Course 2 Online!
Henrico County Public Schools, Virginia
7.2 - Sequences
Number, Number Sense, Computation and Estimation

Measurement and Geometry

Probability, Statistics, Patterns, Functions, and Algebra

SOL Review Materials
Number and Number Sense
Focus: Proportional Reasoning


The student will describe and represent arithmetic and geometric sequences, using variable expressions. 
Essential Knowledge and Skills 
  • Analyze arithmetic and geometric sequences to discover a variety of patterns.
  • Identify the common difference in an arithmetic sequence.
  • Identify the common ratio in a geometric sequence.
  • Given an arithmetic or geometric sequence, write a variable expression to describe the relationship between two consecutive terms in the sequence.
Essential Understandings
  • When are variable expressions used? Variable expressions can express the relationship between two consecutive terms in a sequence.  
Vertical Articulation
  • SOL 5.17 - describe/express the relationship in a number pattern
  • SOL 6.17 - identify/extend geometric/arithmetic sequences
Instructional Materials
  1. VDOE Enhanced Scope and Sequence Lesson: Arithmetic and Geometric Sequences (PDF) - Describing arithmetic and geometric sequences (Word)
  2. Notes: Sequences (ppt)
  3. Notes: Sequences (flipchart)
  4. Notes: Sequences Review (flipchart)
  5. Activity: Pattern Sort (doc)
  6. Activity: Exploring Patterns and Sequences (flipchart)
  7. VDOE Algebra Readiness Curriculum Companion: Investigating Patterns, Functions, and Algebra (pdf)
Real World Lessons
Practice
  1. Worksheet: Sequence Match (pdf)
  2. Quiz: Sequences (doc)
SOL Mini Quiz
  1. SOL 7.2 Mini Quiz: Sequences (pdf) | (doc)
Skills
Videos
  1. PH Finding terms of an arithmetic sequence
  2. PH Finding terms of a geometric sequence
  3. YouTube: Arithmetic vs Geometric Sequences
  4. YouTube: Writing a Formula from a Sequence
  5. Virtual Nerd: Arithmetic or Geometric Sequence?
Explore Learning
  1. Arithmetic Sequences: Find the value of individual terms in arithmetic sequences using graphs of the sequences and direct computation. Vary the common difference and examine how the sequences change in response.
  2. Arithmetic and Geometric Sequences: Find the value of individual terms in an arithmetic or geometric sequence using graphs of the sequence and direct computation. Vary the common difference and common ratio and examine how the sequence changes in response.
  3. Geometric Sequences: Explore geometric sequences by varying the initial term and the common ratio and examining the graph. Compute specific terms in the sequence using the explicit and recursive formulas.
Websites
  1. Math Guide: Arithmetic Sequences
  2. Math Guide: Geometric Sequences
  3. Algebra Lab: Arithmetic and Geometric Sequences
  4. IXL Math: Identify Arithmetic and Geometric Sequences
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. (pdf)
Common Core Standards
5.OA.3
F-BF.1a
F-BF.1b
F.BF.2