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Lorraine Baron's Math Site:

Arithmetic Sequences

PowerPoint to teach Arithmetic Sequences - Multiple Representations

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baron_-_arithmetic_sequences.pptx
File Size: 3172 kb
File Type: pptx
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This PowerPoint was originally written to work with applets through a complex website; however, there is a lot of value in simply providing it for teachers.  So much work went into this, and I am pleased if it can be useful to you.

The colours are consistent throughout, and there is a clear relationship between patterns of tiles, arithmetic sequences, and linear relationships.  Also, multiple ways of representing are used, including numerical sequences, tables, graphs, and formulas.

Implementation: I recommend that you distribute colour tiles (or square crackers!) and have the students build the first three piles of tiles as shown on the fourth PowerPoint slide.  Then, they can guess what the next pile looks like.  Ask them how they saw the piles changing.  You will see that students describe differently how they visualized the piles growing. Discussing students' interpretations is important.  Then ask them to make a table of values and look for patterns as you develop the formulas together :)
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Photo used under Creative Commons from Tatters ❀
  • Home
  • Basics
    • Building Blocks 1 - Factoring
    • Building Blocks 2 - Factors & Multiples
    • Building Blocks 3 - Fractions, Decimals, Percents
    • Building Blocks 4 - Why Exponent Laws?
    • Building Blocks 5 - Perfect Squares and Square Roots
    • Building Blocks 6 - Multiplying and Dividing Fractions using Area Model
    • Building Blocks 7 - Adding Fractions
  • Algebra Basics
    • Multiples of x
    • Equivalent Rational Expressions
    • FOIL with and without Algebra
    • Linear Relationships
  • High School Curriculum
    • Basics - Proportional Reasoning
    • Arithmetic Sequences and Linear Functions
    • BC Teaching Notes
  • Applets and Video
    • Arithmetic Sequences
    • Introduction to Polynomial Functions
    • Intro to Graphing Quadratics
    • Translations of Quadratic Functions
    • Expansions and Compressions of Quadratic Functions
    • General and Vertex Forms & Algebra Tiles
    • Applications of Quadratic Functions
    • Review of Quadratics
  • Manipulatives
    • Sourcing Algebra Tiles
    • Alternative to Hands-On
  • About me
    • Videos and Songs
    • Publications and Teaching Notes
  • Blog
  • MY FAVE WEBSITES