Comber P6 Place Value08/09/2014

We hope to:

Show requirements/expectations P6 regarding Place Value

Introduce the key concepts

Introduce some activities

Signpost resources to use at home

Requirements at P6

• read, write and order whole numbers within 10000;

• use knowledge of place value to multiplyand divide whole numbers by 10 and 100;

• understand place value to two decimal places;

• approximate within 10 000 to the nearest10, 100 and 1000;

• estimate answers to calculations andapproximate by rounding

• read, write and order whole numbers of anysize;

• use knowledge of place value to multiplyand divide numbers by 10, 100 and 1000;

• understand place value to three decimal places;

• round decimals to the nearest whole number;

Level 4

Level 5

What is Place Value?

In our decimal number system, the value of a digit depends on its place, or position, in the number. Each place has a value of 10 times the place to its right.

A number in standard form is separated into groups of three digits using commas. Each of these groups is called a period.

What can we use to teach it?

Problems in Teaching Place Value

The construction of the English number words from 1 to 60 is a mixture of strange rules which often cause confusion for children.

Correcting these initial place value problems is a language issue not a mathematical one.

The “ty” and the “teen” words need to be unpacked for children.

Children need to make connections between the numeral symbols, the way they are read, and their representations in materials.

For example the number 65: See ‘65’ Say in one way: sixty-five Say in the other way: six tens and five ones Do show 6 bundles and 5 loose sticks Do 65 singles sticks

Give children experiences at connecting these 3 forms. For example: Twenty + 31 =

58 + 4 tens =

Seventy two + 14 =

Key Place Value Concepts to Develop:

The fundamental place value issue is that ten units must be interchanged for one new unit. The zero place holder idea is significant but not the main problem.

Students need experiences initially making groups of tens by bundling and unbundling ten ones for one ten.

It is important that students know how to write a numeral; how to say the numeral in two ways; as well as how to model in two ways both as singletons and objects grouped as tens and ones

Place Value Dice Game

Place Your Values:

Roll a 0-9 dice. Make the number using the counters. Roll the dice again. Add this total to the previous using the

counters - remember the “canon of place value” Once you’ve reached a three digit number, STOP.

PLACE VALUE

Partner Work Use all the number cards below to

make the largest possible number:

7 1 96 3

7 1 9

H T U

9 7 1

ThTensTh

6 3

36

Learning Objective To know that each

digit in a number represents a

different place value

Success Criteria

I can identify the place value of a

digit in a number

Place Value Whole numbers are made up of units, tens, hundreds, thousands

and so on.

In the number 6325: The digit 6 means six thousands The digit 3 means three hundreds The digit 2 means two tens The digit 5 means five units

In words, we write this as six thousand, three hundred and twenty-five.

THOUSANDS

HUNDREDS TENS UNITS

6 3 2 5

Place Value

In the number 2491: The digit 2 means two thousands The digit 4 means four hundreds The digit 9 means nine tens The digit 1 means one unit

In words, we write this as

two thousand, four hundred and ninety-one

THOUSANDS

HUNDREDS TENS UNITS

Place Value of Zero

In the number 6507: The digit 6 means six thousands

The digit 5 means five hundreds

The digit 0 means nothing!

The digit 7 means seven units

In words, we write this as

six thousand, five hundred and seven

THOUSANDS

HUNDREDS TENS UNITS

6 5 0 7

Place Value

In the number 21943: The digit 2 means two ten-thousands

The digit 1 means one thousand

The digit 9 means nine hundreds

The digit 4 means four tens

The digit 3 means three units

In words, we write this as

Twenty-one thousand, nine hundred and forty-three

TENTHOUSAND

S

THOUSANDS

HUNDREDS TENS UNITS

94,634

What’s the place value of the digit 9?

What digit goes in the Thousands column?

94,634 = + + + +

How do we write this number in words?

Tens Thousands

THOUSANDS HUNDREDS TENS UNITS

9 4 6 3 4

What number is 100 more than:

472879321743What number is 1000 more than:

867534612221853

What’s the place valueof the underlined digit?

• 48• 90• 264• 902• 7328• 5039• 86452

Independent WorkRemember to write and underline:

today’s short date (04.09.12)

today’s heading (Place Value)

The groups are…

If you finish…move on to the challenge!

What’s the value of the underlined digit?

45,936 FIVE THOUSANDS 129,417 TWO TEN-THOUSANDS 506,200 FIVE HUNDRED-THOUSANDS 1,286,982 ONE MILLION

Put these numbers in descending order:

6925 6295 6592 5692

Links to games –

http://www.ictgames.com/arrowcards.html

http://www.crickweb.co.uk/ks2numeracy-properties-and-ordering.html

http://www.mrnussbaum.com/placevaluepirates1.htm

http://www.bgfl.org/bgfl/custom/resources_ftp/client_ftp/ks2/maths/bead/index.htm

http://www.bbc.co.uk/bitesize/ks2/maths/number/place_value_headings/play