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Lesson 6 (Representing Patterns). Guidelines to represent data algebraically:. Identify what quantities are representing data Look for patterns Use symbols to translate into an expression Check the expression for given values. Lesson 6 ( Representing Patterns). Example.
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Lesson 6 (Representing Patterns) • Guidelines to represent data algebraically: • Identify what quantities are representing data • Look for patterns • Use symbols to translate into an expression • Check the expression for given values
Lesson 6 (Representing Patterns) • Example • A science class plants seedlings that are 3 cm tall and monitors their growth over a 4 week period. The average height at the end of each of the 4 weeks is given. Write an expression that could represent the height of the seedlings after n weeks if the pattern continues.
Lesson 6 (Representing Patterns) • Example • What rule expresses the functional relationship between x and y shown in the table?
Lesson 6 (Representing Patterns) • Example • If the pattern continues, write an expression to find the number of dots in the nth step.
Lesson 6 (Representing Patterns) • Example • The school’s dance team is selling flowers as a fundraiser. They have 2 companies to choose from: • Option 1: Roses-R-Red will sell roses for a fixed down payment of $20 and additional $0.75 per rose. • Option 2: Flower Power will sell its roses for a fixed down payment of $60, and additional $0.50 per rose.
Lesson 6 (Representing Patterns) • Use the chart to determine which company would be better to go with.