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Computing Square Roots with Iterative Sequences
Computing Square Roots with Iterative Sequences
Computing Square Roots with Iterative Sequences
Computing Square Roots with Iterative Sequences
Computing Square Roots with Iterative Sequences
Computing Square Roots with Iterative Sequences
Computing Square Roots with Iterative Sequences
Computing Square Roots with Iterative Sequences
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Description

Push Button, Get Answer – But How?

All modern-day calculators have buttons not just for the basic mathematical operations of addition and multiplication, but also for higher-level operations such as trigonometric functions, logarithms, and exponentials. However, at their core, calculators can only add two numbers at a time. That’s it. Every other operation must be programmed around the basic concept of addition. So, then, how do these programs work?

In this activity, we’ll answer that question for the square root function. You’ve probably pressed the “square root" key hundreds of times without thinking about it. Now, we’ll see what happens next.

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Computing Square Roots with Iterative Sequences

Charles Trantanella
18 Followers
FREE

Highlights

Digital downloads
Grades icon
Grades
9th - 12th
Standards icon
Standards
Pages
10
Answer Key
Included
Teaching Duration
1 hour

Description

Push Button, Get Answer – But How?

All modern-day calculators have buttons not just for the basic mathematical operations of addition and multiplication, but also for higher-level operations such as trigonometric functions, logarithms, and exponentials. However, at their core, calculators can only add two numbers at a time. That’s it. Every other operation must be programmed around the basic concept of addition. So, then, how do these programs work?

In this activity, we’ll answer that question for the square root function. You’ve probably pressed the “square root" key hundreds of times without thinking about it. Now, we’ll see what happens next.

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.

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Questions & Answers

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Standards

to see state-specific standards (only available in the US).
Interpret expressions that represent a quantity in terms of its context.
Rearrange formulas to highlight a quantity of interest, using the same reasoning as in solving equations. For example, rearrange Ohm’s law 𝘝 = 𝘭𝘙 to highlight resistance 𝘙.
Recognize that sequences are functions, sometimes defined recursively, whose domain is a subset of the integers. For example, the Fibonacci sequence is defined recursively by 𝘧(0) = 𝘧(1) = 1, 𝘧(𝘯+1) = 𝘧(𝘯) + 𝘧(𝘯-1) for 𝘯 greater than or equal to 1.
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