Week 3

Question 1

what is
Face value ?
Place value?
Value?

Answer 1

Face value – Just the number e.g. 4, 3, 2, 1.
Place value – Where it is positioned, e.g. tens, hundreds, thousands, millions.
Value – How much it is worth e.g. 5000, two thousand, 3 million etc.

Question 2

Explain how you would use a numeral expander to demonstrate the relationship between the place values of digits in the number 3 214?

( go over notes)

Answer 2

• A numeral expander is a long strip of paper that is folded and can be unfolded to show the place value of a number – units, tens, hundreds, thousands.
• A numeral expander shows the positions in which the numbers are located (e.g. in the units column, tens, hundreds etc.)
• Shows various ways a number can be renamed, e.g. in 3214 there are 32 hundreds and 14 ones etc.
  When expanded, students can understand how many of each unit there is.

Question 3

Describe two other activities you would use to develop an understanding of place value

Answer 3

Activity 1 – ‘Wipe Out’

Materials:

• 1 calculator
• 2 players (P1-Player one, P2- Player 2)

How to play:

• Enter any five or six digit number into the calculator e.g. 23 458.
• P1 asks P2 to subtract a number on the calculator that will leave a zero in the Thousand’s column. 


• P2 asks P1 to subtract a number that will leave a 1 in the Hundred’s column & then read that number aloud.
• P1 asks P2 to ‘wipe out’ the number in the Ten’s column to leave a zero & then read that number aloud.
• P2 asks P1 to ‘wipe out’ the number in the Unit’s column so that it is replaced by zero & then read that number aloud.
• Players continue this until the calculator shows zero.

Activity 2
Activity one – ‘Race to 100’

Materials:

• Dice
• Base 10 materials - flats, longs, shorts, units.
• Place value Chart
• 2 players (P1-Player one, P2- Player 2)
• Can be played in groups

How to Play:

• P1 rolls the dice twice and add the numbers together (3 + 6 = 9).
• P1 is then required to group 9 units together using the base 10 materials.
• P2 rolls the dice twice and add the numbers together (4 + 2 = 6).
• P1 is then required to group 6 units together using the base 10 materials.
• P1 and P2 alternate turns until one of them reaches 100 units. Students are to swap base ten materials accordingly (10units = 1long, 10long = 1flat etc.)