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Students write explicit polynomial expressions for sequences by investigating successive differences of those sequences.

Subject:
Math 3
Mathematics
Material Type:
Lesson
Author:
EngageNY
02/22/2020
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CC BY-NC-SA
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Students explore the difference of two squares identity x2 − y2 = (x − y)(x + y) in the context of finding Pythagorean triples.

Subject:
Math 3
Mathematics
Material Type:
Lesson
Author:
EngageNY
02/22/2020
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CC BY-NC-SA
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Students find solutions to polynomial equations where the polynomial expression is not factored into linear factors.
Students construct a polynomial function that has a specified set of zeros with stated multiplicity.

Subject:
Math 3
Mathematics
Material Type:
Lesson
Author:
EngageNY
02/22/2020
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Students develop the distributive property for application to polynomial multiplication. Students connect multiplication of polynomials with multiplication of multi-digit integers.

Subject:
Math 3
Mathematics
Material Type:
Lesson
Author:
EngageNY
02/22/2020
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Students develop a division algorithm for polynomials by recognizing that division is the inverse operation of multiplication.

Subject:
Math 3
Mathematics
Material Type:
Lesson Plan
Author:
EngageNY
02/22/2020
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Students perform arithmetic operations on polynomials and write them in standard form.
Students understand the structure of polynomial expressions by quickly determining the first and last terms if the polynomial were to be written in standard form.

Subject:
Math 3
Mathematics
Material Type:
Lesson
Author:
EngageNY
02/22/2020
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Students work with polynomials with constant coefficients to prove polynomial identities.

Subject:
Math 3
Mathematics
Material Type:
Lesson
Author:
EngageNY
02/22/2020
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Students perform arithmetic by using polynomial identities to describe numerical relationships.

Subject:
Math 3
Mathematics
Material Type:
Lesson
Author:
EngageNY
02/22/2020
Conditional Remix & Share Permitted
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Students apply polynomial identities to the detection of prime numbers.

Subject:
Math 3
Mathematics
Material Type:
Lesson
Author:
EngageNY
02/22/2020
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Students understand that the sum of two square roots (or two cube roots) is not equal to the square root (or cube root) of their sum.
Students convert expressions to simplest radical form.
Students understand that the product of conjugate radicals can be viewed as the difference of two squares.

Subject:
Math 3
Mathematics
Material Type:
Lesson
Author:
EngageNY
02/22/2020
Conditional Remix & Share Permitted
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Students will factor certain forms of polynomial expressions by using the structure of the polynomials.

Subject:
Math 3
Mathematics
Material Type:
Lesson
Author:
EngageNY
02/22/2020
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CC BY-NC-SA
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Students will use the structure of polynomials to identify factors.

Subject:
Math 3
Mathematics
Material Type:
Lesson
Author:
EngageNY
02/22/2020
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Students will use the factored forms of polynomials to find zeros of a function.
Students will use the factored forms of polynomials to sketch the components of graphs between zeros.

Subject:
Math 3
Mathematics
Material Type:
Lesson
Author:
EngageNY
02/22/2020
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Students graph polynomial functions and describe end behavior based upon the degree of the polynomial.

Subject:
Math 3
Mathematics
Material Type:
Lesson
Author:
EngageNY
02/22/2020
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Students transition between verbal, numerical, algebraic, and graphical thinking in analyzing applied polynomial problems.

Subject:
Math 3
Mathematics
Material Type:
Lesson
Author:
EngageNY
02/22/2020
Conditional Remix & Share Permitted
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Students transition between verbal, numerical, algebraic, and graphical thinking in analyzing applied polynomial problems.

Subject:
Math 3
Mathematics
Material Type:
Lesson
Author:
EngageNY
02/22/2020
Conditional Remix & Share Permitted
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Students know and apply the Remainder Theorem and understand the role zeros play in the theorem.

Subject:
Math 3
Mathematics
Material Type:
Lesson
Author:
EngageNY
02/22/2020
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Students learn to fit polynomial functions to data values.

Subject:
Math 3
Mathematics
Material Type:
Lesson
Author:
EngageNY
02/22/2020
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Students model a cross-section of a riverbed with a polynomial function and estimate fluid flow with their algebraic model.

Subject:
Math 3
Mathematics
Material Type:
Lesson
Author:
EngageNY
02/22/2020
Conditional Remix & Share Permitted
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Students define rational expressions and write them in equivalent forms.

Subject:
Math 3
Mathematics
Material Type:
Lesson
Author:
EngageNY