Mathematics
Grade 6
15 min
Addition input/output tables - up to three digits
Addition input/output tables - up to three digits
Tutorial Preview
1
Introduction & Learning Objectives
Learning Objectives
Identify the constant addition rule in an input/output table.
Complete an input/output table given an addition rule.
Determine missing input values when given the output and the addition rule.
Determine missing output values when given the input and the addition rule.
Accurately apply addition strategies to numbers up to three digits within tables.
Explain the relationship between input, rule, and output in an addition table.
Ever wonder how machines follow instructions to give you exactly what you need? 🤖 Input/output tables are like secret codes for math machines!
In this lesson, you'll learn how to understand and complete addition input/output tables, especially when dealing with numbers up to three digits. This skill helps you see patterns and...
2
Key Concepts & Vocabulary
TermDefinitionExample
InputThe starting number or value that goes into the 'math machine' or is processed by the rule.In the table (Input: 10, Output: 15), 10 is the input.
OutputThe resulting number or value that comes out of the 'math machine' after the rule has been applied to the input.In the table (Input: 10, Output: 15), 15 is the output.
RuleThe mathematical operation (in this lesson, addition) that consistently transforms the input into the output.If Input + 5 = Output, then '+ 5' is the rule.
Input/Output TableA structured way to organize pairs of input and output values, clearly showing how a consistent rule connects them.A table with columns for 'Input' and 'Output' and rows of corresponding numbers.
VariableA symbol, often a le...
3
Core Formulas
Basic Addition Rule
\text{Input} + \text{Rule} = \text{Output}
This is the fundamental relationship in an addition input/output table. You take the starting input value, apply the constant addition rule, and the result is the output value.
Finding the Addition Rule
\text{Rule} = \text{Output} - \text{Input}
If you are given a complete input/output pair, you can find the constant addition rule by subtracting the input value from its corresponding output value.
Finding a Missing Input
\text{Input} = \text{Output} - \text{Rule}
If you know the output value and the addition rule, you can find the original input value by using the inverse operation: subtract the rule from the output.
5 more steps in this tutorial
Sign up free to access the complete tutorial with worked examples and practice.
Sign Up Free to ContinueSample Practice Questions
Challenging
An input/output table has a consistent addition rule. The sum of an input and its corresponding output is 640. The difference between the output and the input is 120. What is the rule?
A.Add 120
B.Add 260
C.Add 380
D.Add 520
Challenging
A table has a consistent addition rule. The sum of three different inputs is 750. The sum of their three corresponding outputs is 1200. What is the rule for the table?
A.Add 450
B.Add 250
C.Add 150
D.Add 1950
Challenging
An input/output table follows the rule `n + 345`. A student calculates the output for an input of 287. They correctly add the digits in the ones and hundreds columns, but forget to carry the '1' from the tens column to the hundreds column. What incorrect output do they get?
A.632
B.532
C.622
D.522
Want to practice and check your answers?
Sign up to access all questions with instant feedback, explanations, and progress tracking.
Start Practicing Free