75 Bar model questions and answers for GCSE thinking. The questions are from week 2 to 4 Barvember 2020.
Each day, there are 2 accessible questions, another 2 that requires more thought and a final challenging question.
All sorts of mathematical contexts are used. The solutions are efficient and designed to a minimum number of steps.
Week 1 from 2020 can be freely downloaded from here: https://www.tes.com/teaching-resource/-12881886
25 Bar model questions and answers for GCSE thinking. The questions are from week 1 Barvember 2020.
Each day, there are 2 accessible questions, another 2 that requires more thought and a final challenging question.
All sorts of mathematical contexts are used. The solutions are efficient and designed to a minimum number of steps.
The next 3 weeks from 2020 can be downloaded from here:
https://www.tes.com/teaching-resource/-12881902
To play this Maths game, students need to know the following:
multiples
digits
prime numbers
square numbers
making a calculation using one operator (+, -, x, ÷)
using bingo cards
Designed by James Muldoon (11) and Barbara Muldoon.
An 11 slide PowerPoint that uses Couch to 5K as a context for thinking about time, distance and speed.
The cards and tables of each C25K session are useful to initiate class conversations about components of speed and how to go about getting fitter.
Ratio and percentages can also be explored using this context.
The correct answers are included and there is a spreadsheet containing the constructed charts which can be edited.
A free pdf version of the slides without answers can be downloaded from here:
https://www.tes.com/teaching-resource/-12850965
A pdf of a 6 slide PowerPoint that uses Couch to 5K as a context for thinking about time, distance and speed.
The cards and tables of each C25K session are useful to initiate class conversations about components of speed and how to go about getting fitter.
Ratio and percentages can also be explored using this context.
The PowerPoint is available with the correct answers and spreadsheet containing the constructed charts which can be edited. They can be downloaded from here:
https://www.tes.com/teaching-resource/-12850971
Update October 2024. A macro enabled spreadsheet that provides visible representations of multiples and factors.
Use drop-down menus to select integers to show factors and multiples highlighted in 1-100/1-200 number squares.
One square shows the multiples of the first integer. Another shows the multiples of the second integer. The third shows the multiples of both.
The same is shown for factors.
There are 10 sheets:
a) FactorsA - factors of all numbers from 2 up to 200. Show visibly why only integers to half-way are required
b) Factors B - factors of all numbers from 2 up to 200, colour coded showing prime and square numbers
c) F&M - factors & multiples side by side in two 1-200 number grids
d) O&E - even & odd numbers shown in a 1-200 number grid
e) PF - prime factors of three numbers as tiles
f) HCF2 - factors of two integers, showing HCF (three 1-100 grids)
b) HCF3 - factors of three integers, showing HCF (seven 1-100 grids)
c) LCM2a - multiples of two integers, showing LCM (three 1-100 grids)
d) LCM2b - multiples of three integers, showing LCM (seven 1-100 grids)
e) LCM3 - multiples of two integers, showing LCM (one 1-1050 grid)
Macros must be enabled. The sheets are protected so students/teachers can only type in integers in the correct cells. They can be easily unprotected to make changes.
I would welcome any suggestions for improvement.
New Specification (2021)
Legacy specification ppt can be accessed here: https://www.tes.com/teaching-resource/resource-12626371
To be used alongside Student Booklet (see link for free pdf below)
The aim of this unit is to develop an understanding of some of the basic principles around personal money management.
Personal debt is a growing concern and understanding some of the basic principles when working out take home pay and budgeting principles for a household income helps develop an understanding of the value of money. Updated to include definitions of the National Minimum Wage and the National Living Wage.
Free pdf version can be accessed here: https://www.tes.com/teaching-resource/resource-12626381
If you use it please review.
New Specification (2021)
Legacy specification pdf can be accessed here: https://www.tes.com/teaching-resource/resource-12442002
The aim of this unit is to develop an understanding of some of the basic principles around personal money management.
Personal debt is a growing concern and understanding some of the basic principles when working out take home pay and budgeting principles for a household income helps develop an understanding of the value of money. Updated to include definitions of the National Minimum Wage and the National Living Wage.
PPT version can be accessed here: https://www.tes.com/teaching-resource/resource-12626382
If you use it please review.
**Legacy version. The Prince’s Trust has updated the specification. **
The new ppt version can be found at https://www.tes.com/teaching-resource/-12626382
To be used alongside Student Booklet (see link for free pdf below)
The aim of this unit is to develop an understanding of some of the basic principles around personal money management.
Personal debt is a growing concern and understanding some of the basic principles when working out take home pay and budgeting principles for a household income helps develop an understanding of the value of money
Free pdf version can be accessed here: https://www.tes.com/teaching-resource/resource-12442002
If you use it please review.
An audit tool to use alongside the Ofsted research review of Mathematics. Maths Departments can use the tool to either audit the extent the department cover the identified features or audit how important the department views the features.
It enables Maths teachers and departments to identify areas of the review they think are important to address before homing in on the research of the relevant areas.
A self-evaluation tool assists to analyse and to assess the impact or use of the review.
A 46 slide PowerPoint that introduces or utilises many mathematical concepts. Mainly for post-primary settings but elements could be used in primary.
A free pdf can be downloaded here: https://www.tes.com/teaching-resource/-12555186
There is at least a months material for lessons and will be useful for revision classes or an introduction to the concepts involved. Please review it if you download it and do put it to good use.
