Determine whether a set is closed or open

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Determine whether a set is closed or open

In this lesson you will learn when a set is closed and when a set is open by exploring sets of numbers.

ADDITIONAL MATERIALS

STANDARDS

VA.EO.A.2.a applying the laws of exponents to perform operations on expressions;

VA.PFA.8.14.b simplify algebraic expressions in one variable.

VA.EO.A.2.b adding, subtracting, multiplying, and dividing polynomials; and

CCSS.HSA-APR.A.1 Understand that polynomials form a system analogous to the integers, namely, they are closed under the operations of addition, subtraction, and multiplication; add, subtract, and multiply polynomials.

FL.MAFS.912.A-APR.1.1 Understand that polynomials form a system analogous to the integers, namely, they are closed under the operations of addition, subtraction, and multiplication; add, subtract, and multiply polynomials.

IN.AI.RNE.7 Understand polynomials are closed under the operations of addition, subtraction, and multiplication with integers; add, subtract, and multiply polynomials and divide polynomials by monomials.

TEKS.A2.7.B add, subtract, and multiply polynomials;

TEKS.A1.11.B simplify numeric and algebraic expressions using the laws of exponents, including integral and rational exponents.

TEKS.A1.10.D rewrite polynomial expressions of degree one and degree two in equivalent forms using the distributive property;

TEKS.A1.10.B multiply polynomials of degree one and degree two;

TEKS.A1.10.A add and subtract polynomials of degree one and degree two;
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This video is about whether a set is well defined and closed under certain operations, not whether a set is closed or open (it does or doesn't include its boundary points). Might want to change the title.

thecircusboy