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Archive for June, 2012

Should I be doing Mathematics homework?

June7

A recent study suggests: (a) that short practice assignments do improve performance on class tests and (b) that teachers also use homework assignments to accomplish other learning-related objectives. For junior high school students, the positive association with achievement appears for even the most minimal amount of time spent on homework, but disappears after about 90 minutes of homework […]

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Transit of Genius

June6

Our brief introduction to Set Theory (aka Transit of Venus, etc.) leads nicely to a brief discussion of Boolean Algebra. Boolean Algebra, or the algebra of logic, was devised by the English mathematician George Boole (1815-64), and embodies the first successful application of algebraic methods to logic. Boole recognized that the algebraic laws he proposed are […]

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Sun ∩ Venus – Nature’s Venn Diagram

June6
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Why Use Venn Diagrams?

June5

Venn Diagrams are pictorial ways of representing interactions among sets to display information that can be read easily. Each set of given information is designated a circle.  Interactions between the sets are shown in the circles’ intersections; items common to both sets are found in the intersection whereas other items are found outside the intersection. […]

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Really Easy Online Tool for making Pictograms

June5

Here is a cool little website for showing students how to create simple Pictograms (Pictographs – or, simply bar graphs with pictures). What I really like about it is that it allows students to use a picture to represent scale (e.g. 1 sheep in the graph = 100 in the data). It also allows sorting […]

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Googling Data…

June5

From “How Google Works“:

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Cool Maths Tool in Google Earth

June5

Explore the elevations of a particular path through the Elevation Profile in Google Earth. To start, either draw a path or open an existing one. Once you’ve chosen a path from the Places panel, there are two ways to see its Elevation profile. Either go to Edit > Show Elevation Profile, or right-click on your path from the Places panel […]

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More fun – Volume of a Pizza

June3
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The Ministry of Silly Walks

June2

We have been posting about directions which brings us to a rather different idea. John Cleese (see his website here) was hilarious in the Monty Python’s “Ministry of Silly Walks” (click on image to link to the video at YouTube) but, to the young growing mathematician, such fun has a more serious site. The diagram […]

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One Direction?

June2

The header image of the canoe poses an interesting question – which direction is it going in? See Diary for discussion and answer.

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10 x 9 x 8 + (7 + 6) x 5 x 4 x (3 + 2) x 1 = 2020

NCEA Level 2 Algebra Problem. Using the information given, the shaded area = 9, that is:
y(y-8) = 9 –> y.y – 8y – 9 =0
–> (y-9)(y+1) = 0, therefore y = 9 (can’t have a distance of – 1 for the other solution for y)
Using the top and bottom of the rectangle,
x = (y-8)(y+2) = (9-8)(9+2) = 11
but, the left side = (x-4) = 11-4 = 7, but rhs = y+? = 9+?, which is greater than the value of the opp. side??
[I think that the left had side was a mistake and should have read (x+4)?]

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