Intro W3

•      Intro W3

  •  Objectives

    1. The sections for this week are:
       • 3.3 Solve Mixture Applications
       • 3.4 Solve Geometry Applications: Triangles, Rectangles, and the Pythagorean Theorem
       • 3.5 Solve Uniform Motion Applications
       • 3.6 Solve Applications with Linear Inequalities

   

   Intro and Learning Objectives (click on all tabs to see all sections)

  • 3.3
  • 3.4
  • 3.5
  • 3.6

   Learning Outcomes

  In this section, you will:

  • Solve coin word problems
  • Solve ticket and stamp word problems
  • Solve mixture word problems
  • Use the mixture model to solve investment problems using simple interest

   Intro

  In mixture problems, we will have two or more items with different values to combine together. The mixture model is used by grocers and bartenders to make sure they set fair prices for the products they sell. Many other professionals, like chemists, investment bankers, and landscapers also use the mixture model.

   Learning Outcomes

  In this section, you will:

  • Solve applications using properties of triangles
  • Use the Pythagorean Theorem
  • Solve applications using rectangle properties

   Intro

  In this section we will use some common geometry formulas. We will adapt our problem-solving strategy so that we can solve geometry applications. The geometry formula will name the variables and give us the equation to solve. In addition, since these applications will all involve shapes of some sort, most people find it helpful to draw a figure and label it with the given information. We will include this in the first step of the problem solving strategy for geometry applications.

   Learning Outcomes

  In this section, you will:

  • Solve uniform motion applications

   Intro

  When planning a road trip, it often helps to know how long it will take to reach the destination or how far to travel each day. We would use the distance, rate, and time formula, D=rt, which we have already seen.

  In this section, we will use this formula in situations that require a little more algebra to solve than the ones we saw earlier. Generally, we will be looking at comparing two scenarios, such as two vehicles travelling at different rates or in opposite directions. When the speed of each vehicle is constant, we call applications like this uniform motion problems.

  Our problem-solving strategies will still apply here, but we will add to the first step. The first step will include drawing a diagram that shows what is happening in the example. Drawing the diagram helps us understand what is happening so that we will write an appropriate equation. Then we will make a table to organize the information, like we did for the money applications.

   Learning Outcomes

  In this section, you will:

  • Solve applications with linear inequalities

   Intro

  Many real-life situations require us to solve inequalities. In fact, inequality applications are so common that we often do not even realize we are doing algebra. For example, how many gallons of gas can be put in the car for $20? Is the rent on an apartment affordable? Is there enough time before class to go get lunch, eat it, and return? How much money should each family member’s holiday gift cost without going over budget?

  The method we will use to solve applications with linear inequalities is very much like the one we used when we solved applications with equations. We will read the problem and make sure all the words are understood. Next, we will identify what we are looking for and assign a variable to represent it. We will restate the problem in one sentence to make it easy to translate into an inequality. Then, we will solve the inequality.

   Readings

  1. Text: Read the sections from Openstax book Links to an external site. (Links to an external site.)
  2. Videos: Watch all the videos from "Resources W3"

   Assignments

  • Take Notes Week 3  These are the notes for all sections we cover in Week X.          Due Friday night.
    Directions: Each section is accompanied by a Handout. Each Handout contains a few definitions, a few "How To" explanations, examples, and "Try It" exercises. Using the structure of the handout you have to write your own notes. Your notes must contain:

  • • Your name
    • The name of the section
    • Definitions and "How To" from the provided handout (this is optional, however, it will be a good idea to have the complete notes)
    • Everywhere there is a "Read Ex nr..." you have to read the example from the ebook and write in your notes : "I read the Ex nr..." . The link for the section in the ebook is provided at the bottom of the page.
    • You have to solve ALL "Try It" exercises.

  After you complete your notes you have to submit them. See Take Notes Methods. 

   

  • Video quizzes Week 3          Due Saturday night 11:59pm

  • • To learn the material for this sections, take notes while watching each video and then demonstrate what you learned by doing the exercise below it.

   

  • Homework Week  3              Due Sunday night 11:59pm. 
    
    • There are 4 Homework this week. This are online Homework but you do not have to leave Canvas. Just click on each link, answer the questions, and came back for the next section. There is no partial credit, each question is either 100% good or not. However you have unlimited attempts for each question. A 5% per day penalty applies for Late work if you'll do it until Tuesday night. After that the Homework will be open only for practice.

   

   

  THE DUE DATES FOR ASSIGNMENTS ARE FRIDAY SATURDAY AND SUNDAY. HOWEVER YOU CAN SUBMIT THEM UNTIL TUESDAY NEXT WEEK.

  A 5% per day penalty applies for Late work if you'll do it until Tuesday night. After that the Homework will be open only for practice.