Apply the properties of operations to generate equivalent expressions.
For example, apply the distributive property to the expression 3 (2 + x) to
produce the equivalent expression 6 + 3x; apply the distributive property
to the expression 24x + 18y to produce the equivalent expression
6 (4x + 3y); apply properties of operations to y + y + y to produce the
equivalent expression 3y.
Subject Area: Mathematics
Grade: 6
Domain-Subdomain: Expressions & Equations
Cluster: Level 1: Recall
Cluster: Apply and extend previous understandings of arithmetic to algebraic expressions. (Major Cluster) -
Clusters should not be sorted from Major to Supporting and then taught in that order. To do so would strip the coherence of the mathematical ideas and miss the opportunity to enhance the major work of the grade with the supporting clusters.
Date Adopted or Revised: 02/14
Content Complexity Rating:
Level 1: Recall
-
More Information
Date of Last Rating: 02/14
Status: State Board Approved
Assessed: Yes
Remarks/Examples
Examples of Opportunities for In-Depth FocusBy applying properties of operations to generate equivalent expressions, students use properties of operations that they are familiar with from previous grades’ work with numbers — generalizing arithmetic in the process.
TEST ITEM SPECIFICATIONS
-
Item Type(s):
This benchmark may be assessed using:
MS
item(s)
- Assessment Limits :
Positive rational numbers, values may include exponents. Variables must be included in the expression. For items using distribution, coefficients may be fractions before distribution but must be integer values after simplification. Only positive rational numbers may be distributed. - Calculator :
No
- Context :
Allowable
SAMPLE TEST ITEMS (2)
- Test Item #: Sample Item 1
- Question:
Alyssa attends football games at her school. At each football game, she buys a bottle of water for $0.75 and a candy bar for $0.90.
Select all the expressions that represent the amount of money, in dollars, Alyssa spends after attending 6 football games.
- Difficulty: N/A
- Type: MS: Multiselect
- Test Item #: Sample Item 2
- Question: Tina sells lampshades for $7 each and paper lanterns for $4 each at a
one-day craft fair. She sells k lampshades and (k + 4) paper lanterns.
The expression 7k + 4(k + 4) represents Tina’s total sales.
Select all the equivalent expressions for Tina's total sales at the fair.
- Difficulty: N/A
- Type: MS: Multiselect
