Input/Output Tables and More
half
A ______ turn is equal to 180 degrees
line segment
A part of a line that includes two points called endpoints
ray
A part of a line; it has one endpoint and continues without end in one direction
Do rules always exist?
No
product
The answer to a multiplication problem
vertex/vertices
The point at which two rays of an angle meet or two (or more) line segments meet in a two-dimensional shape
When can you come up with many possible input-output rules?
When there is only one row in a table.
output
the amount of something produced by a person, machine, or industry
When explaining how rules work in input-output tables you should use the words:
Input and Output
Pattern Unit
The part of a pattern that repeats.
input/output table
a table that shows the relationship between the input and the output for terms in a sequence.
position
input
value
output
Expense
payment for goods and services
two 1/4 turns would be the same as a _____
straight angle
quotient
the answer to a division problem
sequence
the order in which things happen or should happen
The main concepts and skills students will review in these problems are:
-Finding numbers that yield a given sum and product (in a "square box" structure) -Using a linear rule to generate an input-output table -Writing a linear function rule of an arithmetic sequence from a pictorial description -Translating from a table to a verbal representation -Generating products of positive integers with positive, zero, or negative integers -Articulating statements related to the multiplication of signed integers
a 78 degree angle would be less than a ______ turn
1/4
3/4 turn
270 degree angle
240 degree angle would be between a half turn and a _____ turn
3/4
whole turn
360 degrees
1/4
90 degree angle is equal to what fraction of a whole turn?
right
A ______ angle is the type of angle that forms a square corner
straight
A _______ angle's measure is 180*
Composite Number
A number having more than 2 factors.
Term
A number or object in a pattern.
Prime Numbers
A number that has exactly 2 factors, 1 and itself.
angle
A shape formed by two line segments or rays that share the same endpoint
line
A straight path of points in a plane that continues without end in both directions with no endpoints
Input/Output Table
A table that matches each input value with an output value, where the output values are determined by the pattern or function.
Counting Numbers
A whole number that can be used to count a set of objects.
Even
A whole number that has a 0,2,4,6,8 in the ones place
Odd
A whole number that has a 1,3,5,7, or 9 in the ones place
obtuse
A(n) ______ angle that measures greater than 90º and less than 180 degrees
acute
A(n) _______ angle measures between 0 and 90 degrees
point
An exact location in space
Pattern
An ordered set of numbers or objects; the order helps you predict what will come next.
Digit
Any one of ten symbols 0,1,2,3,4,5,6,7,8, or 9
chronological
Arranged in order of time of occurrence
Output = 3
Divide by 5, then add 1---Input = 10
Output = 5
Divide by 5, then add 1---Input = 20
Output = 7
Divide by 5, then add 1---Input = 30
Output = 9
Divide by 5, then add 1---Input = 40
Output = 11
Divide by 5, then add 1---Input = 50
Output = 13
Divide by 5, then add 1---Input = 60
Why is it not possible to not find a rule for some tables?
It is not possible to find a rule for some tables because they may not have patterns.
parallel lines
Lines in the same plane that never intersect always the same distance apart
intersecting lines
Lines that cross each other at exactly one point
Output = 25
Multiply by 20, then add 5---Input = 1
Output = 45
Multiply by 20, then add 5---Input = 2
Output = 65
Multiply by 20, then add 5---Input = 3
Output = 85
Multiply by 20, then add 5---Input = 4
Output = 105
Multiply by 20, then add 5---Input = 5
Output = 125
Multiply by 20, then add 5---Input = 6
Output = 2
Multiply by 4, then subtract 2---Input = 1
Output = 6
Multiply by 4, then subtract 2---Input = 2
Output = 10
Multiply by 4, then subtract 2---Input = 3
Output = 14
Multiply by 4, then subtract 2---Input = 4
Output = 18
Multiply by 4, then subtract 2---Input = 5
Output = 22
Multiply by 4, then subtract 2---Input = 6
Compatible Numbers
Numbers that are easy to compute in your head. Mental Math
Rule:
Output=#(Input)+#
input
Something put into a system, such as resources, in order to achieve a result.
decrease
To become or make less
perpendicular lines
Two lines that intersect to form four right angles
pattern
a sequence of numbers that follows a specific rule using addition, subtraction, multiplication, and/or division
term
each number in, or object in a pattern
Fixed Expense
expenses that occur regularly and do not vary month to month
Variable Expense
expenses that occur regularly but vary month to month and can usually be controlled by an individual
a 145 degree angle would be between a 1/4 and a _____ turn
half
Input Output Chart Review & Games
https://www.ixl.com/math/grade-4/input-output-tables-with-addition-subtraction-multiplication-and-division http://www.mathplayground.com/functionmachine.html http://www.ck12.org/assessment/tools/geometry-tool/plix.html?eId=MAT.ALG.214.1&questionId=556790cdda2cfe750ad3b4eb&artifactID=2066093&backUrl=http%3A//www.ck12.org/algebra/Function-Rules-for-Input-Output-Tables/%23interactive
Income
money earned or received
Earnings
money earned or received from sale of goods
Profit
money that is made in a business after all the costs and expenses are paid
List of Possible Rules for Input and Output table rules.
output=input+2 output=3(input) output= 2(input) +1 output= (input)+(input)+(input) output= input² +2
a triangle with a right angle is called a ________
right triangle
difference
the answer to a subtraction problem
sum
the answer to an addition problem
Input
the position of a number in the sequence
Output
the value of a position in a sequence
increase
to become or make more
Rule
what is happening to the input to create an output
a 270 degree turn and a 1/4 turn would be the same as a ______ turn
whole
