I have been teaching MATHEMATICS (11-16) since 1990. I have regularly been commended on my classroom displays and the quality of my resources as I feel this enriches the student experience.
As a self-taught graphic designer I now produce professional quality materials for our academy/academy chain across all departments including posters/banners and promotional materials. I am currently working on updating some older resources as well as developing new ones!
I have been teaching MATHEMATICS (11-16) since 1990. I have regularly been commended on my classroom displays and the quality of my resources as I feel this enriches the student experience.
As a self-taught graphic designer I now produce professional quality materials for our academy/academy chain across all departments including posters/banners and promotional materials. I am currently working on updating some older resources as well as developing new ones!
An extreme good exercise in logical thinking this resource includes:
A beginners guide PowerPoint and Video that runs through the basics.
These also include tips and techniques for solving more advanced puzzles:
Also included:
The following that can be used as worksheets or cut into individual questions.
8 Beginner Level Questions 4x5 grids
32 Standard Level Questions 6x6 grids
16 Medium Level Questions 8x8 grids
All answers included
All artwork for individual questions to use in your own documents
Watch the video on you tube by seaching for
SUGURU - A beginners Guide
or use this link
https://www.youtube.com/watch?v=_4FxePqSEyA&t=73s
The lattice method of multiplication offers several advantages, particularly for students learning multi-digit multiplication. It breaks down the process into smaller, more manageable steps, making it easier to understand and visualize the multiplication of larger numbers. This visual representation can be particularly helpful for students who are visual learners or struggle with traditional long multiplication. Additionally, the lattice method can help reduce errors by clearly organizing the partial products and simplifying the addition process.
Hereās a more detailed look at the advantages:
Visual Clarity:
The grid structure of the lattice method provides a clear visual representation of the multiplication process, making it easier to understand how the partial products are derived.
Reduced Cognitive Load:
Breaking down the multiplication into smaller, individual steps reduces the cognitive load on the student, making it easier to grasp the concept, especially for larger numbers.
Error Reduction:
The organized structure of the lattice helps in aligning the partial products correctly, minimizing the chances of errors in the addition stage.
Adaptability:
The lattice method can be used to multiply numbers of varying sizes, including decimals and even polynomials.
Alternative to Long Multiplication:
It provides a different approach to long multiplication, which can be beneficial for students who find the traditional method challenging.
An activity/challenge that promotes logical, methodical, systematical thinking that students (in a wide age range) tend to enjoy.
Find all the 31 different rectangles āhiddenā in a tennis court.
Included:
A two page worksheet (can be printed back-to-back but is better as 2 separate sheets).
PDF and PowerPoint Answers
All associated artwork.
If you have found this useful please check out my other extensive resource called FINDING TRIANGLES with 50 puzzles
This is an activity that students across a large age range seem to enjoyā¦
It involves setting it them as a CHALLENGE.
A challenge to find ALL the triangles in a particular diagram made up of different regions.
This can be a full lesson, a series of lessons or simply a lesson starter depending on how you present it to them.
It can also be set as an individual, pairs or table activity.
It could be made competitive between individuals, pairs or tables.
It could form part of a homework?
It could form a part of a class display.
FULL LESSON
Itās main aim will be to get the students to work in a methodical/systematic way.
You could give it them and see what they can achieve on their own before showing how they can work smarter in order to find ALL the solutions.
There are 50 puzzles to choose from that vary in difficulty so pick the puzzles you think will suitable for your students.
The number of solutions per puzzle are in the 5-99 range.
While it is generally true that the more solutions there are the more systematic/methodical the students have to be, but some of the mid-range ones between say, 20-40 it will be essential.
STARTER OR SHORT ACTIVITY
Pick a suitable puzzle, set a time limit and just ask students to find how many triangles are made up of, perhaps 6 regions or 3 and 4 regions. Consult the āPuzzle Analysis grids to help you choose)
For example: Puzzle 28 has 99 triangles hidden it. Perhaps okay for a group to work on but looking at this table you might ask them to find just the 4 region triangles of which there are 15.
