Retired Fielding High teacher, Noel Johnston, took us through some of the basics expected for year 9,10 students.
prime triangula square numbers as basic facts
concept of factors and multiples
greek names for polygones.
Multiples How many dates in a year are a multiple eg 6th june, 12, june 18 June?
what if the day was a factor of the month? eg 2nd june 2:6
1 Jan 1:1
2 feb 1:2 2:2 2
2 march 1:3 3:3 2
3 ap 1:4 2:4 4:4
2 may 1:5 5:5
4 June 1:6 2:6 3:6 6:6
natural number 1, 2, 3... (5)
the fifth prime 1,3,5,7,(11)
the fifth odd 1,3,5,7,(9)
the fifth square 1,4,9,16, (25)
the fifth triangular 1, 3, 6, 10, (15)
the fifth fibonachi
numerical order for 5squared, 2to the power of 5, 2x5, 5+2
Kiwi code and Mosaic from woman's weekly. These can be modified to make a great task.
New Scientist has a column called enigma. This has math problems for us.
knowledge of 2+3+4+5+6+7 = 27 this is 3 cubed. A series of boards in this series would therfore make a cube.
Cunning Combination codes. Ivan Moscovich. Wonders of Numbers Clifford Pickover. Martin Gardener The Last Recreations Good books with mathematical problems. Ian Stuart. Hoard of Mathematical Treasures.
See pic for square with 1,2,3,4 in corners or Bulgarian Solitare tricky but look for patterns.
Rectangling a square. Form 5 rectangles 1,2,3,4,5,6,7,8,9,10 with each Then assemble without overlaps to form an 11 x 11 square. (121)
When designing questions they must be moderated to check accuracy and if there is a variety of answers.
Australian Math Challenge booklets give you good examples of materials to text you children's knowledge.
Otago problem solving.
Quick fire Guess the answer and go and see f you are right.
Practicals 4:5 questions in 15-20 mins. Questions will be a redesign of familiar questions. The aim is to make a question that children have not seen before.
Make sure I keep checking the MMTA wiki