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Substitution

Substitution Magic Squares WORKSHEET

Suitable for Grades: 6th Grade
CCSS: 6.EE.A.2.C
CCSS Description: Evaluate expressions at specific values of their variables. Include expressions that arise from formulas used in real-world problems. Perform arithmetic operations, including those involving whole-number exponents, in the conventional order when there are no parentheses to specify a particular order (Order of Operations). For example, use the formulas V = s3 and A = 6 s2 to find the volume and surface area of a cube with sides of length s = 1/2.

Substitution Magic Squares WORKSHEET DESCRIPTION

Consisting of eight different puzzles to solve, this assignment provides engaging substitution practice for your learners.

Section A is made up of five magic squares, and within them each cell contains an expression in terms of a, b and c. Students are given a value for each variable. They must substitute these values in to find the value of each cell. Finally, students will find the sum of each row, column, and diagonal of the magic square (which should all be the same) in order to identify the magic number. Learners will calculate with both positive and negative numbers.

Students will complete three of these puzzles in reverse in section B. Here, the magic squares are already filled with numbers. The challenge is to identify the magic number and the values for a, b, and c.

All worksheets are created by the team of experienced teachers at Cazoom Math.

Substitution Magic Squares Worksheet suitable for students in 6th Grade

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Substituting into Expressions (A)

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Negative Numbers

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Preview of Negative Numbers

Frequently Asked Questions

Instead of working with plain numbers, students substitute given values for variables a, b, and c into algebraic expressions within each cell. This combines the logical thinking required for magic squares with essential substitution skills that 6th graders need to master. The twist is that all rows, columns, and diagonals must sum to the same magic number after the substitution work is complete.