Computation and Estimation
Focus: Practical Applications of Operations with Real Numbers
The student will apply the order of operations to evaluate algebraic expressions for given replacement values of the variables. 


Essential Knowledge and Skills 
 Substitute numbers for variables in algebraic expressions and simplify the expressions by using the order of operations. Exponents are positive and limited to whole numbers less than 4. Square roots are limited to perfect squares.
 Apply the order of operations to evaluate formulas. Problems will be limited to positive exponents. Square roots may be included in the expressions but limited to perfect squares.

Essential Understandings 
 What is the role of the order of operations when evaluating expressions? Using the order of operations assures only one correct answer for an expression.


Vertical Articulation 
 SOL 6.8  evaluate whole number expressions
using order of operations
 SOL 7.13ab  a) write verbal expressions as algebraic
expressions and sentences as equations and
vice versa; b) evaluate algebraic expressions
 SOL A.1  represent verbal quantitative situations
algebraically/evaluate expressions for given
replacement values of variables

Instructional Materials 
 VDOE Enhanced Scope and Sequence Lesson: Evaluating Algebraic Expressions (PDF)  Evaluating algebraic expressions for given replacement values of the variables (Word)
 Warmup: Review 8.1/8.2 (doc)
 Notes: Evaluating Expressions (flipchart)
 Notes: Exponents (doc)
 Guided Notes: Algebraic Expressions (doc)
 Guided Notes: Variables and Expressions Practice (doc)
 Activity: Replacement Values Puzzle and Directions (pdf)
 VDOE Algebra Readiness Curriculum Companion: Using Order of Operations and Exploring Properties (pdf)

Real World Lessons 

Practice 
 Worksheet: Evaluating Algebraic Expressions (doc)
 Quiz: Replacement Values (doc)

SelfAssessments 
 SOL 8.4 MiniQuiz: Algebraic Expressions

Skills 
 Mathematics Assessment Project: E12:Bestsize Cans  Expert  In this task, you must design a cylindrical drink can that uses the least aluminum for a given volume of drink. (This task is very similar to Funsize Cans, but with less stepbystep guidance.)

Videos 
 PH Using the Order of Operations
 PH Evaluating Algebraic Expressions with Rational Numbers
 PH Evaluating Algebraic Expressions with Exponents
 Khan Academy: Examples of Evaluating Algebraic Expressions
 Virtual Nerd: What are Expressions?
 Virtual Nerd: Evaluating Expressions through Substitution

Explore
Learning 
 Order of Operations: Select and evaluate the operations in an expression following the correct order of operations.

Websites 
 Interactive Notes: Order of Operations  lessons and practice problems at Regentsprep.org
 Interactive Notes: Order of Operations  notes and workout problems at Math.com
 Interactive Notes: Evaluate Expressions  notes and workout problems at Math.com
 Game: Evaluating expressions and solving equations in a variety of different contexts

VDOE Interventions 
 VDOE Algebra Readiness Curriculum Companion: Using Order of Operations and Exploring Properties  The lessons focus on order of operations and evaluating numerical expressions. Students
will also investigate and recognize properties of real numbers used to solve an equation. (pdf)

Common Core
Standards 
