Collection of Maths Resources

Image result for Maths :image

Conceptual ideas are important. In a sense, there is a need to develop an intuitive ‘feel’ for mathematics (e.g. the ability to visualise the ideas of proportion in relation to many settings rather than simply being able to mechanically share quantities in a given ratio), which would probably not be developed via a solely procedural-based curriculum.

  1. Teacher Support Material from IB
  2. Paid MyMaths Website 
  3. Polyup - Experiential Learning 
  4. Homeschool Maths 
  5. YouCubed - Experiential Maths 
  6. Desmos Teacher Activities 
  7. Brilliant - Experiential Learning 


Image result for function images




Introduction


With the amount of Mathematics content online now a days,  I often find the biggest challenge is sorting through what to share with my students in class. Often resources appear usable at first, but then as you dig down deeper there are issues with alignment to the curriculum, notational differences or just confusing accents. However every now and again, you find a stand alone unit of work that has been handled particularly well and is ideally suited to being used in your class. In this case I try to do a blog post about it, so I don’t forget to use it in Future!  The content below is taken from the Khan Academy program on Algebra 1 and is a fantastic introduction to the concept of a Function in Mathematics. This is a foundational concept but can be tricky to explain. This unit allows students to proceed at their own pace and build up a solid understanding of the concept.

Using this unit in your class

Concept of a Function – History







Simplifying square roots

Quiz 1

https://www.mathopolis.com/questions/q.html?id=8805&t=mif&qs=8805_8806_8807_8808_8809_8810_8811_8812_8813_8814&site=1&ref=2f6e756d626572732f73696d706c6966792d7371756172652d726f6f74732e68746d6c&title=53696d706c696679696e672053717561726520526f6f7473

Quiz 2

Irrationals

https://www.mathopolis.com/questions/q.html?id=434&t=mif&qs=434_435_1064_2022_3987_1065_3988_2023_2990_2991&site=1&ref=2f6972726174696f6e616c2d6e756d626572732e68746d6c&title=4972726174696f6e616c204e756d62657273

Quiz 3 Surds

https://www.mathopolis.com/questions/q.html?id=2043&t=mif&qs=2043_320_2044_3162_3163_3865_3866_3867_3868_3869&site=1&ref=2f73757264732e68746d6c&title=5375726473

Quiz 4 exponents in algebra

https://www.mathopolis.com/questions/q.html?id=455&t=mif&qs=455_456_1080_1081_2058_2059_2060_2061_3870_3871&site=1&ref=2f616c67656272612f6578706f6e656e74732d7573696e672e68746d6c&title=5573696e67204578706f6e656e747320696e20416c6765627261

Quiz 5 Exponent Laws

https://www.mathopolis.com/questions/q.html?id=323&t=mif&qs=323_2215_2306_324_2216_2307_371_2217_2308_2309&site=1&ref=2f616c67656272612f6578706f6e656e742d6c6177732e68746d6c&title=4c617773206f66204578706f6e656e7473

Quiz 6 Fractional exponents

https://www.mathopolis.com/questions/q.html?id=321&t=mif&qs=321_322_1089_1090_1091_1092_2266_3997_17_2267&site=1&ref=2f616c67656272612f6578706f6e656e742d6672616374696f6e616c2e68746d6c&title=4672616374696f6e616c204578706f6e656e7473

Scientific Notation Notes

https://www.mathsisfun.com/numbers/scientific-notation.html

Quiz  7

https://www.mathopolis.com/questions/q.html?id=1340&t=mif&qs=1340_1341_1342_1344_1345_5077_5078_5079_1343_1346_1347_5080&site=1&ref=2f6e756d626572732f736369656e74696669632d6e6f746174696f6e2e68746d6c&title=536369656e7469666963204e6f746174696f6e



February 11, 2017

Animated Youtube Series on Euclid & Kahoot's that cover relevant material 


Image result for euclid image cartoon

A while ago I found the most delightful animated series on YouTube that explained the foundations of Euclidean Geometry delightfully. I decided it was so good  that I needed to start off my GR9 unit, showing these videos to my learners. Below are the videos together with some other resources I have collected, related to this unit of work Euclidean Geometry.

Kahoots

Collection of Maths Resources

May 14, 2016
June 07, 2016




Image result for calculus image


I recently put together a collection of Calculus Resources for GR12 Maths in the SA Curriculum, using the tool EDpuzzle and learning content available by Mindset Learn as the base. Hopefully they can prove useful to other Maths Teachers out there.
Calculus Intro + Functions
Average Gradient
Understanding Limits
Definition of Derivative
Example of Derivative first principles y = 1/x

Trig Resources 


Math, Trigonometry, Mathematics, Mathematical, Geometry


A while ago I started compiling a collection of fun resources related to the basics of Trigonometry. They will be most useful when acting as a supplementary resource to classroom instruction.

