion problems.
  • Written Exam that incorporates exercises and application problems.

Legacy Cycle

OBJECTIVE

By the next class period, students will be able to:

• Identify rational equations
• Set up application problems involving rational equations
• Solve Rational Equations and applications.

The objectives will require that students be able to:

THE CHALLENGE

Mary bicycles 6 miles per hour faster than John. In the same time it takes John to bicycle 30 miles, Mary can bicycle 48 miles. How fast does each bicyclist travel?

GENERATE IDEAS

How would we be able to find solutions for this type of problem.

MULTIPLE PERSPECTIVES

• Do an actual experiment.
• Do a smaller scale experiment and see if we can relate the solution to a bigger scale.

RESEARCH & REVISE Check solutions by substitution method.

TEST YOUR METTLE

What would be the best way to approach this type of problem.

GO PUBLIC

Students will work cooperatively to discuss and try to find solutions to motion problem and agree on an answer as a group while editing each others work and identify and fix misconceptions both on their own and with instructors help.

Pre-Lesson Quiz

1. What is the relationship between distance, rate, and time?
2. If you know you live 15 miles from school and you have 20 minutes to get there. What is the rate of speed in miles per hour you need to drive at get to school on time?
3. If you know you need to drive 40 miles to get to work and your average rate of speed driving there is 55 miles per hour. How long does it take you to get there?

Test Your Mettle Quiz

1. What is Distance equal to?
2. What is Rate equal to?
3. What is Time equal to?
4. If Joe travels 50 miles to work which is the same distance as Mary but Mary averages a speed of 5 miles per hour faster than Joe, How much time does it take each to get to work?