SNEAKY SUMS—UNKNOWNS IN A GRID

Sneaky Sums is a game of logic that develops students’ early algebraic reasoning skills as they deduce the secret numerical values assigned to four geometric shapes. A 4 × 4 grid is randomly populated with circles, triangles, squares, hexagons, and blank spaces. Students can view the sum of the shapes in any row or column. Students use these sums as clues to determine the numerical values of the shapes. Each new random assignment of values and shapes in the grid creates a fresh challenge to solve.

OBJECTIVES
• Students will use logical reasoning skills to determine the unknown numerical values assigned to a collection of symbols.
• Students will develop, refine, and share intuitive strategies for solving algebraic equations without formal symbol manipulation.

COMMON CORE CONNECTIONS
Mathematical Practices

(1) Make sense of problems and persevere in solving them; (2) Reason abstractly and quantitatively; (3) Construct viable arguments and critique the reasoning of others; (5) Use appropriate tools strategically; (7) Look for and make use of structure.

Content Standards

6.EE2, 4, 5, 6; 7.EE4; 8.EE8 