MathematicsYears 7 - 12Junior maths (7-10), Maths A, Maths B, Maths C, Vocational maths
Ideas wanted: I was just wondering if any one had any material or websites on collecting data and analysing data appropriate for year 11 pre-voc maths??? In otherwords A fun and interesting way to teach graphing ??

ABC Splash - Vidoes, games, digibooks, audio and many other resources suitable for junior secondary:
http://splash.abc.net.au/secondary#/subject/maths/video

Important Theories for Maths

If you are looking for courses to complete at uni that are specifically designed to educate you in HOW to TEACH maths, I strongly recommend EDX3280. This course covers both primary and middle school (up to year 9) mathematics, looking specifically at theories and models of teaching different maths topics. It has given me a stronger understanding of the importance of giving students the opportunity to have concrete experiences of maths, and the steps to move them into the symbolic representations. It follows Jerome Bruner's language model closely.

Eq's online modules for How to teach mathematics. You will need to join Scootle:

http://www.scootle.edu.au/ec/pin/LOHUQJ?userid=169440

Maths: Real Life Applications:

Trigonometry: http://www.physicsforums.com/showthread.php?t=55479 This site is a discussion on the real life uses of trigonometry. My thoughts is that if you are starting a topic that does not have a clear real life application, then it is possible to set students a task, either in class time or for homework where they have to find the different ways that the topic is used in real life. By using real life situations students are more eager to participate in these activities and learn as it becomes relevant to them and not just some boring topic which they assume will never have to be used outside the classroom.
The link below shows a program aimed at making mathematics more engaging and interesting which can boost student participation and success in mathematics
http://makemathmore.com/

ABC (2008) Retrieved date: 11 August 2011, from: http://www.abc.net.au/science/photos/mathsinnature/ 'Mathematics might seem an ugly and irrelevant subject at high school, but it's ultimately the study of truth - and truth is beauty! You might be surprised to find that maths is in everything in nature from rabbits to seashells.' This site presents where mathematics can be found in nature, there is a slide show presentation with pictures explained with words beside is what mathematical concept links to each picture and how it can be found. It is truly amazing. Seriously check it out.

The futures channel (2011) Retrieved date: 11 August 2011, from http://www.thefutureschannel.com/index.php Mathematics can be related to the real world in many different ways, on this link it has video's that relate maths directly to the real world environment and some are accompanied by lesson plan ideas for integrating the ideas into the classroom environment more successfully.

Maths Resources (General)


YouTube Clips:


Websites:

IXL Learning., (2011) Retrieved August 9 2011 from http://au.ixl.com/math/year-8
This site is very useful as it is aligned with the national curriculum that is currently being introduced to Queensland Schools. It only has Prep- year 8 at the moment but it looks like it will advance to higher grades as well. It provides all the topics that are learnt during particular years and it is a simple testing of the student's knowledge about particular topics. If a student answers the question incorrectly, it provides a simple rule and then a broad explanation, using the rule, about why and how the answer is different to the one the student got.

Banfill. J., (2009). AAA Math. Retrieved August 9 2011 from http://aaamath.com/
This resource is targeted to Prep- year 8 students however, it is also beneficial to teachers of year 8 maths or even with learning disability students who struggle to grasp various mathematical skills. It provides questions to which the student answers and the computer provides a correct/incorrect mark and a percentage. A teacher at my school uses it for his LSU (Learning Support Unit) students and challenges them to do 10 or more questions whilst keeping the percentage above 85%. The topics range from Addition; Algebra; Comparing; Counting; Decimals; Divisions; Mental Maths; Fractions; Geometry; Measurement and so much more.

Hahn, K. (2010). Karl's calculus tutor. Retrieved August 14, 2011, from http://www.karlscalculus.org/calculus.html#toc This is a very comprehensive calculus site complete with study tips, reasons to study calculus in the first place, worked examples and online calculators for limits, derivatives, integrals, etc. Most of the concepts are fairly advanced, but they are well explained, thus motivated students in senior years may benefit from this site.

Simkin, J. (1997). Maths Websites. Spartacus Educational Retrieved August, 2011, from http://www.spartacus.schoolnet.co.uk/REVmaths.htm

'Math websites' is more of a reference page full of free, reliable mathmatics websites for secondary school students. The recommended sites range from puzzles and games to Maths lessons and even Probabilistic Learning Activities Network.


