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
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