#### Full set of lessons on Higher tier sequences

A full set of lessons (7 in total on Smart Notebook, with supporting resources) on sequences targeted at Higher GCSE pupils. These lessons could easily be adapted / used for Foundation tier or higher ability KS3 classes. (Download includes Smart Notebook file of the lesson and also the lesson on PDF)

#### Full lesson on surds focussed on expanding single brackets

Full lesson on surds focussed on expanding single brackets, including perimeter problems and surd-fraction problems (i.e. squaring rt(2)/3) Created for Higher GCSE, could be adapted as appropriate. (Download includes Smart Notebook file of the lesson and also the lesson on PDF)

#### Full lesson on calculating averages from grouped frequency tables (continuous data)

Full lesson on averages from continuous (grouped) frequency tables. Included is a starter; the lessons contain appropriate questions including challenging reverse mean questions. This resources is appropriate for high ability KS3, Foundation and Higher tier GCSE. (Download includes Smart Notebook file of the lesson and also the lesson on PDF)

#### Full lesson on algebraic substitution (application / review of skill)

A full lesson on substituting into algebraic expressions with application to real-life formulae throughout .&lt;br /&gt; &lt;br /&gt; Create for KS3 / Foundation GCSE.&lt;br /&gt; &lt;br /&gt; (Download includes Smart Notebook files converted to PDF as well)

#### Full lesson on algebraic substitution

A full lesson on substituting into algebraic expressions with some application to real-life formulae at to finish. Includes a very well differentiated worksheet.&lt;br /&gt; &lt;br /&gt; Create for KS3 / Foundation GCSE.&lt;br /&gt; &lt;br /&gt; (Download includes Smart Notebook files converted to PDF as well)

#### Full lesson on prime factor decomposition

A full lesson on prime factor decomposition leading to some HCF / LCM problem solving questions. This resources is appropriate for KS3 or GCSE classes. (Download includes Smart Notebook files as a PDF also).

#### Full lesson on finding HCF and LCM using prime factorisation and Venn diagrams

Full lesson on finding HCF and LCM using prime factorisation and Venn diagrams. This lesson assumes prime factorisation as a known skill. Created for Higher GCSE but can be used for higher ability KS3 or Foundation GCSE. (Download includes a PDF version of the Smart Notebook slides)

#### Full lesson on dividing by decimals

Full lesson on dividing by decimals including a tarsia for practise. Created for Higher GCSE but could be used with higher ability KS3 or Foundation GCSE. (Download includes Smart Notebook file of the lesson and also the lesson on PDF)

#### Full lesson on negative powers

Full lesson on negative powers, from generalising the form of a base to a negative power, to problem solving calculations. Created for high ability KS3, but definitely appropriate for higher GCSE or foundation. (Download includes Smart Notebook file of the lesson and also the lesson on PDF)

#### Full lesson on multiplying and dividing surds

Full lesson on multiplying and dividing surds including lots of practise and harder questions involving multiple operations and further problem solving. Created for Higher GCSE, could be adapted as appropriate. (Download includes Smart Notebook file of the lesson and also the lesson on PDF)

#### Full lesson on surds focussed on expanding single brackets

Full lesson on surds focussed on expanding single brackets, including perimeter problems and surd-fraction problems (i.e. squaring rt(2)/3) Created for Higher GCSE, could be adapted as appropriate. (Download includes Smart Notebook file of the lesson and also the lesson on PDF)

#### Full lesson on simplifying, adding and subtracting surds

Full lesson on simplifying, adding and subtracting surds including lots of practise and also harder problems, e.g. rt(2) + rt(18). Created for Higher GCSE, could be adapted for others as appropriate.

#### Two full lessons on calculating averages and choice of average

Two full lessons, one on calculating averages (including reversed mean problems and problem solving) and a second lesson on justifying the choice of average used, including a worksheet. This resource is appropriate for higher ability KS3, Foundation and Higher tier GCSE.

#### Full lesson on non-unitary negative fractional indices

Full lesson on evaluating non-unitary fractional and non-unitary negative fractional indices, e.g. rt(64)^-2/3 would be the furthest this lesson goes to. The focus here is application of powers on integers; another lesson I put on here will focus on fractions with powers. Created for Higher tier GCSE, could be adapted for high ability KS3

#### Full lesson on Nth term including problem solving

Full lesson covering finding the Nth term, checking if a number is in a sequence and the first term greater than / less than a number. Includes a well differentiated worksheet covering these skills. Created for Higher GCSE, could be adapted to Foundation or high ability KS3 (Download includes Smart Notebook file of the lesson and also the lesson on PDF)

#### Two lessons on Index laws (positive integers)

Two full lessons on index laws (adding, subtracting and multiplying powers) - lesson one is based around practise, lesson 2 is based around problem solving. Also included is a quiz with a range of questions targeted at highlighting misconceptions. (Download includes Smart Notebook file of the lesson and also the lesson on PDF)

#### Full lesson on finding percentages of amounts using a multiplier

Full lesson focussing on the use of a multiplier, finding percentages of amounts and problem solving involving possible use of compound percentage changes. (Download includes Smart Notebook file of the lesson and also the lesson on PDF)

#### Full lesson on averages from frequency tables (discrete data)

Full lesson on averages from frequency tables (discrete data). Included is a starter; the lessons contain appropriate questions including challenging reverse mean questions. This resources is appropriate for high ability KS3, Foundation and Higher tier GCSE. (Download includes Smart Notebook file of the lesson and also the lesson on PDF)

#### Full set of lessons on Higher tier sequences

A full set of lessons (7 in total on Smart Notebook, with supporting resources) on sequences targeted at Higher GCSE pupils. These lessons could easily be adapted / used for Foundation tier or higher ability KS3 classes. (Download includes Smart Notebook file of the lesson and also the lesson on PDF)

#### Full set of lessons on averages (4 lessons)

Four lessons on averages: 1 - Calculating each average (including reverse mean and problem solving) 2 - Justifying which average to use 3 - Calculating averages from frequency tables (discrete data) 4 - Calculating averages from frequency tables (continuous data) Created for Higher tier GCSE, could be used for Foundation or high ability KS3 (Download includes Smart Notebook file of the lesson and also the lesson on PDF)

#### Full lesson on calculating averages from grouped frequency tables (continuous data)

Full lesson on averages from continuous (grouped) frequency tables. Included is a starter; the lessons contain appropriate questions including challenging reverse mean questions. This resources is appropriate for high ability KS3, Foundation and Higher tier GCSE. (Download includes Smart Notebook file of the lesson and also the lesson on PDF)

#### Full lesson on solving problems with linear sequences

Full lesson based on solving numerical and non-numerical linear sequence problems. There is a longer extension task as well. Created for Higher GCSE, could be adapted for Foundation or KS3. (Download includes Smart Notebook file of the lesson and also the lesson on PDF)

#### Full lesson on finding the Nth term of quadratic sequences

Full lesson on finding the Nth term of quadratic sequences, including a calculator for finding the Nth term of a quadratic sequence where you have the first 3 terms. Created for Higher GCSE, could be adapted for higher ability KS3 (Download includes Smart Notebook file of the lesson and also the lesson on PDF)

#### Full lesson on fibonacci sequences and sequences from diagrams

Full lesson based on fibonacci (investigative properties of these sequences), followed by patterns and sequences related to diagrams. Created for Higher GCSE, could be adapted to Foundation or high ability KS3. (Download includes Smart Notebook file of the lesson and also the lesson on PDF)