Suitable for Grades: 8th Grade, Algebra I
CCSS: 8.F.B.4, HSF.LE.A.2
CCSS Description: 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.
Construct linear and exponential functions, including arithmetic and geometric sequences, given a graph, a description of a relationship, or two input‑output pairs (include reading these from a table).
This worksheet follows on from Linear Equations and Tables of Values (A) by using the tables of values to help derive the equations of straight line graphs. Section A provides some plotted graphs and asks learners to fill in the tables of values and then find the equation using the scaffolding provided. Section B then gives some incomplete xy-tables for learners the find the sequence, complete the table, and hence, find the equation. Section C then gives two coordinates and blank xy-tables for learners to fill in the given points, find the common difference for the sequence of y-values, and then state the equation.