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 to calculate squares and square roots.
- Order the steps for solving an equation using completing the square.
- Perform operations on fractions.
- Simplify fractions.
- Simplify radicals.
- Calculate using multiple operations.
- Substitute numbers from the equation into a template for completing the square.
- Calculate squares and square roots using appropriate tools.
- Determine the root from adding the terms.
- Determine the root from subtracting the terms.
- Understand the following vocabulary and concepts: + symbol, factor, coefficient, terms, exponent, base, constant, variable, binomial, monomial, polynomial, square, square root.
- Move the constants to the same side of the equation.
- Take half the middle term, square it, and add to both sides of equal sign.
- Factor the left side into a perfect square.
- Take the square root of both sides.
- Solve for x.
For example:
| Number: MAFS.912.A-REI.2.AP.4a | Category: Access Points |
| Date Adopted or Revised: 07/14 |
Cluster:
Solve equations and inequalities in one variable. (Algebra 1 - Major Cluster) (Algebra 2 - Supporting 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. |