Included in the resource
An Introduction PowerPoint (14 slides)
A 50 page PDF (one puzzle per page) with each page having 12 blank diagrams (with guide lines so they can be cut out individually).
A 50 slide PowerPoint showing the solutions.
500+ pieces of CLIP ART (All the BLANK diagrams and individual SOLUTION diagrams) so you can use in your own documents if needed.
A puzzle analysis for each puzzle showing the distribution of the number of regions used per triangle.
SEARCH-FIND-COUNT - AT THE BEACH
USE INCLUDED POWERPOINT for WHOLE CLASS INVOLVEMENT
WORKSHEET AND ANSWERS CAN BE PRINTED VIA POWERPOINT
I have not tried this as I am a secondary teacher but I was trying to come up with an idea for a primary college that would make counting āmore interestingā .
I thought that the main image may be laminated to allow pupils to use a whiteboard marker to cross off/ circle the ones they have found.
A tally chart(s) also could be used.
I have included all the ARTWORK I have drawn as individual clip-art so that you could use them to create your own PowerPoints, Notebook files etc
If it a popular/useful resource, I may make a series with different topics/themes.
Please let me know what you think!
ALSO SEE
SEARCH - FIND - COUNT FARM ANIMALS
SEARCH-FIND-COUNT FARM ANIMALS
USE INCLUDED POWERPOINT for WHOLE CLASS INVOLVEMENT
WORKSHEET AND ANSWERS CAN BE PRINTED VIA POWERPOINT
I have not tried this as I am a secondary teacher but I was trying to come up with an idea for a primary college that would make counting āmore interestingā .
I thought that the main image may be laminated to allow pupils to use a whiteboard marker to cross off/ circle the ones they have found.
A tally chart(s) also could be used.
I have included all the ARTWORK I have drawn as individual clip-art so that you could use them to create your own PowerPoints, Notebook files etc
ALSO SEE
SEARCH - FIND - COUNT. ** At The Beach**
A PowerPoint that cover the very basics to the more complex
WORKSHEETS
Numbers 1-100 (100 Q over 10 worksheets)
Numbers 101-1000 (100 Q over 10 worksheets)
Numbers 1001-10000 (100 Q over 10 worksheets)
Numbers 1000-100000 (100 Q over 10 worksheets)
Numbers to 999999999999999 (20 Q slightly more complicated over 2 worksheets)
6)Questions to be done in pupil books
Numbers 100-999999999999999 (96 Q over 3 worksheets)
Different Place value tables/aids
Excel Spreadsheet that converts numbers into words
You will have to ENABLE MACROS
ALSO SEE
WRITING NUMBERS IN WORDS POSTERS - SPELLING and PLACE VALUE AIDS
AND
**Names of LARGE numbers POSTERS A2,A3,A4 **
ALSO SEE
WRITING NUMBERS IN WORDS - PowerPoint - Worksheets - Place Valve Tables and MORE
Choice of A2, A3 and A4 POSTERS (with tiling instructions)
Plus PDF & PNGās to use in your own PowerPoints/Notebook files etc
A5 sized Spelling Aids (to stick in student books perhaps)
A5 Colour - Place value aids - up to hundreds of trillions
If you only want to go to, say, millions - CUT OFF the billions and trillions parts
For these I have laminated them and students write their numbers using a dry wipe pen in the boxes below.
PDF &PNG files supplied
The numbers are written with standard index form/scientific notation
to make them easier to read and understand.
While trillion is an incredibly large number, and the one that is the highest that some people will know about, there are actually many numbers that are larger than it.
This poster shows names from Thousand to Googol and a few extra of note.
A4, A3 and A2 sizes with tiling instructions included
and a High Quality PNG file in case you want to use it to produce an even large poster of in your own PowerPoint/Notebook files
A4 BLACK WHITE VERSION ALSO INCLUDED
ALSO SEE
WRITING NUMBERS IN WORDS - PowerPoint - Worksheets - Place Valve Tables and MORE
AND
WRITING NUMBERS IN WORDS POSTERS - SPELLING and PLACE VALUE AIDS
This resource has a selection of posters showing the value of PI to a various number of decimal places.
