Using column vectors to move blocks around to create Space Invaders. Four problems in total - each one is a little bit more complicated than the one before it. The worksheet should be free from errors but I’ve uploaded it as an editable Word file just in case! A scan of my solutions is also included.

Pre-requisit for quadratic factorising - considering the sum and product of two terms. This task looks at integers and algebraic terms (with some extension into factorising). It’s in three levels - it’s designed for pupils to pick their own level rather than working through all the sections.

A powerpoint to lead discussion introducing Pythagoras with Cuisenaire rods. A bit rough and ready / stream of consciousness in places but hopefully may be useful giving others some ideas / inspiration.

Smartboard files for use on an interactive whiteboard. PDF versions of the same file for printing as booklets and issuing to pupils. Notes contain examples for teachers to go over on the board and some tasks for pupils to do. There are past exam questions at the end of the booklet. Questions and examples have been sourced from various resources so make sure you're not issuing the same task twice! Page numbers on the cover refer to the R3 Scottish Secondary Mathematics textbook. DISCLAIMER: There are most likely errors in here as I'm bad at proof reading my materials so read and check over before using!

Smartboard files for use on an interactive whiteboard. PDF versions of the same file for printing as booklets and issuing to pupils. Notes contain examples for teachers to go over on the board and some tasks for pupils to do. There are past exam questions at the end of the booklet. Questions and examples have been sourced from various resources so make sure you're not issuing the same task twice! Page numbers refer to the Leckie and Leckie N5 book. DISCLAIMER: There are most likely errors in here as I'm bad at proof reading my materials so read and check over before using!

Calculating the internal angle of regular polygons by splitting shapes into triangles. Includes two extension questions which could be used to encourage pupils to think about the general case / link between sides and internal angles.

Trying to link fractions, decimals, percentages as well as making connections / laying foundations for ideas such as calculating percentages of amounts using blocks of 10% and 1%, division by 10 and 100, adding fractions, place value.

A set of tasks for pupils to pick and chose from working with square numbers, triangular numbers, Fibonacci numbers, and Pascal’s triangle. Some made up by me, some from various sources credited in the pdf attached.

Interpreting tolerance as a numberline and reversing the process (ie writing tolerance from upper and lower bounds)

Smartboard files for use on an interactive whiteboard. PDF versions of the same file for printing as booklets and issuing to pupils. Notes contain examples for teachers to go over on the board and some tasks for pupils to do. There are past exam questions at the end of the booklet. Questions and examples have been sourced from various resources so make sure you're not issuing the same task twice! Page numbers on the cover refer to the R3 Scottish Secondary Mathematics textbook. I made some "flipped learning" videos for these notes. They can be found here: https://www.youtube.com/playlist?list=PLcTPEkVfYHu-tCDY_M0LiJZkK-Lb-jF88 DISCLAIMER: There are most likely errors in here as I'm bad at proof reading my materials so read and check over before using!

SMART Notebook file and pupil handout. Notes for teacher lead discussion and tasks for pupils to do within the notes.

A Smart Notebook presentation and accompanying pupil booklet on the topic of Surds and Indices. Tasks for pupils to do throughout taken from a variety of sources (Don Stewrd’s Median blog: https://donsteward.blogspot.com/ and Dave Taylor’s Increasingly Difficult Questions: http://taylorda01.weebly.com/increasingly-difficult-questions.html in perticular).

Some belters of factorising questions from an old book from 1939.

Some linear equations to solve when using algebra tiles. The challenge when using tiles is the numbers getting too big and running out of tiles. These questions keep the numbers deliberately small to minimise the amount of tiles each pupil requires. Most of these are solvable with a maximum of 8 “x” tiles and 10 “1” tiles. The solutions should all be integers. I didn’t issue the sheet but used it as teacher notes and displayed the “your turn” on the white board when pupils were working independently. I used the excellent MathsBot website to demonstrate on the white board: https://mathsbot.com/manipulatives/tiles

Smartboard files for use on an interactive whiteboard. PDF versions of the same file for printing as booklets and issuing to pupils. Notes contain examples for teachers to go over on the board and some tasks for pupils to do. Answers are included on the final pag or as pullout tabs at the side of the slide. Questions and examples have been sourced from various resources so make sure you’re not issuing the same task twice! DISCLAIMER: There are most likely errors in here as I’m bad at proof reading my materials so read and check over before using!

A resource allowing pupils to use grids to complete the square and factorising trinomials. The first 5 questions are straight forwards enough but the ones following that have been deliberately picked to give deliberate results to facilitate discussion. Q6 gives the same result twice (ie it factorises to give a perfect square), Q7 and Q8 will not factorise (pupils will hopefully note these ones have a completed square constant that is not a square number), and Q9 is already in completed square form). The second side of the sheet gives pupils different starting points - either the factorised form or completed square form for pupils to work backwards from. The last four questions give pupils a chance to think about what they have done and to create their own trinomials to meet give criteria. Resource included as a pdf for ease of printing and an Excel file in case you wish to edit or adapt the resource for yourself.

An increasingly difficult exercise on the nature of the roots of quadratics which can be solved with the skills taught at National 5 (though moves beyond the style of question the SQA would ask). Inspired by Dave Taylor’s Increasingly Difficult Questions website. Also included are a set of “basic” essential skills questions too (taken from the Free National 5 Maths website).

Smartboard files for use on an interactive whiteboard. PDF versions of the same file for printing as booklets and issuing to pupils. Notes contain examples for teachers to go over on the board and some exam questions for pupils to do at the end. Questions and examples have been sourced from various resources so make sure you're not issuing the same task twice! DISCLAIMER: There are most likely errors in here as I'm bad at proof reading my materials so read and check over before using!

A selection of problems look at combining probabilities by listing outcomes in a table or with tree diagrams. First questions are independent events, final two need more care (ie event 1 impacts event 2). Editable word doc and pdf.

N5 Trigonometry (non right angled)