4.5.B

Patterns 4th Grade

Texas Essential Knowledge and Skills (TEKS): 4.5.B
represent problems using an input-output table and numerical expressions to generate a number pattern that follows a given rule representing the relationship of the values in the resulting sequence and their position in the sequence;

PATTERNS

Pattern is a general term which can have a variety of meanings in language and mathematics.

Often, pattern refers to some kind of repetition.
Patterns can be seen in numbers, words, shapes, colors, and other areas.

In mathematics, a pattern is sometimes defined by a rule.

Example:

The pattern is triangle, triangle, square.
A square comes next in the pattern.

Example:

The pattern is two shaded triangles followed by two unshaded triangles.
An unshaded triangle comes next in the pattern.

Example:

Each number is 2 more than the previous number.
The rule is add 2. The next number in the pattern is 16.

An input-output table is a two-column table in which the same rule is
applied to each input value resulting in the corresponding output values.

Example:

Use an input-output table, substituting 1, 2, 3, and 4 for n in the given expression. The middle column is to show the rule being applied.

Input (n)	n + 10	Output
1	1 + 10	11
2	2 + 10	12
3	3 + 10	13
4	4 + 10	14

So, the pattern generated from the expression n + 10, for n = 1, 2, 3, and 4, is 11, 12, 13, 14.

Example:

Multiplication can be used to find a total when a given amount is added multiple times. The middle column is to show the rule being applied.

Number of Batches	Number of Batches × 12 Cookies [in each batch]	Total Number of Cookies
1	1 × 12	12
2	2 × 12	24
3	3 × 12	36
4	4 × 12	48

So, the pattern for how many cookies Ellie baked in 1, 2, 3, and 4 batches is 12, 24, 36, 48.

Patterns

Texas Essential Knowledge and Skills (TEKS): 4.5.B

represent problems using an input-output table and numerical expressions to generate a number pattern that follows a given rule representing the relationship of the values in the resulting sequence and their position in the sequence;

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