Functions
Functions
Standard
6.P.1 Analyze and determine the rules for extending symbolic, arithmetic, and geometric patterns and progressions, e.g., ABBCCC; 1, 5, 9, 13 …; 3, 9, 27, ….
6.P.4 Represent real situations and mathematical relationships with concrete models, tables, graphs, and rules in words and with symbols, e.g., input-output tables
Cluster
Vocabulary
Function-a pairing of numbers in one set with a number in the second set.
Input- the starting number in the first set
Output- the pair numberin the second set
Objective
To evaluate and write functions
Lesson
Using a Table to write a rule
Step 1: Look at the Input, and Output, Ask yourself what are you doing to the input to get the output?
Step 2: See if the rule applies to all pairs, if so you have the rule.
Ex.
| Input (X) | Output (Y) |
| 10 | 6 |
| 11 | 7 |
| 12 | 8 |
| 13 | 9 |
Each number in colum y is 4 less than the number in column x
So, x - 4 = y
Make a table to write a rule
Each Figure is made up of 5- pointed stars, Let n represent the number of stars and p represent the number of points.
1
2
3
4
| Input (stars) | Output (points) |
| 1 | 5 |
| 2 | 10 |
| 3 | 15 |
| 4 | 20 |
So for every number in the input column we multiply by 5 to get the answer in the output column.
So n * 5 = p
Evalute the function
Use a table to solve for the output
Ex. x * 3 = y
Choose values for x and solve for y
| Input (X) | Output (Y) |
| 0 | 0 |
| 1 | 3 |
| 2 | 6 |
| 3 | 9 |
Practice
If you need more practice, use the Online Tutorial that is used with our Text Book
Click on Learn the Lesson