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Some key messages from the Number & Algebra PD session

 * 1) the decimal point never moves![[image:photorocky16.JPG width="419" height="252"]]
 * 2) decimals are just a subset of fractions: their denominators are powers of 10
 * 3) percentages are just subsets of decimals: their denominators are 100
 * 4) ratio can be part-part or part-whole (also called "proportion")
 * 5) develop the concept __before__ the rule
 * 6) make the point of "doing" and "undoing"
 * 7) teach backtracking first; then in parallel with balance; then balance alone
 * 8) move from additive thinking to multiplicative thinking
 * 9) move from the specific to the general
 * 10) develop the positional rule from the recursive rule
 * 11) use different orientations of number lines and tables of values (ie horizontal and vertical)
 * 12) investigate sufficient terms in a sequence to determine if a pattern exists
 * 13) input values = independent variables and output values = dependent variables
 * 14) have the students draw their number lines, area models, tables of values and Cartesian planes from scratch
 * 15) language, language, language.


 * index notation: base, index (power, exponent), radical, expand, evaluate
 * + add, and, sum of (not "plus")
 * - take away, subtract, difference (not "minus")
 * x multiplied by, lots of (not "times")
 * guess, check & improve
 * unknown, pronumeral, variable
 * substitute
 * expression & equation
 * equation, inequation & inequality