This document discusses functions and tables. It defines a function as a rule that takes an input number and outputs a new number using operations like addition, subtraction, multiplication, or division. It provides examples of function tables where the input is listed in the left column and the output generated by applying the rule is listed in the right column. The document encourages practicing determining the rule based on input and output as well as completing 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

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

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