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
The aim of this unit is to support learners’ use of digital technology to enhance their communication, problem solving and employability skills, as well as their use of social media in a safe and informed way.
The booklet completed by the student making use of a search engine or AI tool.
PPT version can be accessed here: https://www.tes.com/teaching-resource/-12882179
If you download and it is useful, please return here and review.
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
One of a series of PowerPoints that use a card sort activity with Wacky Races characters.
The aim here is to position characters according to ordinal clues such as “Penelope Pitstop finished four cars ahead of Peter Perfect”.
High quality with gifs.
Please review if you put the ppt to use.
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 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.
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.
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.
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.
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.
#Simultaneous equations worksheets: two packs of three sheets.
##Pack 1 - integer answers for x and y##
Sheet 1: twelve questions, no scaling: Q1-6 different signs (add), Q7-12 same signs (subtract)
Sheet 2: twelve questions: Q1-6 scaling one term Q7-12 scaling both terms
Sheet 3: twelve questions: scaling both terms
Answer sheets provided
##Pack 2##
Same as pack 1 with different questions
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.
#Midpoint worksheets:
A 1.1 No graph, no halves, positive & negative gradient
A 1.2 No graph, halves, pos & neg grad
B 1.3 Graph, first quad, no halves, pos & neg grad
B 1.4 Graph, first quad, halves, pos & neg grad
C 1.5 Graph, 4 quads, no halves, pos & neg grad
C 1.6 Graph, 4 quads, halves, pos & neg grad
Answer sheets provided
Please contact Cubed Maths if you identify any limitations.
cubed.maths@gmail.com
079 497 497 81
Key words: straight line graphs, coordinates, midpoint, positive, negative gradient, quadrants.