Vanovschi, V. (2011) The number empire. Retrieved August 14, 2011, from http://www.numberempire.com There are links to twenty-two different online calculators on this site. Some of them may be useful for students from year 9, but most (derivatives, integrals, etc.) only in maths A or B. There are no drills on this site, still it can prove very useful for teachers to quickly check exercises when producing worksheets or for students studying at home.

Maths Mastersis a website prepared by mathematicians Burkard Polster and Marty Ross. This website is a great resource for more advanced thinking, and relates maths to real life situations. The site provides:

  • links to their regular articles which get published in "The Age Education Resource Centre" which focus on some trickier maths concepts
- why 0.999... = 1
- how triple mirrors work
- statistics in sport
- how to make the perfect plane
  • as well as Fun articles like
- How to tie your shoelaces
- How fast is your car
  • Maths in the Movies section (very entertaining)
  • Comments on the Australian National Mathematics Curriculum and Naplan.

Interactive lesson resources:

  • http://www.funmaths.com/index.htm High School Mathematics Interactive Learning may be more geared for elementary students, but it offers a little bit of something to everybody. There is a free game, while others can be downloaded and played in demo mode or become fully operational after an inexpensive registration. Schools can buy school licensed CDs, while teachers find a forum to exchange worksheets.
  • http://www.mathsonline.com.au The Australian Maths Online website from McDonalds contains interactive lessons and worksheets for Secondary Mathematics (grades 8 - 12). Teachers can set activities as homework and monitor student participation and progress online. Requires registration - for pre-service teachers, during prac you can ask your mentor to add you under the school's registration, and give you access to classes that you are teaching. This is an excellent resource with over 800 lessons which use well-explained examples, self-tests which are marked and worked solutions (only available after test is submitted for testing). Test answers are able to be re-submitted and progress can be followed by parents with the option of having their child’s progress e-mailed weekly.
  • http://phet.colorado.edu/ phET - Interactive Simulations from the University of Colorado. This site has free Java-based interactive activities for Maths. Activities can be accessed and run online, or can be downloaded. It appears that the whole website of activities can be downloaded to a computer, at around 110MB for the lot.
  • http://en.wikipedia.org/wiki/Prime_number
    This website is everything you need to know about prime numbers, including definition, examples, history, distribution, application and other related issues.
  • www.wallwisher.com This site allows for creation of virtual notice boards, called ‘walls’, to which virtual post-its (limited in character number) are added. A wall can be created by any member (membership takes seconds) and contributed to by anyone. Although not subject specific, there is definite potential for Maths students to take advantage of these virtual notice boards. Walls can be set up for each class, project or exam topic (etc.), with students adding their own ideas or questions about class work/assignments to a wall. One suggested use would be to create a wall for revision before exams and ask students to each create and contribute one question on a specified topic which can then be included on their revision sheets.

Teacher resources:

Hand outs, topic explanations, blogging page, vidoes, activities, articles, lesson plan ideas, websites, web quests for all year levels and academic levels.
  • Teacherschoice.com.au - Maths This teachers choice site provides easy to follow and understand mathematics concepts. The page provides "how to" documents for a wide variety of mathematical topic from Algebra to Money. Provides great information teachers could use to make handouts regarding a topic or to make you students aware of the site if they are struggling to understand a topic this site may explain in a way they can understand. The wide variety of content on this site covers grades 8-12 mathematics topics. - Vaughan, B. 2011. Free Mathematics How to Library. Retrieved August 3rd, 2011 from, http://www.teacherschoice.com.au/mathematics_how-to_library.htm

  • jacplus.com.au This site is designed as a teachers companion to accompany books published by Jacaranda. The site requires the user to be a member and this is free when you have purchased one of the jacaranda series of books that comes with additional JacPlus resources. The site is designed to accompany in the case of mathematics the Maths Quest text for Queensland from Maths A to C for both grades 11 and 12. It provides additional problems and resources to the teacher and students to further skills and help gain a better understanding.

  • http://econtent.thelearningfederation.edu.au/ec/p/home This site is the home page for the Learning Federation – a fantastic compilation of teacher resources. The Learning Federation site links to thousands of resources – videos, interactive activities, photos, articles and so on – for all topics, in all subject areas. Each resource has a title and description, including year levels the resource is most suitable for. Registration is required to access the resources but is free for pre-service teachers (email the Learning Federation to register).

