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Learning Goal

Part of: Apply and extend previous understandings of arithmetic to algebraic expressions2 of 4 cluster items

Write, read, and evaluate expressions in which letters stand for numbers

6.EE.A.2

**6.EE.A.2**: Write, read, and evaluate expressions in which letters stand for numbers. a. Write expressions that record operations with numbers and with letters standing for numbers. For example, express the calculation "Subtract y from 5" as 5 - y. b. Identify parts of an expression using mathematical terms (sum, term, product, factor, quotient, coefficient); view one or more parts of an expression as a single entity. For example, describe the expression 2(8 + 7) as a product of two factors; view (8 + 7) as both a single entity and a sum of two terms. c. 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 = s^3 and A = 6s^2 to find the volume and surface area of a cube with sides of length s = 1/2.

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6.EE.A.2: Write, read, and evaluate expressions in which letters stand for numbers.
a. Write expressions that record operations with numbers and with letters standing for numbers. For example, express the calculation "Subtract y from 5" as 5 - y.
b. Identify parts of an expression using mathematical terms (sum, term, product, factor, quotient, coefficient); view one or more parts of an expression as a single entity. For example, describe the expression 2(8 + 7) as a product of two factors; view (8 + 7) as both a single entity and a sum of two terms.
c. 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 = s^3 and A = 6s^2 to find the volume and surface area of a cube with sides of length s = 1/2.

What you'll learn

  1. Translate verbal phrases into algebraic expressions using variables, and translate algebraic expressions back into words (e.g., write "Subtract y from 5" as 5 - y)
  2. Identify and name parts of an expression using precise mathematical vocabulary: sum, term, product, factor, quotient, and coefficient
  3. View a complex expression as composed of parts that can each be treated as a single entity (e.g., recognize (8 + 7) as both a sum of two terms and a single factor within the product 2(8 + 7))
  4. Evaluate algebraic expressions by substituting specific values for variables and computing the result using the conventional order of operations
  5. Apply formulas from real-world contexts by substituting given values and evaluating, including expressions with whole-number exponents (e.g., use V = s^3 and A = 6s^2 to find the volume and surface area of a cube when s = 1/2)

Slides

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Slide Video

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Exercises

Practice problems to build fluency and understanding • 1 exercises