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Leo's Pattern: Exploring Addition and Subtraction Using the Fibonacci Sequence

Grade Levels
4th - 9th
Formats Included
  • PDF
18 pages
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Based on the famous Fibonacci sequence, this activity helps students develop numbers sense as they work with addition and subtraction. Decimals and integers are easily incorporated, and estimation skills are honed. It is a nice activity for the teacher since much of the work is self-correcting. Problem solving strategies can be taught, and students can even use algebra as a tool.
Includes comprehensive instructions and examples, journal prompts, extensions, answer key, blank masters, and eight homework masters.
Total Pages
18 pages
Answer Key
Teaching Duration
3 days
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to see state-specific standards (only available in the US).
Understand that rational expressions form a system analogous to the rational numbers, closed under addition, subtraction, multiplication, and division by a nonzero rational expression; add, subtract, multiply, and divide rational expressions.
Apply properties of operations as strategies to add and subtract rational numbers.
Understand subtraction of rational numbers as adding the additive inverse, 𝘱 – 𝘲 = 𝘱 + (–𝘲). Show that the distance between two rational numbers on the number line is the absolute value of their difference, and apply this principle in real-world contexts.
Fluently add, subtract, multiply, and divide multi-digit decimals using the standard algorithm for each operation.
Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used.


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