  • Resources for Classroom Teachers New South Wales Country Area Program - This site has a range of links to lesson plans, resources and external websites for Maths. and also Science and other areas. There are resources for various school levels (early, middle and senior phases).

  • http://www.teachervision.fen.com/math/teacher-resources/8592.html?imode=1:387&WT.mc_id=Math_Google&gclid=CLDYrqmZqaMCFQMjbgodBF4K3w Teacher Vision. This site has several maths resources for teachers from years 1 - 12. A main feature is that it helps teachers to develop creative lessons with links to other curriculum areas such as art and history. Teachers can also search for resources according to year level or topic.

  • http://mathematicslearning.blogspot.com/ This is a blog created by Rashimi Kathuria, a math teacher since 1994. This blog page has been designed to share new strategies for teaching/ learning maths. Under the "#13 Mathematics Street' link are links to other resources and math-based games that could be used as a reward or filler activity.

  • FREE Mathematics How-to Library A selection of mathematical categories are available from this web site.. These include alegbra, geometry, calculus, functions, trigonometry and much more. Each category has detailed examples which show clear workings and explanations. The content of this site would be very useful when planning lessons. http://www.teacherschoice.com.au/mathematics_how-to_library.htm
  • http://mathforum.org/library/resource_types/lesson_plans/ The Maths Forum is a massive resource pool created specifically for Maths teachers. The site contains hundreds of categories of interest to Maths teachers, including definitions and explanations of a massive range of Maths topics and concepts as well as resources such as activities, multimedia aids and lesson plans, listed by topic. A vast amount of information for Maths teachers, especially advanced Maths teachers. Many lesson plans I looked at were based on investigative activities. Definitely worth a look for definitions, information and activities.

  • http://www.mathsmate.net/WebPages/aus/blueAus.htm Maths Mate: Under the 'Skill builder downloads' page there are a range of free skill buildiers and worksheets for varying maths topics from year 8 to 10. Good for use as lesson worksheets, or as a backup for students who finish their set work ahead of time.

  • http://questgarden.com/index.php Quest Garden. This is an excellent site where teachers can use and/ or create web quests. These are fantastic for maths as they can promote a problem based learning environment, and higher order thinking skills. Web quests give teachers the opportunity to allow students to actively construct their own knowledge. These are suitable for years 8 - 12, the teacher can find an existing web quest for students to learn, or construct one specifically for their students. I have personally created a quest for volume, you can view this at the following website: http://questgarden.com/q/volume or http://questgarden.com/102/05/4/100423171755/

  • Kurilec, J. Academy Curricular Exchange Mathematics High School (9-12), Retrieved on: 11 August 2011 from: http://ofcn.org/cyber.serv/academy/ace/math/high.html This fantastic website has a range of mathematics lesson plans which relate the concepts covered through different year levels while relating the activities to the real world and experiences or things they have heard on the news that require maths to work them out. While it is a Columbian based website I found some great lessons which could be adapted to incorporate the essential learnings into them. The basic set out of them is easy to follow with step by step instructions and the objectives and goals already set and detailed in them. Allowing pre-service teachers to gain a greater understanding of how to incorporate more real world activities into the classroom, that practicing teachers in Columbia have found to work well.

  • http://www.lessonplanspage.com/MathJH.htmThe hotchalk lesson plans website page has maths lesson plans for junior and high school classes. With a range of lesson plans from algebra, geometry, graphing, mapping and money too, probability, statistics, problem solving, critical thinking and logic. This promoting an opportunity for teachers to incorporate such lessons into their curriculum and allowing them expand on their knowledge while creating a challenging environment for the students.

  • http://www.theteacherscorner.net/printable-worksheets/?gclid=CNL1ufyCzqoCFWVNpgodiVlIyw - You will have options to print premade worksheets, or make your own using our free worksheet generators. Your choices vary from crossword makers, to word search worksheets. You can also print out great premade worksheets that include maps writing prompts and journal pages.This site also offers lesson plans, other teacher resources, and collaboration projects.


