MA19.A1.6
Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression.
Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression.
UP:MA19.A1.6
Vocabulary
- Quadratic expression
- Zeros
- Complete the square
- Roots
- Zeros
- Solutions
- x-intercepts
- Maximum value
- Minimum value
- Factor
- Roots
- Exponents
- Equivalent form
- Vertex form of a quadratic expression
Knowledge
- Techniques for generating equivalent forms of an algebraic expression, including factoring and completing the square for quadratic expressions and using properties of exponents.
- When one form of an algebraic expression is more useful than an equivalent form of that same expression to solve a given problem.
Skills
- Use algebraic properties including properties of exponents to produce equivalent forms of the same expression by recognizing underlying mathematical structures.
- Factor quadratic expressions.
- Complete the square in quadratic expressions.
- Use the vertex form of a quadratic expression to identify the maximum or minimum and the axis of symmetry.
Understanding
- Making connections among equivalent expressions reveals the roles of important mathematical features of a problem.