Algebra

Course Title: Algebra
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Course Description

The algebra course uses comprehension, precision, and application skills to learn mathematical concepts/processes. The primary objective of the course is to teach students to think like mathematicians who become well-informed, problem solving citizens. Students will examine concepts covered in the Big Ideas textbook.

Power Standards

  1. Comprehend vocabulary and explain mathematical processes.
  2. Compute with precision “naked number” problems showing work step by step.
  3. Apply and interpret word problems and concepts.

Course Outline

Semester One: Solving Linear Equations, Graphing & Writing Linear Equations, Solving Linear Inequalities, Solving Systems of Linear Equations, Linear Functions, and Exponential Equations & Functions

 Guiding Questions  Learning Objectives
  • How can you discover rules in mathematics and test them?
  • How can you recognize and graph a linear equation?  
  • How can you recognize and graph an inequality?
  • How can you solve a system of linear equations and inequalities?
  • How can you recognize and represent functions and sequences?
  • How can you use inductive reasoning to observe patterns and write general rules involving properties of exponents?
  • The Real Number System
  • Quantities
  • Seeing Structure in Expressions
  • Arithmetic Rational Expressions
  • Creating Equations
  • Reasoning with Equations and Inequalities
  • Linear and Exponential Models
  • Interpreting Functions
  • Building Functions
 Summative Projects:  Unit Exams

 


 

Semester Two:  Polynomial Equations & Factoring, Graphing Quadratic Functions, Solving Quadratic Equations, Square Root Functions & Geometry, Rational Equations & Functions, and Data Analysis & Displays

 Guiding Questions Learning Objectives
  • How can you recognize and approach polynomials?
  • How can you graph and solve quadratic functions?
  • How can you graph and solve square root functions?
  • How can you use the Pythagorean Theorem to find the side lengths of a triangle?
  • How can you recognize and solve rational expressions and equations?
  • How can you collect and analyze data?
  • Seeing Structure in Expressions
  • Arithmetic with Polynomials and Rational Expressions
  • Creating Equations
  • Reasoning with Equations and Inequalities
  • Interpreting Functions
  • Building Functions
  • Linear, Quadratic, Exponential, Square Root, and Rational Models
  • The Real Number System
  • Quantities
  • Geometric Measurement and Dimension
  • Interpreting Categorical and Quantitative Data
 Summative Projects:  Unit Exams

 

 Career and Life Skills
 Social and Cross Cultural The student respects and contributes to the diverse learning community by:

  • Honoring  the ideas and opinions of others and
  • Interacting effectively and appropriately with others.
 Productivity and  Accountability The student takes ownership of work and actions  by:

  • Completing assignments on time
  • Arriving prepared and on time
  • Managing time
 Initiative and Self Direction The student demonstrates independence by:

  • Self-advocating for assistance or resources
  • Persevering through rigorous/challenging tasks
  • Utilizing feedback