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Transcript
Transition: Counting from One on Materials to by Imaging
Achievement Mathematical Processes: Level One
Problem Solving:
Objectives
Use equipment appropriately when exploring mathematical ideas.
Logic and Reasoning:
Classify objects.
Communicating Mathematical Ideas:
Devise and follow a set of instructions to carry out a mathematical
activity.
Record and talk about the results of mathematical exploration.
Domain:Addition and Subtraction
E
Number and Algebra: Level One
Make up, tell, and record number stories, up to 9, about given
objects and sequence pictures.
Form a set of up to 20 objects.
Read and write any two-digit whole number.
Rote count to at least 50.
Make sensible estimates and check the reasonableness of answers.
Model and explain addition calculations with a sum of up to 20.
Using up to 20 objects, model and explain subtraction calculations.
Problem
progression
References
Knowledge being
developed
Resources
Solve one step result
addition (joining) problems,
with answers up to 20, by
counting all the objects in
their head (by imaging)..
4 + 3 = †, 5 + 2 = †,
6 + 1 = †, 8 + 4 = †,
2 + 6 = †, 3 + 7 = †,
8 + 5 = †, 16 + 2 = †.
Teaching Addition, Subtraction,
and Place Value (Book 5)
Using one hand (12)
Using tens frames (13)
Both hands (13)
Imaging with tens frames (14)
Imaging many hands (15)
Crossing the five barrier (16)
Identify numbers in the
range 0–20, at least.
BSM
2-1-5, 6-1-7, 6-1-9, 6-3-2, 6-33, 6-3-4, 6-3-5, 6-3-6, 6-3-7,
6-3-22, 6-3-43, 6-3-44, 6-3-45,
6-3-46, 6-3-49, 6-3-50, 6-3-81,
6-3-83, 7-1-1, 7-1-2, 7-1-41,
7-1-42, 7-1-43, 7-3-4, 7-3-9,
7-3-45, 7-4-46,
8-1-4, 8-1-43, 8-1-44, 8-1-53,
11-1-6, 11-1-47, 11-1-82
© 2006 Crown Copyright
Numeracy Development Projects
AC
EA
AA
AM
Strategies being
developed
BSM
6-1-9, 6-1-46, 6-1-47, 6-1-81, 6-1-82,
6-3-7, 6-3-8, 6-3-49, 6-3-82, 6-3-84, 7-16, 7-1-52, 7-1-53, 7-1-84,
7-1-85, 7-3-4, 7-3-7, 7-3-50, 7-3-51, 7-352, 7-3-82, 8-1-5, 8-1-9,
8-1-51, 8-1-52, 8-1-83, 8-1-84,
8-3-7, 8-3-9, 8-3-50, 8-3-51,
10-1-3, 10-1-42, 10-1-82, 11-1-10, 11-111, 11-1-54, 11-1-55, 11-1-56, 11-1-85
CA
AP
1
Strategies being
developed
Problem progression
References
Knowledge being
developed
Solve one-step subtraction
(take away) problems, with
the starting numbers up to
20, by counting all the objects
in their head (by imaging)..
5 - 3 = †, 6 - 2 = †,
8 - 4 = †, 10 - 3 = †,
12 - 5 = †, 15 - 3 = †,
18 - 4 = †, 13 - 4 = †.
Teaching Addition, Subtraction, and
Place Value (Book 5)
Using one hand (12)
Using tens frames (13)
Both hands (13)
Imaging with tens frames (14)
What’s hidden (15)
Imaging many hands (15)
Crossing the five barrier (16)
Say the forwards and
backwards number
word sequences in the
range 0–20, at least.
Resources
E
CA
AC
EA
AA
BSM
8-1-10, 8-1-53, 8-1-85, 8-3-8, 8-3-9, 9-1-14,
9-1-15, 9-1-16, 9-1-55, 9-1-56, 10-1-2,
10-1-41, 10-1-81
Solve addition and
subtraction problems with
decade numbers by counting
tens in their heads.
2 + 2 = † so 20 + 20 = †,
5 + 5 = † so 50 + 50 = †,
3 + 4 = † so 30 + 40 = †,
5 – 3 = † so 50 – 30 = †,
10 – 5 = † so 100 – 50 = †,
8 – 4 = † so 80 – 40 = †
Teaching Addition, Subtraction, and
Place Value (Book 5)
Ten sweets per packet (17)
AM
Order numbers in the
range 0–20, at least.
BSM
7-1-4, 7-1-5, 7-1-46, 7-1-48,
7-1-81, 7-1-82, 7-3-3, 7-3-44,
8-1-6, 8-3-3, 8-3-4, 8-3-5, 8-344, 8-3-45, 8-3-46
Instantly recognise
patterns to ten (doubles
and five based),
including finger and tens
frame patterns.
BSM
7-1-49, 7-1-50, 7-1-51, 7-1-83,
8-1-5, 8-1-7, 8-1-46, 8-1-47,
8-1-48, 8-1-49, 8-1-82, 9-1-6,
9-1-12, 9-1-13, 9-1-43, 9-1-44,
9-1-50, 9-1-51, 9-1-52, 9-1-53,
9-1-54, 9-1-85, 9-1-86
Recall facts within five
and doubles to ten.
© 2006 Crown Copyright
Numeracy Development Projects
2
AP