Tuesday, February 1, 2011

MrDA13's Maths Techniques - Did You Catch 'Em All?

General Methods


- Linking Method (needs fraction simplifying skill)

- Grouping Method

- Region Method

- Number Bonds



1. Area and Perimeter

a. Perimeter

- Outlining (so as not to forget which line has been included in calc)

b. Area

- Region Method
- Grouping Method
- finding area of 'Rugby' ball


2. Angles

- Label angles inside of figure
- shade angle ( to focus on angle to find)
- indicate parallel lines for Trapezium and Parallelogram( 'C', Z' and 'E/F' shape)
- indicate equal lines (to reveal isosceles and equilateral triangles)


3. Number Patterns

- Column Method
- Square (eg 1,4,9,...) and Cube numbers (eg 1, 8, 27,...)



4. Algebra

- Mini statements
- rearranging algebra and numbers with their respective signs


5. Speed

- Timeline drawing
- Common Time t and
- Common Distance d


6. Volume

Volume = Base Area X height (special formula)
Tap Qns - 2 taps flowing with x and y volume per minute. Find combine volume per minute 1st.


7. Tesselation

- Look for the order;- Unit shape must follow the order of the figure

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Legendary 7


1. Before-After

   ii. Before-After-After
   iii. 2 Scenario

2. Shortcut Unit (when cutting-up the model becomes too tedious; beyond 10 cuts)

3. Clone ( to make the link)

4. 1%-1u (extension of shortcut unit; when percentage cannot be converted to 'convenient' fraction eg 20% to 1/5 but instead 33%)


5. X-Box (when 2 links are needed for two different bases)

   ii. Dot Box and Beyond


6. Modified Model

7. Number X Value

   ii. 2 Scenario-Same total
   iii. White Box x X-Box = Dot Box (when we don't know the Number and the Value)
   iv. Guess and Check

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