Sequences - Teacher Notes

These sheets cover levels one to five and offer the immediacy and same sense of security as other sheets. They cover most of the outcomes expected in the National Numeracy Strategy for Sequences in years one to six. However, some students at KS3 may also find the sheets useful.

The Level One Sequences Folder

Section A

These sheets ask the pupil to generate or form a sequence of five terms given the first term and a simple addition rule. The second part of each sheet extends this to being given a specified term, other than the first, and a rule to generate the rest of the first five terms, requiring the pupil to work back to make earlier terms. Words used: one to five and first to fifth terms. Repeated addition using the numbers one to ten. Sequences as a row of numbers separated by commas.

Section B

Parts of sequences are given and the missing terms may be found by counting on or back in ones or tens. Sequences in rows, gaps as separators.

The Level Two Sequences Folder

Section A

These sheets ask the pupil to generate or form a sequence of five terms given the first term and a simple addition rule. The second part of each sheet extends this to being given a specified term, other than the first, and a rule to generate the rest of the first five terms, requiring the pupil to work back to make earlier terms. Words used: one to five and first to fifth terms. Repeated addition using the numbers one to ten. Sequences as a row of numbers separated by commas.

Section B

Parts of sequences are given and the missing terms may be found by counting on or back in ones, tens or hundreds. Sequences in rows, gaps as separators.

The Level Three Sequences Folder

Section A

These sheets ask the pupil to generate or form a sequence of five terms given the first term and a simple addition or subtraction rule. The second part of each sheet extends this to being given a specified term, other than the first, and a rule to generate the rest of the first five terms, requiring the pupil to work back to make earlier terms. Repeated addition and subtraction using the numbers one to ten.

Section B

Parts of sequences are given and the missing terms may be found by counting on or back. Uses ones, twos, threes, fours, fives, tens, twenties and hundreds.

The Level Four Sequences Folder

Section A

Sequences in order in columns with mapping arrows. Find the missing numbers in the sequences and the rule as a single operator on the term number. Operand given.

Section B

Sequences in order in columns with mapping arrows. Find the missing numbers in the sequences. Tenth and fiftieth term needed so rule needs to be found but not expressed.

Section C

Out of order sequences in columns with mapping arrows. Find the missing terms and term numbers in the sequences.

Section D

These sheets ask the pupil to generate or form a sequence of five terms given the first term and an addition or subtraction rule extending to negative numbers. The second part of each sheet extends this to being given a specified term, other than the first, and a rule to generate the rest of the first five terms, requiring the pupil to work back to make earlier terms. Words used: one to five and first to fifth term. Repeated addition and subtraction using integers of increasing size.

Section E

Parts of sequences are given and the missing terms may be found by counting on or back. Uses a variety of integers. Step must be found where sequential terms are not given.

The Level Five Sequences Folder

Section A

These sheets ask the pupil to generate a sequence of five terms given the first term and a rule using one of the four operands. Includes negative terms.

Section B

These sheets ask the pupil to generate a sequence of five terms, given a term other than the first, and a rule using one of the four operands. Includes negative terms.

Section C

These sheets ask the pupil to generate a sequence of four terms and extend to the tenth term given the first term and a rule using one of the four operands. Includes negative terms.

Section D

These sheets ask the pupil to generate a sequence of four terms and extend to the tenth term given a term other than the first, and a rule using one of the four operands. Includes negative terms.

Section E

Parts of sequences are given and the missing terms may be found by finding differences. Uses a variety of integers. Step must be found where sequential terms are not given. Includes non-linear sequences.

The worksheets are based upon Living Worksheets produced by John Ellis.