The place value framework Bernard Tola
The concept of place value Understanding the structures that underpin the four operations with number. CMIT Facilitator training 20092
The concept of place value The basis of all work on: decimals, the metric system, money, standard units of length, area and volume, conversions between units of measurement. CMIT Facilitator training 20093
Ten as a count (PV0) Ten is a numerical unit constructed out of ten ones. The student may know the sequence of multiples of ten. The student must be able to ‘count on’ to be at this level. NS1.2 CMIT Facilitator training 20094
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Adding with a model Play in groups of 4. Each group has a model of a two-digit number and a pack of cards. Players take turns to draw two cards, make a two-digit number and add this number to the number represented by the model. CMIT Facilitator training 20096
Ten as a unit (PV1) Ten is an abstract composite, seen as either ‘one ten’ or ‘ten ones’, as needed The student can increment by tens and ones from the middle of a decade with only one representation available. NS1.2 CMIT Facilitator training 20097
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Addition challenge 4 players, cards Ace to 9. Each player turns over two cards and makes a two-digit number which can no longer be changed. Players draw two more cards in turn, make a two-digit number and add it to the first. The winner is the player with the largest total smaller than 100. CMIT Facilitator training 20099
Tens and ones (PV2) Students use place value to solve two-digit addition and subtraction mentally Two important methods: –Jump method –Split method –NS2.2 CMIT Facilitator training
CMIT Facilitator training
One Thousand or Bust Each player has a recording sheet One player rolls the die. All players must place that number in one space on the recording sheet When two three-digit numbers have been made, each player subtracts them mentally The player with the largest number wins. CMIT Facilitator training
Hundreds, tens and ones (PV3) Students can add and subtract three-digit numbers mentally. Students use place value to partition three-digit numbers flexibly. Important methods: jump, split. NS2.2 CMIT Facilitator training
Decimal place value (PV4) The student represents fractional parts with an understanding of the positional value of decimals. The student has a multi-unit sense of decimals. NS2.4 CMIT Facilitator training
CMIT Facilitator training
CMIT Facilitator training
System place value (PV5) The place value system can be extended indefinitely to the left and right of the decimal point. The student can explain what happens when a number is multiplied or divided by a given power of ten. NS3.2, NS3.4 CMIT Facilitator training
CMIT Facilitator training
CMIT Facilitator training
CMIT Facilitator training
CMIT Facilitator training