This series of work is designed to revise inequalities with both Foundation and higher level students looking at solving the simplest of inequalities up to the more complicated quadratic inequalities. The PowerPoint is backed up with worksheets and I have included the worksheet Generator. (simply hit F9 on the computer and new worksheets are generated)

This lesson follows lessons on the circle theorems involving angles from the same arc, angle at the centre and angles in a semicircle. The lesson has a series of worked examples followed by a worksheet which can be used in class or as a piece of homework.

This lesson teaches students the exact trig values for the sin cos and tan of 30, 45, 60 and 90 degrees. The lesson shows two ways to remember the values by either table or triangles. The lesson is also accompanied with several worksheets. The idea being that one worksheet is given at the end of teaching the lesson for students to demonstrate what they now know. Then throughout the year or two further worksheets can be given to check on them retaining the information taught.

These festive worksheets and small PowerPoint can be used to keep students at GCSE level motivated in the run up to Christmas.

Lesson 1: Continuing a sequence This lesson looks at students being able to continue a sequence from a given rule, or obtaining a pattern from the numbers already given in the sequence. Through worked examples students get their first insight to the work involved with sequences. Lesson 2: Continuing a pattern This lesson concentrates around continuing patterns. Several worked examples look at numerical responses to the patterns generated. I usually teach this lesson after continuing a sequence and before the lesson on using the nth term. Lesson 3: Using the nth term This lesson is always taught after the introduce to continuing sequences. This lesson demonstrates how sequences can be generated by formulae. Also I point out along the way how the sequence going up by a certain number doesn’t imply that we add whatever each time but that it belongs in some way to a particular multiplication table. This, I find, helps with the next lesson on finding the nth term. Lesson 4: Finding the nth term This lesson is mainly about finding the nth term of any linear sequence. Through worked examples students very quickly learn how to find the nth term of sequence such as 5, 8, 11, 14, etc… The lesson also touches on other sequences but through their new found understanding of the linear sequence. This lesson is taught after the lesson on using the nth term and, dependent on age or ability, before the lesson on sequences which involve quadratic solutions. Sequence Workbook This selection of work can easily be printed as an A5 booklet. The booklet consists of questions for students to attempt in class or as a piece of homework and compliment the lessons on sequences I use yearly.

These lessons included in this resource revise Pythagoras Theorem, the knowledge of Right Angled Trigonometry, the knowledge of the sine rule cosine rule and 3D trigonometry. Accompanied with the lessons are worksheets for students to attempt in class or as homework. Plenty of revision for all types of students Foundation or Higher Tier.