Pythagoras was a famous mathematician who lived about 2500 years ago. He is credited with being the first person to prove that in any right-angled triangle there is a special relationship between the squares of the three sides. The theorem has an important role to play in everyday life because right-angled triangles occur in construction, navigation, planning, design and packaging. Pythagoras’ theorem is one of the great geometrical theorems.
So far you have learned about the rules that apply when using indices. But how might they be used in the real world? A good example is when bacteria divide and multiply – the population increases exponentially. The human population took 300,000 years to reach the first billion people, 130 years to add the second billion and only 12 years to add the fifth and sixth billion. We passed the seven billion mark last year. Find a table that shows the world’s human population and draw a graph using Excel, showing this data.
This is a picture of a mechanical calculator, common in Europe in the 1960’s. Imagine using one of these in school! We are lucky now to have very cheap and efficient electronic calculators that can do quite sophisticated operations. However, it is still important to have automatic recall of number facts – like when collecting change at a shop, calculating wages and saving for something special.
This week we will be practicing basic operations – multiplication tables up to 12, indices, order of operations (BODMAS) and short division. In Year 8 we will be doing operations with negative numbers. There are several FREE apps that you can access on mobile devices to practise basic operations:
***Wishball (place value, adding and subtracting)
***Motion Maths Hungry Fish (addition)
***Motion Maths Wings (multiplication)
King of Maths
Times Tables Quiz!
IXL Maths Practice
***I have tried and recommend these ones, but there are lots more available. Choose one, tell me about it and let me know what you think in the comments below. Please continue to work on your Mathletics activities and Mathsmate worksheets (due Friday).
This year I will be teaching both Year 7 and Year 8 students Maths in our small, rural school in SW Victoria. With relatively small class sizes and 1:1 BYOD we have great opportunities to engage students with high quality digital resources that help to foster a love of Maths learning.
Or, in the case of some teenagers, make them hate it a little less? Let’s face it, I work with adolescents every school day, and many of them haven’t yet found their passion. They have strong opinions about what they like (“Call of Duty” and One Direction, for example) and what they hate (mostly homework, uniforms and algebra). CoD and ID are much more relevant and useful than…..whatever.
So, to get on with this post, my intention is to share the middle years Maths resources that I find most useful, hopefully because students find them authentic, relevant or just plain fun, while addressing curriculum statements.
My Most Useful Sites and Resources:
ABC Splash – high quality resources, aligned to the national curriculum.
ConCensus – This game uses data from the Australian Bureau of Statistics to allow users to make graphs and diagrams using selected postcodes and categories.
Choose Your Own Statistics – This interactive activity has ten different categories (including demographics, weekly wages and homelessness) with infographics and a tool that allows users to visualise the data.
Area of a Triangle – a cartoon interactive that assists students to learn and practice the formula for calculating the area of a triangle.
Algebra – it’s a piece of cake – a series of eight videos that explain some simple algebraic concepts using a “number crunching machine”, recipes and simple patterns.
National Library of Virtual Manipulatives – Huge range of applets across all areas and age groups. (If you have difficulty accessing these interactive animations, try a different browser, update or enable your Java).