Applied Algebra

Units of Study

Big Ideas:

  • Variable - Essential Question: How can you represent quantities, patterns, and relationships?

  • Properties - Essential Question: How are properties related to algebra?

Big Ideas:

  • Equivalence - Essential Question: Can equations that appear to be different be equivalent?

  • Solving Equations and Inequalities - Essential Question: How can you solve equations?

  • Proportionality - Essential Question: What kinds of relationships can proportions represent?

Big Ideas:

  • Visualization - Essential Question: How can you represent a three-dimensional figure with a two-dimensional drawing?

  • Reasoning - Essential Question: What are the building blocks of geometry?

  • Measurement - Essential Question: How can you describe the attributes of a segment or angle?

Big Ideas:

  • Variable- Essential Question: How do you represent relationships between quantities that are not equal?

  • Equivalence - Can inequalities that appear to be different be equivalent?

  • Solving Equations and Inequalities- Essential Question: How can you solve inequalities?

Big Ideas:

  • Reasoning and Proof - Essential Question: How can you make a conjecture and prove that it is true?

Big Ideas:

  • Functions - Essential Question: How can you represent and describe functions?

  • Modeling - Essential Question: Can functions describe real-world situations?

Big Ideas:

  • Reasoning and Proof - Essential Question: How do you prove that two lines are parallel?

  • Measurement - Essential Question: What is the sum of the measures of angles of a triangle?

  • Coordinate Geometry - Essential Question: How do you write an equation of a line in the coordinate plane?

Big Ideas:

  • Proportionality - Essential Question: What does the slope of a line indicate about the line?

  • Functions - Essential Question: What information does the equation of a line give you?

  • Modeling - Essential Question: How can you make predictions based on a scatter plot?

Big Ideas:

  • Visualization - Essential Question: How do you identify corresponding parts of congruent triangles?

  • Reasoning and Proof - Essential Question: How do you show that two triangles are congruent?

  • Reasoning and Proof - Essential Question: How can you tell whether a triangle is isosceles or equilateral?

Big Ideas:

  • Data Collection and Analysis - Essential Question: How can collecting and analyzing data help you make decisions or predictions?

  • Data Representation - Essential Question: How can you make and interpret different representations of data?

  • Probability - Essential Question: How is probability related to real-world events?

Remind Stream

Wall of Wisdom