# Applied Algebra   # Units of Study ### Unit 1: Foundations for Algebra (Algebra 1 Chapter 1)

Big Ideas:

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

• Properties - Essential Question: How are properties related to algebra? ### Unit 2: Solving Equations (Algebra 1 Chapter 2)

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? ### Unit 3: Tools of Geometry (Geometry Chapter 1)

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? ### Unit 4: Solving Inequalities (Algebra 1 Chapter 3)

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? ### Unit 5: Reasoning and Proof (Geometry Chapter 2)

Big Ideas:

• Reasoning and Proof - Essential Question: How can you make a conjecture and prove that it is true? ### Unit 6: An Introduction to Functions (Algebra 1 Chapter 4)

Big Ideas:

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

• Modeling - Essential Question: Can functions describe real-world situations? ### Unit 7: Parallel and Perpendicular Lines (Geometry Chapter 3)

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? ### Unit 8: Linear Functions (Algebra 1 Chapter 5)

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? ### Unit 9: Congruent Triangles (Geometry Chapter 4)

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? ### Unit 10: Data Analysis and Probability (Algebra 1 Chapter 12)

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?

# Wall of Wisdom 