Course 1 Online!
Henrico County Public Schools, Virginia
Number and Number Sense

Computation and Estimation

Measurement and Geometry

Probability, Statistics, Patterns, Functions, and Algebra

SOL Review Materials
Patterns, Functions, and Algebra
Focus: Variable Equations and Properties


The student will solve one-step linear equations in one variable involving whole number coefficients and positive rational solutions. 
Essential Knowledge and Skills
  • Represent and solve a one-step equation, using a variety of concrete materials such as colored chips, algebra tiles, or weights on a balance scale.
  • Solve a one-step equation by demonstrating the steps algebraically.
  • Identify and use the following algebraic terms appropriately: equation, variable, expression, term, and coefficient.
Essential Understandings
  • When solving an equation, why is it necessary to perform the same operation on both sides of an equal sign? To maintain equality, an operation performed on one side of an equation must be performed on the other side.
Vertical Articulation
  1. SOL 4.16a - recognize/demonstrate meaning of equality in equation
  2. SOL 5.18abcd - a) investigate/describe concept of variable; b) write open sentence using variable; c) model one-step linear equations using add/sub; d) create problems based on open sentence
  3. SOL 7.14ab - a) solve one- and two-step linear equations; b) solve practical problems in one variable
  4. SOL 8.15abc - a) solve multistep linear equations in one variable (variable on one and two sides of equations); b) solve two-step linear inequalities and graph results on number line; c) identify properties of operations used to solve
Instructional Materials
  1. VDOE Enhanced Scope and Sequence Lesson: Equation Vocabulary (PDF) - Solving one-step linear equations in one variable (Word)
  2. VDOE Enhanced Scope and Sequence Lesson: Balanced (PDF) - Solving one-step linear equations in one variable (Word)
  3. Notes: Modeling One Step Equations (flipchart) - 54 slides: Algebra vocabulary, modeling one step equations, practice problems solving equations
  4. Notes: Algebraic Vocabulary (flipchart) - 10 slides practice identifying algebra vocabulary
  5. Guided Notes: Vocabulary (pdf) - 2 pages of algebra vocabulary fill in notes
  6. Activity: Equation MATHO (flipchart) - 24 practice problems playing MATHO
  7. Activity: Solving Equations Stations with QR Codes (doc) - 4 stations practicing equations using QR codes
  8. Activity: Solving Equations - Self-Paced (flipchart)
  9. Activity: Algebra Vocabulary Sort (pdf) - practice sorting different types of algebra vocabulary practice problems
  10. Activity: Solving One Step Equations (flipchart) - 12 practice solving one step equations using ActivEngage
  11. VDOE Algebra Readiness Curriculum Companion: Investigating Patterns, Functions, and Algebra (pdf)
Real World Lessons
Practice
  1. Worksheet: Identifying Expressions, Equations, Inequalities (doc) - 17 practice problems
  2. Worksheet: Equations Practice (doc)
  3. Worksheet: Solving Adding and Subtracting Equations (doc) - 16 practice solving all types of equations
  4. Maze: One-Step Equations (doc)
  5. Worksheet: Algebra Vocabulary Review (doc)
  6. Quiz: Algebraic Vocabulary (doc) - 10 matching algebra vocabulary questions
  7. Worksheet: Equations (doc) - Group of 8 practice pages including: equation maze, puzzle, five stations using QR codes, 16 practice solving equations
  8. Worksheet: One Step Equation Practice (doc) - 20 questions solving equations including word problems
  9. Worksheet: Balancing Equations (pdf) - 6 questions practice solving equations with balance scales
  10. Mini Unit : Expressions, Equations, Inequalities, and Evaluating Equations (pdf) - 25 pages of mixed practice with answer keys.
SOL Mini Quiz
  1. SOL 6.18 Mini Quiz: Equations (pdf)
Skills
  1. Equations: Modeling with Balance Scales (doc)
Videos
  1. YouTube: Solving One-Step Equations
  2. PH: Solving one-step integer equations by subtracting
  3. PH: Solving one-step integer equations by adding
  4. PH: Solving one-step integer equations by dividing
  5. PH: Solving one-step integer equations by multiplying
Explore Learning
  1. Modeling One-Step Equations - Activity A: Solve one‑step equations using an area model. Drag tiles into two bins, each representing a side of the equation, and isolate an x‑tile on one side.
  2. Modeling and Solving Two-Step Equations: Solve a two‑step equation using a cup‑and‑counter model. Use step‑by‑step feedback to diagnose and correct incorrect steps.
  3. Solving Equations By Graphing Each Side: Solve an equation by graphing each side and finding the intersection of the lines. Vary the coefficients in the equation and explore how the graph changes in response.
  4. Solving Two-Step Equations: Choose the correct steps to solve a two-step equation. Use the feedback to diagnose incorrect steps.
Websites
  1. Shodor: Algebra Four
  2. XPMath: One Step Equations Pong
  3. Learn Alberta: Select - Patterns and Relations: Equations (Food)
  4. BrainGenie: Solving One-Step Equations - Click on the different types: Add/Sub/Mult/Div
  5. Learn Alberta: Exploring Algebra
  6. Learn Alberta: Balancing Equations
  7. Mangahigh: Equations
VDOE Interventions
  1. 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. Additionally, students learn to solve equations and inequalities, first by using manipulatives and then by working with symbols. 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
6.EE.2b
6.EE.5
6.EE.7
A-SSE.1a