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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).

Squares on a Chessboard

Preview: 

Students investigate how many squares there are on a chessboard of any size.

Grade: 
Grade 8
Grade 9
Task Type: 
Project
Big Idea: 
Grade 8: Number represents, describes, and compares the quantities of ratios, rates, and percents.
Grade 9: The principles and processes underlying operations with numbers apply equally to algebraic situations and can be described and analyzed.
Curricular Competency: 
Reasoning and analyzing: Use reasoning to explore and make connections
Reasoning and analyzing: Model mathematics in contextualized experiences
Understanding and solving: Develop and use multiple strategies to engage in problem solving
Communicating and representing: Communicate mathematical thinking in many ways
Communicating and representing: Explain and justify mathematical ideas and decisions

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