The Castle Learning Math Content Team has released new questions that are aligned to the Common Core standards 6.EE.3, 6.EE.4, and 6.EE.5. The question types in this release are multiple choice, fill-in-the-blank, matching, and drag-and-drop.
- 6.EE.3 – 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.
- 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). For example, the expressions y + y + y and 3y are equivalent because they name the same number regardless of which number y stands for.
- 6.EE.5 – Understand solving an equation or inequality as a process of answering a question: which values from a specified set, if any, make the equation or inequality true? Use substitution to determine whether a given number in a specified set makes an equation or inequality true.
Sample tasks that students are asked to complete:
- Create equivalent expressions using the Distributive Property.
- Identify when two expressions are equivalent.
- Determine if a number makes an equation or inequality true.