## ◂Math Worksheets and Study Guides Eighth Grade. Polynomials and Exponents

### The resources above correspond to the standards listed below:

#### Maryland College and Career-Ready Standards

MD.MA.8.EE. Expressions and Equations (EE)
Work with radicals and integer exponents.
8.EE.1. Know and apply the properties of integer exponents to generate equivalent numerical expressions. For example, 3^2 x 3^-5 = 3^-3 = 1/3^3 = 1/27.
8.EE.1.1. Ability to recognize and apply the following properties of integer exponents:
8.EE.1.1.4. Power of Powers
8.EE.1.2. Ability to apply a combination of properties to show equivalency.
8.EE.4. Perform operations with numbers expressed in scientific notation, including problems where both decimal and scientific notation are used. Use scientific notation and choose units of appropriate size for measurements of very large or very small quantities (e.g., use millimeters per year for seafloor spreading). Interpret scientific notation that has been generated by technology.
8.EE.4.1. Ability to compare units of measure.
8.EE.4.2. Ability to read scientific notation on a calculator.
MD.MA.AI. Algebra I
Unit 1: Relationships between Quantities and Reasoning with Equations
HSA-SSE.A. Interpret the structure of expressions.
A.SSE.1a. Interpret expressions that represent a quantity in terms of its context – Interpret parts of an expression, such as terms, factors, and coefficients.
A.SSE.1a.1. Ability to make connections between symbolic representations and proper mathematics vocabulary.
A.SSE.1b. Interpret expressions that represent a quantity in terms of its context – Interpret complicated expressions by viewing one or more of their parts as a single entity. For example, interpret P(1+r)^n as the product of P and a factor not depending on P.
A.SSE.1b.1. Ability to interpret and apply rules for order of operations.
Unit 4: Expressions and Equations
HSA-SSE.B. Write expressions in equivalent forms to solve problems.
A.SSE.3c. Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression – Use the properties of exponents to transform expressions for exponential functions. For example, the expression 1.15^t can be rewritten as (1.15^1/12)12^t ≈ 1.01212t to reveal the approximate equivalent monthly interest rate if the annual rate is 15%.
A.SSE.3c.1. Ability to connect experience with properties of exponents from Unit 2 of this course to more complex expressions.
HSA-APR.A. Perform arithmetic operations on polynomials.
A.APR.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.
A.APR.1.1. Ability to show that when polynomials are added, subtracted or multiplied that the result is another polynomial.
MD.MA.AII. Algebra II
Unit 3: Modeling with Functions
HSF-IF.C. Analyze functions using different representations.
F.IF.8b. Write a function defined by an expression in different but equivalent forms to reveal and explain different properties of the function – Use the properties of exponents to interpret expressions for exponential functions. For example, identify percent rate of change in functions such as y=(1.02)^t, y=(0.97)^t, y=(1.01)^12t, y=(1.2)^t/10, and classify them as representing exponential growth or decay.
F.IF.8b.1. Ability to connect experience with properties of exponents from Algebra I Unit 2: Linear and Exponential Relationships to more complex expressions.