Arithmetic and Geometric Sequences

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Theme:

Pre-Algebra: Patterns and Sequences

Grades:

6 - 8

Subject:

Math

Duration:

45–60 minute period

Standards
& Goals:

New Jersey Core Curriculum Content Standards
4.1.8 A. Number Sense
3. Understand and use ratios, rates, proportions and percents in a variety of situations.

4.3.8 A. Patterns
1. Recognize, describe, extend and create patterns involving whole numbers, rational numbers and integers.
• Descriptions using tables, verbal and symbolic rules, graphs, simple equations or expressions
• Arithmetic sequences
• Geometric sequences

Note that standards in this lesson plan are for example only. This lesson can be easily adapted to meet your state's specific standards.

Objectives:

Students will:

  • Identify patterns in given sequences and use patterns to extend sequences.
  • Determine whether given sequences are arithmetic or geometric by first identifying common differences and common ratios.
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