Competency 16: Patterns & Algebra

Question 1

Relation

Answer 1

A set of ordered pairs. Algebraic expressions usually with 2 variables. Ex) x^2y+4=3y^2x or x^2+y^2=16

Question 2

Function

Answer 2

A special type of relation where each member of the domain, or independent variable, is paired with exactly one member of the range, or dependent variable.

Question 3

Domain

Answer 3

Of a functional relationship is the set of all first members of the relation. Includes: all members of the independent variable, all of the “x” values on a graph, the direction from LEFT to RIGHT on a graph, and the “inputs” from a table of values.

Question 4

Range

Answer 4

of a functional relationship is the set of all second-members of the relation. Includes: all members of the dependent variable, all of the “y” values on a graph, the direction from BOTTOM TO TOP on a graph, & the outputs from a table of values. Set of function dependent variables.

Question 5

Data Set

Answer 5

A set of ordered pairs: ( (0,1),(2,0),(4,5),(8,10) ) In order to find out if this set is a function, one can map the points or plot them in the XY coordinate system. Both methods will check if for each x there is only one y.

Question 6

Table of Values

Answer 6

Used especially in science when data is gathered based on the input & output of the experiment. Can be arranged horizontally or vertically. In a horizontal one, the independent variable (input) is labeled in the upper row & dependent (output) in the lower.

Question 7

Graph

Answer 7

One of the most common of function representations. For each input there must be only one output.

Question 8

Vertical Line Test (VLT)

Answer 8

If any vertical line intersects a given graph only once, the graph is a function.

Question 9

Early Pattern Concepts

Answer 9

formation of algebraic concepts begins in kinder with the creation of concrete patterns. students will use various objects to create predictable patterns and will begin to use language to explain the pattern.

Question 10

Algebraic Reasoning

Answer 10

Around the 4th grade, students move primarily to abstract representation of numerical patterns in tables with rules as a basis for algebraic functions. One way this is done is with an input/output table.

Question 11

Algebraic Functions

Answer 11

In the 5th grade, students begin to use the patterns in table to create functions that describe the rules. the bridge between pattern tables and equations is the use of letters as variables to create equations for the rule.