Study Guide for Snapshot 2

2015-2016 FALL DISTRICT SNAPSHOT #2 OUTLINE
Subject: Mathematics
Grade: Algebra I
Snapshot: 2
Standards: Ⓡ ALGI.2A, Ⓢ ALGI.2B, Ⓡ ALGI.2C, Ⓢ ALGI.2E, Ⓢ ALGI.2F, Ⓡ ALGI.3B, Ⓡ ALGI.3C, Ⓢ ALGI.4C
Ⓡ ALGI.2A Determine the domain and range of
a linear function in mathematical problems,
determine reasonable domain and range values
for real-world situations, both continuous and
discrete, and represent domain and range using
inequalities.
1
Level of
Rigor (DOK) 1
Linear Functions, Equations, and
Inequalities. The student applies the
mathematical process standards when using
properties of linear functions to write and
represent in multiple ways, with and without
technology, linear equations, inequalities, and
systems of equations. The student is expected
to:
Question
Type
Standard
Question
Number
Suggested Administration Window: October 19 – 23, 2015
Q1
MC
2
Student identifies whether a given function, presented as a graph, is discrete
or continuous, and identifies its domain and range using inequality symbols.
Q2
MC
4
Student describes the domain and range of a function presented visually and
justifies the answer.
Details
Levels of rigor are based on Webb’s Depths of Knowledge. For further information, see http://schools.nyc.gov/NR/rdonlyres/522E69CC-02E3-4871-BC48-BB575AA49E27/0/WebbsDOK.pdf
GLOBAL GRADUATE
Question Type:
MC – Multiple Choice
R – Rubric (Open Response)
GR - Griddable
Question - Q
Page – p.
Questions - Qs
Pages – pp
© Houston ISD Curriculum 2015-2016
Page 1 of 8
Ⓢ ALGI.2B Write linear equations in two
variables in various forms, including
y = mx + b, Ax + By = C, and
y – y 1 = m(x – x 1 ), given one point and the
slope and given two points.
Linear Functions, Equations, and
Inequalities. The student applies the
mathematical process standards when using
properties of linear functions to write and
represent in multiple ways, with and without
technology, linear equations, inequalities, and
systems of equations. The student is expected
to:
Ⓡ ALGI.2C Write linear equations in two
variables given a table of values, a graph, and a
verbal description.
1
Level of
Rigor (DOK) 1
Linear Functions, Equations, and
Inequalities. The student applies the
mathematical process standards when using
properties of linear functions to write and
represent in multiple ways, with and without
technology, linear equations, inequalities, and
systems of equations. The student is expected
to:
Question
Type
Standard
Question
Number
2015-2016 FALL DISTRICT SNAPSHOT #2 OUTLINE
Details
Q1
MC
2
Student writes a linear equation in slope-intercept form, y = mx + b, given one
point and the slope, or when given two points.
Q2
MC
2
Student writes a linear equation in point-slope form, y – y 1 = m(x – x 1 ), given
one point and the slope, or when given two points.
Q3
MC
3
Student writes a linear equation in standard form given two points.
MC
3
Student writes a linear equation in two variables given a table of values.
MC
2
Student writes a linear equation in two variables given a verbal description.
Q1
Q2
Levels of rigor are based on Webb’s Depths of Knowledge. For further information, see http://schools.nyc.gov/NR/rdonlyres/522E69CC-02E3-4871-BC48-BB575AA49E27/0/WebbsDOK.pdf
GLOBAL GRADUATE
Question Type:
MC – Multiple Choice
R – Rubric (Open Response)
GR - Griddable
Question - Q
Page – p.
Questions - Qs
Pages – pp
© Houston ISD Curriculum 2015-2016
Page 2 of 8
Level of
Rigor (DOK) 1
Linear Functions, Equations, and
Inequalities. The student applies the
mathematical process standards when using
properties of linear functions to write and
represent in multiple ways, with and without
technology, linear equations, inequalities, and
systems of equations. The student is expected
to:
Question
Type
Standard
Question
Number
2015-2016 FALL DISTRICT SNAPSHOT #2 OUTLINE
Q1
MC
2
Student writes the equation of a line through a given point that is parallel to a
given line.
