Week+13

[|Survey Test of 3rd grade computation skills] [|Survey Test Division with whole numbers]

n Administer and score the survey test: the teacher instructs the students to solve successive problems during the 2-minute timing.
=== n Display the results in a box plot, interpret the results, and plan instruction: to increase the accuracy of the results, it helps to develop an alternate form of the survey test and administer both survey probes of the same skills. ===

commutative property of addition: no matter what order the same numbers are combine in, the sum remains constant:

 * a +b = b +a 4 +5 = 5+4

· commutative property of multiplication: regardless of the order of the numbers being multiplied, the product remains constant

 * a x b = b x a ---4 x 5 = 5 x 4

· associative property of addition and multiplication: regardless of grouping arrangements, the sum or product is unchanged

 * Addition: (a+b) + c = a + (b+c) -- (4+5)+6 = 4 +(5+6)
 * Multiplication: (axb) x c = a x (bxc) (2x3) x 4 = 2 x (3x4)

· distributive property of multiplication over addition: this rule relates the two operations

 * a(b +c) = (axb) + (axc) --- 4(6+2) = (4x6) + (4x2)

· inverse operations for addition and multiplication: these axioms relate operations that are opposite in their effects. The following equations demonstrate inverse operations

 * Addition and Subtraction:
 * a + b = c--- 5 +4 = 9
 * c - a=b -- 9 -5 = 4
 * c - b = a --- 9 – 4 = 5
 * Multiplication and Division
 * a x b = c--- 2 x 3 = 6
 * c / a = b-- 6/2 = 3
 * c / b = a 6 / 3 = 2

Suggested Mastery Rates According to Specific Math Objectives