defined recursively, notations, expressions and functions Solve problems with “Arithmetic whose domain is a with exponents percent, evaluate functions sequence and subset of the integers. Block 2: New with exponents series” For example, the Continue to explore arithmetic Block 2: New P 8-12 Fibonacci sequence is sequence Continue to arithmetic *Exploring defined recursively by Sigma notation as the sum of terms sequence rules “Geometry f(0) = f(1) = 1, f(n+1) = Definition of geometric sequence. Derive the formula for sequence and f(n) + f(n-1) for n 1. formula for geometric series arithmetic sequence series” ≥ Use Sigma notation as the F.BF.1: a function sum of terms that describes a Complete the arithmetic relationship between sequence from a two quantities. Derive the formula for Determine an explicit geometric series expression, a recursive process, or for calculation from a Block 3: Mind context. Review the concept and skill to Block 3: 1 F.BF.2: Write Arithmetic complete Guided Practice and Review the concept and skill to *Guide and Geometric Constructed Response complete Guided Practice and Practice sequence both Constructed Response *Constructed recursively and with an Response explicit formula, use (one-to-one them to model computer situations, and needed) translate between the two forms. More Practice F.LE.2: Construct linear P14-17 and exponential functions, including arithmetic and geometric sequences, given a graph, a description of a relationship, or two input-output pairs (include reading these from a table).
defined recursively, whose domain is a subset of the integers. For example, the Fibonacci sequence is defined recursively by f(0) = f(1) = 1, f(n+1) = f(n) + f(n-1) for n ≥ 1. F.BF.1: a function that describes a relationship between two quantities. Determine an explicit expression, a recursive process, or for calculation from a context. F.BF.2: Write Arithmetic and Geometric sequence both recursively and with an explicit formula, use them to model situations, and translate between the two forms. F.LE.2: Construct linear and exponential functions, including arithmetic and geometric sequences, given a graph, a description of a relationship, or two input-output pairs (include reading these from a table). notations, expressions and functions with exponents Block 2: New Continue to explore arithmetic sequence Sigma notation as the sum of terms Definition of geometric sequence. formula for geometric series Block 3: Review the concept and skill to complete Guided Practice and Constructed Response Solve problems with percent, evaluate functions with exponents Block 2: New Continue to arithmetic sequence rules Derive the formula for arithmetic sequence Use Sigma notation as the sum of terms Complete the arithmetic sequence from a Derive the formula for geometric series Block 3: Review the concept and skill to complete Guided Practice and Constructed Response “Arithmetic sequence and series” P 8-12 *Exploring “Geometry sequence and series” Mind 1 *Guide Practice *Constructed Response (one-to-one computer needed) More Practice P14-17