E Linear Equations, Lesson 1, Modeling Linear Functions (r. 2018) – LINEAR EQUATIONS Modeling Linear Equations Common Core Standards Next Generation Standards F-BF.A.1 Write a function that describes a F-BF.1 Write a function that describes a relationship between two quantities. two quantities. F-LE.A.2 Construct linear and exponential AI-F.LE.2 Construct a linear or exponential function including arithmetic and geometric sequences, symbolically given: given a graph, a description of a relationship, or two i) a graph; input-output pairs (include reading these from a ii) a description of the relationship; iii) two input-output pairs (include reading these from a table). PARCC: Tasks are limited to constructing linear and exponential functions in simple context (not multi-step). (Shared standard with Algebra II) Note: Tasks are limited to constructing linear and exponential functions in simple context (not multi-step). AI-F.LE.5 Interpret the parameters in a linear or F-LE.B.5 Interpret the parameters in a linear or function in terms of a context. function in terms of a context. (Shared standard with Algebra II) PARCC: Tasks have a real-world context. Exponential Note: Tasks have a real-world context. Exponential functions are limited to those with domains in the integers. functions are limited to those with domains in the and are of the form where a > 0 and b > 0 (b ≠ 1). AI-S.ID.7 Interpret the slope (rate of change) and the (constant term) of a linear model in the context of S-ID.C.7 Interpret the slope (rate of change) and the the data. intercept (constant term) of a linear model in the context of the data. LEARNING OBJECTIVES Students will be able to: 1) Overview of Lesson Teacher Centered Introduction Student Centered Activities Overview of Lesson guided practice anticipates, monitors, selects, sequences, and Teacher: connects student work - activate students’ prior knowledge - developing essential skills - vocabulary - Regents exam questions - learning objective(s) - formative assessment assignment (exit slip, explain the math, or journal - big ideas: direct instruction entry) - modeling VOCABULARY BIG IDEAS
E – Linear Equations, Lesson 1, Modeling Linear Functions (r. 2018) LINEAR EQUATIONS Modeling Linear Equations Common Core Standards F-BF.A.1 Write a function that describes a between two quantities. F-LE.A.2 Construct linear and exponential including arithmetic and geometric sequences, given a graph, a description of a relationship, or two input-output pairs (include reading these from a PARCC: Tasks are limited to constructing linear and exponential functions in simple context (not multi-step). F-LE.B.5 Interpret the parameters in a linear or function in terms of a context. PARCC: Tasks have a real-world context. Exponential functions are limited to those with domains in the integers. S-ID.C.7 Interpret the slope (rate of change) and the intercept (constant term) of a linear model in the context of the data. Next Generation Standards F-BF.1 Write a function that describes a relationship two quantities. AI-F.LE.2 Construct a linear or exponential function symbolically given: i) a graph; ii) a description of the relationship; iii) two input-output pairs (include reading these from a table). (Shared standard with Algebra II) Note: Tasks are limited to constructing linear and exponential functions in simple context (not multi-step). AI-F.LE.5 Interpret the parameters in a linear or function in terms of a context. (Shared standard with Algebra II) Note: Tasks have a real-world context. Exponential functions are limited to those with domains in the and are of the form where a > 0 and b > 0 (b ≠ 1). AI-S.ID.7 Interpret the slope (rate of change) and the (constant term) of a linear model in the context of the data. LEARNING OBJECTIVES Students will be able to: 1) Overview of Lesson Teacher Centered Introduction Overview of Lesson - activate students’ prior knowledge - vocabulary - learning objective(s) - big ideas: direct instruction - modeling Student Centered Activities guided practice Teacher: anticipates, monitors, selects, sequences, and connects student work - developing essential skills - Regents exam questions - formative assessment assignment (exit slip, explain the math, or journal entry) VOCABULARY BIG IDEAS