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  • Deprecated function: Return type of DatabaseStatementBase::execute($args = [], $options = []) should either be compatible with PDOStatement::execute(?array $params = null): bool, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in require_once() (line 2244 of /home/dh_mzah78/paperlessmath.com/includes/database/database.inc).
  • Deprecated function: Return type of DatabaseStatementEmpty::current() should either be compatible with Iterator::current(): mixed, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in require_once() (line 2346 of /home/dh_mzah78/paperlessmath.com/includes/database/database.inc).
  • Deprecated function: Return type of DatabaseStatementEmpty::next() should either be compatible with Iterator::next(): void, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in require_once() (line 2346 of /home/dh_mzah78/paperlessmath.com/includes/database/database.inc).
  • Deprecated function: Return type of DatabaseStatementEmpty::key() should either be compatible with Iterator::key(): mixed, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in require_once() (line 2346 of /home/dh_mzah78/paperlessmath.com/includes/database/database.inc).
  • Deprecated function: Return type of DatabaseStatementEmpty::valid() should either be compatible with Iterator::valid(): bool, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in require_once() (line 2346 of /home/dh_mzah78/paperlessmath.com/includes/database/database.inc).
  • Deprecated function: Return type of DatabaseStatementEmpty::rewind() should either be compatible with Iterator::rewind(): void, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in require_once() (line 2346 of /home/dh_mzah78/paperlessmath.com/includes/database/database.inc).

Twisted Loops

Preview: 

Students investigate the relationship between nodes, arcs and regions for any twisted loop of string.

Grade: 
Grade 8
Task Type: 
Project
Big Idea: 
Grade 8: Number represents, describes, and compares the quantities of ratios, rates, and percents.
Curricular Competency: 
Reasoning and analyzing: Use reasoning to explore and make connections
Understanding and solving: Develop, demonstrate, and apply mathematical understanding through play, inquiry, and problem solving
Understanding and solving: Visualize to explore mathematical concepts
Communicating and representing: Communicate mathematical thinking in many ways
Communicating and representing: Explain and justify mathematical ideas and decisions

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