Maths Games and Quizzes (online):

Everybody loves fun, educational games ; )

    • http://quizlet.com This site allows for the creation and use of virtual flash cards. To create cards, registration is needed, but pre-written cards can be accessed and used by anyone. Options for flip card use is endless and there are currently thousands of pre-written flip card sets – for hundreds of topics, in all subject areas, including all aspects of Maths – which can be accessed by anyone. One suggestion for use would be to create a set specific to content covered in class as a revision tool, including rules, formula, simple questions, etc. Also, students may enjoy creating their own revision questions to test themselves or their friends
    • http://www.aussieeducator.org.au/resources/teaching/mathematicsresources.html This site has various links to lessons, online quizzes, puzzles and games. It also includes mathematical glossaries, detailed explanations and solutions set within the maths curriculum.
    • Hooda Math games has many browser-based math games and activities. Some are more math-based, others are puzzle-based and problem-solving games. These appear to be mainly aimed at primary school age, however some of the more challenging puzzle-based games may appeal to junior high-school students. These games could be used as a reward or backup activity for students who have completed their work ahead of time, or even used as an activity within a lesson.
    • http://www.thatquiz.org/ This site is contains links to quizzes on Maths topics including: Integers – arithmetic, inequalities, averages, exponents, factors, algebra, calculus; Concepts – time, money, measurement, place value, graphs; Fractions – arithmetic, inequalities, averages, simplifying, probability; and Geometry – triangles, shapes, geometry, points, angles, number line and trigonometry. Free to access and easy to use. The number of questions and level of difficulty can also be adjusted to suit. Well worth checking out.
    • http://www.sumdog.com - the site contains various free maths games that are suitable for prep to year 10 maths A. It provides the option to play the games using numbers, addition, subtraction, multiplication, division and fractions. Some games include tower climber, street racer, athletics, alien invaders, penalty shootout, and many, many more. Most games are multiplayer, so you can play against thosands of students worldwide. The games cover 100 numeracy topics, split into 10 levels, however, they are all fun, engaging and educational so students can develop their numeracy skills.

    • http://www.mathplayground.com/games.html: This site is full of different games for mathmatics from P to grade 8. The reason i included this is for the simple fact that it has alot of games. for those children that are struggling to understand the basics of mathmatics and thus provide a distraction within the classroom, it could be an idea to task them to play these games, threefore they are building upon their basic mathmatical skills and minimizes any classroom disturbances.

    • http://www.kidsnumbers.com/ - KidsNumbers.com is the absolutely free math resourcedesigned by teachers, specifically for students and children of all ages. A place where students can practice all aspects of math, including addition, subtraction, multiplication, and division, telling time, algebra and fractions in a fun and pressure freeway. Math Foundations is a cutting edge, free12 week program that will help build the foundation your student needs to do well with mathematics.
      Teachers - Use Our Free Worksheet Generator To Create Customized Worksheets!
    • http://au.ixl.com/math/ - this website contains games, worksheets, problems and much more for students from preschool to year 8.
      They approach each maths concept from all angles, offering visual representations, word problems, interactive activities and more. With an abundance of maths problems for every learning style, students can't help but build lasting skills and confidence. There is a membership fee that is required which differs from parents to teachers. IXL is completely aligned to the Australian national curriculum


Books:

  • Algebra and Trigonometry is a useful book for preservice teachers. It includes not only general algebraic exercises but real life problems utilising the application of algebraic rules. It also inlcludes 'discovery, writing and group learning' sections, all of which encourage students to write about what they have learnt rather than simply applying formulas. The book has clear solutions and stresses points that need to be stresses when teaching algebra. This book also has an interavtive video to help build skills.

  • Stewart, J., Redlin, L. (2007). Algebra and trigonometry. Array Belmont, CA: Thomson Brooks/Cole. MATHS A Survival Guide for Students This book is useful for preservice teachers when determining whether or not they may need to revisit their basic algebra skills. It works through unknown quantities, multiplication, factorising, fractions, rules of working with powers and different knids of numbers all in relation to algebra. It is very much about understanding and reinforcing algebraic basics.

  • Parker, A., McSeveny, A., Collard, R., & Thomas, A. (2000) Queensland signpost maths book 4. Glebe: Pascal This book has close to a thousand exercises covering the four basic operations, as well as, measurements shapes and probability. The book has nonreflective pages and minimalist drawings, making work easy even for students who tend to get distracted. The sheer quantity of exercises guaranties that there is always something to do and variety facilitates choice.

  • Olive, J. (2003). Maths: a student's survival guide. Array Cambridge: Cambridge University Press.

  • Mathematics tertiary preparation level A - Study book 1 & 2 These two study books are great for many areas of mathematics including Algebra. I like these study books as they run through how to solve algrebraic equations starting out with simple equations gradually becoming more difficult.

