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
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