K Polynomials, Lesson 3, Factoring Polynomials (r. 2018) – POLYNOMIALS Factoring Polynomials Common Core Standard Next Generation Standard A-SSE.2 Use the structure of an expression to AI-A.SSE.2 Recognize and use the structure of an ways to rewrite it. to identify ways to rewrite it. For example, see as, thus (Shared standard with Algebra II) recognizing it as a difference of squares that can be e.g., factored as . PARCC: Tasks limited to numerical and polynomial expressions Note: Algebra I expressions are limited to numerical and in one variable. Recognize as a difference of squares and see an polynomial expressions in one variable. Use factoring opportunity to rewrite it in the easier-to -evaluate form techniques such as factoring out a greatest common (53+47)(53-47). See an opportunity to rewrite as (a+7)(a+2). factor, factoring the difference of two perfect squares, NYSED: Does not include factoring by grouping and factoring the sum and difference of cubes. factoring trinomials of the form ax2+bx+c with a lead coefficient of 1, or a combination of methods to factor completely. Factoring will not involve factoring by grouping and factoring the sum and difference of cubes. LEARNING OBJECTIVES Students will be able to: factor monomials factor binomials, and factor trinomials Overview of Lesson Teacher Centered Introduction Student Centered Activities Overview of Lesson guided practice anticipates, monitors, selects, sequences, and Teacher: connects student work - activate students’ prior knowledge - developing essential skills - vocabulary - Regents exam questions - learning objective(s) - formative assessment assignment (exit slip, explain the math, or journal - big ideas: direct instruction entry) - modeling VOCABULARY binomial monomial trinomial factor completely perfect square greatest common factor term BIG IDEAS Factoring polynomials is one of four general methods taught in the Regents mathematics curriculum for finding the roots of a quadratic equation. The other three methods are the quadratic formula, completing the square and graphing.
K – Polynomials, Lesson 3, Factoring Polynomials (r. 2018) POLYNOMIALS Factoring Polynomials Common Core Standard A-SSE.2 Use the structure of an expression to ways to rewrite it. For example, see as, thus recognizing it as a difference of squares that can be factored as . PARCC: Tasks limited to numerical and polynomial expressions in one variable. Recognize as a difference of squares and see an opportunity to rewrite it in the easier-to -evaluate form (53+47)(53-47). See an opportunity to rewrite as (a+7)(a+2). NYSED: Does not include factoring by grouping and factoring the sum and difference of cubes. Next Generation Standard AI-A.SSE.2 Recognize and use the structure of an to identify ways to rewrite it. (Shared standard with Algebra II) e.g., Note: Algebra I expressions are limited to numerical and polynomial expressions in one variable. Use factoring techniques such as factoring out a greatest common factor, factoring the difference of two perfect squares, factoring trinomials of the form ax2+bx+c with a lead coefficient of 1, or a combination of methods to factor completely. Factoring will not involve factoring by grouping and factoring the sum and difference of cubes. LEARNING OBJECTIVES Students will be able to: factor monomials factor binomials, and factor trinomials Overview of Lesson Teacher Centered Introduction Overview of Lesson - activate students’ prior knowledge - vocabulary - learning objective(s) - big ideas: direct instruction - modeling Student Centered Activities guided practice Teacher: anticipates, monitors, selects, sequences, and connects student work - developing essential skills - Regents exam questions - formative assessment assignment (exit slip, explain the math, or journal entry) VOCABULARY binomial factor completely greatest common factor monomial perfect square term trinomial BIG IDEAS Factoring polynomials is one of four general methods taught in the Regents mathematics curriculum for finding the roots of a quadratic equation. The other three methods are the quadratic formula, completing the square and graphing.
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