The Math Content Team released new 6th grade Common Core Math questions in the Expressions and Equations domain. The question types in this release are multiple choice, select-all-that-apply, and constructed response questions. In the new release of questions, students will reason quantitatively and use units to solve problems. The following standards are covered in the new release:
Reason about and solve one-variable equations and inequalities.
- 6.EE.6 – Use variables to represent numbers and write expressions when solving a real-world or mathematical problem; understand that a variable can represent an unknown number, or, depending on the purpose at hand, any number in a specified set.
- 6.EE.7 – Solve real-world and mathematical problems by writing and solving equations of the form x + p = q and px = q for cases in which p, q and x are all nonnegative rational numbers.
- 6.EE.8 – Write an inequality of the form x > c or x < c to represent a constraint or condition in a real-world or mathematical problem. Recognize that inequalities of the form x > c or x < c have infinitely many solutions; represent solutions of such inequalities on number line diagrams.
Represent and analyze quantitative relationships between dependent and independent variables.
- 6.EE.C.9 – Use variables to represent two quantities in a real-world problem that change in relationship to one another; write an equation to express one quantity, thought of as the dependent variable, in terms of the other quantity, thought of as the independent variable. Analyze the relationship between the dependent and independent variables using graphs and tables, and relate these to the equation. For example, in a problem involving motion at constant speed, list and graph ordered pairs of distances and times, and write the equation d = 65t to represent the relationship between distance and time.
Sample tasks that students are asked to complete:
- Write algebraic expressions to describe a written description.
- Identify what the variable represents in an algebraic expression written from a verbal description.
- Provide a situation that models an algebraic description.
- Determine if an equation was solved correctly.
- Identify if an equation solved used a certain mathematical property.
- Know when a written description or graph models an equation or inequality.
- Solve multi-step inequalities.
- Match the graph of an inequality with the inequality.
- Identify a written description in multiple ways (equation, graph, table, etc.).