Counting And Cardinality 
K.CC: Know Number Names And The Count Sequence. 
K.CC.1  Count to 100 by ones and by tens. 

K.CC.2  Count forward beginning from a given number within the known sequence (instead of having to begin at 1). 

K.CC.3  Write numbers from 0 to 20. Represent a number of objects with a written numeral 020 (with 0 representing a count of no objects). 
Count To Tell The Number Of Objects. 
K.CC.4  Understand the relationship between numbers and quantities; connect counting to cardinality. 

K.CC.4.a  When counting objects, say the number names in the standard order, pairing each object with one and only one number name and each number name with one and only one object. 

K.CC.4.b  Understand that the last number name said tells the number of objects counted. The number of objects is the same regardless of their arrangement or the order in which they were counted. 

K.CC.4.c  Understand that each successive number name refers to a quantity that is one larger. 

K.CC.5  Count to answer “how many?” questions about as many as 20 things arranged in a line, a rectangular array, or a circle, or as many as 10 things in a scattered configuration; given a number from 1–20, count out that many objects. 
Compare Numbers. 
K.CC.6  Identify whether the number of objects in one group is greater than, less than, or equal to the number of objects in another group, e.g., by using matching and counting strategies.1 

K.CC.7  Compare two numbers between 1 and 10 presented as written numerals. 
Functions 
8.F: Define, Evaluate, And Compare Functions. 
8.F.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.1 

8.F.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.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. 
Use Functions To Model Relationships Between Quantities. 
8.F.4  Construct a function to model a linear relationship between two quantities. Determine the rate of change and initial value of the function from a description of a relationship or from two (x, y) values, including reading these from a table or from a graph. Interpret the rate of change and initial value of a linear function in terms of the situation it models, and in terms of its graph or a table of values. 

8.F.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. 