Download Knowledge Individual Assessment Sheet

_________Knowledge Stages:
Name
Forward Number Word Sequence (without dropping back)
Start counting from one. I will tell you when to stop. (stop at 32)
What’s the next number after?
5
9
13
19
12
29
46
69
80
99
139
209
899
2400
3049
603 000
989 999
Date each stage as it is achieved.
Stage 0
15
Backward Number Word Sequence
(without dropping back)
Count backwards from 10. I will tell you when to stop. (stop at 0 or 1)
Count backwards from 24. I will tell you when to stop. (stop at 11)
What number comes before?
3
9
5
8
16
20
17
11
13
31
47
70
236
840
2400
3049
603 000
989 999
Numeral Identification What is this number?
3
9
5
1
8
6
0
13
19
11
16
12
66
43
Does not say
FNWS up to 10.
Stage 1
Stage 2
Stage 3
Says FNWS up to
10
Says FNWS up to
10 and number
after.
Says FNWS up to
20 and number
after.
Stage 0
Does not say
BNWS up to 10.
2
38
7
137
Stage 5
Stage 6
Says number after
up to 1 000.
Says number after
up to 1 000 000.
Stage 1
Stage 2
Stage 3
Stage 4
Says BNWS back
from 10
Says BNWS back
from 10 and
number before.
Says BNWS back
from 20 and
number before.
Says number
before up to 100.
Stage 5
Stage 6
Says number
before up to 1 000
Says numberbefore
up to 1 000 000
680
Stage 0
4
80
Stage 4
Says number after
up to 100.
10
702
Place Value
Tell me the answer to…
Here are 4 dots. Here are ten more dots. How many dots are there now. 14,24,34,44,54
A toy costs $80. How many $10 notes do you need to pay for it?
A radio costs $230. How many $10 notes do you need to pay for it?
What number is the arrow pointing to? How do you know?
You have $26 700 in $100 notes. How many notes do you have?
What number is three tenths more than 4.8? How do you know?
How many tenths are in all this number? 4.67
Put these decimals (0.39, 0.478, 0.8) in order from smallest to largest.
How many hundredths are in all of this number? 2.097
Round 7.649 to the nearest tenth.
Give three numbers between 7.59 and 7.6. If you had time how many numbers could
you find?
Name 137.5 % as a decimal
Basic Facts
Tell me the answer to…
2+3
5+4
6+ makes 10
6+6
9+9
10+4
7+10
8+6
6+9
8x5
5x7
17-9
15-6
6x7
8x4
567
639
Name all the factors of 81
What is the highest common factor of 72 and 81?
What is the least common multiple of 8 and 12?
Knowledge Questions from Numeracy Project Assessment (NumPA) Forms A, B & C
Stage 1
Emergent numeral Iden.
Identifies numerals to 10
Stage 0-1
Stage 3
Stage 4
Cannot count the
number of objects.
Uses 5 as a
counting unit e.g.,
5, 10, 15.
Student uses 10 as
a counting unit
Stage 2
Identifies numerals to 20
Stage 5
Knows tens in
numbers to 1 000
Uses tenths as a
counting unit.
Stage 2
Stage 3
Identifies numerals to 100
Stage 4
Identifies numerals to 1 000
Stage 6
Stage 7
Stage 8
Knows hundreds in
numbers to
100 000
Recognises that
ten tenths make
one
Knows tenths in,
numbers with two
decimal places.
Orders decimals to
three places
Know, hundredths
in decimals and
rounds numbers to
nearest tenth.
Identify decimals
between others
and name a
percentage as a
decimal and vice
versa.
Counts the objects
by one.
Stage 0-1
Does not recall
facts to 5
Stage 2
Recalls facts to 5
Stage 3
Recalls facts to 10
Stage 4
Stage 5
Recalls doubles
and teen facts to
20
Recalls addition
basic facts and
multiplication
facts for 2, 5, 10
Stage 6
Recalls
subtraction and
multiplication
basic facts.
Stage 7
Recalls division
facts and names
all factors of
numbers to 100.
Stage 8
Can name common
factors of two
numbers to 100
and least common
multiple of
numbers to 10.
Strategy Stages: Individual Assessment Sheet.
Name
Addition and Subtraction
Please get 8 counters for me (Unable to count. Stage 0 )
Work out 4 + 3 on materials (Unable to join sets. Stage 1) (Joins using materials. Stage 2)
Date each stage as it is achieved. Comment where necessary.
Stage 0
Stage 1
Stage 2
Stage 3
Stage 4
EmergentDoes not count up
to 10 objects.
Counts one to one.
Counts from One
on Materials.
Counts from One
by Imaging.
