Teaching Plan Powerpoint
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100 = 1 hundred
100 = 10 tens
hundreds
1
tens
ones
0
0
100 = 100 ones
Place Value 15
Investigation:
1.
2.
3.
4.
5.
6.
Sit with a friend.
Have a 100 small 10 frame, for example,
Record a place value chart with ones, tens and hundreds.
How many hundreds do you see?
How many tens do you see?
How many ones do you see?
Reflection: How can we see 100 as 1 hundred and as 10 tens and as 100 ones?
Problem Solving
Fred had a packet of 100 lollies.
Gina had 100 individual lollies.
Did they have the same number of lollies?
Place Value 15
hundreds
tens
124 = 1 hundred and 2 tens and 4 ones
1
2
ones
4
Place Value 15
hundreds
124 = 1 hundred and 2 tens and 4 ones
124 = 12 tens and 4 ones
1
tens
2
ones
4
Place Value 15
hundreds
124 = 1 hundred and 2 tens and 4 ones
124 = 12 tens and 4 ones
124 = 124 ones
1
tens
2
ones
4
Place Value 15
124 = 1 hundred and 2 tens and 4 ones
124 = 12 tens and 4 ones
124 = 124 ones
124 = 1 hundred and 24 ones
hundreds
1
tens
2
ones
4
Place Value 15
hundreds
124 = 1 hundred and 2 tens and 4 ones
124 = 12 tens and 4 ones
124 = 124 ones
124 = 1 hundred and 24 ones
124 = 6 tens and 64 ones
1
tens
2
ones
4
Place Value 15
hundreds
1
tens
2
ones
4
Place Value 15
hundreds
1
tens
ones
2
4
Place Value 15
124 = 1 hundred + 2
tens + 4 ones
hundreds
1
tens
ones
2
4
Place Value 15
124 = 1 hundred + 2
tens + 4 ones
hundreds
1
tens
ones
2
4
124 = 12 tens + 4 ones
Place Value 15
124 = 1 hundred + 2
tens + 4 ones
hundreds
1
tens
ones
2
4
124 = 12 tens + 4 ones
124 = 11 tens + 14 ones
124 = 10 tens + 24 ones
124 = 9 tens + 34 ones
124 = 4 tens + 84 ones
Place Value 15
Investigation:
1. Make a three-digit number with cards.
2. Make the three-digit number with small 10
frames.
3. Record the number in a place value chart
4. Describe your number using standard place value.
5. Describe your number using non-standard place
value in up to 4 ways.
Reflection: How can we describe three-digit numbers
using place value?
Problem Solving
Jon collected 15 bags of 10 marbles.
How many more marbles does he
need to have 156 marbles?
How do you know?
Place Value 15
365 = 3 hundred + 6
tens + 5 ones
hundreds
3
tens
ones
6
5
365 = 36 tens + 5 ones
365 = 2 hundreds + 16 tens + 5 ones
365 = 1 hundred + 21 tens + 55 ones
365 = 365 ones
Place Value 15
Investigation:
1. Make a three-digit number with cards.
2. Record the number in a place value chart
3. Describe your number using standard place value.
4. Describe your number using non-standard place
value in up to 4 ways.
Reflection: How can we describe three-digit numbers
using place value?
Problem Solving
Jon collected 15 bags of 10 marbles.
How many more marbles does he need to have 156 marbles?
How do you know?
Place Value 15
standard place value
non-standard place value
483
483
400
+ 80
+3
300
+3
+ 180
483
hundreds
4
300
tens
8
ones
3
+ 120 + 63
Non-place value
483
482
+
1
Place Value 15
Investigation:
1. Select cards to make a three-digit number.
2. Partition your number, using non-place value,
standard and non-standard place value.
Reflection: How can we partition three-digit numbers
using standard, non-standard and non-place value?
Problem Solving
Problem Solving
There are 324 fruit bats in these two tress.
How many fruit bats might be in each tree?
I have 324 marbles in three bags.
How many marbles might be in each bag?
Problem Solving
Problem Solving
Jan partitioned 324 blocks into 2 parts.
What might the parts look like?
There are three apple trees, with 325 apples altogether.
How many apples might be in each tree?
Problem Solving
A sugar cane train has 214 carriages.
The train driver partitions the train into 2 parts.
How many carriages could be in each part?
Place Value 15
136
Place Value 15
135
136
137
Place Value 15
126
135
136
137
146
Place Value 15
368
483
734
Place Value 15
368 401
483
734
Place Value 15
Investigation:
1. Select cards to make a three-digit number.
2. Record the number on an open empty number line.
3. Record the number before and after on the number
line.
4. Record the number 10 before and after on the
Problem Solving
number line.
1. Select cards to make three-digit numbers.
2. Record the numbers in order on an open empty
number line.
3. Record numbers that come between your
numbers.
What number could be in the blank space
on this number line?
Problem Solving
Where would 43 go on this number line?
Reflection: How can we use place value to
order numbers
Place Value 15
Place Value 15
More Investigations:
1. Sit with a friend.
2. Each of you record a place value chart with ones, tens and hundreds.
3. Take turns to take 1 card and place it in either the ones place or the tens place or
the hundreds place.
4. Once placed it cannot be changed.
5. Read your number out loud and explain your number using standard place value
as you place out each card.
6. Each of you place your complete three-digit number on the same number line,
explaining your placements.
7. The child who created the highest / lowest number takes all cards.
Reflection: How did you use place value to decide what value to give each digit?
Place Value 15
More Investigations:
1. Sit with a friend.
2. Select 3 cards to make a three-digit target number.
3. Each person flips 3 cards.
4. The child who makes the number closest to the target number wins.
Reflection: How did you use place value to arrange your cards to make the number
closest to the target number?
Place Value 15
More Investigations:
1. Enter a three-digit number into a calculator.
2. Wipe out the tens digit.
3. Enter a three-digit number into a calculator.
4. Wipe out the hundreds digit.
5. Enter a three-digit number into a calculator.
6. Wipe out the ones digit.
Reflection: How did you use place value to wipe out each digit?
Place Value 15
More Investigations:
1. Sit with a friend.
2. Flip 12 cards to make 4 three-digit numbers.
3. Place the numbers in a row.
4. Place the remaining cards face down in a pile.
5. Take turns to select 3 cards from the pile.
6. Make a three-digit number to replace one of your three-digit numbers.
7. The child player to have their four three-digit numbers in ascending (or
descending) order is the winner.
Reflection: How did you use place value to place your numbers in order?
Place Value 15
More Investigations:
1. Sit with friends.
2. Play ‘guess my three-digit number’.
3. One of you records and hides a three-digit number.
4. As the other children guess, tell them whether your number is higher or lower.
Reflection: How did you use place value to guess the number?
Place Value 15
More Investigations:
1. Select 3 cards.
2. Make the largest possible three-digit number.
3. Make the second largest possible three-digit number.
4. Make the third largest possible three-digit number.
5. Make the smallest possible three-digit number.
6. Make the second smallest possible three-digit number.
7. Make the third smallest possible three-digit number.
Reflection: How did you use place value to make the numbers?
Place Value 15
More Investigations:
1. Select a page from a hundred chart.
2. Cut up the hundred chart page into rows or columns or into random pieces.
3. Use your understanding of three-digit numbers to put it back together.
Reflection: How did you use place value to put the hundred chart together?
Place Value 15