Download Unit 4 Knowledge Questions and Vocabulary?

Unit 4 Knowledge Questions and Vocabulary?
When given certain characteristics or representations of a line, a linear equation in two variables can be
written in various forms.
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What characteristics of a line are needed to write the linear equation?
How are these characteristics used to formulate the equation of the line?
From what representations of a line can a linear equation be written?
How are these representations used to formulate the equation of the line?
In what form can a linear equation` in two variables be written?
How can one form of a linear equation in two variables be transformed into another form?
Rate of change or slope is an attribute of linear functions.
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How does the rate of change compare along the graph of a linear function?
How can rate of change or slope be determined from tables, graphs, points, and equations of lines written
in various forms?
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How is slope used to determine parallel and perpendicular lines?
What relationships in slopes connect lines that are parallel or perpendicular to the x-axis and y-axis?
Domain and range are key attributes of linear functions and can be either continuous or discrete.
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What are the domain and range of a function?
How can the domain and range of a function be determined?
How can domain and range be written?
How do domain and range for the function model and domain and range for the problem situation
compare?
How are discrete and continuous data distinguished?
Rate of change or slope is an attribute of linear functions.
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How can rate of change or slope be determined?
How does the rate of change or slope for the function model and the rate of change or slope for the
problem situation compare?
Intercepts and zeros are attributes of linear functions.
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How can the x-intercept and y-intercept be identified?
Which intercept is also called the zero of a function and why is it called the zero of the function?
How do the intercepts of the function model and the intercepts of the problem situation compare?
When given various representations of a line, a linear equation in two variables can be written in various
forms.
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From what representations of a line can a linear equation be written?
How are these representations used to formulate the equation of the line?
In what form can a linear equation in two variables be written?
Unit 4 Knowledge Questions and Vocabulary?
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How can one form of a linear equation in two variables be transformed into another form?
Equations involving direct variation can be written to model and solve real-world problems.
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How does direct variation compare to proportionality?
How can an equation be formulated to model a problem situation involving direct variation?
Linear functions can be used to model real-world problem situations by analyzing key attributes and
various representations in order to interpret and make predictions and critical judgments.
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What representations can be used to display linear function models?
What key attributes identify a linear parent function model?
What are the connections between the key attributes of a linear function model and the real-world problem
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situation?
How can linear function representations be used to interpret and make predictions and critical judgments
in terms of the problem situation?
Domain
and range are key attributes of linear functions and can be either continuous or discrete.
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What are the domain and range of a function?
How can the domain and range of a linear function be determined?
How are discrete and continuous data distinguished?
How can domain and range be written?
How do domain and range for the function model and domain and range for the problem situation
compare?
Rate of change or slope is an attribute of linear functions.
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How can rate of change or slope be determined from tables, graphs, points, and equations of lines?
How does the rate of change or slope for the function model and the rate of change or slope for the
problem situation compare?
Intercepts and zeros are attributes of linear functions.
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How can the x-intercept and y-intercept be identified?
Which intercept is also called the zero of a linear function?
How do the intercepts of the function model and the intercepts of the problem situation compare?
When given various representations of a line, a linear equation in two variables can be written in various
forms.
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
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From what representations of a line can a linear equation be written?
How are these representations used to formulate the equation of the line?
In what form can a linear equation in two variables be written?
How can one form of a linear equation in two variables be transformed into another form?
Unit 4 Knowledge Questions and Vocabulary?
Linear functions can be used to model real-world problem situations by analyzing key attributes and
various representations in order to interpret and make predictions and critical judgments.
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What representations can be used to display linear function models?
What key attributes identify a linear parent function model?
What are the connections between the key attributes of a linear function model and the real-world problem
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situation?
How can linear function representations be used to interpret and make predictions and critical judgments
in terms of the problem situation?
The correlation coefficient can be used to measure the strength of the linear association between
bivariate data. Association does not always mean causation.
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What is the correlation coefficient and how is it calculated?
