Patterns: Describing patterns using tables and solving variables

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Intros
Lessons
  1. Introduction to Describing Patterns using Tables and Solving Variables:
  2. What is a function machine and what is a function table?
  3. What are two-step rules?
  4. How do we write number pattern rules as formulas with variables?
  5. Solving the formula for one-step rules
  6. Solving the formula for two-step rules with consecutive inputs
  7. Solving for formula for two-step rules with random inputs
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Examples
Lessons
  1. Solve for the Function Table's Missing Variables
    Use the rule to complete the function table:

    1. Patterns: Describing Patterns using Tables and Solving Variables

    2. Patterns: Describing Patterns using Tables and Solving Variables

    3. Patterns: Describing Patterns using Tables and Solving Variables

    4. Patterns: Describing Patterns using Tables and Solving Variables
  2. Solving for Function Table Rules
    Write the rule for the function table
    • Write the one-step rule as a formula with a variable

    1. Patterns: Describing Patterns using Tables and Solving Variables

    2. Patterns: Describing Patterns using Tables and Solving Variables

    3. Patterns: Describing Patterns using Tables and Solving Variables

    4. Patterns: Describing Patterns using Tables and Solving Variables
  3. Using Two-Step Rules to Complete Function Tables
    Use the two-step rule to complete the function table.

    1. Patterns: Describing Patterns using Tables and Solving Variables

    2. Patterns: Describing Patterns using Tables and Solving Variables

    3. Patterns: Describing Patterns using Tables and Solving Variables

    4. Patterns: Describing Patterns using Tables and Solving Variables
  4. Solving for Two-Step Rules in Function Tables
    Write the two-step rule for the function table.
    1. output=(m)input±boutput = (m) input \pm b
      Patterns: Describing Patterns using Tables and Solving Variables
    2. output=(m)input±boutput = (m) input \pm b
      Patterns: Describing Patterns using Tables and Solving Variables
    3. output=(m)input±boutput = (m) input \pm b
      Patterns: Describing Patterns using Tables and Solving Variables
    4. output=(m)input±boutput = (m) input \pm b
      Patterns: Describing Patterns using Tables and Solving Variables
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Practice