Since 2002, 4 million visitors plus:
hit counters
search engine optimization service

  Appletcollection Vertical Menu java applet, Copyright 2003 GD

 Purely Amateur Attempt at Comparing the WIAT-III and WJ III Math Tests

Sequence of Math Development adapted from Smith, C. R. (1994), Learning Disabilities: The interaction of learner, task, and setting (Fourth Edition). New York: Allyn & Bacon

 

Tables Comparing the WIAT-II Math Reasoning Test Items to the WJ III Applied Problems Test Items

 

TASK

WIAT

WJ III

Middle School

masters order of operations in complex problems

 

 

multiplies / divides two fractions

 

 

adds subtracts, multiplies divides decimals to the thousands

 

 

understands real, rational, irrational numbers and different number bases

 

 

calculates square and cube roots

 

 

estimates percentages / proportions

 

50

calculates discount, sales tax, restaurant tip

 

 

understands simple interest, compound interest, percent increase/decrease

 

52, 57

understands angles (complementary, supplementary, adjacent, straight, congruent)

 

 

calculates volume of a cylinder

 

 

calculates arc / circumference of circle

 

58, 61, 62, 63

understands eqilatera1, isosceles, scalene, obtuse figures

 

 

graphs coordinates, transformations, rotations, equations with two variables

 

59

solves equations by substitution

 

 

learns about probability, permutations, factorial notation, frequency, normal curve,

66, 67

60

learns Pythagorean theorem

 

56

deepens understanding of previously taught skills and concepts

65

55

 

TASK

WIAT

WJ III

Fifth Grade

multiplies three digit numbers (962 x 334)

 

 

can work harder division problems (102 + 32)

 

45

adds, subtracts, multiplies mixed numbers

 

 

divides a whole number by a fraction

 

47

represents fractions as decimals, ratios, percents

 

 

adds, subtracts, multiplies, with decimals

 

 

understands use of equations, formulas, "working backward"

58, 59

 

estimates products/quotients

 

 

learn about exponents, greatest common factor, bases, factors, composite numbers, integers

 

 

understands percent, ratios

60, 61

49

understands mean, median, mode

64

 

measures area and circumference of a circle

 

 

measures perimeter and areas of triangles and parallelograms, volume of cube

62

41, 51, 53, 54

performs metric conversions

 

 

uses compass, protractor

 

 

reads scale drawings

 

 

 

TASK

WIAT

WJ III

Fourth Grade

adds columns of 3 or more numbers

 

 

multiplies three digit by two digit numbers ( 348 x 34 )

 

 

performs simple division ( 44/22 )

54

 

reduces fractions to lowest terms

 

 

adds/subtracts fractions with different denominators ( 3/4 + 2/3 )

55

42

adds/subtracts decimals

 

 

converts decimals to percents

53, 57

43

counts/makes change for up to $20.00

63

 

estimates time

 

46

can measure time in hours, minutes, seconds

52

44

understands acute, obtuse, right angles

 

 

computes area of rectangles

 

 

identifies parallel, perpendicular, intersecting lines

 

 

calculates weight in tons, length in meters, volume in cubic centimeters

 

48

Solves simple probability problems

56

 

 

TASK

WIAT

WJ III

Third Grade

understands place value to thousands

32

 

adds and subtracts four digit numbers (e.g., 1,017- 978)

 

 

learns multiplication facts to 9 x 9

50

34

solves simple multiplication and division problems ( 642 x or 2 )

 

37, 40

reads complex charts and tables

42

 

counts by 4s, 1000s

 

 

geometry (identifies hexagon, pentagon)

 

 

introduction to fractions adds / estimates / orders simple fractions

43, 46, 47

39

understands mixed numbers

 

39

reads fractions of an inch

45, 51

 

understands diameter, radius, volume, area

41

 

understands decimals

 

 

begins to learn about negative numbers, probability, percentage, ratio 

34

 

solves harder number story problems

48, 49

40

 

TASK

WIAT

WJ III

Second Grade

identifies / writes numbers to 999

 

 

adds / subtracts two / three digits with & without regrouping (e.g., 223 + 88, 124 -16)

 

 

multiplies by 2, 3, 4, 5

38, 39

31

counts by 3s, 100s

37

 

reads / writes Roman  numerals to XII

 

 

counts money and makes change up to $10.00

35, 44

32, 33, 36

recognizes days of the week, months, and seasons of the year on a calendar

33

 

tells time to five minutes on a clock with hands

22, 28

 

learns basic measurements (inch, foot, pint, pound)

 

38

recognizes equivalents ( e.g., two quarters = one half, four quarts = one gallon)

30

 

divides area into 2/3, 3/4, 10ths

 

 

graphs simple data

36

 

 

TASK

WIAT

WJ III

First Grade

counts / reads / writes /orders numbers to 99

19

 

begins learning addition and subtraction facts to 20

 

 

performs simple addition/subtraction problems (e.g., 23 + 11)

26, 31

27, 28, 29, 30

understands multiplication as repeated addition

 

 

counts by 2s, 5s and 10s

23

 

identifies odd / even numbers

 

 

estimates answers

 

 

understands 1/2, 1/3, 1/4

29, 40

 

gains elementary knowledge of calendar and time

21

 

understands schedules

 

 

reads digital clock

 

 

understands measurement (cup, pint, etc., inch, cm, etc. ) and money (value of quarter, etc.)

16, 20, 27

26, 27, 29

solves simple number story problems

 

 

reads bar graphs and charts.

24, 25

 

 

TASK

WIAT

WJ III

Kindergarten

matches / sorts / names objects by size, color and shape

3, 5

1, 2, 7, 8, 11, 12

recites and recognizes numbers 1-20

12

 

one-to-one correspondence

 

 

counts / adds up to nine objects

1, 8, 10

3, 4, 5, 6, 13

knows addition / subtraction facts to six

9, 11, 13

9, 10, 16, 17, 18, 20

evaluates objects by quantity, dimensions, size (e.g., more/less, longer/shorter, tall/tallest)

2, 3, 4, 17

 

writes numbers 1-10

 

 

understands concepts of addition and subtraction

9, 11, 13

14, 15, 18, 17, 20, 22, 23

knows symbols +, -, =

 

 

recognizes whole vs half

 

 

understands ordinals (first, 5th)

14, 15

 

learns beginning concepts of weight, time ( e.g., before/after)

 

 

understands lunch is at 12:00

 

 

tells time to the hour

 

 

money (knows value of pennies, nickels, dimes), and temperature (hotter/colder)

 

19, 21

aware of locations ( e.g., above/below, left/right, nearest/farthest)

 

24, 25

interprets simple maps, graphs and tallies.

6, 7