Advanced CountingCounts on
(Yes using imaging move on to task 3)
Find 8 + 5 = (No. Stage 3) (Yes by counting on or part-whole move on to task 4)
Find 9 + 8 = ((Yes by counting on. Stage 4) (Yes by part-whole strategy move on to task 5)
Find 37 – 9 = (No, or Yes, by counting back. Stage 5) (Yes by part-whole strategy move on to task 6)
Find 53 – 26 = (No. Stage 5) (Yes by part-whole strategy move on to task 7)
Find 394 + 79 = (Regardless of answer, proceed to task 8)
Find $403 – $97 = (If student solves 2 or 3 of tasks 6 - 8 correctly using different part-whole strategies
rate at Stage 6. Otherwise rate at Stage 5)
Multiplication and Division
Here is a forest of trees. (Cover as described) How many trees in the forest altogether.
(Uncover if unable to solve) If I planted 15 more trees how many rows of 5 would I have?
Stage 2-3
Counts from One
Counts all the objects
Stage 4
Advanced Counting
Uses skip-counting
(Yes by counting all objects. Stage 2-3) (Yes by skip counting. Stage 4)
(Yes by forming the factors where they have a known multiplication fact or by using repeated addition. For
example, for 5 x 8: 5+5=10, 10+10+10+10=40. Move onto questions 2 and 3)
Stage 5
Early Additive
Part-Whole
Derives
addition and
subtraction
facts
Stage 5
Stage 6
Early Additive Part-Whole
Forms factors, uses known
multiplication facts and
repeated addition.
Advanced Additive
Part-Whole
Derives multiplication facts.
Stage 6
Advanced Additive
Part-Whole.
Uses at least two
different advanced
mental strategies.
Stage 7
Advanced Multiplicative
Part-Whole
Uses at least two different
advanced mental strategies.
What is 3 x 20? If 3 x 20 = 60, what does 3 x 18 equal?
What is 5 x 8? If 5 x 8 = 40, what does 3 x 16 equal?
(No. Rate at Stage 4 or 5) (Yes by solving multiplication problems by deriving from known multiplication
facts, for example, 3x20 = 60 so 3x18 = 60 – (3x2)=54. Move to Question 4)
There are 24 muffins in each basket. How many muffins?
At the car factory they need 4 wheels for each car. How many cars could they
make with 72 wheels? Does the student use:
(place value partitioning 6x20=120, 6x4=24, 120+24=144 or 40 4=10, 72-40=32, 324=8,10+8=18
(tidy numbers 6x25=150,150-6=144 or 804=20 so 724=20-(84)=18)
(proportional reasoning and reversing 9x8=72 so 18x4=72 (doubling and halving)so 72 4=18(reversing)
(No the student does not solve 4 or 5 correctly using at least 2 different advanced strategies. Rate at Stage 6.
(Yes the student solves 4 or 5 correctly using at least 2 different advanced strategies. Rate at Stage 7.
Proportions and Ratios
Which of these cakes has been cut into thirds? (Indicate if unsure). Here are 12 jelly
beans to spread out evenly on top of cake. You eat one third of the cake. How
many jellies do you eat? (Unequal sharing. Stage 1) (Equal sharing physically/imaging. Stage 2-4)
What is ¾ of 28? (Yes with addition facts, e.g. 1/3 of 12 as 4+4+4. Stage 5)
(Yes using a combination of addition and multiplication facts, e.g. ¾ of 28 as ¼ of 20 is 5 so ¼ of 24 is 6 so ¼
of 28 is 7, or 1 /2 of 28 is 14, ½ of 14 is 7, 14 + 7 = 21. Stage 6)
12 is 2/3 of a number. What is the number? (No. Rate at Stage 5 or 6 based on above response.
(Yes using multiplication and division. Rate at Stage 7 at least. Proceed on)
It takes 10 balls of wool to make 15 beanies. How many to make 6 beanies?
There are 21 boys and 14 girls in Ana’s class What % are boys? Does the student use:
(Part-whole based on equivalent fractions such as finding relationships between different units, for example,
10 15 so 11.5 so 46 (unit fractions) or 6 x 2 ½ =15 so  x2 ½=10 or 217=3, 147=2 common factor
or finding relationships within the same units, e.g. 35x3=105 s0 21x3=63 and adjust 63 down to 60%.
(Yes the student uses part-whole strategies successfully for both questions. Rate at Stage 8)
Stage 1
Unequal Sharing
Unequally shares
objects.
Stage 2-4
Equal Sharing
Shares objects
physically or by
imaging
Stage 5
Stage 6
Stage 7
Early Additive
Part-Whole
Uses addition facts
Advanced Additive
Part-Whole
Uses addition,
multiplication and
division facts.
Advanced
Multiplicative
Part-Whole
Finds fractions of
numbers using
multiplication and
division
Stage 8
Advanced Proportional
Part-Whole
Uses at least two
different advanced
mental strategies.