2015-2016 SPRING DISTRICT SNAPSHOT 6 OUTLINE
Subject: Mathematics
Grade: Algebra I
Snapshot: #6
Standards: Ⓡ ALGI.6A, Ⓡ ALGI.7A, Ⓡ ALGI.7C, Ⓡ ALGI.8A, Ⓡ ALGI.9C, Ⓡ ALGI.9D, Ⓢ ALGI.12B
Level of
Rigor (DOK) 1
Quadratic Functions and Equations. The
student applies the mathematical process
standards when using properties of quadratic
functions to write and represent in multiple
ways, with and without technology, quadratic
equations. The student is expected to:
Question
Type
Standard
Question
Number
Suggested Administration Window: April 4 – 8, 2016
Q1
MC
2
Students determine the domain of a quadratic function from a graph and
represent the domain using inequalities.
Q1
GR
2
Students determine attributes of a quadratic function within a real-world
situation.
Q2
MC
2
Students interpret a graph representing a quadratic function and identify an
inaccurate statement describing the function’s characteristics.
Q3
MC
3
Students analyze a real-world scenario involving a quadratic function and
evaluate statements about the function for accuracy.
Details
Ⓡ ALGI.6A Determine the domain and range of
quadratic functions, and represent the domain
and range using inequalities.
Quadratic Functions and Equations. The
student applies the mathematical process
standards when using graphs of quadratic
functions and their related transformations to
represent in multiple ways and determine, with
and without technology, the solutions to
equations. The student is expected to:
Ⓡ ALGI.7A Graph quadratic functions on the
coordinate plane and use the graph to identify
key attributes, if possible, including x-intercept,
y-intercept, zeros, maximum value, minimum
values, vertex, and the equation of the axis of
symmetry.
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 1 of 7
Question
Number
Question
Type
Level of
Rigor (DOK) 1
2015-2016 SPRING DISTRICT SNAPSHOT 6 OUTLINE
Q1
MC
2
Students determine what transformations have been applied to the quadratic
parent function.
Q2
MC
3
Ⓡ ALGI.7C Determine the effects on the graph
of the parent function f(x) = x2 when f(x) is
replaced by a·f(x), f(x) + d, f(x – c), f(b·x) for
specific values of a, b, c and d.
Students determine the effects of transformations on the graph of the
quadratic parent function represented symbolically.
Q3
MC
4
Students determine the effects of transformations on the quadratic parent
function represented verbally, and apply those transformations to determine
an element in the range of the transformed function.
Quadratic Functions and Equations. The
student applies the mathematical process
standards to solve, with and without technology,
quadratic equations and evaluate the
reasonableness of their solutions. The student
formulates statistical relationships and
evaluates their reasonableness based on realworld data. The student is expected to:
Q1
GR
2
Students determine the solution to a quadratic equation.
Standard
Quadratic Functions and Equations. The
student applies the mathematical process
standards when using graphs of quadratic
functions and their related transformations to
represent in multiple ways and determine, with
and without technology, the solutions to
equations. The student is expected to:
Details
Ⓡ ALGI.8A Solve quadratic equations, having
real solutions by factoring, taking square roots,
completing the square, and applying the
quadratic formula.
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 2 of 7
Ⓡ ALGI.9C Write exponential functions in the
form f(x) = a·bx (where b is a rational number) to
describe problems arising from mathematical
and real-world situations including growth and
decay.
Exponential Functions and Equations. The
student applies the mathematical process
standards when using properties of exponential
functions and their related transformations to
write, graph, and represent in multiple ways
exponential equations, and evaluate, with and
without technology, the reasonableness of their
solutions. The student formulates statistical
relationships and evaluates their
reasonableness based on real-world data. The
student is expected to:
Ⓡ ALGI.9D Graph exponential functions that
model growth and decay and identify key
features, including y-intercept and asymptote, in
mathematical and real-world problems.
1
Level of
Rigor (DOK) 1
Exponential Functions and Equations. The
student applies the mathematical process
standards when using properties of exponential
functions and their related transformations to
write, graph, and represent in multiple ways
exponential equations, and evaluate, with and
without technology, the reasonableness of their
solutions. The student formulates statistical
relationships and evaluates their
reasonableness based on real-world data. The
student is expected to:
Question
Type
Standard
Question
Number
2015-2016 SPRING DISTRICT SNAPSHOT 6 OUTLINE
Q1
MC
2
Students write an exponential function that models the depreciated value of a
car.
Q2
MC
2
Students determine the equation of an exponential function from a real-world
verbal description.
Q3
MC
2
Students determine the equation of an exponential function given a set of
ordered pairs.
Q1
MC
2
Students determine the equation of the horizontal asymptote of an exponential
function.
Q2
MC
2
Students identify the graph and other key attributes of an exponential function.
Q3
MC
2
Students determine key attributes of an exponential function in a real-world
problem.
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 3 of 7
Level of
Rigor (DOK) 1
Number and Algebraic Methods. The student
applies the mathematical process standards
and algebraic methods to write, solve, analyze,
and evaluate equations, relations, and
functions. The student is expected to:
Question
Type
Standard
Question
Number
2015-2016 SPRING DISTRICT SNAPSHOT 6 OUTLINE
Q1
GR
3
Details
Students evaluate or solve a function from a real-word scenario.
Ⓢ ALGI.12B Evaluate functions, expressed in
function notation, given one or more elements
in their domains.
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 4 of 7
2015-2016 SPRING DISTRICT SNAPSHOT 6 OUTLINE
1
Ⓡ ALGI.7A Graph quadratic functions on the coordinate plane and use the
Ⓡ ALGI.8A Solve quadratic equations, having real solutions by factoring, taking
graph to identify key attributes, if possible, including x-intercept, y-intercept,
zeros, maximum value, minimum values, vertex, and the equation of the
axis of symmetry.
square roots, completing the square, and applying the quadratic formula.
*Correct answer (D)
Released 2015 STAAR Test Q17
*Correct answer (B)
Released 2015 STAAR Test Q37
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 7
2015-2016 SPRING DISTRICT SNAPSHOT 6 OUTLINE
1
Ⓡ ALGI.9C Write exponential functions in the form f(x) = a·bx (where b is a
Ⓡ ALGI.9D Graph exponential functions that model growth and decay and
rational number) to describe problems arising from mathematical and realworld situations including growth and decay.
identify key features, including y-intercept and asymptote, in mathematical and
real-world problems.
*Correct answer (B)
Released 2013 STAAR Test Q7
*Correct answer (H)
Released 2015 STAAR Test Q22
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 7
2015-2016 SPRING DISTRICT SNAPSHOT 6 OUTLINE
Ⓢ ALGI.12B Evaluate functions, expressed in function notation, given one or
more elements in their domains.
*Correct answer (H)
Released 2015 STAAR Test Q48
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 7 of 7