Algebraic Expressions and Properties

Standards

6.NS.4 Find the greatest common factor of two whole numbers less than or equal to 100 and the least common multiple of two whole numbers less than or equal to 12. Use the distributive property to express a sum of two whole numbers 1–100 with a common factor as a multiple of a sum of two whole numbers with no common factor. For example, express 36 + 8 as 4 (9 + 2).

  • I can identify the factors of two whole numbers less than or equal to 100 and determine the Greatest Common Multiple.
  • I can identify the multiples of two whole numbers less than or equal to 12 and determine the Least Common Multiple.
  • I can apply the Distributive Property to rewrite addition problems by factoring out the Greatest Common Factor

 

6.EE.2a: Write expressions that record operations with numbers and with letters standing for numbers.

  • 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 

 

6.EE.2c: 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). 

  • 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

 

6.EE.3: Apply the properties of operations to generate equivalent expressions. 

  • I can create equivalent expressions using the properties of operations (e.g. distributive property, associative property, adding like terms with the addition property or equality, etc.).
  • I can apply the properties of operations to create equivalent expressions.

 

6.EE.4: Identify when two expressions are equivalent (i.e., when the two expressions name the same number regardless of which value is substituted into them).

  • I can recognize when two expressions are equivalent.
  • I can prove (using various strategies) that two expressions are equivalent no matter what number is substituted.

Some Videos to Help with Algebraic Expressions and Properties:
What is Algebra?
Writing Expressions
Properties of Addition and Multiplication
Properties
Math Antics: Distributive Property
Math Properties Song