Q1
MC
2
Student writes the equation of a line through a given point that is
perpendicular to a given line.
Details
Ⓢ ALGI.2E Write the equation of a line that
contains a given point and is parallel to a given
line.
Linear Functions, Equations, and
Inequalities. The student applies the
mathematical process standards when using
properties of linear functions to write and
represent in multiple ways, with and without
technology, linear equations, inequalities, and
systems of equations. The student is expected
to:
Ⓢ ALGI.2F Write the equation of a line that
contains a given point and is perpendicular to a
given line.
1
Levels of rigor are based on Webb’s Depths of Knowledge. For further information, see http://schools.nyc.gov/NR/rdonlyres/522E69CC-02E3-4871-BC48-BB575AA49E27/0/WebbsDOK.pdf
GLOBAL GRADUATE
Question Type:
MC – Multiple Choice
R – Rubric (Open Response)
GR - Griddable
Question - Q
Page – p.
Questions - Qs
Pages – pp
© Houston ISD Curriculum 2015-2016
Page 3 of 8
Linear Functions, Equations, and
Inequalities. The student applies the
mathematical process standards when using
graphs of linear functions, their key features,
and their related transformations to represent in
multiple ways and solve, with and without
technology, equations, inequalities, and
systems of equations. The student is expected
to:
Ⓡ ALGI.3C Graph linear functions on the
coordinate plane and identify key features
including x-intercept, y-intercept, zeros, and
slope.
1
Level of
Rigor (DOK) 1
Linear Functions, Equations, and
Inequalities. The student applies the
mathematical process standards when using
graphs of linear functions, their key features,
and their related transformations to represent in
multiple ways and solve, with and without
technology, equations, inequalities, and
systems of equations. The student is expected
to:
Ⓡ ALGI.3B Calculate the rate of change of a
linear function represented tabularly,
graphically, or algebraically in context of
mathematical and real-world problem.
Question
Type
Standard
Question
Number
2015-2016 FALL DISTRICT SNAPSHOT #2 OUTLINE
Q1
GR
3
Student analyzes a linear function represented in a table and calculates the
rate of change.
Q2
GR
1
Student analyzes a linear function represented by a line and determines the
rate of change.
Q3
MC
2
Student investigates a real-world problem and calculates the rate of change.
Q1
MC
1
Student identifies the x-intercept from a given linear equation.
Q2
MC
1
Student identifies the y-intercept from a graph of a linear equation.
Details
Levels of rigor are based on Webb’s Depths of Knowledge. For further information, see http://schools.nyc.gov/NR/rdonlyres/522E69CC-02E3-4871-BC48-BB575AA49E27/0/WebbsDOK.pdf
GLOBAL GRADUATE
Question Type:
MC – Multiple Choice
R – Rubric (Open Response)
GR - Griddable
Question - Q
Page – p.
Questions - Qs
Pages – pp
© Houston ISD Curriculum 2015-2016
Page 4 of 8
Level of
Rigor (DOK) 1
Linear Functions, Equations, and
Inequalities. The student applies the
mathematical process standards to formulate
statistical relationships and evaluate their
reasonableness based on real-world data. The
student is expected to:
Question
Type
Standard
Question
Number
2015-2016 FALL DISTRICT SNAPSHOT #2 OUTLINE
Q1
MC
4
Ⓢ ALGI.4C Write, with and without technology,
linear functions that provide a reasonable fit to
data to estimate solutions and make predictions
for real-world problems.
1
Details
Student analyzes real world data to write a linear function that provides a
reasonable fit and makes a prediction from the data.
