MATH LESSON & MATH LAB - The Fibonacci Sequence
Jean's MATH
3 Followers
Grade Levels
6th - 10th, Adult Education, Homeschool
Subjects
Resource Type
Standards
CCSS8.NS.A.1
CCSS8.EE.A.1
CCSS8.EE.A.2
CCSS8.EE.C.7
CCSS8.F.A.1
Formats Included
- PDF
- Excel Spreadsheets
Pages
12 pages
Jean's MATH
3 Followers
Description
Have students discover, for themselves, both the Fibonacci sequence and the golden ratio in this very fun lesson about patterns!
This is a tried and true math lesson and lab that I have created and used for many years with my 7th and 8th grade classes. Students use a fancy formula derived by mathematician Jacques Philippe Marie Binet that will figure out any number in the Fibonacci sequence. And, they find out more about the special number phi.
In the MATH LESSON, students will ...
- evaluate an expression for different values of a variable
- work with an expression containing fractions, radicals, and exponents
- discuss mathematical patterns and predict outcomes
- chart and consolidate relevant data
- think algebraically and set up expressions and equations in one variable
- recognize and appreciate the mathematics of Fibonacci numbers and the golden ratio and research examples of both in our natural world
- learn facts about 4 different mathematicians: Fibonacci, Binet, Lucas, and de Moivre
- calculate with paper, pencil, and calculator
In the MATH LAB, students will...
- design a spreadsheet and write formulas to output the first 50 terms of the Fibonacci sequence as well as any Fibonacci number and discover the number phi
- learn about functions words and their uses in Excel, Google Sheets, or other spreadsheet software
Total Pages
12 pages
Answer Key
Included
Teaching Duration
N/A
Report this resource to TPT
Reported resources will be reviewed by our team. Report this resource to let us know if this resource violates TPT’s content guidelines.
Standards
to see state-specific standards (only available in the US).
CCSS8.NS.A.1
Know that numbers that are not rational are called irrational. Understand informally that every number has a decimal expansion; for rational numbers show that the decimal expansion repeats eventually, and convert a decimal expansion which repeats eventually into a rational number.
CCSS8.EE.A.1
Know and apply the properties of integer exponents to generate equivalent numerical expressions. For example, 3² × (3⁻⁵) = (3⁻³) = 1/3³ = 1/27.
CCSS8.EE.A.2
Use square root and cube root symbols to represent solutions to equations of the form 𝘹² = 𝘱 and 𝘹³ = 𝘱, where 𝘱 is a positive rational number. Evaluate square roots of small perfect squares and cube roots of small perfect cubes. Know that √2 is irrational.
CCSS8.EE.C.7
Solve linear equations in one variable.
CCSS8.F.A.1
Understand that a function is a rule that assigns to each input exactly one output. The graph of a function is the set of ordered pairs consisting of an input and the corresponding output.
Reviews
Questions & Answers
3 Followers