The two distinctly different posters show the first 1000 and 10000 decimal places of PI respectivly (the latter having 3 colour variations and either A4 or A3 in size)
The banner shows the first 100 decimal places and can be either approx 3.5m or 7m dependent on how its stuck together (tiled).
This can be Pi, UP TO , 100 dp if you only print off as many sheets as you want.
ANOTHER comprehensive set of blank templates(40+) for you to use in your own documents, Powerpoints and Notebook slides etc. Only a few examples are shown the the image gallery above. You can import a template and resize it to what is required , either a large version or multiples per sheet (if you use the PDF version you can do this in the print settings automatically)
These include.
A set of grids and examples for creating a curve-stitched ALPHABET
A set using cube/rhombus patterns and more
On some of the more complicated patterns images of how to get started and steps along the way are provided
Let the students investigate different patterns they can make by joining spots up in different ways ( see investigation results graphic)
This is a follow up resource to my original curve stitching resource which is also FREE to download.
A 12 slide PowerPoint presentation showing how to prove Pythagorasā Theorem.
While there are some animations in the presentation, you may want to change some of the settings on them so that you can ask the students questions while you are presenting it.
I have many other resources based on this topic that can be downloaded for FREE.
108 QUESTIONS
36 DIAGRAMS
SOLUTIONS
INDIVIDUAL QUESTIONS are also provided as both PDF and PNG files for you to use in your own PowerPoint and Notebook files etc
Presented as 6 worksheets each with 6 diagrams.
Each diagram has three questions.
These can be used as a worksheet or cut into individual questions that are ideal to be stuck into pupil books.
The questions increase in difficulty (by number) and students should be made aware to be careful of reading the scales carefully as they can change from questions to question on certain worksheets
2135 UNIQUE BINGO PLAYER CARDS in 7 COLOURS and 3 DIFFERENT SIZES
PRINT ON A4 - 5 per sheet - 7 per sheet - 10 per sheet
BINGO KIT also includes:
A set of colour coded, playing card sized cards numbered 1-90, for drawing the bingo numbers (actually easier to manage than drawing balls as all the players could see the card)
A set of colour coded, small square (28mx28m) cards 1-90, as alternate for drawing the bingo numbers.
2 slightly different checklist for recording the balls that have been drawn.
OVER 400 blank cards to use in your own projects (just add your own numbers using the light grey squares as a guide)
There are on-line programs you can use for calling and checking your numbers.
PRIME NUMBERS LESS THAN 100 - Via PRIME PIXEL PICTURES (set of 25) + more
A fun way to learn the prime numbers less than 100
A set of 25 pixel picture puzzles
Shade the squares that have prime numbers
Identify Prime and Composite (non-prime) numbers
3 levels of difficulty
Worksheets (A5/A4) + ANSWERS + blank grids
Guidance/Instructions**
Prior Knowledge Required
Being able to identify some if not all the prime numbers less than 100
unless you use this as an activity for this purpose.
This is an activity designed to make the learning of PRIME numbers much easier and I have been surprised, in the past, how successful it has been.
Start with the PRACTICE question if needed.
For this and
ONE STAR PUZZLES the if you work through the grid,
starting in the top left hand corner and work left to right and row by row the sequence of PRIME NUMBERS <100 appear IN ORDER.
So find 2 and work through to 97
The sequence repeats (partially in some cases) up to the prime needed complete the puzzle
Get them to do this methodically - this is how they pick up the sequence ( a printed sequence for them to have alongside may scaffold the initial process).
TWO STAR - Same rules but generally a larger grid
THREE STAR - Usually a larger grid but primes not in a particular
order although some part of the prime sequence may
occur. (Find a 2 and it may be next to a 3, then a 5,
then a 7 etc etc)
I have provided some blank grids for pupils to make up their own puzzles.
Draw a picture by colouring in a small grid.
