Input/Output Tables Flashcards

Questions and Answers

What is the definition of Input?

Something put into a system to achieve a result (correct)

An ordered set of numbers

The position of a number in the sequence

The value of a position in a sequence

What does Output represent?

the value of a position in a sequence

What is an input/output table?

a table that shows the relationship between the input and the output for terms in a sequence

What is a rule in the context of input/output?

what is happening to the input to create an output Signup and view all the answers

What is a pattern in mathematics?

a sequence of numbers that follows a specific rule Signup and view all the answers

Define 'term' in the context of patterns.

each number or object in a pattern Signup and view all the answers

What does the term 'value' refer to?

output Signup and view all the answers

What does 'sum' refer to?

the answer to an addition problem Signup and view all the answers

What does 'difference' refer to?

the answer to a subtraction problem Signup and view all the answers

What is a 'quotient'?

the answer to a division problem Signup and view all the answers

What is 'product' in mathematics?

the answer to a multiplication problem Signup and view all the answers

A ______ is the order in which things happen or should happen.

sequence Signup and view all the answers

Define 'chronological'.

arranged in order of time of occurrence Signup and view all the answers

Do rules always exist for input-output tables?

False Signup and view all the answers

Why is it not possible to find a rule for some tables?

they may not have patterns Signup and view all the answers

When can you come up with many possible input-output rules?

When there is only one row in a table Signup and view all the answers

What are some possible rules for input-output tables?

output = input + 2 Signup and view all the answers

What is the definition of 'Expense'?

payment for goods and services Signup and view all the answers

What is a 'Fixed Expense'?

expenses that occur regularly and do not vary month to month Signup and view all the answers

What does 'Income' refer to?

money earned or received Signup and view all the answers

Define 'Profit'.

money that is made in a business after all costs and expenses are paid Signup and view all the answers

What is a 'Variable Expense'?

expenses that occur regularly but vary month to month Signup and view all the answers

Are Composite Numbers numbers having exactly 2 factors?

False Signup and view all the answers

Are Counting Numbers a whole number that can be used to count a set of objects?

True Signup and view all the answers

What defines an 'Odd' number?

a whole number that has a 1, 3, 5, 7, or 9 in the ones place Signup and view all the answers

How is a 'Vertex' defined?

the point at which two rays of an angle meet Signup and view all the answers

What is a 'Right Angle'?

an angle that forms a square corner Signup and view all the answers

What kind of angle measures 180 degrees?

straight Signup and view all the answers

An acute angle measures between 0 and _____ degrees.

90 Signup and view all the answers

What are parallel lines?

lines that never intersect and are always the same distance apart Signup and view all the answers

What describes intersecting lines?

lines that cross each other at exactly one point Signup and view all the answers

What defines perpendicular lines?

two lines that intersect to form four right angles Signup and view all the answers

A triangle with a right angle is called a _____ triangle.

right Signup and view all the answers

Study Notes

Input and Output Terminology

Input: Position of a number in a sequence.
Output: Value associated with an input in a sequence.
Input/Output Table: A table showing the relationship between inputs and outputs in a sequence.
Rule: The operation applied to the input to generate output.
Pattern: Sequence of numbers that adhere to a specific mathematical rule.
Term: Each individual number or object within a pattern.
Value: Synonymous with output.
Position: Synonymous with input.

Mathematical Operations

Sum: Result of an addition problem.
Difference: Result of a subtraction problem.
Quotient: Result of a division problem.
Product: Result of a multiplication problem.

Sequences and Arrangement

Sequence: The specific order in which events or numbers occur.
Chronological: Arranged in time sequence.

Change and Adjustment

Decrease: To become smaller or diminish.
Increase: To become larger or amplify.

Financial Terms

Expense: Payments made for goods and services.
Fixed Expense: Consistent monthly expenses that do not change.
Income: Money received or earned.
Earnings: Revenue generated from sales.
Profit: Income after all expenses and costs are deducted.
Variable Expense: Monthly expenses that can vary and are often controllable.

Number Types

Composite Number: A number with more than two distinct factors.
Prime Numbers: Numbers that have exactly two factors (1 and itself).
Even Numbers: Whole numbers ending in 0, 2, 4, 6, or 8.
Odd Numbers: Whole numbers ending in 1, 3, 5, 7, or 9.
Digit: One of the ten numeric symbols (0-9).
Counting Numbers: Whole numbers used for counting objects.

Geometry Terms

Point: An exact location in space.
Line: An infinite straight path of points with no endpoints.
Line Segment: A portion of a line defined by two endpoints.
Ray: A part of a line extending infinitely in one direction from an endpoint.
Angle: Formed by two line segments or rays sharing a common endpoint.
Vertex: The meeting point of rays or line segments in an angle or shape.

Angle Classifications

Right Angle: Measures exactly 90 degrees.
Straight Angle: Measures exactly 180 degrees.
Acute Angle: Measures less than 90 degrees.
Obtuse Angle: Measures greater than 90 degrees but less than 180 degrees.

Lines and Intersections

Parallel Lines: Lines that never meet and are equidistant.
Intersecting Lines: Lines that cross at one distinct point.
Perpendicular Lines: Lines that intersect to form four right angles.

Patterns and Functions

Pattern Unit: The repeating part of a pattern.
Input/Output Chart: Matches input values with corresponding output values based on a function.
Compatible Numbers: Easy-to-compute numbers useful for mental math.

Problem-Solving Skills

Focus on finding pairs of numbers yielding specified sums and products.
Utilize linear rules to create input-output tables and articulate rules verbally.
Generate outputs based on various input patterns, incorporating positive or negative integers as needed.

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Description

This quiz features flashcards designed to enhance your understanding of input/output tables and related concepts. Each card defines key terms essential for mastering sequences and their relationships. Test your knowledge and solidify your grasp on input, output, rules, and patterns.