Core Skills Analysis
English
- Elizabeth articulated the game rules using clear, sequential language, demonstrating command of standard English conventions (CCSS.ELA-Literacy.L.9-10.1).
- She employed parallel structure when listing her possible moves, meeting the parallel‑structure requirement of CCSS.ELA-Literacy.L.9-10.1.a.
- Elizabeth used a colon to introduce a list of strategic options, aligning with CCSS.ELA-Literacy.L.9-10.2.b.
- She identified and correctly spelled game‑specific terminology (e.g., “polyomino,” “corner‑touch”), satisfying CCSS.ELA-Literacy.L.9-10.2.c.
Math
- Elizabeth applied geometric reasoning to visualize how each polyomino would fit on the board, fulfilling CCSS.Math.Content.HSF.IF.A.1 (function concept) by treating each placement as a mapping from a piece to board coordinates.
- She calculated the area covered by each piece and compared total coverage, meeting CCSS.Math.Content.HSN.Q.A.1’s emphasis on units and quantitative reasoning.
- By evaluating multiple move options, she implicitly used function notation f(move)=remaining squares, satisfying CCSS.Math.Content.HSF.IF.A.2.
- Elizabeth interpreted the game’s increasing difficulty as a decreasing function of available space, aligning with CCSS.Math.Content.HSF.IF.B.4’s focus on interpreting key graph features.
Tips
Encourage Elizabeth to write a reflective journal entry describing a particularly challenging turn, focusing on the language used to explain her strategy and the mathematical concepts involved. Have her create a visual diagram of the board after each move, labeling dimensions and area covered, then convert those observations into a simple function table. Invite her to design a variant of Blokus with new piece shapes, requiring her to draft clear rule explanations and calculate the new pieces' geometric properties. Finally, set up a friendly tournament where she records her moves, analyzes patterns, and presents findings using both written reports and graphical representations.
Book Recommendations
- The Number Devil: A Mathematical Adventure by Hans Magnus Enzensberger: A whimsical journey through mathematical concepts that mirrors the strategic thinking in games like Blokus.
- Word Play: A Puzzle Book for Language Lovers by Molly L. Hargreaves: Explores the power of language through puzzles, encouraging precise, creative expression—perfect for game‑rule writing.
- The Geometry of Art and Life by Matthias Schattschneider: Shows how geometric ideas shape games, art, and everyday design, linking Elizabeth's board‑game experience to broader mathematical ideas.
Learning Standards
- CCSS.ELA-Literacy.L.9-10.1 – Command of conventions demonstrated in rule explanation.
- CCSS.ELA-Literacy.L.9-10.1.a – Parallel structure used in listing moves.
- CCSS.ELA-Literacy.L.9-10.2.b – Colon introduced strategic list.
- CCSS.ELA-Literacy.L.9-10.2.c – Correct spelling of game terminology.
- CCSS.Math.Content.HSN.Q.A.1 – Use of units and quantitative reasoning for area coverage.
- CCSS.Math.Content.HSF.IF.A.1 – Understanding placement as a function mapping.
- CCSS.Math.Content.HSF.IF.A.2 – Evaluating function notation for moves.
- CCSS.Math.Content.HSF.IF.B.4 – Interpreting decreasing space as a function feature.
Try This Next
- Worksheet: Create a table listing each piece, its number of squares, and the total area it could potentially occupy on an empty board.
- Quiz Prompt: Ask Elizabeth to write three sentences using a colon, a semicolon, and parallel structure to describe a winning strategy.
- Drawing Task: Sketch the final board configuration, label coordinates, and annotate the sequence of moves as a step‑by‑step algorithm.