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
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
‘Forming and solving equations’ questions for maths lessons.
Includes questions on angles, perimeter, area and a mixture of other topics.
One pdf with questions and a separate pdf with questions and answers.
Questions range from medium to challenging.
A PowerPoint is available with correct answer animated so that each question can be discussed as a class or group: https://www.tes.com/teaching-resource/-12945410
Please contact Cubed Maths if you identify any incorrections.
cubed.maths@gmail.com
07949749781
Trial and improvement: questions for maths lessons. One pdf with questions and a separate pdf with questions and answers.
Questions consist of a range of medium level.
A PowerPoint is available with correct answers animated so that each question can be discussed as a class or group: https://www.tes.com/teaching-resource/-12976859
Please contact Cubed Maths if you identify any incorrections.
cubed.maths@gmail.com
079 497 497 81
Key words: 𝑥, algebra, equation, rounding, decimal place
Binary: questions for maths lessons. One pdf with questions and a separate pdf with questions and answers.
Questions consist of a range of medium level.
A PowerPoint is available with correct answers animated so that each question can be discussed as a class or group: https://www.tes.com/teaching-resource/-12956338
Please contact Cubed Maths if you identify any incorrections.
cubed.maths@gmail.com
07949749781
Key words: Decimal, base 2, base 10, place headings, place value, odd numbers
Inequalities: questions for maths lessons. One pdf with questions and a separate pdf with questions and answers.
Questions consist of a range of medium level.
A PowerPoint is available with correct answers animated so that each question can be discussed as a class or group: https://www.tes.com/teaching-resource/-12959726
Please contact Cubed Maths if you identify any incorrections.
cubed.maths@gmail.com
07949749781
Key words: <, >, ≤, ≥, greater than, less than, equal to, number line, inequality, algebra, integer, one sign, two signs
Flow chart questions for maths lessons.
One pdf with questions and a separate pdf with questions and answers.
Questions range from medium hard to challenging.
A PowerPoint is available with correct answer animated so that each question can be discussed as a class or group: https://www.tes.com/teaching-resource/-12945339
Please contact Cubed Maths if you identify any incorrections.
cubed.maths@gmail.com
07949749781
Histograms: GCSE questions for maths lessons. One pdf with questions and a separate pdf with questions and answers.
Questions consist of a range of high level - M4 from CCEA.
A PowerPoint is available with correct answers animated so that each question can be discussed as a class or group: https://www.tes.com/teaching-resource/-13047203
Please contact Cubed Maths if you identify any incorrections.
cubed.maths@gmail.com
079 497 497 81
Key words: histograms, compound measures, stratified sampling, sample, estimation, mean, mode, median,
quartile, interquartile range, frequency density, measurement, frequency, class width
Very useful techniques for GCSE Maths and GCSE Further Maths using the CASIO fx-83GTCW or fx-85GTCW CLASSWIZ calculators.
Don’t forget to provide feedback if you find the pdf useful. Thanks
A PowerPoint is available with correct answers animated so that each question can be presented and discussed with a class or group: https://www.tes.com/teaching-resource/-13051472
Please contact Cubed Maths if you identify any incorrections.
cubed.maths@gmail.com
079 497 497 81
Key words: Input, Recurring decimal, Percentage, Standard form ENG, Prime Factors, Proper fraction, Improper fraction, Mixed fraction, Time calculations, (Hrs - Mins - Secs), Factorial, Reciprocal, inverse, Square (to the power 2), Cube (to the power 3), To the power n, Square root (to the power 1/2 ), Cube root (to the power 1/3 ), nth root (to the power 1/n ), Answer memory, Save in A or B … F, Recall from A , Set decimal answers to 3 d.p., Clear rounding, Random fraction Ran#, Random integer RanInt#, Highest Common Factor, Greatest Common Divisor GCD, Lowest Common Multiple LCM, Calculate mode HOME, Permutation, Combination, Logarithms: base 10, 10 to the power of, Natural logs: base e ln, Logs: any base, e to the power of, Pi / Euler’s constant π e, Ratio mode , Define a function, Use a function, Table mode , Table for f(x), values -1, 0, 1, 2, Statistics mode, 1-Var Results, Edit values, Frequency table , Statistics mode , Straight-line equation from 2 points, Math Box mode , Inequalities on a number line
Estimation and approximation: questions for maths lessons. One pdf with questions and a separate pdf with questions and answers.
Questions consist of a range of medium level.
A PowerPoint is available with correct answers animated so that each question can be discussed as a class or group: https://www.tes.com/teaching-resource/resource-13053980
Please contact Cubed Maths if you identify any incorrections.
cubed.maths@gmail.com
079 497 497 81
Key words: Estimate, approximate, approximation, square root, round, decimals, area, division, multiplication.
A spreadsheet that displays the multiples and factors of two or three integers.
Input 2 or 3 integers and multiples are highlighted in 1-100 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 5 sheets:
a) factors of two integers (three 1-100 number grids)
b) factors of three integers (seven 1-100 number grids)
c) multiples of two integers (three 1-100 number grids)
d) multiples of three integers (seven 1-100 number grids)
e) multiples of two integers (one 1-1050 number grid)
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.
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.
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.
Legacy Specification (2018). The Prince’s Trust has updated the specification.
New specification pdf can be accessed here:
To be used alongside Teachers PowerPoint (see link below for ppt)
The aim of this unit is to develop an understanding of the benefits and different purposes presentations have, as well as develop the skills needed to give a presentation. This includes preparing, delivering and reviewing a presentation.
Teachers PowerPoint version can be accessed here:
If you use it please review.
A progression of mental maths strategies for addition and subtraction from a basic level to GCSE level.
The strategies are grouped as ‘Change’, ‘Split’ or ‘Jump’. It invites students to change a problem, to an easier form, before splitting numbers or/and jumping along the virtual number line that exists in their heads.
This is a useful resource for Maths teachers of all age groups to see what are the next steps for their students and also to see the range of different possible strategies available.
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.
Surds: questions for maths lessons. One pdf with questions and a separate pdf with questions and answers.
A PowerPoint is available with correct answers animated so that each question can be discussed as a class or group: https://www.tes.com/teaching-resource/-13057000
Please contact Cubed Maths if you identify any incorrections.
cubed.maths@gmail.com
079 497 497 81
Key words: simplify, expand, root, squared, difference of two squares, surd, rational, Pythagoras, cosine, cos, tangent, tan, space diagonal, area, cube, cuboid, trapezium
Surds: questions for GCSE maths revision. One pdf with questions and answers.
Please contact Cubed Maths if you identify any incorrections or have ideas for further papers.
cubed.maths@gmail.com
079 497 497 81
Key words: plans, elevations, front, side, view, elevation, rotational symmetry, cube, cuboid, structure, grid, volume, 3-dimensional.