Enduring Understanding

 

The student will understand:

  • Algebra is used when surveying highways to decide the speed limits based on traffic and length of the highway to ensure safety.
  • Investigators use Algebra to solve crimes with equations that can recreate accident scenes.
  • Scientist use Algebra when observing exponential decay and growth of bacteria, along with many other applications used by all fields of science.
  • Algebra can be used to analyze a quantity changes over a period of time.
  • Using quadratic equations (polynomials) you will understand how to simulate arches.

 

 

Essential Questions

 

  • How do functions of linear equations allow you to analyze real-world situations over time?
  • How can systems of equations be used to accurately predict future events?
  • How can linear inequalities allow you to find a range for an event?
  • How can equations apply to life?

 

 

Additional Resources Needed


  • Pencil
  • Notebook
  • Scratch Paper.

 

Content Topics

 

Unit 1

Sequences

 

Unit 2

Linear Functions

 

Unit 3

Analyzing Linear Functions

 

Unit 4

Systems of Equations

 

Unit 5

Polynomials

 

Unit 6

Linear Inequalities

 

 

Key Skills

 

  • Master the ability to write variable expressions.
  • Mastery of plotting points on a coordinate plane.
  • Mastery of solving linear equations.
  • Master the ability to solve equations using the order of operations.

       

       

Assessments

 

  • Tests & Quizzes
  • Projects
  • Virtual Manipulative (Video, practice games, hands-on)
  • Key Points (notes)Practice Worksheet

 

 

Standards Alignment:


PA State Standards:

M11.D.3.2.1: Apply the formula for the slope of a line to solve problems.

M11.D.3.2.3: Compute the slope and/or y-intercept represented by a linear equation or graph

M11.D.3.2.2: Given the graph of the line, 2 points on the line, or slope and a point on a line, write or identify the linear equation in point slope, standard and/or slope-intercept form.

M11.D.2.1.1: Solve compound inequalities and/or graph their solution sets on a number line.

M11.D.2.1.2: Identify or graph functions, linear equations or linear inequalities on a coordinate plane.

M11.D.2.1.4: Write and/or solve systems of equations using graphing, substitution and/or elimination.

M11.D.2.1.5: Solve quadratic equations using factoring.

M11.D.2.2.2: Factor algebraic expressions, including difference of squares and trinomials.

M11.D.2.2.3: Simplify algebraic fractions.