Kahoots
Google Quizzes




Why do co ordinates switch when reflecting over line y = x

September 14, 2016
RECENTLY I HAD A VERY INTERESTING DISCUSSION WITH ONE OF MY GRADE 9 STUDENTS AROUND THE IDEA OF WHY CO-ORDINATES SWITCH POSITIONS WHEN REFLECTING OVER THE LINE Y = X . THIS SECTION IS COVERED IN GR9 MATHS UNDER TRANSFORMATIONS. HOWEVER A LOT OF THE TIME STUDENTS TEND TO MEMORISE THE FORMULA WITH VERY LITTLE CURIOSITY AS TO WHY IT ACTUALLY WORKS. WHAT FOLLOWS IN THE REST OF THIS BLOG POST IS BITS FROM OUR DISCUSSION, TOGETHER WITH ARTIFACTS OF THE LEARNING PROCESS.

CONSIDER OBJECT A, WHEN IT GETS REFLECTED OVER THE LINE Y = X , IT FOLLOWS A PATH PERPENDICULAR TO THAT LINE AND REAPPEARS ON THE OPPOSITE SIDE AS A’ THE IMAGE. IT IS A REFLECTION THEREFORE AE = A’E.

NOW CONSIDER TRIANGLES AEB & A’EB, THEY MUST BE CONGRUENT DUE TO (SAS)

1) BE IS COMMON

2) ANGLE BEA = ANGLE BEA’ = 90 DEGREES

3) AE = A’E

NOW CONSIDER TRIANGLE ABC & A’BD, THEY MUST ALSO BE CONGRUENT DUE TO (AACS)

1) LENGTH G = LENGTH H – CONGRUENCY ABOVE

2) ANGLE ABC = ANGLE A’BD – SUM OF ANGLES

3) ANGLE ACB = ANGLE A’BD = 90 DEGREES – CONSTRUCTION

SO WHY DO CO-ORDINATES SWITCH WHEN GOING FROM GETTING THE REFLECTION OVER THE LINE Y = X

EG A(5;1) TO A’ (1;5)

TAKE ABC AND IMAGINE TRYING TO PLACE IT ON TOP OF CONGRUENT TRIANGLE A’BD. CAN YOU SEE BC NOW LINES UP WITH BD & AC WITH A’D. WHEN THAT HAPPENS, BC WHICH USED TO BE ON THE X AXIS GOES TO THE Y AXIS AND AC WHICH USED TO BE PARALLEL TO THE Y AXIS IS NOW PARALLEL TO THE X AXIS.

THE EFFECT OF THIS IS THAT X BECOMES THE Y AND THE Y BECOMES THE X, HENCE THE RULE IS:

(X;Y) -> (Y;X)

I WILL HAVE A CRACK AT A FORMULA FOR THE MORE GENERAL CONCEPT OF A FORMULA FOR REFLECTING OVER ANY ARBITARY LINE IN A LATER POST , BUT I HAVE A FEELING IT MAY HAVE SOME FAIRLY INTERESTING MATHEMATICS IN IT … (:

IF YOU ENJOYED THE POST OR JUST WANT TO CLARIFY ANYTHING YOU READ, PLEASE FEEL TO LEAVE A COMMENT

Comments

Post a Comment

Popular posts from this blog

Finding Academic Information Efficiently

Image
  Intro Here are a collection of links that give great advice on how to track down academic information efficiently over time. It could be particularly helpful for postgraduate students who are finding the accessing and sorting of academic information overwhelming. https://paperpile.com/g/academic-search-engines /  https://paperpile.com/guides/research / https://paperpile.com/guides/writing/   https://paperpile.com/g/search-online-research-database/   https://paperpile.com/g/academic-research-databases/   https://paperpile.com/g/google-scholar-guide /  https://paperpile.com/g/search-online-research-database /  https://paperpile.com/g/eric-research-database/   https://paperpile.com/g/what-is-research-paper/   https://guides.library.ucla.edu/databases/choosing  
Read more

Using Mathematics to Help Buy a Car in the South African Context (Part 2)

Image
Image Credit Follow on  In the previous post ( link to part 1 )  I discussed the basic mathematical  ideas to have in mind when thinking about purchasing a car. I had decided I would look at cars in the range of 80 - 100 000 rand and I wanted to buy a used car because of the better value offered. The videos in post 1, suggest cars around the range of 2 - 4 years old, as they offer the best trade off between future maintenance costs and depreciation on the purchase price after you have bought it. I agree with the facts laid out and will probably look for something in the 3 to 4 year old range. However I still need to check to see if the same patterns on maintenance costs and depreciation are also true in the South African context.  This points to our next step in our search. How do we get accurate information relevant to the SA context to see if these ideas mentioned are true and so allow me to get closer to my ultimate goal, buying a car. I am going to start with an ...
Read more

A little bit about OneNote for Maths Teachers

Image
Intro Over the last year or so I have increasingly been using Microsoft OneNote to author my maths lessons. I think a lot of maths teachers would benefit from having a closer look at the tool as it has a lot features that lessen the amount of work a maths teacher has to do when preparing lessons. It is also very easy to work with, when collaborating with other maths teachers because of the native sharing functions it has. Some Useful Links  These are a collection of links I saved to help with common problems I had when starting to use OneNote as Maths Teacher.  My Online Notebooks URL   (link to the online version) Export and Import Copies of OneNote Notebooks  Import Whole Notebooks into OneNote Online URL Great OneNote Youtube Tutoria l for Maths Teachers  Summary I plan to return to this post in future and update it as I continue using OneNote in my Mathematics Teaching in 2022. 
Read more