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. 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 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)

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

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

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 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 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 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 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.

Full lesson recapping primes, factors and multiples, basic HCF and LCM and then focussing on prime factor decomposition and writing numbers as a product of prime factors. Created for GCSE classes, can also be used for KS3

Full lessons related to applying operations: Lesson 1 is on solving real life problems (calculating gas bill payments, how many coaches are needed scenarios etc.) Lesson two focusses on multiplication strategies (e.g. 30 x 63 = 3 x 10 x 63)and multiplicative reasoning (e.g. 18/0.4 = 180/4) Created for Higher GCSE, could be used for Foundation tier or high ability KS3. (Download includes Smart Notebook file of the lesson and also the lesson on PDF)

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 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)

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 (slides are enough for up to two lessons) on comparing and ordering FDP, starting with just fractions, then FD and finally FDP. Included is a challenging 'dominoes' style puzzle to get pupils converting between each number representation. (Download includes Smart Notebook file of the lesson and also the lesson on PDF)

A Ratio relay (with answers) used with high ability year 8, year 9 and year 10; ranges from sharing amounts up to part-information, challenging questions. (Download includes Smart Notebook file of the lesson and also the lesson on PDF)

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)