1. Place Value
Unit 3

2. Roman Numerals
I = 1 One V = 5 Five X = 10 Ten L = 50 Fifty C = 100 One-hundred D = 500 Five-hundred M = 1000 One-thousand
Units
Tens
Hun
Thous I II
III IV

3. Answers

4. Place Value
Key Themes
Whole
Quantity
Column/exchange

5. $ 10, 609, 318
$ 3, 462, 141
$1, 323, 835
$6, 251, 514
$ 3, 047, 362
$1, 413, 395
$879, 890

6. Whole Amount
1) Number is complex involving size, manyness and numerosity
2) Brings the ordinal and cardinal aspects of numbers together

7. Quantity
3) Place value can be considered from the perspective of ordering numbers and putting them in their relative positions
Place Value ITP

8. Column
Dienes Materials

9. 4 3 5 7 8 6 Place Value Chart Ten thousands Thousands Hundreds Tens
Units 4 3 5 7 8 6

10. Key features of our place value system
Uses the digits 0-9
The column determines the value
Each column is 10 times bigger than the one preceding it

11. Independent Study Tasks
For Claire’s session
Read Thompson, I. (2003) ‘Place value: the English disease?’ in Thompson, I. Enhancing Primary Mathematics Maidenhead: OUP
Develop your understanding of ‘Quantity value’ and ‘Column Value’
Consider why children need to understand both aspects of place value
What does Thompson suggest is particularly difficult about ‘teens’ numbers?
For Clare’s session
Discuss Place Value Audit with a partner/group

12. Independent Study Task
Thompson, I. (date unknown) ‘The influence of structural aspects of the English counting word system on the teaching and learning of place value’ Available at: (E)
Kari, A. R. and Anderson, C. B. (2003) ‘Opportunities to develop place value through student dialogue’ Teaching Children Mathematics. Available at: (E)
Find the guidance paper entitled Oral Mental Work on the Learning Network. Familiarise yourself with the 6 Rs of the oral mental starter and consider its implications for learning. 
Use overview sheet of the 6 Rs and create an activity for each R and each
year group

13. Today’s schedule Lead lecture Study task & lunch HJB Gp 305 C 5 A
12.00 – 1.30
1.30 – 2.30
4.00 – 5.00
Lead lecture
Study task
&
lunch
HJB Gp C A B A B C B C A