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Lesson Plans and Worksheets for Grade 6

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More Lessons for Grade 6

Common Core For Grade 6

Examples, solutions, 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 = s ^{3} and A = 6 s^{2} to find the volume and surface area of a cube with sides of length s = 1/2*.

Common Core: 6.EE.2

- 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.

Write, read, and evaluate expressions in which letters stand for numbers (6.EE.2a)

**Writing Expressions (6.EE.2)**

Turning Words into Math

Examples:

- Add t and 7
- The sum of 4 and 3x
- Subtract 8 from r
- 8 less than 2r
- The product of 3 and x

Multi-step examples:

- 4 less than the product of 3 and t
- The sum of a and the product of 6 and y

**6.EE.2.a - From Words to Expressions (Less than and Difference)**

Translate from words to algebraic expressions.

Examples:

- What is nine less than seven times a number m as an expression?
- Write five times the difference of 6 and a number x as an expression.

**Identifying Parts of Expressions (6.EE 2)**

Term: A part of an expression, a number, variable (or numbers and variables multiplies by each other) separated by addition of subtraction from other terms.

Coefficient: The number multiplied by a variable.

Evaluating Expressions and Order of Operations (6.EE.2)

Examples:

- Evaluate 3x for x = 5.
- Evaluate 100 - 2b
^{2}for b = 3. - Evaluate 3(2a - 3) for a = 9.

Using formulas to evaluate.

Example:

V = lwh Find the volume of 5 of these rectangular prisms that each have l = 3 cm, w = 2 cm and h = 4 cm.

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