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Fibonacci Sequences WORKSHEET
Suitable for Grades: Algebra I, IM 1
CCSS: HSF.BF.A.2
CCSS Description: Write arithmetic and geometric sequences both recursively and with an explicit formula; use them to model situations and translate between the two forms.
Fibonacci Sequences WORKSHEET DESCRIPTION
This worksheet introduces students to Fibonacci and Fibonacci-style sequences, giving them the opportunity to recognize patterns and extend sequences in a variety of contexts.
In Section A, learners fill in missing terms in the classic Fibonacci sequence before tackling sequences that follow the same rule with different starting values, including negative terms.
Section B builds on this by introducing algebraic Fibonacci-style sequences, where letters replace numbers and students must use their knowledge of expressions to generate terms.
Section C increases the challenge further with sequences in algebraic expressions, as well as questions requiring reasoning to find unknown terms or solve for variables.
The progression of tasks supports fluency, problem solving, and a deeper understanding of how recurrence relationships can be expressed.
In Section A, learners fill in missing terms in the classic Fibonacci sequence before tackling sequences that follow the same rule with different starting values, including negative terms.
Section B builds on this by introducing algebraic Fibonacci-style sequences, where letters replace numbers and students must use their knowledge of expressions to generate terms.
Section C increases the challenge further with sequences in algebraic expressions, as well as questions requiring reasoning to find unknown terms or solve for variables.
The progression of tasks supports fluency, problem solving, and a deeper understanding of how recurrence relationships can be expressed.
All worksheets are created by the team of experienced teachers at Cazoom Math.
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Frequently Asked Questions
This fibonacci sequences worksheet is designed for students in Algebra I and IM 1 and aligns with Common Core State Standards.