3. Numeracy Stages and Levels -
Students’ Strategic Thinking - 8
stages
Year 0-2 Level 1 Stages Emergent -
Stage 4
Year 3-4 Level 2 Stage 5
Year 5-6 Level 3 Stage 6
Year 7-8 Level 4 Stage 7
Above year 8 Level 5 Stage 8
4. Maths at Primary School covers:
Knowledge: Place Value
Number Sequence and Order
Basic Facts
Fractions
Number and Algebra: Addition and Subtraction
Multiplication and Division
Proportions and Ratios
Strands: Statistics - Investigation and Probability
Measurement - Length, Time, Weight,
Temperature
Geometry - Position and Orientation,
Shape
5. What we will see at Level 1:
Emergent Stage: Does not know how to count objects in a collection
Stage 1: One to One Counting - they can count each
object in a
collection up to twenty - can only do
this on materials
Stage 2/3: One to One Counting, Counting All - they can
imagine the
objects in their head - mentally, but
still count all the objects from one.
9. What we will see at Level 2:
Stage 4: Advanced Counting or Counting on or back - students begin
counting
from the largest number for addition, or counting back
for
Subtraction.
Numbers to 100
Stage 5: Part Whole/Early Additive - students use strategies which
involve
Splitting numbers into parts and recombining the parts
to form new
Wholes. Ability to do this mentally.
12. What we will see at Level 3:
Stage 6: Part Whole/Advanced Additive/Early Multiplicative
- students use strategies which require more steps. All numbers are
2 or more digits. These problems may require regrouping.
Numbers to 1 000 000
14. What we will see at Level 4:
Stage 7: Advanced Multiplicative/Early Proportional
- students solve multi-digit multiplication and division problems with
whole numbers mentally
Standard written method (algorithm) taught here as one strategy
when students have an excellent understanding of place value
Numbers to 1 000 000 and decimals
16. Basic Facts
Stage 1: Instantly recognise patterns to 5
Stage 2: Know groupings within 5 and with 5
Stage 3: Know groupings within 10
Knows double to 10
Stage 4: Know teen number facts
Know addition and subtraction facts to 10
Know doubles and halves to 20
17. Basic Facts continued...
Stage 5: Know addition and subtraction facts to 10
Know multiplication & division facts for x2, x5, x10
Stage 6: Recall multiplication facts to 10x10 and some division facts
Know what happens when you multiply by 1, 0 or 10
Stage 7 and beyond: Recall all division facts to 10 x 10
Conversions - decimals to
fractions
to percentages
Factors and multiples
18. Things we do at school...
● Emphasis on knowing the value of digits in a number
● Use of a variety of materials
● Use of word problems
● Making it authentic and real for the students
● Teaching the operations - what do they actually mean - the keywords that tell
us what to do eg. altogether means equals; got 4 more means addition; took
away means subtraction
19. ● Use of ICT to reinforce concepts, including
○ Mathletics to reinforce learning in Number, Strand and Basic Facts
○ Websites, can be linked to Blogs and/or Weeblies
○ Interactive tools
○ Online instruction/tutorials/videos
○ Ability to create resources e.g. videos
○ Presentation of understanding
20. Benefits to doing Maths this way...
● Students develop a greater knowledge of number
● Students are better at estimation
● Students have strategies for solving problems with
developing complexity
● Students can choose the most effective strategy for the
problem
21. How you can
help at
home...
● Encouraging your child to do their
Mathletics
● Talking about numbers in everyday
situations
● Playing games, including board games
● Baking, cooking - measuring and fractions
● Making things - wood work
● Practising basic facts for your child’s level