  • Mohr, J. Taylor, J. Galligan, L. (2009). Mathematics tertiary preparation level A - Study books 1 & 2. Australia: University of Southern Queensland.

  • Teach Yourself VISUALLY Algebra This is a good book for any students who learn better visually, which I find is the majority of students. This textbook runs through various parts of algebra students will need to know in order to master the subject such as; properties of numbers, how to use powers and exponents, fractions, decimals, square and cube roots, etc.

  • Herzog, D. (2008). Teach yourself visually algebra. New Jersey.


  • Mathematics for Elementary teachers an activity approach and Mathematics for elementary teachers a conceptual approach
Bennett, jr. A. Burton, L. Nelson, L. (2010). Mathematics for elementary teachers a conceptual approach (8th ed.), New York, McGraw-Hill

The conceptual approach is a more traditional way of looking at different problems, how to set them out and gain a greater understanding of the ideas presented. New concepts are introduced in very simple terms that are useful in lower year teaching, then activities extend into year 8 and 9. Concepts range from integers, fractions, decimals through irrational numbers to statistics, probability and others.
More information and some activities are available on: http://highered.mcgraw-hill.com/sites/0073519456/

Bennett, jr. A. Burton, L. Nelson, L. (2010). Mathematics for Elementary teachers an activity approach (8th ed.), New York, McGraw-Hill
The activity approach is based on helping teachers to plan and implement interactive learning experiences into their classroom, many of which are supported by detachable resources in the back of the book.

  • Elementary and Middle School Mathematics - Teaching Developmentally This textbook is fantastic as it explains how maths topics (including probability) should be taught to students from early primary to middle school. It provides teachers with numerous models and follows the constructivist theories. There is also a great chapter about using technology to teach maths. This was the textbook for EDX3280, it is a fantastic resource regardless of whether or not you do this subject.
Bay-Williams, J., Karp, K., Van De Walle, J. (2010). Elementary & Middle School Mathematics, Teaching Developmentally (7th ed.). Boston: Pearson Education Inc.

  • Mathematics for Elementary Teachers- A Conceptual Approach This is a very useful textbook used to understand the process and content standards in mathematics and is a preparation tool you will need to become a teacher that will help students succeed in mathematics. This book teaches problem-solving techniques and how to apply calculator and computer technology to problem-solving along with hands-on activities to approach mathematical questions. You will acquire a clear understanding of mathematical concepts and familiarizes yourself with NCTM standards and the elementary school curriculum. This was a great book for beginning mathematics teachers and has all necessary information and tools you will need when teaching this subject.
Bennett, A., Burton, L., Nelson, T. (2000). Mathematics for elementary teachers: a conceptual approach (8th ed.). New York: The McGraw-Hill Companies Inc.

  • What Is Mathematics? An Elementary Approach to Ideas and Methods This book bridges the gab between high school mathematics and university mathematics with a degree level insight. It is particularly aimed for students who wish to continue on their maths study at University and contains a variety of different mathematical concepts rather than focusing on applications and problem-solving. This book allows you to pull all your mathematical learning together before continuing on with your mathematical study.
Courant, R., Robbins, H., Stewart, I. (1996). What Is Mathematics? An elementary approuach to ideas and methods (2nd ed.). Oxford University Press, USA.

Maths Resources - Specific to topic

Algebra


Websites


http://www.onlinemathlearning.com/exponent-3.htmlYears 9 and 10. This link gives a youtube explanation of how to easily explain positive, zero and negative exponents used in algebra. This site also gives various games and other explanations of math topics in any area from grade Kindergarden-12.
Positive, Zero and Negative Exponents. (2005). Retrieved 08 08, 2010, from online maths learning: http://www.onlinemathlearning.com/exponent-3.html

http://classroom.jc-schools.net/basic/math-algebra.html This site has a list of games for students to help with learning algebra. This is a great resource for teachers as it allows students to have fun while learning. I especially liked the late delivery game where you play as a postman solving algebra equations along the way to deliver the mail to the right house.
Math Algebra. (2006). Retrieved 08 2010, 07, from Basic skill practice games: http://classroom.jc-schools.net/basic/math-algebra.html

