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)
106
117
128
139

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
420

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

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