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?