MMA Syllabus

Syllabus

 

Mathematical Models with Applications

Fall 2018- Spring 2019

Elliud Hernandez Rm.408 Ext. 1181

 

Tutoring Times: Monday & Wednesday 4:15 p.m. – 4:45 p.m.

 

Course Description:

This course is designed to teach students to be successful mathematical problem solvers. It is a continuation of algebraic and geometric concepts developed in Algebra I and Geometry. Projects are going to be used to cover each specific topic.

 

Course Objective:

Students will interpret attributes of functions and their inverses. Students will evaluate the effectiveness of various methods used to solve quadratic and square root equations. Students will apply exponential and logarithmic equations to real life application problems.

 

Grading Policy:        

                                                           

60% Major Assignments (Exams)                                                                  

40% Minor Assignments (Daily Classwork, Homework & Quizzes)

**see district grading policy for specifications**

 

Required Materials:             

                                   

  • Binder
  • Composition Book
  • Pencils/Pens

 

Expectations:

 

  • Be on time and be prepared.
  • Bring all materials to class.
  • Be prepared and ready to work as soon as the bell rings.
  • Sit quietly and be attentive while the teacher is addressing the class.
  • Stay in your seat during class time and raise your hand to be recognized.
  • Turn in assignments on time (no late work will be accepted).
  • Ask for any missed work due to an excused absence.
    • If absent during test day, you will be able to take the test before or after school only.
  • Follow all school rules at all times.
  • Stay on task until the bell rings. The teacher dismisses the class, not the bell.
  • Take notes every day and keep a neat and well organized binder.
  • There will be no food or drinks allowed in class.

 

 

Chapter 1 – Introduction to Problem Solving and Mathematical Models

·         Activity 1-1 The Bookstore

·         Activity 1-2 The Classroom

·         Activity 1-3 Make Me an Offer

·         Activity 1-4 Proportional Reasoning and Scaling

·         Activity 1-5 Fuel Economy

·         Activity 1-6 Hot in Texas

·         Activity 1-7 Fill’er Up

·         Activity 1-8 Mathematical Model

·         Activity 1-9 Fund-Raiser Revisited

·         Activity 1-10 Leasing a Copier

·         Activity 1-11 Comparing Energy Costs

·         Activity 1-12 Summer Job Opportunit6ies

·         Activity 1-13 Graphs Tell Stories

 

Chapter 2 – Problem Solving with Probability and Statistical Models

·         Activity 2-1 Visualizing Trends

·         Activity 2-2 Bald Eagle Population

·         Activity 2-3 Texas Demographics

·         Activity 2-4 The Class Survey

·         Activity 2-5 Class Survey Continued

·         Activity 2-6 A Switch Decision

·         Activity 2-7 Sampling a Population

·         Activity 2-8 Highway Proposal: Yes or No?

·         Activity 2-9 Statistical Survey

·         Activity 2-10 What’s the Cause?

·         Activity 2-11 Chances Are!

·         Activity 2-12 Choices

·         Activity 2-13 Experimenting with Propbability

·         Activity 2-14 Selecting and Rearranging Things

·         Activity 2-15 How Many Boys (or Girls)?

·         Activity 2-16 What is Normal?

 

Chapter 4 – Problem Solving with Quadratic and Variation Function Models

·         Activity 4-1 Adding and Subtracting Matrices

·         Activity 4-2 Matrix Multiplication

·         Activity 4-3 Determinants and Inverses

·         Activity 4-4 Systems and Matrices

·         Activity 4-5 Ups and Downs

·         Activity 4-6 Heat Index

·         Activity 4-7 A Thunderstorm

·         Activity 4-8 Diving Under Pressure, or Don’t Hold Your Breath

·         Activity 4-9 Loudness of a Sound

·         Activity 4-10 Traffic Flow

 

Chapter 5 – Problem Solving with Financial Models

·         Activity 5-1 Income and Expenses

·         Activity 5-2 Banking Options

·         Activity 5-3 Time is Money

·         Activity 5-4 Saving for Retirement

·         Activity 5-5 Buy or Lease?

·         Activity 5-6 Home Sweet Home

·         Activity 5-7 Renting Versus Buying a House

·         Activity 5-8 Buy Now, Pay Later

·         Activity 5-9 Insuring the Future

·         Activity 5-10 The Stock Market

·         Activity 5-11Which is the Best Option?

 

 

 

Chapter 6 – Modeling Solving with Exponential and Trigonometric Functions

·         Activity 6-1 Going Shopping

·         Activity 6-2 Take An Additional 20% Off

·         Activity 6-3 Inflation

·         Activity 6-4 The Summer Job

·         Activity 6-5 National Debt

·         Activity 6-6 Counting on Texas

·         Activity 6-7 Bird Flu

·         Activity 6-8 How Big Is That Angle?

·         Activity 6-9 How about Pythagoras?

·         Activity 6-10 The Leaning Tower of Pisa

·         Activity 6-11 A Gasoline Problem

·         Activity 6-12 The Sidewalks of New York

·         Activity 6-13 Learn Trig or Crash!

·         Activity 6-14 Alternative Current

·         Activity 6-15 Get in Shape

·         Activity 6-16 Texas Temperatures

·         Activity 6-17 Music and Harmony

 

Chapter 7 – Using Geometric Models to Solve Problems

·         Activity 7-1 Walking Around Bases, Gardens, Trusses, and Other Figures

·         Activity 7-2 Long-Distance Biking

·         Activity 7-3 Walking Around, Revisited

·         Activity 7-4 How Big is That Circle?

·         Activity 7-5 A New Pool and Other Home Improvements

·         Activity 7-6 Not Exactly the Same

·         Activity 7-7 Tessellations

·         Activity 7-8 Painting Your Way Through Summer

·         Activity 7-9 Truth in Labeling

·         Activity 7-10 Analyzing and Ice Cream Cone

·         Activity 7-11 Summertime

·         Activity 7-12 Math In Art

 

This is a tentative syllabus.  It is subject to change.