Clarifications:
Essential Understandings
Concrete:
- Count the number of terms in a quadratic equation.
- Identify the numbers in the equation that would be used to complete the square.
- Multiply and divide numbers using appropriate tools.
- Use appropriate tools (e.g., calculator, graphic organizer, geometry software) to calculate squares and square roots.
- Order the steps for solving an equation using completing the square.
- Perform operations on fractions.
- Simplify fractions.
- Calculate using multiple operations.
- Substitute numbers from the equation into a template for completing the square.
- Calculate squares and square roots using appropriate tools.
- Simplify radicals.
- Determine the root from adding the terms.
- Determine the root from subtracting the terms.
- Identify the parts of the answer that relate to the center and the radius of the circle.
- Understand the following concepts and vocabulary: + symbol, factor, coefficient, terms, exponent, base, constant, variable, binomial, monomial, polynomial, square and square root.
- Use the Pythagorean Theorem to find the distance between two points.
- Use a template to find the equation of a circle:
where (a,b) is the center and r is the radius.
| Number: MAFS.912.G-GPE.1.AP.1b | Category: Access Points |
| Date Adopted or Revised: 07/14 |
Cluster:
Translate between the geometric description and the equation for a conic section. (Geometry - Additional Cluster) (Algebra 2 - Additional 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. |