Mathematics
Grade 5
15 min
Division input/output tables
Division input/output tables
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1
Introduction & Learning Objectives
Learning Objectives
Identify the division rule in an input/output table by examining a pair of values.
Calculate the missing output when given the input and the division rule.
Determine the missing input by applying the inverse operation (multiplication).
Complete a division input/output table with multiple missing values.
Create a division input/output table based on a given rule or word problem.
Express a division rule using a simple equation with variables (e.g., y = x / 5).
Imagine you have a giant bag of 120 candies to share equally among your friends. How can you quickly figure out how many candies 2, 4, or 6 friends would get? 🍬
In this lesson, we will explore division input/output tables, which are powerful tools for organizing information and seeing patterns. Thes...
2
Key Concepts & Vocabulary
TermDefinitionExample
Input/Output TableA table that organizes pairs of numbers to show a relationship or pattern between them. It has an 'Input' column and an 'Output' column.A table showing the number of wheels (Input) and the corresponding number of cars (Output).
InputThe number you start with. It's the value you put 'into' the rule machine.If the rule is 'divide by 3', and you start with the number 15, then 15 is the input.
OutputThe result you get after applying the rule to the input. It's the value that comes 'out of' the rule machine.If the input is 15 and the rule is 'divide by 3', the output is 5.
RuleThe specific mathematical operation that connects the input to the output. In this lesson, the rule will alway...
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Core Formulas
Finding the Output
Output = Input / Divisor
Use this rule when you know the input and the rule, and you need to find the output. Let 'x' be the input and 'y' be the output. The formula is y = x / d, where 'd' is the divisor.
Finding the Input
Input = Output * Divisor
Use this rule when you know the output and the rule, and you need to find the input. This uses the inverse operation (multiplication) to work backward. The formula is x = y * d.
Finding the Rule (Divisor)
Divisor = Input / Output
Use this rule when you don't know the rule. Pick a complete pair of input and output values from the table and divide the input by the output to find the constant divisor. The formula is d = x / y.
4 more steps in this tutorial
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Challenging
A group of friends buys a large pizza for $32.80 and splits the cost equally. The input/output table shows the total cost (Input) and each person's share (Output). If one person's share is $8.20, what is the divisor (the number of friends)?
A.4
B.5
C.3
D.8
Challenging
An input/output table follows the rule y = x / 0.5. If the input (x) is 10, what is the output (y)?
A.5
B.20
C.10.5
D.2
Challenging
Consider the table with pairs (Input: 84, Output: 7) and (Input: 132, Output: 11). A third pair is (Input: ?, Output: 9). Which statement about this table is true?
A.The rule is 'divide by 7'.
B.The missing input is 99.
C.The equation for the rule is y = x / 12.
D.To find the missing input, you must calculate 12 / 9.
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