Patterns & Function Tables Worksheets

Read a repeating pattern (AB, ABB, AAB, ABC) and circle what comes next — with pictures, or with geometric shapes.

Enrichment (beyond the Grade 1 standards): continue an arithmetic sequence that grows or shrinks by a constant whole number by filling in the missing numbers.

Identify a missing interior term in an arithmetic sequence by determining the constant step.

Follow a given rule to generate a number pattern, then notice a feature of it — for example, add 3 starting at 1 gives 1, 4, 7, 10,... which alternate odd and even — and explain informally why.

Complete an input-output (in/out) table by applying a single-operation rule to each input.

Examine a completed input-output table and determine the one-step rule, then extend it to a new input.

Generate two number patterns from two rules, form ordered pairs from corresponding terms, see how one pattern relates to the other, and graph the pairs on a coordinate plane.

Understand that a function assigns exactly one output to each input: decide whether a relation is a function, and evaluate a function at given inputs.

Compare two linear functions given in different forms (equation and table) by their rate of change or initial value.

Recognize that y = mx + b defines a linear function whose graph is a straight line, and identify functions that are nonlinear.

Construct a linear function y = mx + b from a table of values, and interpret the rate of change (slope) and the initial value.

Read a graph qualitatively — rising, falling, flat, getting steeper — say what it means in the situation, and decide whether it is linear.