Number and Number Sense, Computation and Estimation 

Measurement and Geometry 

Probability, Statistics, Patterns, Functions, and Algebra 

SOL Review Materials 




Patterns, Functions, and Algebra
Focus: Linear Relationships
The student will identify the domain, range, independent variable, or dependent variable in a given situation. 


Essential Knowledge and Skills 
 Apply the following algebraic terms appropriately: domain, range, independent variable, and dependent variable.
 Identify examples of domain, range, independent variable, and dependent variable.
 Determine the domain of a function.
 Determine the range of a function.
 Determine the independent variable of a relationship.
 Determine the dependent variable of a relationship.

Essential Understandings 
 What are the similarities and differences among the terms domain, range, independent variable and dependent variable? The value of the dependent variable changes as the independent variable changes. The domain is the set of all input values for the independent variable. The range is the set of all possible values for the dependent variable.


Vertical Articulation 
 SOL A.6  graph linear equations/linear inequalities
(in 2 variables)  a) determine slope of line
given equation of line/graph of line or two
points on line  slope as rate of change; b)
write equation of line given graph of line,
two points on line or slope & point on line

Instructional Materials 
 VDOE Enhanced Scope and Sequence Lesson: Independent and Dependent Variables (PDF)  Identifying independent and dependent variables (Word)
 WarmUp: Vocabulary Review (flipchart)
 Notes: Relations and Functions (ppt)
 Notes: Relations and Functions (flipchart)
 Notes: Relations (doc)
 Activity: Functions Foldable (doc)
 Activity: Relations Foldable (doc)
 VDOE Algebra Readiness Curriculum Companion: Investigating Patterns, Functions, and Algebra (pdf)

Real World Lessons 

Practice 
 Worksheet: Relations and Functions Practice (doc)
 Worksheet: Vocabulary (doc)
 Crossword Puzzle: Ordered Pairs and Relations (doc)

SelfAssessments 
 SOL 8.17 MiniQuiz: Domain and Range, Independent and Dependent Variables

Skills 

Videos 

Explore
Learning 
 Introduction to Functions: Determine if a relation is a function using the mapping diagram, ordered pairs, or the graph of the relation. Drag arrows from the domain to the range, type in ordered pairs, or drag points to the graph to add inputs and outputs to the relation.

Websites 

VDOE Interventions 
 VDOE Algebra Readiness Curriculum Companion: Investigating Patterns, Functions, and Algebra  The lessons focus on algebraic reasoning. Students explore the relationships found in
number patterns through arithmetic and geometric sequences using variables expressions. They use modeling to collect data, and they learn to record data so that they can see the
relationship that exists among tables, graphs, words, and equations. (pdf)

Common Core
Standards 