http://www.funmaths.com/worksheets/math_algebra_04.htm This portal gives different worksheets for Algebra that can be used in classes from grade 7-12. I like this site because it gives teachers an area to swap resources.
Math worksheets. (2000). Retrieved 08 07, 2010, from Funmaths: http://www.funmaths.com/worksheets/math_algebra_04.htm

http://www.themathpage.com/alg/rules-of-algebra.htm This page would be very useful for anyone with gaps in their understanding of algebra. This site explains some fundamental conventions of algebra, including the reasoning behind them. Also includes a worked example of each rule and several problems to solve for each rule/convention. Fantastic for revision or even first-time learning of algebraic conventions and the ways in which formulae are manipulated.Spector, L. (2011). Some rules of algebra. Retrieved 6 April, 2011, from http://www.themathpage.com/alg/rules-of-algebra.htm

http://www.mathleague.com/help/algebra/algebra.htm An Introduction to algebra is a useful resource for not only preservice teacher but students. It has clear examples and solutions for and array of algabraic questions. What is very useful is that because this web site is developed by Math League it has the links to the contests available how to purchase contest books containing even more mathematical problems including algebra.


http://math.rice.edu/~lanius/Lessons/calen.html From the Lesson Plans -> Algebra section of the Maths Forum site, this is not so much a lesson plan as a run-through of an algebraic problem using an everyday item (calendars). This is a form of word problem (algebraic expression required to solve) that I hadn’t seen before. Two possible and fully set-out solutions are included, complete with explanation of the process and logic behind it. A good extension or word problem activity.

http://cte.jhu.edu/techacademy/web/2000/heal/mathsites.htm This website has numerous games and resources on it for both mathematics teachers and students. It has a range of games and links to different site all aimed at helping to increase mathematics knowledge.

Worksheets:


This worksheet outlines many problems in year 12 algebra. The teacher may use this to revise any areas already covered and to outline any areas needed revising. Algebra functions. (2008). Retrieved 08 07, 2010, from iTute: www.itute.com


This resource is a homework sheet you might give grade 10 or 11 students. This worksheet allows the student to correct some common mistakes or misconceptions made in algebra by correcting the intentional mistakes made throughout this worksheet. I like this resource as it allows students to use higher order thinking in order to see where the mistakes are and correct them.
Homework humdingers. (2000). Retrieved 08 07, 2010, from Funmaths: www.funmaths.com
The Excel Essential Skills range of worksheet books for the whole range of Maths topics to all year levels. Each book is designed for a specific year (or range of years eg; 8-10) and specific topic (eg; algebra). Each concept is introduced with worked examples and all questions have corresponding answers. I found the books for $8 each at ALDI, so keep your eyes open – they’re well worth the cash.... Various authors. (2000-2010). Excel Essential Skills. Sydney: Pascal Press.


Money_Bags.jpg Managing Money Resources images_(1).jpg

Websites

Mathematics for All - Managing Money - Starters, Activities and Assignments This site is designed to accompany teaching the managing of Money as outlined in the syllabus. The site provides a number of activities for teachers regarding the topic of managing money that can be used along with the regular activities and questions from the desired text. They range in difficulty and therefore can be used for younger grades up to 11 Maths A.
Nuffield Curriculum Center, 2002. Mathematics for All - Managing Money. retrieved August 3rd, 2011 from http://www.fsmq.org/resources/managing-money,74,MO,SK.html

Simple Interest - Step by Step Video This video provides a great run through step by step of using the simple interest formula to answer questions. This short video would be a great resource students who are visual and auditory learners could use to better understand the Simple Interest Formula and its use. Could either be used to first t introduce the topic of simple interest and the formula or after the formula has been given and explained a little. Covers the basic use of simple interest in solving questions given certain information and could be used for various grades.
Ten Marks, 2010. How to Calculate Simple Interest. retrieved August 3rd, 2011 from, http://www.5min.com/Video/How-to-Calculate-Simple-Interest-286300622


Activities & Worksheets

& - this activity sheet works on using the depreciation formula (decay formula) of objects. The activities on this sheet are simple and could be given a revision or homework task. The sheet is focused at younger student groups of grades 7 & 8's. Also provided is the answer sheet for the activity sheet.
Scholastic, 2011. Resources - Making money grow Simple and Compound interest. Retrieved August 3rd, 2011 from, http://teachershare.scholastic.com/resources/13872

- This worksheet can accompany the one above and the answers for it can also be found within the answer key provided above also. This activity sheet focuses on interest both simple and compound and again would be used for students grades 7 or 8. This sheet would be a good little task for homework or revision.
Scholastic, 2011. Resources - Making money grow Simple and Compound interest. Retrieved August 3rd, 2011 from, http://www.scholastic.com/smp/pdfs/Actuarial_YR5_PDFs/actuarial5_worksheet2.pdf

,
The documents above are two activity worksheets and their corresponding answers sheets. These two activity sheets relate to taxation and are from the resource disc that came with the Grade 11 Maths A Maths Quest Text by Jacaranda.
Jacaranda, 2009. Maths Quest 11A - CD Rom.

