Review Assignment on Linear Relationships and Angle Calculations
This review assignment covers key concepts in linear relationships, graphing, and angle calculations involving parallel lines. Students are tasked with various problems that test their understanding of these mathematical principles.
Problem 1: Linear Relationships
The first problem focuses on linear proportional relationship practice problems and non-proportional relationships. Students are required to:
- Draw lines through given points
- Label graphs to represent linear relationships
- Write equations for these relationships
Example: For a linear proportional relationship, the equation is given as y = mx, where m represents the slope.
Highlight: The problem distinguishes between proportional and non-proportional relationships, emphasizing the difference in their equations.
Problem 2: Graphing and Table of Values
This section deals with graphing proportional relationships and completing a table of values. Students must:
- Use the equation y = -3x to fill in a table of values
- Graph the equation
- Sketch similar triangles on the graph to demonstrate consistent rate of change
Vocabulary: Rate of change refers to the slope of the line, which remains constant for linear relationships.
Example: The table includes x-values from -2 to 2, with corresponding y-values calculated using y = -3x.
Problem 3: Angle Calculations in Parallel Lines
The final problem involves solving unknown angles with parallel lines. Students are presented with a diagram of parallel lines intersected by a transversal and must:
- Identify relationships between angles formed by parallel lines and a transversal
- Use these relationships to solve for unknown angle measures
Definition: Parallel lines are lines in a plane that never intersect.
Highlight: This problem applies the concept that corresponding angles and alternate interior angles are congruent when parallel lines are cut by a transversal.
This comprehensive review assignment effectively combines multiple concepts, providing students with valuable practice in linear proportional relationship problems, graphing, and geometric reasoning with parallel lines.