Grade 6 Mathematics Module 4, Topic C: Replacing Letters and Numbers

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Grade 6 Mathematics Module 4, Topic C: Replacing Letters and Numbers


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Type: Lesson/Unit Plan


Students represent letters with numbers and numbers with letters in Module 4, Topic C. In past grades, students discovered properties of operations through example (1.OA.B.3, 3.OA.B.5). Now, they use letters to represent numbers in order to write the properties precisely. Students realize that nothing has changed because the properties still remain statements about numbers. They are not properties of letters, nor are they new rules introduced for the first time. Now, students can extend arithmetic properties from manipulating numbers to manipulating expressions.  In particular, they develop the following identities: a times b = b times aa + b = b + ag times 1 = gg + 0 = gg divided by 1 = gg divided by g = 1, and 1 divided by g = 1/g.  Students understand that a letter in an expression represents a number. When that number replaces that letter, the expression can be evaluated to one number. Similarly, they understand that a letter in an expression can represent a number. When that number is replaced by a letter, an expression is stated (6.EE.A.2).

Content Standard(s):
MA2019 (2019)
Grade: 6
15. Write, read, and evaluate expressions in which letters represent numbers in real-world contexts.

a. Interpret a variable as an unknown value for any number in a specified set, depending on the context.

b. Write expressions to represent verbal statements and real-world scenarios.

c. Identify parts of an expression using mathematical terms such as sum, term, product, factor, quotient, and coefficient.

d. Evaluate expressions (which may include absolute value and whole number exponents) with respect to order of operations.

Alabama Alternate Achievement Standards
AAS Standard:
M.AAS.6.15 Evaluate algebraic expressions when given specific values for the variables (e.g. x + 2, where x = 4).

MA2019 (2019)
Grade: 6
17. Determine whether two expressions are equivalent and justify the reasoning.
Tags: algebra, equivalent, evaluate, exponents, expressions, operations, wholenumber
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Author: Hannah Bradley