Videos and lessons to help Grade 6 students learn to 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 = s3 and A = 6 s2 to find the volume and surface area of a cube with sides of length s = 1/2.

Common Core: 6.EE.2

### Suggested Learning Targets

• I can write expressions.
• I can use expressions to with common formulas.
• I can evaluate expression with the order of operations.
• I can use numbers and variables to evaluate expressions.
• I can translate written phrases into algebraic expressions.
• I can translate algebraic expressions into written phrases.
• I can identify parts of an expression using mathematical terms (sum, term, product, factor, quotient, coefficient).
• I can identify parts of an expression as a single entity, even if not a monomial.
• I can substitute specific values for variables.
• I can evaluate algebraic expressions including those that arise from real-world problems.
• I can apply order of operations when there are no parentheses for expressions that include whole number exponents.

Related Topics:

Write, read, and evaluate expressions in which letters stand for numbers--Lesson 1 of 7 (6.EE.2a)
In this lesson you will learn how to read and write algebraic expressions by using variables.

Write, read, and evaluate expressions in which letters stand for numbers--Lesson 2 of 7 (6.EE.2b)
In this lesson you will learn how to show multiplication (and division) in an algebraic expression by using alternative notation.

Write, read, and evaluate expressions in which letters stand for numbers--Lesson 3 of 7 (6.EE.2b)
In this lesson you will learn how to write and read algebraic expressions by using parenthesis.

Write, read, and evaluate expressions in which letters stand for numbers--Lesson 4 of 7 (6.EE.2c)
In this lesson you will learn how to evaluate a one-step algebraic expression by substituting a given number for the variable.

Write, read, and evaluate expressions in which letters stand for numbers--Lesson 5 of 7 (6.EE.2c)
In this lesson you will learn how to evaluate a multiple step algebraic expression by substituting numbers for variables.

Write, read, and evaluate expressions in which letters stand for numbers--Lesson 6 of 7 (6.EE.2c)
In this lesson you will learn how to evaluate algebraic expressions by using exponents

Write, read, and evaluate expressions in which letters stand for numbers--Lesson 7 of 7 (6.EE.2c)
In this lesson you will learn how to use formulas to write and evaluate algebraic expressions by substituting a given number for the variable.

Identify coefficients, constants, and terms - 6.EE.2
In this lesson you will learn how to identify coefficients, constants and terms, by analyzing the composition of mathematical expressions.

Write word problems as algebraic expressions - 6.EE.2
In this lesson, you will learn how to write algebraic expressions for word phrases by analyzing the language used.

Find the volume of a cube - 6.EE.2
In this lesson, you will learn how to evaluate expressions that arise from real world problems, by applying the formula for the volume of a cube.

Solve expressions by substituting variables with values - 6.EE.2
In this lesson, you will learn how to evaluate expressions by substituting variables by given values.

Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.