Course: Algebra I Estimated Pacing Weeks 1-2 Focus TEKS Student Expectations Concept: Foundations of Functions Unit: Patterns: (10 days) A.1 The student understands that a function represents a dependence of one quantity on another and can be described in a variety of ways. The student is expected to: A.1D: represent relationships among quantities using concrete models, tables, graphs, diagrams, verbal descriptions, equations, and inequalities. RC1. A.2 The student uses the properties and attributes of functions. The student is expected to: A.2A: identify and sketch the general forms of linear (y=x) and quadratic (y=x²) parent functions**. RC2 A.2C: interpret situations in terms of given graphs or create situations that fit given graphs. RC2. A.3 The student understands how algebra can be used to express generalizations and recognizes and uses the power of symbols to represent situations. The student is expected to: A.3B: look for patterns and represent generalizations algebraically. RC2 © 2011Austin Independent School District Austin ISD Grading Period Snapshot (GPS) First Six Weeks – Aug 22 – Sept 30 (29 days) What Teachers Do What Students Do Introduce working in pairs/groups; establish group norms and expectations for independent work and flexible grouping options Establish lesson model for rigorous tasks & accountable talk: SetUp/Launch; Explore; Share/ Analyze/Discuss; Summary This is functions- based Algebra, which is why we start with foundations for functions to introduce and clarify terminology and procedures. Differentiation: Consider setting up your classroom as a coordinate plane. Use students/desks as locations of coordinates. Ask questions to assess student understanding of coordinates, ordered pairs, etc. Engage students in discussions related to the Essential Questions Ensure students generate multiple solution paths with the pattern problems Practice with the graphing calculators and the CBR to help students make connections to linear functions and implement state mandated technology requirements Provide opportunities for interdisciplinary connections through reading and writing activities. Students work individually and in pairs. Students use Technology: graphing calculators and calculatorbased rangers (CBR) are used to differentiate for visual learners Students help generate the criteria for graphing assignments or poster projects. Several posters will be generated from activities. Students make presentations about their solution strategies. Students graph functions for whole number and rational ordered pairs and determine the quadrant a point will lie in. Students determine connections between a pattern model, a table, a graph, a verbal description, and a rule for the function represented in a pattern. Students will be able to describe the nth figure with an algebraic expression and determine several ways expressions can be physically linked to a pattern. Course Algebra 1 Page 1 of 2 2011 – 2012 Student Work Products/Assessment Evidence Vocabulary on word wall, notebook, etc.: Essential Vocabulary: input, output, relation, domain, range, function, function rule, function notation Supporting Vocabulary: coordinate plane, quadrant, origin, axes, x-axis, y axis, ordered pair, x-coordinate, y-coordinate, independent variable, dependent variable Students track their progress using prior TAKS data Assessments to monitor progress: -exit slips -interim assessments -unit assessments -Mathematical Assessment Tasks -Dana Center Algebra 1 Assessments -Short Cycle assessments updated 7/1/2016 Course: Algebra I Estimated Pacing Weeks 3-6 Austin ISD Grading Period Snapshot (GPS) First Six Weeks – Aug 22 – Sept 30 (29 days) Focus TEKS Student Expectations Concept: Attributes of Functions Unit: Functional Relationships: (19 days) A.1 The student understands that a function represents a dependence of one quantity on another and can be described in a variety of ways. The student is expected to: A.1A: describe independent and dependent quantities in functional relationships; RC1 A.1B: gather and record data and use data sets to determine functional relationships between quantities. RC1 A.1C: describe functional relationships for given problem situations and write equations or inequalities to answer questions arising from the situations; RC1 A.1D: represent relationships among quantities using concrete models, tables, graphs, diagrams, verbal descriptions, equations, and inequalities. RC1. A.1E: interpret and make decisions, predictions, and critical judgments from functional relationships. RC1 A.2 The student uses the properties and attributes of functions. The student is expected to: A.2A: identify and sketch the general forms of linear (y=x) and quadratic (y=x²) parent functions. RC2 A.2B: identify mathematical domains and ranges and determine reasonable domain and range values for given situations, both continuous and discrete; RC2 A.2C: interpret situations in terms of given graphs or create situations that fit given graphs. RC2. A.2D Collect and organize data, make and interpret scatter plots, and model, predict, and make decisions and critical judgments in problem situations RC2 A.3 The student understands how algebra can be used to express generalizations and recognizes and uses the power of symbols to represent situations. The student is expected to: A.3A: use symbols to represent unknowns and variables; RC2 A.3B: look for patterns and represent generalizations algebraically. RC2 © 2011Austin Independent School District What Teachers Do Engage students in discussions related to the Essential Questions Having students explore linear functions graphed on the coordinate plane to model real world phenomena and allow for analysis of trends and making predictions. Have students match graphs to relationships and sketch a graph for a stated relationships described as a situation. Help students translate verbal descriptions and problems into symbols to write an expression or equation Having student groups using hands on technology activities are important to understand functions concepts such as independent and dependent variables, domain, range, etc. Provide opportunities to collect and organize real data and make connections to other disciplines such as science Provide opportunities for interdisciplinary connections through reading and writing activities. What Students Do Students work individually and in pairs or groups of three. Students use Technology: graphing calculators and make connections to the data graphs generated. A math journal is used to have students record their understandings including questions, confusion, etc. Students develop a process for sketching a graph from a given situation. Students collect data and interpret multiple ways of organizing data to make predictions and solve problems Students discuss how to determine if a relationship is a function and important components of a function (such as independent and dependent variables, domain, and range, etc.) Several posters will be generated from activities. Students will also be making presentations about their solution strategies. Course Algebra 1 Page 2 of 2 2011 – 2012 Student Work Products/Assessment Evidence Vocabulary on word wall, notebook, etc.: Essential Vocabulary: relation, function, range, domain, mapping diagram, rate of change, constant rate, y-intercept, slope, mathematical rule, independent variable, dependent variable, function rule, function notation, input, output, Supporting Vocabulary: evaluate, graph, ordered pair, scatter plot, correlation - positive, negative & none, trend line, data, order of operations Assessments to monitor progress: -exit slips, - interim assessments -unit assessments -Mathematical Assessment Tasks -Dana Center Algebra 1 Assessments -Short cycle assessments updated 7/1/2016