Then working with a larger grid get them to write LIGHTLY SHADE their picture onto a big grid
In each shaded square they then write a PRIME NUMBER (in sequence at first as in a one star puzzle) which gets them writing out the primes)
FILL IN THE REST OF THE GRID WITH NON-PRIME which is an equally IMPORTANT TASK
EITHER COPY THIS ONTO ANOTHER BLANK GRID or use COMPUTER and TABLE IN WORD, POWERPOINT or similar to produce a printable puzzle.
I have used ADOBEās InDesign to make this set of puzzles
Please Comment/follow so if there are upgrades/changes you can be easily notified - Thank You
DICE CLIPART - THE ULTIMATE COLLECTION - 5000 HIGH QUALITY IMAGES
Around 5000 High quality images of DICE
D4, D6, D8, D10, D12 and D20ās
IN PNG and PDF formats
for use in you own projects, worksheets Powerpoints, displays etc.
With many different colours and different viewpoints I think this is the ULTIMATE
COLLECTION.
See some of the worksheets I have produced in some of my other uploads.
I hope they prove useful as they have taken about 50-60 hours to make.
If you do download this resource:
*Half way through I did start calling light blue, CYAN to save a bit of typing when I was naming each individual example and to take this into account should you search for a particular colour dice amongst all these files.
A FUN GAME for groups of pupils includes mathematical /other facts about all numbers 1-100
OR USE THE CARDS AS A TEACHING RESOURCE
SET OF A5 mini-posters for SQUARE,TRIANGLE,PRIME and PERFECT NUMBERS + ALL INDIVIDUAL CLIP-ART
INCLUDED:
This A3 GAME BOARD
(Looks great laminated)
Play/rules involve using
SQUARE and PRIME numbers and much more
RED squares have SQUARE NUMBERS
GREEN squares have PRIME NUMBERS and have People on:child, young adult, old adult
BLUE squares have TRIANGLE NUMBERS
ORANGE squares have some ATOMIC NUMBERS
PURPLE squares have PERFECT NUMBERS
YELLOW squares have INTERNATIONAL DIRECT-DIAL CODES(country indicated by flag)
PINK have related to MISCELLANEOUS FACTS about that number (some maths some āfunā
ADVANCED VERSION
Rules for 2 different ways to play the game
Advanced 1 - Uses a SCORE CARD so the player can check off all the numbers they have landed on.
Each of these has a particular POINTS VALUE
BONUS points are awarded in certain conditions
THE POINTS TOTAL HAS THEN TO BE WORKED OUT
Advanced 2 - Uses a set of CARDS to COLLECT
(instead of the SCORE CARD)
Each of these cards have INFORMATION about that particular number and includes maths,science and fun facts
BONUS points are awarded in certain conditions
THE POINTS TOTAL HAS THEN TO BE WORKED OUT
BY COUNTING THE NUMBER OF POINTS ON EACH CARD
ALSO INCLUDED: GAME RULES, SCORE CARD, SET OF CARDS FOR EACH NUMBER (+BONUS CARDS)
100 SHIKAKU PUZZLES also known as RECTANGLES and CELL BLOCKS involves AREA of RECTANGLES
Shikaku (also known as Rectangles and Cell Blocks) is a logic puzzle with simple rules and challenging solutions.
The rules are simple. You have to divide the grid into rectangular and square pieces such that each piece contains exactly one number, and that number represents the area of the rectangle.
100 PUZZLES
Different GRID sizes
5x5 , 6x6, 7x7, 8x8 , 9x9 (12 of each)
10x10, 11x11, 12x12 (10 of each)
1 āGiantā puzzle that is a mixture of 10 different sized puzzles
POWERPOINTS included
How to solveā¦
How to ake your own puzzleā¦
PLUS
Blank GRIDS from 5x5 uo to 20x20
All the artwork I used to create the puzzles
A set of mathematical logic/reasoning puzzles involving gears.
4 worksheet - 7 top level questions with 74 subquestions.
Includes: Files as PDF and WORD
also POWERPOINT with the questions on for class discussion
plus All the questions and individual gears as CLIP-ART for use in you own documents.