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K-12 Categories

Illuminations: Heart Plot

How do I love thee?  Let me plot the ways!

A heart is drawn on a coordinate plane by plotting the following points and connecting them:

·     The coordinates of the points are (nn),
(n – 3, n + 3), (n – 6, n), (n – 9, n + 3),
(n – 12, n), (n – 12, n – 3), (n – 6, n – 9),
and (nn –3).

·     The coordinates of one point are (2, 14).

·     All coordinates are positive integers.

What is the value of n?

This brainteaser was written by Julia Zurkovsky.


Math Topics
Algebra & Pre-Algebra, Functions & Graphs
Middle School, High School
8th Grade, 10th Grade, 11th Grade, 12th Grade
Descriptions of PDFs

Problem and solution

What are you looking for?

Organization

National Council of Teachers of Mathematics

Website URL

Type of Resource

Activity Sheet
PDF File

Assigned Categories

Resource k12

Illuminations: Heart Plot

How do I love thee?  Let me plot the ways!

A heart is drawn on a coordinate plane by plotting the following points and connecting them:

·     The coordinates of the points are (nn),
(n – 3, n + 3), (n – 6, n), (n – 9, n + 3),
(n – 12, n), (n – 12, n – 3), (n – 6, n – 9),
and (nn –3).

·     The coordinates of one point are (2, 14).

·     All coordinates are positive integers.

What is the value of n?

This brainteaser was written by Julia Zurkovsky.


Math Topics
Algebra & Pre-Algebra, Functions & Graphs
Middle School, High School
8th Grade, 10th Grade, 11th Grade, 12th Grade
Descriptions of PDFs

Problem and solution

What are you looking for?

Organization

National Council of Teachers of Mathematics

Website URL

Type of Resource

Activity Sheet
PDF File

Assigned Categories