CCSS: Mathematics, CCSS: Grade 8, Expressions & Equations
8.EE.A. Work with radicals and integer exponents.
CCSS: Mathematics, CCSS: Grade 8, Functions
8.F.A. Define, evaluate, and compare functions.
8.F.B. Use functions to model relationships between quantities.
8.EE.A. Work with radicals and integer exponents.
- 8.EE.A.1. Know and apply the properties of integer exponents to generate equivalent numerical expressions.For example, 3² × 3⁻⁵ = 3⁻³ = 1/3³ = 1/27.
- 8.EE.A.3. Use numbers expressed in the form of a single digit times a whole-number power of 10 to estimate very large or very small quantities, and to express how many times as much one is than the other.For example, estimate the population of the United States as 3 times 10⁸ and the population of the world as 7 times 10⁹, and determine that the world population is more than 20 times larger.
- 8.EE.A.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.
CCSS: Mathematics, CCSS: Grade 8, Functions
8.F.A. Define, evaluate, and compare functions.
- 8.F.A.1. Understand that a function is a rule that assigns to each input exactly one output. The graph of a function is the set of ordered pairs consisting of an input and the corresponding output.Function notation is not required in Grade 8.
- 8.F.A.2. Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions). For example, given a linear function represented by a table of values and a linear function represented by an algebraic expression, determine which function has the greater rate of change.
- 8.F.A.3. Interpret the equation y = mx + b as defining a linear function, whose graph is a straight line; give examples of functions that are not linear.For example, the function A = s² giving the area of a square as a function of its side length is not linear because its graph contains the points (1,1), (2,4) and (3,9), which are not on a straight line.
8.F.B. Use functions to model relationships between quantities.
- 8.F.B.5. Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear). Sketch a graph that exhibits the qualitative features of a function that has been described verbally.