A pdf of a 28 slide PowerPoint that provides examples of CAT4 assessment tasks.
CAT4 assessments consist of verbal reasoning – thinking with words; quantitative reasoning – thinking with numbers; non-verbal reasoning – thinking with shapes and spatial ability – thinking with shape and space. Many schools use CAT4 to provide ‘predictions’ for GCSE results.
Four sets of practice assessment questions are provided plus additional questions. These questions should be practiced by students so they understand the patterns and inner logic of the four reasoning areas away from the pressure of sitting at a computer with the assessment about to begin, and the clock about to count down.
The PowerPoint is available with the correct answer highlighted. It can be downloaded here: https://www.tes.com/teaching-resource/resource-12785332
One page Maths diagnostic assessment. A pdf with diagnosic questions, rationale and assessment grid.
The assessment is designed for an individual student with a teacher. The focus is method and understanding not correct answers.
Can be used with a class.
Should be carried out at the start and end of either an academic year, or an intervention.
Please contact Cubed Maths if you identify any limitations.
cubed.maths@gmail.com
079 497 497 81
Key words: Four rules of arithmetic, conceptual, procedural, computational, errors, mistakes, prior learning, multiplication, division, addition, subtraction, fractions, ratio, spatial reasoning, self-efficacy, times tables facts, 12-hour clock.
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
Maths activity: mean, median, mode, range. Two Excel workbooks, one with macros and one without.
11 values of dice throws show the relationships between: ordered values, the frequency table, the averages table and bar chart.
The first workbook has the capability to randomly generate values or manual input. Macros must be enabled to use the second workbook that produces random values.
Based on S4 unit in Improving Learning in Mathematics.
Please contact Cubed Maths if you identify any limitations.
cubed.maths@gmail.com
079 497 497 81
Key words: mean, median, mode, range, statistics, frequency tables, raw scores, ordering, bar charts, dice, random.
CCEA and JCQ results.
14 years of analysis of GCSE results in Northern Ireland for English Language and Mathematics. Trends include:
entries
A* to A achievement
A* to B achievement
A* to C achievement
differences in female and male achievement.
Important for post-primary school and department self evaluation.
A spreadsheet that makes clear the links between graphs of quadratic functions and intercepts, turning points and symmetry. It is completely editable.
It works best with a=1 since the aspect of completing the square and bracket factoring need a more sophisticated approach (version 2?).
It includes a blank template for students to complete. Let me know in a review if you have any further suggestions for improvement.
A four page booklet bringing various approaches together that aim to improve how questions are asked in the maths classroom.
It is designed to be used for Maths Dept CPD rather than for teaching students although some slides would be useful for teaching.
It encourages teachers to ask better questions and to develop student questioning in Mathematics. It includes a modified Bloom’s taxonomy as a prism through which to see questions in Maths.
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.
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.
A spreadsheet to generate the dice outcomes of the seven dice in this popular game. It is useful if dice have gone missing or dice outcomes need to be presented to a group.
There are two views: the faces of the dice and the position of the blockers on the board.
A short PowerPoint including examples, sheets and solutions of 3-dimensional (3D) combinations of cubes drawn on isometric paper as an introduction to plans and elevations. Some slides contain advice in the notes section.
If you feel this is useful do please provide feedback particularly for any improvements that could be made.
A pdf of a 22 slide PowerPoint that shows some really important maths concepts in concrete form and which pupils should be aware of. Cuisenaire rods are the main focus but enhanced with the counting stick to produce a powerful arsenal for additive reasoning.
It covers equivalence, inequalities, decimals, factors, primes, composites, fractions, squares and algebra.
There is at least a weeks material for all ages at primary school and applicable to secondary students who have gaps in their understanding. 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 extensive use of animation. Most of the ideas are easier to access through animation and slow reveal.
A printable and editable bank statement for use in Key Stage 3 and GCSE Mathematics.
Created in Excel so different figures can be used. Two statements are given, one with negative entries and one without.
Please review since this is my first ever resource and I feedback would help me improve.
A pdf of a 17 slide PowerPoint that provides main themes surrounding CAT4 assessment tasks.
CAT4 assessments consist of verbal reasoning – thinking with words; quantitative reasoning – thinking with numbers; non-verbal reasoning – thinking with shapes and spatial ability – thinking with shape and space. Many schools use CAT4 to provide ‘predictions’ for GCSE results.
The pdf provides an introduction to CAT4 assessments. The normal distribution curve is outlined and the realtionship with stanines and standard age scores and how they are derived from raw scores. The important visual-spatial dynamic of CAT4 is dealt with in detail. Finally, caution is raised when using assessments to label students and create self-fulfilling narratives.
The PowerPoint is available with important animation which aids understanding and presentation. It can be downloaded here: https://www.tes.com/teaching-resource/-13070120
A fantastic way to introduce number bases and reinforce place value. Based on the wonderful Global Maths project.
The 32 slide PowerPoint includes animations, blank templates and mini explosions!
Please review if you download and use it.
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.
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
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
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.
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