A-REI - Domain
Reasoning with Equations & Inequalities
High School Algebra · Common Core State Standards · Common Core 2010
Standard Unwrapping
AI-generated as a starting point — sign in to edit.Vocabulary
equationsinequalitiesreasoningsolutionsquadratic equationslinear equationssystems of equationsmatrixgraphvariablescoordinate planefunctionsintersectionhalf-plane
Skills
- Solve (linear and quadratic equations in one variable) #dok1
- Identify (solutions to equations and inequalities) #dok1
- Graph (solutions on the coordinate plane) #dok1
- Explain (the process of solving equations step-by-step) #dok2
- Interpret (graphs and solutions in context) #dok2
- Construct (viable arguments for solution methods) #dok3
- Justify (solution methods using reasoning) #dok3
- Prove (properties of systems of equations) #dok4
- Derive (the quadratic formula from completing the square) #dok4
Learning Targets
- I can solve simple linear equations in one variable. #dok1
- I can identify the solution to a quadratic equation. #dok1
- I can explain each step in solving an equation. #dok2
- I can interpret the solutions of systems of equations in context. #dok2
- I can construct a viable argument to justify a solution method. #dok3
- I can justify why an equation has a specific solution. #dok3
- I can prove that replacing one equation with a multiple of another in a system does not change the solution set. #dok4
- I can derive the quadratic formula using the method of completing the square. #dok4
Big Ideas
- Equations and inequalities can be understood and solved through a logical process of reasoning.
- Graphical representations provide a visual method of interpreting and solving equations and inequalities.
Essential Questions
- What steps are involved in solving an equation, and why do they work?
- How can we graphically represent solutions to equations and inequalities?
- In what ways can equations be manipulated or rewritten to find solutions more easily?
- How do different methods of solving quadratic equations compare and contrast?
- What role does reasoning play in justifying and explaining the solution to an equation or inequality?