Transcript File

PL ACE VALUE
L G : T O PA R T I T I O N A N D R E N A M E N U M B E R S
CLINIC LG: TO USE YOUR NUMBER
EXPANDER TO RENAME NUMBERS
Use your expander to rename the below numbers in 3 different ways.
For example 34,678 is the same as:
• 3467 tens and 8 ones
• 346 hundreds seven tens and 8 ones
• 34 thousands and 678 ones
• 56, 324
• 34, 729
• 27,592
• 456,031
LG: TO USE YOUR NUMBER EXPANDER
TO PARTITION NUMBERS
Partition the below numbers:
• 44,245
• 24,567
• 78,813
• 123,568
• 456,782
• 693,102
LG: TO PARTITION AND RENAME
NUMBERS
Use your number expander to complete this table:
Number
Partition
33 456
(example)
30 000 + 3000 + 400 + 50 +
6
58 691
50 000 + 9000 + 400 + 60 +
3
621 812
300 000 + 6000 + 300 + 40
+8
302 865
Number in Ones
33456 Ones
Number in Tens
3345 Tens and 6 Ones
Number in Hundreds
334 Hundreds and 5 tens
and 6 ones
Number in Thousands
33 Thousands 456 ones
WHAT NUMBER AM I?
• 843 tens and 7 units
• 345 hundreds and 26 units
• 52 thousands and 49 tens and 1 unit
• 726 thousands and 12 units
• 127 thousands and 21 tens
LG: To count forward and backwards in place value parts
Starting Number
Counting Up or Down By...
Number Pattern (4 times)
43,000
Forwards by 100’s
43,000
43,100
43,200
102,345
Backwards by 10’s
102,345
102,335
102,325
82,500
Forwards by 1000’s
99,999
Backwards by 100’s
54,234
Forwards by 10’s
12,345
Backwards by 100’s
43,300
102,315
*CLINIC*LG: To compare numbers up to
100,000
TASK:
● Create a number statement using “smaller than” or “bigger than” to
describe the difference between two numbers.
● Calculate the difference between the two numbers and include this in
your statement.
● E.g 74 422 is 200 less than 74 222
0 as the placeholder
The number 0 can be used as a "placeholder", this helps us to write a number
properly.
Example: 502 (five hundred and two) could be mistaken for 52 (fifty two)
without the zero in the tens place. Using 0 as a place holder. Fill in the table
below by placing the 0 in the ten thousands place, thousands place and tens
place.
Digits
Remake 1
Remake 2
Remake 3
12345
102,345
One hundred and 2
thousand, three
hundred and forty five
120,345
123,405
One hundred and
twenty thousand, three
hundred and forty five
One hundred and
twenty three thousand,
four hundred and five.
23415
98765
67543
LG: TO RECOGNISE THE USEFULNESS OF
ESTIMATION TO CHECK CALCULATIONS
1) Round the following numbers to the closest hundred.
a) 235
b) 680
c) 113
d) 450
e) 5164
f) 3784
2) Round the following numbers to the closest thousand.
a) 942
b) 2,435
c) 5,678
d) 45,043
e) 59,350
f) 42,845
LG: TO RECOGNISE THE
USEFULNESS OF ESTIMATION TO
CHECK
CALCULATIONS
We use estimating when we want an approximate answer to a calculation. Rounding helps
us do this. We round numbers so we can work with them more easily in our
heads.
For example:
Look at 333 + 521
Rounding to the nearest 10, they are 330 and 520.
330 + 520 = 850
Therefore 333 + 521 is approximately 850
LG: TO RECOGNISE THE USEFULNESS
OF ESTIMATION TO CHECK
CALCULATIONS
With a partner, complete these steps to see why estimating is handy.
Step 1. Use the problem 57 – 38. Time how long it takes your partner to solve the equation
mentally.
Step 2. Now round the numbers to the nearest ten and time how long it takes to solve this
problem
Step 3. Which problem is faster to solve? Why? Write your response in your maths books.
Step 4. Can you think of an occasion you would use estimation? Write your response into
your maths books.
LG: TO RECOGNISE THE USEFULNESS OF
ESTIMATION TO CHECK CALCULATIONS
Practise estimating by completing the below table:
Original
Rounded
Answer
sentence
sentence
384 + 53
380 + 50
430
22 + 69
406 – 89
379 + 203
609 - 498
826 + 599
1, 234 + 9,876
4,567 – 1,999
8,522 + 2,011
TO USE ESTIMATION TO SOLVE
WORD PROBLEMS
1) Sarah is saving money to go to the fair. In week 1 she saves $13, in week 2 she saves $19 and
in week 3 she saves $29. Estimate how much money she has at the end of week 3.
The show bags that Sarah wants cost roughly $15 each. If she wants to spend half her
money on show bags, how many show bags can she buy?
2) Kylie is crazy about dolphins. She has 4 889 pictures of them, 389 stuffed toys, and 481
figurines. She thinks she has about 6 000 items altogether. Is this estimation reasonable?
Estimate and Round Challenge
Original Question
Rounded Numbers
Answer
103 + 699
100 + 700
800
10,190 - 6,542
10,000 - 6,500
3,500
235,899 + 190,987
123,456 + 678,872
678,900 - 200,304
900,871 - 560,887
340,111 + 234,999
STEPS
1. Find the place value you want (the "rounding digit") and look to the digit just to the right of it.
2. If that digit is less than 5, do not change the "rounding digit" but change all digits to the right of the
"rounding digit" to zero.
3. If that digit is greater than or equal to 5, add one to the rounding digit and change all digits to the
right of the rounding digit to zero.
*CLINIC* LG: TO USE THE SPLIT STRATEGY
TO ADD TWO NUMBERS TOGETHER
Th
H
T
O
8
8
2
3
5
0
0
0
1
0
0
2
0
3
+
Th
H
T
O
4
2
5
0
4
0
0
0
=
2
0
0
=
5
0
=
0
=
(+)
=
9
9
0
0
0
3
0
0
7
0
3
3
7
3
*CLINIC* LG: TO USE THE SPLIT STRATEGY
TO ADD TWO NUMBERS TOGETHER
• Use the split strategy/partitioning method to add these numbers. The ones in red you will need
to trade.
Example: 567 + 199 = 766
a)
b)
c)
d)
e)
1,235 + 2,462
3,876 + 5,123
7492 + 2,163
82,174 + 17,625
47,432 + 52, 844
LG: TO PARTITION NUMBERS
Use partitioning to calculate the answers to these problems
1) There were 82,694 Western Bulldogs Fans and 17,830 Sydney Swans fans at the
MCG for the 2016 AFL grand final. How many fans altogether?
2) You and your family are planning to do a big trip up the east coast of Australia! How
many kilometers do you travel in total if you take the following route:
Adelaide → Melbourne → Sydney → Brisbane → Cairns
* Use google maps to help you!
* Take the most direct route between cities
LG: TO PARTITION NUMBERS
3) In October 78,501 loaves of bread were sold at Bakers Delight. Next month, they
expect that sale to double. How many loaves of bread are expected to sell in
November?
4) In 2016, two clothes factories produced 137,231 t-shirts altogether.
If one factory produced 82,183 how many did the other factory
produce?