# data[].attributes.headline
Extend the properties of exponents to rational exponents.

# data[].attributes.subject
Extend the properties of exponents to rational exponents.

# data[].attributes.body
MGSE9-12.N.RN.1 Explain how the meaning of rational exponents follows from extending the properties of integer exponents to rational numbers, allowing for a notation for radicals in terms of rational exponents. For example, we define 5(1/3) to be the cube root of 5 because we want [5(1/3)]3 = 5[(1/3) x 3] to hold, so [5(1/3)]3 must equal 5.
MGSE9-12.N.RN.2 Rewrite expressions involving radicals and rational exponents using the properties of exponents.

# data[].attributes.attachment_link.description
Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.

# data[].attributes.attachment_link.description
A beautiful, free online scientific calculator with advanced features for evaluating percentages, fractions, exponential functions, logarithms, trigonometry, statistics, and more.

# data[].attributes.attachment_link.description
A required part of this site couldn’t load. This may be due to a browser extension, network issues, or browser settings. Please check your connection, disable any ad blockers, or try using a different browser.

# data[].attributes.attachment_link.description
Review student understanding at the class, individual student, or question-level.

# data[].attributes.body
This program will allow me to receive coupons for school supplies. (Click on the figure below.)
The Zip code for Grady is 30309

# data[].attributes.body
Class Calendar found here. Click on the picture below.

# data[].attributes.attachment_link.readable_text
Being successful in math requires a little struggle with a lot of grit. It is good if you are confused and lost but it's more of a reward when you push through the confusing and working towards understanding.
Take a look at the articles & video below to get a better understanding of how your struggle this year will be a GREAT one!!

# data[].attributes.attachment_link.description
Being successful in math requires a little struggle with a lot of grit. It is good if you are confused and lost but it's more of a reward when you push through the confusing and working towards understanding.

# data[].attributes.headline
Perform arithmetic operations with complex numbers.

# data[].attributes.subject
Perform arithmetic operations with complex numbers.

# data[].attributes.body
MGSE9-12.N.CN.1 Understand there is a complex number i such that i ² = −1, and every complex number has the form a + bi where a and b are real numbers.

MGSE9-12.N.CN.2 Use the relation i ² = –1 and the commutative, associative, and distributive properties to add, subtract, and multiply complex numbers.
MGSE9-12.N.CN.3 Find the conjugate of a complex number; use the conjugate to find the quotient of complex numbers.

# data[].attributes.headline
Use complex numbers in polynomial identities and equations.

# data[].attributes.subject
Use complex numbers in polynomial identities and equations.

# data[].attributes.body
MGSE9-12.N.CN.7 Solve quadratic equations with real coefficients that have complex solutions by (but not limited to) square roots, completing the square, and the quadratic formula.
MGSE9-12.N.CN.8 Extend polynomial identities to include factoring with complex numbers. For example, rewrite x2 + 4 as (x + 2i)(x – 2i).

# data[].attributes.headline
Solve equations and inequalities in one variable.

# data[].attributes.subject
Solve equations and inequalities in one variable.

# data[].attributes.body
MGSE9-12.A.REI.4 Solve quadratic equations in one variable.
MGSE9-12.A.REI.4b Solve quadratic equations by inspection (e.g., for x² = 49), taking square roots, factoring, completing the square, and the quadratic formula, as appropriate to the initial form of the equation

# data[].attributes.headline
Perform arithmetic operations on polynomials

# data[].attributes.subject
Perform arithmetic operations on polynomials

# data[].attributes.body
MGSE9-12.A.APR.1 Add, subtract, and multiply polynomials; understand that polynomials form a system analogous to the integers in that they are closed under these operations.

# data[].attributes.headline
Use polynomial identities to solve problems.

# data[].attributes.subject
Use polynomial identities to solve problems.

# data[].attributes.body
MGSE9-12.A.APR.5 Know and apply that the Binomial Theorem gives the expansion of

(x + y)n in powers of x and y for a positive integer n, where x and y are any numbers, with coefficients determined using Pascal’s Triangle.

# data[].attributes.body
MGSE9-12.A.APR.6 Rewrite simple rational expressions in different forms using inspection, long division, or a computer algebra system; write a(x)/b(x) in the form q(x) + r(x)/b(x), where a(x), b(x), q(x), and r(x) are polynomials with the degree of r(x) less than the degree of b(x).

# data[].attributes.headline
Build a function that models a relationship between two quantities.

# data[].attributes.subject
Build a function that models a relationship between two quantities.

# data[].attributes.body
MGSE9-12.F.BF.1 Write a function that describes a relationship between two quantities.
MGSE9-12.F.BF.1b Combine standard function types using arithmetic operations in contextual situations (Adding, subtracting, and multiplying functions of different types).
MGSE9-12.F.BF.1c Compose functions. For example, if T(y) is the temperature in the atmosphere as a function of height, and h(t) is the height of a weather balloon as a function of time, then T(h(t)) is the temperature at the location of the weather balloon as a function of time.

# data[].attributes.headline
Build new functions from existing functions.

# data[].attributes.subject
Build new functions from existing functions.

# data[].attributes.body
MGSE9-12.F.BF.4 Find inverse functions.
MGSE9-12.F.BF.4a Solve an equation of the form f(x) = c for a simple function f that has an inverse and write an expression for the inverse. For example, f(x) =2(x³) or f(x) = (x+1)/(x-1) for x ≠ 1.
MGSE9-12.F.BF.4b Verify by composition that one function is the inverse of another.
MGSE9-12.F.BF.4c Read values of an inverse function from a graph or a table, given that the function has an inverse.

# data[].attributes.headline
Adding, Subtracting & Multiplying Polynomials

# data[].attributes.subject
Adding, Subtracting & Multiplying Polynomials