Course 3 Online!
Henrico County Public Schools, Virginia
8.4 - Algebraic Expressions
Number and Number Sense, Computation and Estimation

Measurement and Geometry

Probability, Statistics, Patterns, Functions, and Algebra

SOL Review Materials
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
  1. SOL 6.8 - evaluate whole number expressions using order of operations
  2. SOL 7.13ab - a) write verbal expressions as algebraic expressions and sentences as equations and vice versa; b) evaluate algebraic expressions
  3. SOL A.1 - represent verbal quantitative situations algebraically/evaluate expressions for given replacement values of variables
Instructional Materials
  1. VDOE Enhanced Scope and Sequence Lesson: Evaluating Algebraic Expressions (PDF) - Evaluating algebraic expressions for given replacement values of the variables (Word)
  2. Warm-up: Review 8.1/8.2 (doc)
  3. Notes: Evaluating Expressions (flipchart)
  4. Notes: Exponents (doc)
  5. Guided Notes: Algebraic Expressions (doc)
  6. Guided Notes: Variables and Expressions Practice (doc)
  7. Activity: Replacement Values Puzzle and Directions (pdf)
  8. VDOE Algebra Readiness Curriculum Companion: Using Order of Operations and Exploring Properties (pdf)
Real World Lessons
Practice
  1. Worksheet: Evaluating Algebraic Expressions (doc)
  2. Quiz: Replacement Values (doc)
Self-Assessments
  1. SOL 8.4 Mini-Quiz: Algebraic Expressions
Skills
  1. 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 step-by-step guidance.)
Videos
  1. PH Using the Order of Operations
  2. PH Evaluating Algebraic Expressions with Rational Numbers
  3. PH Evaluating Algebraic Expressions with Exponents
  4. Khan Academy: Examples of Evaluating Algebraic Expressions
  5. Virtual Nerd: What are Expressions?
  6. Virtual Nerd: Evaluating Expressions through Substitution
Explore Learning
  1. Order of Operations: Select and evaluate the operations in an expression following the correct order of operations.
Websites
  1. Interactive Notes: Order of Operations - lessons and practice problems at Regentsprep.org
  2. Interactive Notes: Order of Operations - notes and workout problems at Math.com
  3. Interactive Notes: Evaluate Expressions - notes and workout problems at Math.com
  4. Game: Evaluating expressions and solving equations in a variety of different contexts
VDOE Interventions
  1. 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
6.EE.2c
6.EE.4
7.RP.3