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Understanding Functions and Function Tables: A Guide for Maryland Students

This resource provides an overview of functions, function tables, and the relationship behind one-operation rules, aligning with Maryland’s VSC standards. Students will learn to complete function tables using basic operations such as addition, subtraction, multiplication, and division. The guide includes practical examples, the concept of input and output in functions, and how to determine the rule of a function. Additionally, technology tools are recommended to reinforce learning. Ideal for Maryland students looking to enhance their understanding of mathematical functions.

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Understanding Functions and Function Tables: A Guide for Maryland Students

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  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 7 2 + 5= ____ OUTPUT

  6. Practice using a Function 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. + 3 + 3 6 ______ = 9 7 ________ = 10 The rule must be + 3 because 6 + 3=9 and 7 + 3 = 10

  7. Practice using a Function Sometimes we use “function machines” to determine rules of functions. 8 The rule of the function Input 12 + 4 Output

  8. Practice using a Function • Web practice • http://www.amblesideprimary.com/ambleweb/mentalmaths/functionmachines.html

  9. Function Tables Let’s imagine this equation + 5 = ___ The output is the result of applying the rule ( + 5) The input is a number going in. + 5 is the rule

  10. Function Tables Let’s imagine this equation + 5 = ___ 5 10 + 5 is the rule

  11. Function Tables Let’s imagine this equation + 5 = ___ 7 12 + 5 is the rule

  12. Function Tables Let’s imagine this equation + 5 = ___ 10 15 + 5 is the rule

  13. Function Tables Let’s imagine this equation + 5 = ___ 13 18 15 20 17 22 + 5 is the rule

  14. Function Tables 15 21 3 10 The rule is x 3

  15. Function Tables 14 3 16 6 The rule is -6

  16. Function Tables 1 6 12 28 The rule is ÷4

  17. Function Tables 23 34 22 6 The rule is + 13

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