. This is an A4 piece of paper that contains 6 10x10 grids that are very useful when teaching the concept of percentage. This document can also be copied into an overhead projector sheet.

Books & Guides


- This simple and compound interest PDF contains great definitions and ways of teaching the concepts of Simple and Compound interest to the students. It contains resources within this resource such as videos sample and and example activities and questions. The problems and working within the document are done in pounds as it isnt an australian or american document but are still great examples and questions and easily replace values with AUD. This document would be suitable for higher mathematics teachers to use for grades 10 or 11 maths A.
Metal: Teaching and Learning, 2011. - Section 3: Simple and Compound Interest. Retrieved August 3rd, 2011 from, http://www.maths.manchester.ac.uk/service/resources/METAL/pdfs/finance_and_growth/interest.pdf







Probability

Websites
http://msteacher.org/epubs/math/math6/lessons.aspx Middle School Portal. This link gives teachers some ideas for teaching probability to middle school students. There are numerous games which are a good starting point to develop understandings of the concepts of probability.

http://www.educationworld.com/a_curr/explainthat/explainthat008.shtml Education World Resources. This link provides teachers with lesson plan ideas, worksheets and interactive activities for students learning probability. These are ideal for middle school mathematics.

http://www.mathgoodies.com/lessons/vol6/intro_probability.html This link provides teachers with various experiments for probability. It also provides clear definitions for probability terminology including 'outcome', 'experiment', 'event' and 'probability'. This is a useful tool for middle school teachers.

http://www.experiment-resources.com/experimental-probability.html This site provides the teacher with a clear definition of theoretical and experimental probability.

http://richardbowles.tripod.com/maths/probability/prob_q.htm This is a probability multiple choice test, suitable for middle school students.

Program

SPSS Statistics is a program I have used within the Data Analysis course. Although it would be well too advanced for students, I feel it could be useful for teachers to be able to show students the real life aspects of statistics and the different ways to use this data and how this relates to real life situations.

Measurement (perimeter, volume, area ect.)
http://www.youtube.com/watch?v=KwXBMGdSWmI&feature=related, http://www.youtube.com/watch?v=eBAsK9jB91I&feature=relmfu, http://www.youtube.com/watch?v=eEapgixOWUY, These sites are good ones for introducing perimeter and area into a grade 8 class. Two sites a catchy songs that get the children to remember the formula of the area of a triangle and the perimeter. The other site looks at how to use the formula for the area of a circle.

Geometry


Burns, D. (2010). Free printable geometry worksheets. Helping with maths Retrieved August 2011, from http://www.helpingwithmath.com/by_subject/geometry/geo_worksheets.htm

This site is not only good for geometry worksheets, but contains a variety of free maths worksheet for grades 1 to 8. Even though it contains elementry subjects, it has reproducable worksheets that can be modified to older grades. The site is collaberated by several educators andtechnologists who got together to help parents help their children to improve in math.