How is the correlation coefficient used to determine the strength of the linear association?
Why does a strong association not always indicate that one variable causes the other?
Unit Vocabulary
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Association – a relationship or correlation between two measurable variables
Quantitate bivariate data – data for two related (numeric) variables that can be represented by a
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scatterplot
Causation – a relationship between two variables in which one variable directly causes change(s) in the
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other variable
Continuous function – function whose values are continuous or unbroken over the specified domain
Correlation – description of the linear relationship between the two variables in bivariate data
Correlation coefficient (r-value) – numeric value that assesses the strength of the linear relationship
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between two quantitative variables in a set of bivariate data
Direct variation – a relationship between two variables, x (independent) and y (dependent), that always has
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a constant, unchanged ratio, k, and can be represented by y = kx
Discrete function – function whose values are distinct and separate and not connected; values are not
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continuous. Discrete functions are defined by their domain.
Domain – set of input values for the independent variable over which the function is defined
Inequality notation – notation in which the solution is represented by an inequality statement
Linear equation in two variables – a relationship with a constant rate of change represented by a graph
that forms a straight line
Linear function – a relationship with a constant rate of change represented by a graph that forms a straight
line in which each element of the input (x) is paired with exactly one element of the output (y)
Negative linear correlation – trend of points to descend from left to right
No linear correlation – no trend observable in the data points
Positive linear correlation – trend of points to ascend from left to right
Range – set of output values for the dependent variable over which the function is defined
Regression equation – line of best fit representing a set of bivariate data
Slope of the line – rate of change in y (vertical) compared to change in x (horizontal) which is constant for a
line
x-intercept(s) – x coordinate of a point at which the relation crosses the x-axis, meaning the y coordinate
equals zero, (x, 0)
Unit 4 Knowledge Questions and Vocabulary?
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y-intercept(s) – y coordinate of a point at which the relation crosses the y-axis, meaning the x coordinate
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equals zero, (0, y)
Zeros – the value(s) of x such that the y value of the relation equals zero
Related Vocabulary:
 equation notation
 equations of lines
 function notation
 parallel
 parent function
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perpendicular
point-slope form, y – y1 = m(x – x1)
proportionality
rate of change
Equations can model problem situations and be solved using various methods.
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Why are equations used to model problem situations?
How are equations used to model problem situations?
What methods can be used to solve equations?
Why is it essential to solve equations using various methods?
How can solutions to equations be represented?
Proportional reasoning can be used to describe and solve problems in everyday life.
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Why can proportional reasoning be used to make predictions and comparisons in problem situations?
How is proportional change distinguished from non-proportional change?
How are ratios used in a proportional relationship?
Functions can be classified into different families with each function family having its own unique graphs,
attributes, and relationships.
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Why are functions classified into families of functions?
How are functions classified as a family of functions?
What graphs, key attributes, and characteristics are unique to each family of functions?
What patterns of co-variation are associated with the different families of functions?
How are the parent functions and their families used to model real-world situations?
Function models for problem situations can be determined by collecting and analyzing data using a
variety of representations and applied to make predictions and critical judgments in terms of the problem
situation.
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Why is it important to determine and apply function models for problem situations?
What representations can be used to analyze collected data and how are the representations interrelated?
Why is it important to analyze various representations of data when determining appropriate function models
for problem situations?
How can function models be used to evaluate one or more elements in their domains?
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scatterp
slope-in
standard
trend lin
Unit 4 Knowledge Questions and Vocabulary?
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How do the key attributes and characteristics of the function differ from the key attributes and characteristics
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of the function model for the problem situation?
How does technology aid in the analysis and application of modeling and solving problem situations?
Statistical data are collected, analyzed graphically and numerically, and interpreted to make predictions
and draw conclusions.
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Why is it important to understand the analysis of statistical and interpretation of statistical data?
Why is it important to use appropriate data collection methods?
How does the type of data determine the type of graphical analysis?
How does the type of data determine the type of numerical analysis?
What is the purpose of analyzing statistical data?