Podcast
Questions and Answers
What is the definition of Input?
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?
What does Output represent?
the value of a position in a sequence
What is an input/output table?
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 a rule in the context of input/output?
What is a pattern in mathematics?
What is a pattern in mathematics?
Define 'term' in the context of patterns.
Define 'term' in the context of patterns.
What does the term 'value' refer to?
What does the term 'value' refer to?
What does 'sum' refer to?
What does 'sum' refer to?
What does 'difference' refer to?
What does 'difference' refer to?
What is a 'quotient'?
What is a 'quotient'?
What is 'product' in mathematics?
What is 'product' in mathematics?
A ______ is the order in which things happen or should happen.
A ______ is the order in which things happen or should happen.
Define 'chronological'.
Define 'chronological'.
Do rules always exist for input-output tables?
Do rules always exist for input-output tables?
Why is it not possible to find a rule for some tables?
Why is it not possible to find a rule for some tables?
When can you come up with many possible input-output rules?
When can you come up with many possible input-output rules?
What are some possible rules for input-output tables?
What are some possible rules for input-output tables?
What is the definition of 'Expense'?
What is the definition of 'Expense'?
What is a 'Fixed Expense'?
What is a 'Fixed Expense'?
What does 'Income' refer to?
What does 'Income' refer to?
Define 'Profit'.
Define 'Profit'.
What is a 'Variable Expense'?
What is a 'Variable Expense'?
Are Composite Numbers numbers having exactly 2 factors?
Are Composite Numbers numbers having exactly 2 factors?
Are Counting Numbers a whole number that can be used to count a set of objects?
Are Counting Numbers a whole number that can be used to count a set of objects?
What defines an 'Odd' number?
What defines an 'Odd' number?
How is a 'Vertex' defined?
How is a 'Vertex' defined?
What is a 'Right Angle'?
What is a 'Right Angle'?
What kind of angle measures 180 degrees?
What kind of angle measures 180 degrees?
An acute angle measures between 0 and _____ degrees.
An acute angle measures between 0 and _____ degrees.
What are parallel lines?
What are parallel lines?
What describes intersecting lines?
What describes intersecting lines?
What defines perpendicular lines?
What defines perpendicular lines?
A triangle with a right angle is called a _____ triangle.
A triangle with a right angle is called a _____ triangle.
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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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