Transcript Functions and Tables

Functions and Tables
By: Red E. Ornot
Our Standards
Maryland VSC Standard
-
1.A.1.c – Complete a function table using a oneoperation (+,-,/,x)
-1.A.1.d – Describe the relationship that generates a oneoperation 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
Is the input
_____ is the output
+ 5 is the rule
+ 5 = ___ ,
Practice using a Function
In the incomplete equation
INPUT
2 into
Apply the rule + 5
7
2 + 5= ____
OUTPUT
+ 5 = ___ ,
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 =9
6 ______
+3
7 ________
= 10
The rule must be + 3 because 6 + 3=9 and 7 + 3 = 10
Practice using a Function
Sometimes we use “function machines” to
determine rules of functions.
8
The rule of the function
Input
12
+4
Output
Practice using a Function
• Web practice
• http://www.amblesideprimary.com/amblew
eb/mentalmaths/functionmachines.html
Function Tables
Let’s imagine this equation
In
+ 5 = ___
Out
The output is
the result of
applying the
rule ( + 5)
The input is a
number going
in.
+ 5 is the rule
Function Tables
Let’s imagine this equation
+ 5 = ___
In
Out
5
10
+ 5 is the rule
Function Tables
Let’s imagine this equation
+ 5 = ___
In
Out
5
7
10
12
+ 5 is the rule
Function Tables
Let’s imagine this equation
+ 5 = ___
In
Out
5
7
10
10
12
15
+ 5 is the rule
Function Tables
Let’s imagine this equation
+ 5 = ___
In
Out
5
7
10
13
15
17
10
12
15
18
20
22
+ 5 is the rule
Function Tables
In
Out
6
4
5
7
3
18
12
15
21
9
30
10
The rule is x 3
Function Tables
In
Out
18
10
20
9
16
12
4
14
3
10
0
6
The rule is -6
Function Tables
In
Out
20
8
4
24
12
5
2
1
6
3
7
28
The rule is ÷4
Function Tables
In
Out
17
1
10
21
22
30
14
23
34
35
19
6
The rule is + 13