Study Guide for Snapshot 5

2015-2016 SPRING DISTRICT SNAPSHOT 5 OUTLINE
Subject: Mathematics
Grade: Algebra I
Snapshot: #5
Standards: Ⓢ ALGI.2B, Ⓡ ALGI.2C, Ⓡ ALGI.3B, Ⓡ ALGI.3C, Ⓡ ALGI.5A, Ⓡ ALGI.6A, Ⓡ ALGI.7A, Ⓢ ALGI.7B, Ⓡ ALGI.8A
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: February 29, 2016 – March 4, 2016
Q1
MC
2
Students write the equation of a line in standard form given the slope and a
point.
Q1
MC
2
Students write the equation of a line given a verbal description.
Details
Ⓢ 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
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
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:
Question
Type
Standard
Question
Number
2015-2016 SPRING DISTRICT SNAPSHOT 5 OUTLINE
Q1
GR
3
Students calculate the rate of change in a real-world problem.
Q1
MC
1
Students determine the zero of a function given a table of values.
Details
Ⓡ ALGI.3B Calculate the rate of change of a
linear function represented tabularly, graphically,
or algebraically in context of mathematical and
real-world problems.
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 in mathematical and real-world problems.
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.5A Solve linear equations in one
variable, including those for which the application
of the distributive property is necessary and
includes variables on both sides.
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:
Ⓡ 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, yintercept, zeros, maximum value, minimum
values, vertex, and the equation of the axis of
symmetry.
1
Level of
Rigor (DOK) 1
Linear Functions, Equations, and Inequalities.
The student applies the mathematical process
standards to solve, with and without technology,
linear equations and evaluate the
reasonableness of their solutions. The student is
expected to:
Question
Type
Standard
Question
Number
2015-2016 SPRING DISTRICT SNAPSHOT 5 OUTLINE
Q1
GR
2
Students solve a linear equation from a verbal description of a real-world
problem.
Q1
MC
3
Students determine the domain and range of a quadratic function with given
constraints, and represent the domain and range using inequalities.
Q2
MC
2
Students determine the domain of a quadratic function given values in the
range.
Q3
MC
3
Students determine the range of a quadratic function from a verbal description
with given constraints.
Q1
GR
2
Students determine the maximum value of a quadratic function.
Q2
MC
1
Students identify and interpret the meaning of the y-intercept of a quadratic
function.
Q3
MC
3
Students use the graph of a quadratic function to determine the price
necessary to maximize revenue.
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
Question
Number
Question
Type
Level of
Rigor (DOK) 1
2015-2016 SPRING DISTRICT SNAPSHOT 5 OUTLINE
Q1
MC
1
Students determine the relationship between the zeros and linear factors of a
function.
Ⓢ ALGI.7B Describe the relationship between
the linear factors of quadratic expressions and
the zeros of their associated quadratic functions.
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 real-world data.
The student is expected to:
Q1
MC
2
Students solve a real-world quadratic equation by taking square roots.
Q2
GR
3
Students solve a real-world quadratic equation and approximate the solution.
Ⓡ ALGI.8A Solve quadratic equations, having
real solutions by factoring, taking square roots,
completing the square, and applying the
quadratic formula.
Q3
MC
2
Students determine the solution(s) 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:
1
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 7
2015-2016 SPRING DISTRICT SNAPSHOT 5 OUTLINE
Ⓢ 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.
*Correct answer (A)
Released 2015 STAAR Test Q23
1
Ⓡ ALGI.2C Write linear equations in two variables given a table of values, a
graph, and a verbal description.
*Correct answer (H)
Released 2013 STAAR Test Q30
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 5 OUTLINE
1
Ⓡ ALGI.3B Calculate the rate of change of a linear function represented
Ⓡ ALGI.3C Graph linear functions on the coordinate plane and identify key
tabularly, graphically, or algebraically in context of mathematical and realworld problems.
features including x-intercept, y-intercept, zeros, and slope in mathematical and
real-world problems.
*Correct answer (H)
Released 2015 STAAR Test Q8
*Correct answer (C)
Released 2015 STAAR Test Q41
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 5 OUTLINE
Ⓡ ALGI.7A Graph quadratic functions on the coordinate plane and use the
Ⓡ ALGI.8A Solve quadratic equations, having real solutions by factoring,
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.
taking 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
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