5.3: Follow the Rule 3
Look at the table below. stands for a number. Can you follow the rule and complete the table? In this concept, we will practice using rules to complete tables.
Guidance
In order to complete function tables like the one above, we can use the problem solving steps to help.
- First, describe what you see in the table.
- Second, identify what your job is. In these problems, your job will be to complete the table.
- Third, make a plan . In these problems, your plan should be to use the rules to help you to complete the table.
- Fourth, solve . In these problems you will solve by completing the table.
- Fifth, check . In these problems you will check by making sure that the numbers in the table work with the rule.
Example A
Use the rule to complete the table.
Solution:
We can use problem solving steps to help.
7 | 5 |
3 | 1 |
9 | 7 |
10 | 8 |
15 | 13 |
36 | 34 |
20 | 18 |
29 | 27 |
54 | 52 |
Example B
Use the rule to complete the table.
Solution:
We can use problem solving steps to help.
5 | 25 |
8 | 28 |
6 | 26 |
4 | 24 |
19 | 39 |
53 | 73 |
20 | 40 |
48 | 68 |
69 | 89 |
Example C
Use the rule to complete the table.
Solution:
We can use problem solving steps to help.
538 | 438 |
810 | 710 |
662 | 562 |
626 | 526 |
149 | 49 |
479 | 379 |
905 | 805 |
700 | 600 |
568 | 468 |
Concept Problem Revisited
We can use problem solving steps to help.
Vocabulary
A function is an example of a rule that states a relationship between two quantities. A variable is a letter that represents a number that can change value. In this concept, our rule told us how the two variables in the table were related.
Guided Practice
Use the rules to complete the tables.
1.
2.
3.
4.
Answers:
1. Here is the completed table:
741 | 541 |
800 | 600 |
306 | 106 |
449 | 249 |
530 | 330 |
361 | 161 |
427 | 227 |
936 | 736 |
958 | 758 |
2. Here is the completed table:
2 | 6 |
5 | 15 |
9 | 27 |
4 | 12 |
3 | 9 |
10 | 30 |
1 | 3 |
8 | 24 |
7 | 21 |
3. Here is the completed table:
8 | 4 |
12 | 6 |
10 | 5 |
4 | 2 |
18 | 9 |
2 | 1 |
20 | 10 |
16 | 8 |
14 | 7 |
4. Here is the completed table:
3 | 15 |
7 | 35 |
8 | 40 |
2 | 10 |
9 | 45 |
4 | 20 |
1 | 5 |
5 | 25 |
6 | 30 |
Practice
Use the rules to complete the tables.
Image Attributions
Description
Learning Objectives
In this concept, students follow rules presented in words to complete two-column function tables. Rules use addition, subtraction, multiplication, or division. Students use problem solving steps to help.