The PowerPoint allows the teacher to introduce the key ideas to students via animated slides. Most of the ideas are easier to access through animation and slow reveal. There are answers for most problems in the slides notes.
These are the concepts covered:
Match Combinations: generalisations, combinations, multiplicative reasoning
Two-way grids: preparation for simultaneous equations
Comparing texts: data handling, sample sizes, mode, range
Direction and distance: compass directions, left and right directions, absolute, relative
Rectangle: area, perimeter, asymptotes
Square patterns: 1. multiplicative reasoning, graphs, tables, algebraic manipulation, sequences, linear, quadratic
Dissecting a square/rectangle: tangram, square, parallelogram, triangle, proportion, percentages
Problems about perimeter and area: area, perimeter
Ratio and proportion mystery: percentages, ratio, proportion, average (mean)
House swap: interpreting distance-time graph
Probability mystery: probability, card sort
Fractions mystery: fractions, card sort
Venn diagrams: factors, multiples, prime numbers
Broken window: logic
Shikaku: introduction and development
Three problems: algebraic reasoning
Logic puzzle: introduction to this type of reasoning
What’s it worth?: preparation for simultaneous equations
Wacky races: ordinal and time logic puzzle, card sort
Sudoku
Znorlian: binary, sequences, card sort
Roofs: algebraic reasoning
Antidotes: ratio, percentages, fractions
Percentage paradox: introduction to Simpson’s paradox
Probability investigation: tally table, sequence of outcomes
Card trick: binary, base 2 place value headings
A pdf of a 46 slide PowerPoint that introduces or utilises many mathematical concepts. Mainly for post-primary settings but elements could be used in primary.
There is at least a months material for lessons and will be useful for revision classes or an introduction to the concepts involved. Please review it if you download it and do put it to good use.
If you think this is good, think about purchasing the PowerPoint. It allows the teacher to introduce the key ideas to students via animated slides. Most of the ideas are easier to access through animation and slow reveal. There are answers for most problems in the slides notes. It can be downloaded here: https://www.tes.com/teaching-resources/dashboard/resource-management/add-resource/12555207/published
These are the concepts covered:
Match Combinations: generalisations, combinations, multiplicative reasoning
Two-way grids: preparation for simultaneous equations
Comparing texts: data handling, sample sizes, mode, range
Direction and distance: compass directions, left and right directions, absolute, relative
Rectangle: area, perimeter, asymptotes
Square patterns: 1. multiplicative reasoning, graphs, tables, algebraic manipulation, sequences, linear, quadratic
Dissecting a square/rectangle: tangram, square, parallelogram, triangle, proportion, percentages
Problems about perimeter and area: area, perimeter
Ratio and proportion mystery: percentages, ratio, proportion, average (mean)
House swap: interpreting distance-time graph
Probability mystery: probability, card sort
Fractions mystery: fractions, card sort
Venn diagrams: factors, multiples, prime numbers
Broken window: logic
Shikaku: introduction and development
Three problems: algebraic reasoning
Logic puzzle: introduction to this type of reasoning
What’s it worth?: preparation for simultaneous equations
Wacky races: ordinal and time logic puzzle, card sort
Sudoku
Znorlian: binary, sequences, card sort
Roofs: algebraic reasoning
Antidotes: ratio, percentages, fractions
Percentage paradox: introduction to Simpson’s paradox
Probability investigation: tally table, sequence of outcomes
Card trick: binary, base 2 place value headings
A ten page workbook on the enjoyable puzzle game of Shikaku.
Simpler to master than Sudoku but with more mathematical content, Shikaku helps student develop spatial awareness.
It is a useful way for students to appreciate prime numbers in a concrete setting using the ares of rectangles and squares. Square numbers can also be contextualised.
Comparing the countries of the UK, with an emphasis on Northern Ireland, this publication shows the main summary points from the 2015 PISA results regarding Science, Reading and Mathematics. It was originally published in 2017.
An updated version incorporating 2018 PISA results will be published shortly.
81 medium and 81 small tiles for use with Izak9 cubes. In recent times, collaborational activities with Izak9 cubes have been limited by social distancing. These tiles can be used as individual sets and enable students to follow the tasks set by the teacher following the Izak9 online support material.
These tiles are not endorsed by Qubizm.
Very useful techniques for GCSE Maths and GCSE Further Maths using the CASIO fx-83GT or fx-85GT CLASSWIZ calculators.
Don’t forget to provide feedback if you find the pdf useful.
Very useful techniques for GCSE Maths and GCSE Further Maths using the CASIO fx-83GT or fx-85GT calculators.
The newer CLASSWIZ version can be found here:
https://www.tes.com/teaching-resource/gcse-calculator-techniques-for-casio-fx-83gt-fx-85gt-classwiz-pdf-12457188
Don’t forget to provide feedback if you find the pdf useful.
Legacy Specification (2018). The Prince’s Trust has updated the specification.
New specification pdf can be accessed here: https://www.tes.com/teaching-resource/resource-12626381
To be used alongside Teachers PowerPoint (see link below for ppt)
The aim of this unit is to develop an understanding of some of the basic principles around personal money management.
Personal debt is a growing concern and understanding some of the basic principles when working out take home pay and budgeting principles for a household income helps develop an understanding of the value of money
Teachers PowerPoint version can be accessed here: https://www.tes.com/teaching-resource/-12626371
If you use it please review.