Curriculum  /  Math  /  6th Grade  /  Unit 5: Numerical and Algebraic Expressions  /  Lesson 6

Numerical and Algebraic Expressions

Lesson 6

Math

Unit 5

6th Grade

Lesson 6 of 12

Objective

Write expressions for verbal statements and vice versa (Part 2).

Common Core Standards

Core Standards

  • 6.EE.A.2.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.
  • 6.EE.A.2.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.

Foundational Standards

  • 5.OA.A.2

Criteria for Success

  1. Distinguish between expressions that require parentheses and those that do not.
  2. Represent expressions with products, exponents, and quotients in written and algebraic forms.
  3. Define a term as a part of an expression that is separated from other terms by addition and subtraction. A term can be a single numerical value or a product of numbers and variables.

Tips for Teachers

Lessons 5 and 6 engage students in representing expressions verbally and algebraically. In Lesson 6, students look at expressions involving products, quotients, and exponents.

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Anchor Problems

25-30 minutes

Problem 1

A statement describing an expression reads “the product of $$2$$ and the sum of $$n$$ and $$3$$.” 

Gus writes the algebraic expression $$2n+3$$ to represent the statement. 

Do you agree with Gus’s expression? Explain your reasoning.

Guiding Questions

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Student Response

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Problem 2

Match each algebraic expression with a verbal statement that describes it.

Algebraic Expressions: Verbal Statements:
1. $$(n+2)^2$$ A. the sum of $$n$$ and $$2$$ squared
2. $$n^2 + 2^2$$ B. the square of the sum of $$n$$ and $$2$$
3. $$n^2 + 2$$ C. the square of $$n$$ increased by $$2$$
4. $$n+ 2^2$$ D. the sum of the squares of $$n$$ and $$2$$

Guiding Questions

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Student Response

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Problem 3

For each algebraic expression, write a verbal statement describing it. For each verbal statement, write an algebraic expression to represent it.

a.   $${(3+n)\over2}$$

b.   $${3+{n\over2}}$$

c.   The quotient of $$3$$ and the sum of $$n$$ and $$2$$

d.   The product of $$3$$ and $$n$$ divided by $$2$$

Guiding Questions

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Student Response

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Problem Set

15-20 minutes

Give your students more opportunities to practice the skills in this lesson with a downloadable problem set aligned to the daily objective.

Target Task

5-10 minutes

For each verbal expression below, write an algebraic expression.

a.   Four times the difference of 8 and $$x$$.

b.   Twice $$m$$ increased by the square of $$n$$.

c.   The sum of 10 and the quotient of $$x$$ and 4.

d.   The product of the square of $$n$$ and $$m$$, subtracted from 5.

Student Response

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Additional Practice

The following resources include problems and activities aligned to the objective of the lesson that can be used for additional practice or to create your own problem set.

  • Challenge: Gwen has $$\frac{4}{5}$$ the amount of money that Sam has, and Sam has $8 less than twice the amount of money that Jen has. Let $$x$$ represent the amount of money that Jen has, and write an expression to represent the amount of money that Gwen has. If Jen has $15.50, how much money does Gwen have? 

Next

Identify equivalent expressions (Part 1).

Lesson 7
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Lesson Map

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Topic A: Numerical Expressions with Exponents

Topic B: Introduction to Algebraic Expressions

Topic C: Equivalent Expressions & Applications

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