Patterns, Functions, and Algebra
Focus: Linear Equations
The student will
a) write verbal expressions as algebraic expressions and sentences as equations and vice versa; and
b) evaluate algebraic expressions for given replacement values of the variables. 


Essential Knowledge and Skills 
 Write verbal expressions as algebraic expressions. Expressions will be limited to no more than 2 operations.
 Write verbal sentences as algebraic equations. Equations will contain no more than 1 variable term.
 Translate algebraic expressions and equations to verbal expressions and sentences. Expressions will be limited to no more than 2 operations.
 Identify examples of expressions and equations.
 Apply the order of operations to evaluate expressions for given replacement values of the variables. Limit the number of replacements to no more than 3 per expression.

Essential Understandings 
 How can algebraic expressions and equations be written?
Word phrases and sentences can be used to represent algebraic expressions and equations.


Vertical Articulation 
 SOL 5.7  evaluate whole number
numerical expressions using order of
operations
 SOL 6.8  evaluate whole number
expressions using order of
operations

Instructional Materials 
 VDOE Enhanced Scope and Sequence Lesson: Translate and Evaluate (PDF)  Writing and evaluating algebraic expressions (Word)
 Notes: Algebraic Expressions (flipchart)
 Notes: Expressions Introduction (flipchart)
 Graphic Organizer: Vocabulary for Algebraic Expressions (pdf)
 Notes: Writing Algebraic Expressions (ppt)
 Activity: Expressions and Equations Sort (doc)
 Activity: Expressions, Equations, and Inequalities Sort (doc)
 Activity: Expressions Bingo (doc)
 Activity: Expressions Number Cube (doc)
 Graphic Organizer: Translating Phrases (doc)
 Activity: Dice Substitution
 Activity: Translation Matching (pdf)
 VDOE Algebra Readiness Curriculum Companio: Investigating Patterns, Functions, and Algebra (pdf)

Real World Lessons 
 Mathalicious: Calories In, Calories Out  How do Resting Metabolic Rate, diet, and exercise affect body weight?
 Mathalicious: Fat Burner  What's the best way to exercise for fat burning?

Practice 
 Worksheet: Expressions, Equations and Inequalities (doc)
 Worksheet: Expressions, Equations and Inequalities #2 (doc)
 Worksheet: Expressions and Equations (doc)
 Worksheet:
Evaluating Expression by Substituting Replacement Values (doc)
 Worksheet: Writing Expressions
 Worksheet: Translating Expressions (Verbal to Algebraic) (doc)
 Quiz: Translating Expressions (Verbal to Algebraic) (doc)

SOL Mini Quiz 
 SOL 7.13 Mini Quiz: Expressions (pdf)  (doc)

Skills 
 Mathematics Assessment Project: E04:Hot Under The Collar  Expert  In this task you will compare two methods of converting temperature measurements from Celsius to Fahrenheit.

Videos 
 YouTube:
Translating words into algebraic expressions
 YouTube:
Evaluating Algebraic Expressions

Explore
Learning 
 Using Algebraic Equations: Translate equations into English sentences and translate English sentences into equations. Read the equation or sentence and select word tiles or symbol tiles to form the corresponding sentence or equation.
 Using Algebraic Expressions: Translate algebraic expressions into English phrases, and translate English phrases into algebraic expressions. Read the expression or phrase and select word tiles or symbol tiles to form the corresponding phrase or expression.

Websites 
 ClassZone: Mountain Climbing Substitution Race
 AAA Math: Evaluating a TwoVariable Expression

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. (pdf)

Common Core
Standards 
6.EE.1 
6.EE.2a 
6.EE.2b 
6.EE.2c 
7.EE.2 
