*Items measuring these SOL will be completed without the use of a calculator.
Computation and Estimation
Focus: Applications of Operations with Rational Numbers
The student will evaluate whole number numerical expressions, using the order of operations. 


Essential Knowledge and Skills 
 Simplify expressions by using the order of operations in a demonstrated stepbystep approach. The expressions should be limited to positive values and not include braces { } or absolute value  .
 Find the value of numerical expressions, using order of operations, mental mathematics, and appropriate tools. Exponents are limited to positive values.

Essential Understandings 
 What is the significance of the order of operations? The order of operations prescribes the order to use to simplify expressions containing more than one operation. It ensures that there is only one correct answer.


Vertical Articulation 
 SOL 5.7  evaluate whole number
numerical 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 8.1a  simplify numerical expressions
involving positive exponents, using
rational numbers, order of
operations, properties
 SOL 8.4  evaluate algebraic expressions
using order of operations

Instructional Materials 
 VDOE Enhanced Scope and Sequence Lesson: Order Up! (PDF)  Exploring the order of operations and using it to evaluate numerical expressions (Word)
 Notes: Order of Operations (flipchart)  notes, BrainPop, Explore Learning, practice problems
 Notes: Order of Operations #2 (flipchart)  Notes, understanding parenthesis with practice
 Notes: Order of Operations #3 (flipchart)  practice understanding order of operations
 Guided Notes and Practice (pdf)  fill in notes with 20 practice problems
 Activity: I Have Who Has Questions (doc)  29 practice cards
 Activity: MATHO  Order of Operations (flipchart)  board game for students to practice order of operations
 Notes: Order of Operations  video, notes, puzzle (flipchart)  video on order of operations with Tarsia puzzle.
 Activity: Exponent Follow Me Puzzle (pdf)
 Activity: Balancing Expressions using Illuminations website (pdf)  using website to solve order of operations.
 Activity: Order of Operation Bingo (ppt)
 Game: Bowlafact (flipchart)  practice creating your own order of operation questions
 Song: Order of Operations (mp3)  Song Lyrics (pdf)
 VDOE Algebra Readiness Curriculum Companion: Using Order of Operations and Exploring Properties (pdf)

Real World Lessons 

Practice 
 Solving Expressions Mix and Match (flipchart)  interactive practice with 24 practice problems
 Worksheet: Order of Operations Classwork (doc)  14 questions on solving and understanding order of operations
 Worksheet: Order of Operations Practice (doc)  14 practice problems solving order of operations
 Worksheet: Order of Operations Practice (doc)  SelfPaced ActivEngage version (flipchart)  12 practice problem on worksheet or using ActivEngage
 Worksheet: Order of Operations Practice (doc)  6 practice problems solving order of operations

SOL Mini Quiz 
 SOL 6.8 Mini Quiz: Order of Operations (pdf)

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.
 Order of Operations  Find the Mistake (doc)
 Order of Operations Inquiry (doc)

Videos 
 YouTube: The Order of Operations
 YouTube:
PEMDAS Style (Gangnam Style Parody)

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

Websites 
 Learn Alberta: Exploring Order of Operations
 Learn Alberta: Select Number  Order of Operations
 MathPlay: The Order of Operations Millionaire Game
 XPMath: Order of Operations Game
 XPMath: Call of Hierarchy Game
 MrNussbaum: Order of Operations Royal Rescue
 Math Frog: Order of Operations
 Math Playground: Math Man Order of Operations
 Wyzant: Order of Operations
 BrainGenie: Order of Operations
 MathSlice: One Step Equations

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 
