A description of prior learning that should support the learning of the concepts in this unit A description of how the concepts studied in this unit will support the learning of other mathematical concepts. Previous Math Courses Algebra II Unit 3 Future Mathematics Concepts developed in previous Key Concept(s) Concepts that a student will study either mathematics course/units which serve later in Algebra II or in future as a foundation for the development of mathematics courses for which this the will be a foundation. “Key Concept” “Key Concept” In Units 2 and 5 of Algebra I, students Transformations of graphs The knowledge of the general principle of have started to develop an understanding transformations will make work with of transformations of graphs of linear, functions in future courses more fluent. quadratic, absolute value and exponential functions In Unit 1 of Geometry students experiment with transformations of geometric figures in the plane. In Unit 1 of Algebra I, students have Arithmetic Sequences In Calculus, students will develop the started to develop an understanding of concept of area under the curve from the Connect arithmetic sequences to patterns and sequences by studying linear concept of sequences. This understanding linear functions. functions is the basis of the integral. Write arithmetic sequences both recursively and with an explicit formula Develop models for more complex or sophisticated situations than in previous courses. In Unit 5 of Algebra I, students have Geometric Sequences In Calculus, students will develop the started to develop an understanding of concept of area under the curve from the Connect geometric sequences to patterns and sequences by studying concept of sequences. This understanding exponential functions. exponential functions is the basis of the integral. Write geometric sequences both recursively and with an explicit formula
A description of prior learning that should support the learning of the concepts in this unit A description of how the concepts studied in this unit will support the learning of other mathematical concepts. Previous Math Courses Algebra II Unit 3 Future Mathematics Concepts developed in previous mathematics course/units which serve as a foundation for the development of the “Key Concept” Key Concept(s) Concepts that a student will study either later in Algebra II or in future mathematics courses for which this “Key Concept” will be a foundation. In Units 2 and 5 of Algebra I, students have started to develop an understanding of transformations of graphs of linear, quadratic, absolute value and exponential functions In Unit 1 of Geometry students experiment with transformations of geometric figures in the plane. Transformations of graphs The knowledge of the general principle of transformations will make work with functions in future courses more fluent. In Unit 1 of Algebra I, students have started to develop an understanding of patterns and sequences by studying linear functions Arithmetic Sequences Connect arithmetic sequences to linear functions. Write arithmetic sequences both recursively and with an explicit formula Develop models for more complex or sophisticated situations than in previous courses. In Calculus, students will develop the concept of area under the curve from the concept of sequences. This understanding is the basis of the integral. In Unit 5 of Algebra I, students have started to develop an understanding of patterns and sequences by studying exponential functions Geometric Sequences Connect geometric sequences to exponential functions. Write geometric sequences both recursively and with an explicit formula In Calculus, students will develop the concept of area under the curve from the concept of sequences. This understanding is the basis of the integral.
A2_UP_U3_Modeling_w_Functions.docx