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Functions and Tables By:  Red E. Ornot
Our Standards Maryland VSC Standard -  1.A.1.c – Complete a function table using a one-operation (+,-,/,x)  -1.A.1.d – Describe the relationship that generates a one-operation rule. Maryland Technology Literacy Student Standard  (MTLSS) -  3.A.1.a Use technology tools, including software and hardware, from a range of teacher-selected options to learn new content or reinforce skills.
What is a Function? A function is a rule, sometimes using variables, that changes a number (input), using multiplication, division, addition, and/or subtraction creating a new number (output) Watch the introduction Movie.
Functions In the incomplete equation  + 5  = ___ ,  Is the input _____ is the output + 5   is the rule
Practice using a Function In the incomplete equation  + 5  = ___ ,  INPUT  2  into   Apply the rule  + 5 2  + 5 = ____  OUTPUT 7
Solving the Rule If you are given the input and the output, you must determine how the number changed using addition, subtraction, multiplication, or division. Practice using a Function 6  ______ = 9  7 ________ = 10 The rule must be  + 3  because 6 + 3=9 and 7 + 3 = 10 + 3 + 3
Sometimes we use “function machines” to determine rules of functions. Practice using a Function The rule of the function Input Output 12 8 + 4
Web practice http://www.amblesideprimary.com/ambleweb/mentalmaths/functionmachines.html Practice using a Function
Function Tables The input is a number going in. Let’s imagine this equation  + 5  = ___ The output is the result of applying the rule (  + 5 ) + 5 is the  rule Out In
Function Tables Let’s imagine this equation  + 5  = ___ + 5 is the  rule 5 10 Out In
Function Tables Let’s imagine this equation  + 5  = ___ + 5 is the  rule 7 12 10 5 Out In
Function Tables Let’s imagine this equation  + 5  = ___ + 5 is the  rule 10 15 12 7 10 5 Out In
Function Tables Let’s imagine this equation  + 5  = ___ + 5 is the  rule 13 18 15 20 17 22 15 10 12 7 10 5 Out In
Function Tables 15 21 3 10 The rule is  x 3 9 30 7 5 12 4 18 6 Out In
Function Tables 14 3 16 6 The rule is  -6 10 0 9 20 4 10 12 18 Out In
Function Tables 1 6 12 28 The rule is  ÷4 3 7 24 4 2 8 5 20 Out In
Function Tables 23 34 22 6 The rule is  + 13 35 19 21 10 14 1 30 17 Out In

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Function tables

  • 1. Functions and Tables By: Red E. Ornot
  • 2. Our Standards Maryland VSC Standard - 1.A.1.c – Complete a function table using a one-operation (+,-,/,x) -1.A.1.d – Describe the relationship that generates a one-operation rule. Maryland Technology Literacy Student Standard (MTLSS) - 3.A.1.a Use technology tools, including software and hardware, from a range of teacher-selected options to learn new content or reinforce skills.
  • 3. What is a Function? A function is a rule, sometimes using variables, that changes a number (input), using multiplication, division, addition, and/or subtraction creating a new number (output) Watch the introduction Movie.
  • 4. Functions In the incomplete equation + 5 = ___ , Is the input _____ is the output + 5 is the rule
  • 5. Practice using a Function In the incomplete equation + 5 = ___ , INPUT 2 into Apply the rule + 5 2 + 5 = ____ OUTPUT 7
  • 6. Solving the Rule If you are given the input and the output, you must determine how the number changed using addition, subtraction, multiplication, or division. Practice using a Function 6 ______ = 9 7 ________ = 10 The rule must be + 3 because 6 + 3=9 and 7 + 3 = 10 + 3 + 3
  • 7. Sometimes we use “function machines” to determine rules of functions. Practice using a Function The rule of the function Input Output 12 8 + 4
  • 9. Function Tables The input is a number going in. Let’s imagine this equation + 5 = ___ The output is the result of applying the rule ( + 5 ) + 5 is the rule Out In
  • 10. Function Tables Let’s imagine this equation + 5 = ___ + 5 is the rule 5 10 Out In
  • 11. Function Tables Let’s imagine this equation + 5 = ___ + 5 is the rule 7 12 10 5 Out In
  • 12. Function Tables Let’s imagine this equation + 5 = ___ + 5 is the rule 10 15 12 7 10 5 Out In
  • 13. Function Tables Let’s imagine this equation + 5 = ___ + 5 is the rule 13 18 15 20 17 22 15 10 12 7 10 5 Out In
  • 14. Function Tables 15 21 3 10 The rule is x 3 9 30 7 5 12 4 18 6 Out In
  • 15. Function Tables 14 3 16 6 The rule is -6 10 0 9 20 4 10 12 18 Out In
  • 16. Function Tables 1 6 12 28 The rule is ÷4 3 7 24 4 2 8 5 20 Out In
  • 17. Function Tables 23 34 22 6 The rule is + 13 35 19 21 10 14 1 30 17 Out In