1. AMSTI – IMP Patterns Book
Inside Out Homework #5
AMSTI – IMP Patterns Book

2. Online Function Machine Link
Teachers – the link will take you to a function machine at Shodor.org. Check out other activities on their site for math and science.

3. Directions: 1. Supply the missing entry for the table. 2
Directions: 1. Supply the missing entry for the table. 2. Write a rule for each table that tells you what to do to the ‘In’ to get the ‘Out’. 3. Express each rule as a complete sentence.
Sample responses:
First answer: 54 Second Answer: 9. (the out column is doubled from the in column)
f(x) = 2x or f(x) = x + x the student may also write something like when x = 2, y = 4. There are many ways to accurately express the answer.
In the function table, the inbox is doubled in order to get the outbox. (or something similar).

4. Directions: 1. Supply the missing entry for the table. 2
Directions: 1. Supply the missing entry for the table. 2. Write a rule for each table that tells you what to do to the ‘In’ to get the ‘Out’. 3. Express each rule as a complete sentence.
Sample responses:
The first missing entry is 37, the second missing entry is 25.
f(x) = 3x+1
For the function to work you take the number in the inbox and triple it, then add one to get the number in the outbox.

5. Directions: 1. Supply the missing entry for the table. 2
Directions: 1. Supply the missing entry for the table. 2. Write a rule for each table that tells you what to do to the ‘In’ to get the ‘Out’. 3. Express each rule as a complete sentence.
Sample responses:
1. The first response is 3, then 10, go, replace, I (as examples only – there are infinite responses).
2. If x is the number of letters in the word, then f(x) = x-1.
3. Take the number of letters in each word and subtract one to get the number in the output.

6. Directions: 1. Supply the missing entry for the table. 2
Directions: 1. Supply the missing entry for the table. 2. Write a rule for each table that tells you what to do to the ‘In’ to get the ‘Out’. 3. Express each rule as a complete sentence.
Sample responses:
A face with 2 eyeballs.
If x is the number of eyes on the face, then f(x) = 4x-1
Take the number of eyeballs on the face, multiply it by four, then subtract one.

7. Directions: 1. Supply the missing entry for the table. 2
Directions: 1. Supply the missing entry for the table. 2. Write a rule for each table that tells you what to do to the ‘In’ to get the ‘Out’. 3. Express each rule as a complete sentence.
Sample responses:
The first answer is e, the next answer would be any word without a second vowel, such as ‘dog’.
If the x represents the vowels in the word, then f(x) = the second x. (a great time to discuss how writing the function can be difficult).
Use any word with at least 2 vowels for the inbox and choose the second vowel for the outbox.

8. Group Assignment 1. Create two ‘In and Out’ tables of your own, designed to ‘stump’ your classmates, one that is numeric and one that is non-numeric. 2. Have the solution on a separate paper.
This is a great project to do on posterboard or on large graph presentation paper. Be sure to allow time for the rest of the class to guess the function before you ask the students to explain their function. Be prepared to have some that do not work mathematically – and use it as a learning opportunity. Some examples I have had in class, students used flowers – the pink petals were positive single digits and the blue were negative…the output would be the sum. The students are very creative.