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Ch 4: Common Core HS Functions - Linear Functions

About This Chapter

Allow our lessons to help you teach your high school class about linear functions and meet the standards for the Common Core. The lessons contain tips on how you can recognize when students have fully grasped the standard and how you can teach the lessons in the classroom.

Standard: Graph linear and quadratic functions and show intercepts, maxima, and minima. (CCSS.Math.Content.HSF-IF.C.7a)

Standard: Construct linear and exponential functions, including arithmetic and geometric sequences, given a graph, a description of a relationship, or two input-output pairs (include reading these from a table). (CCSS.Math.Content.HSF-LE.A.2)

Standard: Interpret the parameters in a linear or exponential function in terms of a context. (CCSS.Math.Content.HSF-LE.B.5)

Standard: Recognize situations in which one quantity changes at a constant rate per unit interval relative to another. (CCSS.Math.Content.HSF-LE.A.1b)

About This Chapter

After students have a thorough understanding of linear functions, they'll be able to create functions and sequences and find the parameters in a function. Students will also be able to use the basics of linear equations to create a graph using a standard form or slope intercept.

Lessons for the standard include such topics as:

  • What is a linear equation?
  • Standard form, intercepts and graphing linear equations
  • Abstract algebraic examples and going from a graph to a rule
  • Graphing basic functions
  • Graphing undefined slope, zero slope and more
  • Finding the equation of a line from graphs, descriptions or points
  • Interpreting the coefficients of a linear equation in context
  • Lines as models for growth
  • Real-world linear growth

You'll be able to tell when students fully comprehend linear functions when they are capable of graphing functions, locating line equations and using lines to show growth. The combination of lessons and standards can be a way for your students to prepare for higher education and several careers that employ this mathematical concept, such as computer programmer, surveyor, physicist or urban planner.

How to Use These Lessons in Your Classroom

Assign Lessons to Students

Rather than showing the lessons during class, you can assign them as homework and review the practice problems in class. By using a combination of the video lessons and your own lessons, students can get a more well-rounded education on linear functions.

Use Real Life Examples

To show students how useful linear functions are, show them how they can be used in day-to-day life or within specific situations, such as converting temperature or currencies. This will get students thinking about linear functions in new ways and might get them more excited about learning more.

Use Quizzes as Pre-Tests

To prepare students for the day's lesson, have them take the short quiz associated with the concept you'll be discussing. Have them re-take the quiz after you've taught the concept. Use the video lessons to illustrate points that might still cause some confusion.

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
Not Taken
Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
Not Taken

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