Levels of rigor are based on Webb’s Depths of Knowledge. For further information, see http://schools.nyc.gov/NR/rdonlyres/522E69CC-02E3-4871-BC48-BB575AA49E27/0/WebbsDOK.pdf
GLOBAL GRADUATE
Question Type:
MC – Multiple Choice
R – Rubric (Open Response)
GR - Griddable
Question - Q
Page – p.
Questions - Qs
Pages – pp
© Houston ISD Curriculum 2015-2016
Page 5 of 8
2015-2016 FALL DISTRICT SNAPSHOT #2 OUTLINE
Ⓡ ALGI.2A Determine the domain and range of a linear function in
1
Ⓢ ALGI.2B Write linear equations in two variables in various forms, including
mathematical problems, determine reasonable domain and range values for
real-world situations, both continuous and discrete, and represent domain and
range using inequalities.
y = mx + b, Ax + By = C, and y – y 1 = m(x – x 1 ), given one point and the slope
and given two points.
*Correct answer (D)
Released 2014 STAAR Test Q39
*Correct answer (A)
Released 2015 STAAR Test Q23
Levels of rigor are based on Webb’s Depths of Knowledge. For further information, see http://schools.nyc.gov/NR/rdonlyres/522E69CC-02E3-4871-BC48-BB575AA49E27/0/WebbsDOK.pdf
GLOBAL GRADUATE
Question Type:
MC – Multiple Choice
R – Rubric (Open Response)
GR - Griddable
Question - Q
Page – p.
Questions - Qs
Pages – pp
© Houston ISD Curriculum 2015-2016
Page 6 of 8
2015-2016 FALL DISTRICT SNAPSHOT #2 OUTLINE
Ⓡ ALGI.2C Write linear equations in two variables given a table of values, a
1
Ⓡ ALGI.3B Calculate the rate of change of a linear function represented
graph, and a verbal description.
tabularly, graphically, or algebraically in context of mathematical and real-world
problems.
*Correct answer (H)
Released 2013 STAAR Test Q30
*Correct answer (C)
Released 2014 STAAR Test Q3
Ⓢ ALGI.2E Write the equation of a line that contains a given point and is
Ⓢ ALGI.2F Write the equation of a line that contains a given point and is
parallel to a given line.
perpendicular to a given line.
No sample items available.
No sample items available.
Levels of rigor are based on Webb’s Depths of Knowledge. For further information, see http://schools.nyc.gov/NR/rdonlyres/522E69CC-02E3-4871-BC48-BB575AA49E27/0/WebbsDOK.pdf
GLOBAL GRADUATE
Question Type:
MC – Multiple Choice
R – Rubric (Open Response)
GR - Griddable
Question - Q
Page – p.
Questions - Qs
Pages – pp
© Houston ISD Curriculum 2015-2016
Page 7 of 8
2015-2016 FALL DISTRICT SNAPSHOT #2 OUTLINE
Ⓡ ALGI.3C Graph linear functions on the coordinate plane and identify key
Ⓢ ALGI.4C Write, with and without technology, linear functions that provide a
features including x-intercept, y-intercept, zeros, and slope in mathematical and
real-world problems.
reasonable fit to data to estimate solutions and make predictions for realworld problems.
*Correct answer (1)
Released 2013 STAAR Test Q27
*Correct answer (C)
Released 2015 STAAR Test Q33
Source: Texas Education Agency STAAR Released Test Questions
http://www.tea.state.tx.us/
http://lead4ward.com/resources/
1
Levels of rigor are based on Webb’s Depths of Knowledge. For further information, see http://schools.nyc.gov/NR/rdonlyres/522E69CC-02E3-4871-BC48-BB575AA49E27/0/WebbsDOK.pdf
GLOBAL GRADUATE
Question Type:
MC – Multiple Choice
R – Rubric (Open Response)
GR - Griddable
Question - Q
Page – p.
Questions - Qs
Pages – pp
© Houston ISD Curriculum 2015-2016
Page 8 of 8