http://www.mathopolis.com/questions/quizzes.php this site provides a number of different quizzes and is seperated into year levels for yr 3 to advanced. the types of quizzes range from algebra, addition to even polynomials. Easy and quick way to assess a students prior knowledge and where they are up to.
http://www.youtube.com/watch?v=VhgI48joCRA&feature=related this song not only uses a song to find the formulas for cylinders but also a varity of other shapes. It provides a good story for the students to follow and learn the surface area and volume. It would be useful when trying to cement these concepts for students.
http://vimeo.com/25016222 This website helps yr11 extension maths with the circle geometry rules. It helps them understand in more depth how to find the angles.
http://www.youtube.com/watch?v=iaU1eX_DPkY&feature=related this is a great little song to find the peremter of a rectangle. It is short and to the point with a catchy tune that will have students being able to find peremter. it is very basic and would be best suited to a grade 7 or 8 class
http://www.youtube.com/watch?v=eiHWHT_8WrE&feature=related This video is a song about circles and finding diameter etc. It is really catchy with a great beat that would help many students remember the important parts of a circle. This song would probably suit a year 8 or 9 maths class
http://www.mathsisfun.com/geometry/index.html This web site has alomost, if not everything on geometry, from the basic to the more advanced it is full of both content knowledge, rules and exercises to do. The website as a whole is simple yet visually appealing and has some great interactive visuals to reinforce the content learing and allows for visual learning.
http://www.homeschoolmath.net/online/geometry.php#solids Another great site that provides a range of different games for students to interact with. From what i could see it would best suit a year 8 group of students. It is broken down into various topics which makes it easy to find suitable games to play.
http://www.youtube.com/user/havefunteaching#p/u/6/JijhDDJvExo this is a great little song about finding volume of a rectangular prism. It shows a clear diagram and the use of a song helps the formula stick in your head.

http://cte.jhu.edu/techacademy/web/2000/heal/mathsites.htm Another great site that provides games,quizzes, problems and puzzles for students to complete. It has many different topics such as algebra, trig and geometry plus many more. Great website that is interactive and fun for kids.

Calculus


http://www.youtube.com/watch?v=yfXiisTraF0&feature=related
This website gives students a general understanding of what Calculus is and what it is used for. This would be a good video to show year 10 or 11 students as it is easy to follow because it is using characters instead of real people therefore it will engage students to want to learn it.

http://www.youtube.com/watch?v=dKtR2TlNWkY
This youtube clip is another good example of how youtube clips can be used for educational and on task engagement purposes.

Trigonometry


http://www.mathsteacher.com.au/year9/ch15_trigonometry/chapter15.htm This website gives excellent questions in different areas of trigonometry for grade 9. Students may use the questions to solve the problem themselves and check their answers or just read through the question and how to solve the problem for better understanding. This website shows both question and working on how to solve the problem which makes it a great resource for teachers and students alike.

http://www.youtube.com/watch?v=XFh_JC7OSrg This site is on Sin Cos Tan- Basic Trigonometry for grade 10. IT gives student practice into how to do trig. Students may stop and start this video to try the question before it is explained to them. This way they can do the question and then check their working and answer.

Graphing

Graphmatica is an installable graphing program. It has great functionality, and can perform many tasks such as solving equations, finding points on a line, finding tangents (derivatives) and so on. I found it a useful visual aid for teaching algebra and graphing related subjects. It does have to be installed, but I have found that if you install the program to a thumb-drive it will still work on any computer you connect the thumb-drive to. For prac I would recommend checking with your mentor teacher first to make sure it is okay to be used on the school's computer system.
http://bit.ly/numbernut NumberNut.com teaches the basics of maths to all ages. The site has sections which includes addition, subtraction, multiplication, and division. There are also more advanced ideas like fractions, decimals, and percentages.
**The Way You Learned Math Is So Old School** found this in a blog I read. The blogger commented: "This is interesting. I learned to do math the 'old' way - that is, by multiplying the top number by each digit of the bottom number, shifting, and adding the products. The 'new way' apparently involves multiplying each digit by each digit. I don't think it's easier. I don't do it either way any more. I multiply by the nearest whole number and subtract the difference (or add the difference). I guess the advantage of the new way is that all your multiplications are one digit by one digit. So if you must work it out in your head, you can at least ballpark it. I don't know, though. If you do a lot of counting (eg., in retail, where you should be able to just look at a stack of boxes and know how many units you have) it really makes sense to be able to do it the old way." http://www.npr.org/2011/03/05/134277079/the-way-you-learned-math-is-so-old-school?ps=cprs

Indicies

http://www.youtube.com/watch?v=OH11di5-mLI&feature=related,This Site gives students an understanding of what the indices law is and it has worked examples of how to use the law. It has other links to more laws and examples and it is useful for grade 10 students that are just learning how to do indices and need extra help.

http://www.curriki.org/xwiki/bin/view/Coll_kathyduhl/Algebra1?bc=&viewer=info
//Curriki//, a global K-12 community for creating, sharing, and finding open learning resources, has launched a //free Algebra 1 course// aligned with the Common Core State Standards. Available online, this project-based modular course engages students through real-world examples, projects, interactive web 2.0 tools, videos, and targeted feedback, Curriki says.