Lesson 2: Solving Equations

Print Lesson 1: Linear Programming and follow along with our lesson content guide.

Linear Programming Unit Record Keeping

When you see this icon, check in with your instructor before continuing.

  • Determine the optimization, minimum or maximum, for a linear programming graph using the objective function.
  • Relate three-dimensional figures to their cross-sections and nets
  • Apply formulas to surface area and volume problems for three-dimensional figures
  • Solve and apply the Pythagorean Theorem to problems

Have you ever wondered how a bakery knows how many cookies to make to maximize profits? Or a retailer knows how many sneakers to stock? How does a lumber manufacturer minimize fuel usage while maximizing the amount of product that is shipped? Determining the answer to these questions uses linear programming.

Warm Up

In your lesson pages, complete the Warm Up.

The Warm Up often includes a review related to or important to your understanding of the lesson content. It’s a great way to prepare your mind for what you are about to learn. The Warm Up should take less than five minutes to complete.

Solutions

Explore

  • In your lesson pages, find the Explore section with the same title.
  • Watch the videos, completing the guided notes and examples as you go.
  • Complete the Checkpoint.

Optimization

Graphing for Linear Programming

Applications of Linear Programming


Practice

Practice 1

Now that you’re finished exploring, it’s time to apply and practice what you have learned.

  • Find Practice 1 in your lesson pages.
  • Complete the problems on a separate sheet of paper so that you have plenty of room to work through them. Show your work.

Check in with your instructor after completing Practice 1.


Practice 2

Do you need more practice? You and your instructor can decide if you would benefit from more practice based on how you feel after Practice 1 and/or the Mastery Check.

  • Find Practice 2 in your lesson pages.
  • Complete the problems on a separate sheet of paper so that you have plenty of room to work through them. Show your work.

Check in with your instructor after completing Practice 2.

Solutions

Mastery Check

The Mastery Check is a problem or series of problems and questions that help determine if you have mastered the concepts of the lesson.

You can use the provided rubric to self-evaluate your work. This is the same rubric your instructor uses to confirm mastery.

  • In your lesson pages, complete the Mastery Check. Show your work.
  • Self-evaluate your work using the Mastery Check Rubric.
Mastery Check Rubric

Check in with your instructor for a Mastery Check evaluation.


Solutions

Targeted Review

  • Find the Targeted Review in your lesson pages.
  • Complete the problems on a separate sheet of paper so that you have plenty of room to work through them. Show your work.

Check in with your instructor after completing the Targeted Review.

Solutions