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When patterns are repeated, how can I use the patterns to write equations?
LEARNING TARGETS TO BE ASSESSED:
LEARNING TARGETS TO BE ASSESSED:
I can recognize recursive relationships given a sequence, table, or graph. (F.IF.3)
I can distinguish between arithmetic and geometric relationships through the identification of first terms and common difference/ratios given a graph, table, or sequence. (F.LE.1c)
I can write arithmetic sequences recursively and as explicit linear functions, including to model situations. (F.BF.2)
I can convert between recursive and explicit equations for arithmetic sequences. (F.BF.2)
I can justify that linear functions grow by equal differences over equal intervals. (F.LE.1a)
CPM Resources
CPM Resources
5.1.1: How does the pattern grow? Representing Exponential Growth
5.1.2: How high will it bounce? Rebound Ratios
5.1.3: What is the pattern? The Bouncing Ball and Exponential Decay
5.2.1: How can I describe a sequence? Generating and Investigating Sequences
5.2.2: How do arithmetic sequences work? Recursive Sequences
5.2.3: How else can I write the equation? Patterns of Growth in Tables and Graphs
5.3.1: What is the rate of change? Comparing Growth in Tables and Graphs
5.3.2: How can I use a multiplier? Using Multipliers to Solve Problems
5.3.3: Is it a function? Comparing Sequences to Functions
Parent Guides
Parent Guides
5.1.1 - 5.1.3: Introduction to Sequences | Introducción a las progresiones
5.2.1 - 5.2.3: Equations for Sequences | Ecuaciones de progresiones
5.3.1: Patterns of Growth in Tables and Graphs | Patrones de crecimiento en tablas y gráficos
5.3.2: Writing Equations of Geometric Sequences | Escribir ecuaciones de progresiones geométricas
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