PLACE VALUE LG TO PARTITION AND RENAME NUMBERS

PLACE VALUE LG: TO PARTITION AND RENAME NUMBERS

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 Number in Ones Number in Tens Number in Hundreds Number in Thousands 33 456 (example) 30 000 + 3000 + 400 + 50 + 6 33456 Ones 3345 Tens and 6 Ones 334 Hundreds and 5 tens and 6 ones 33 Thousands 456 ones 58 691 50 000 + 9000 + 400 + 60 + 3 621 812 300 000 + 6000 + 300 + 40 + 8 302 865

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 43, 300 102, 345 Backwards by 10’s 102, 345 102, 335 102, 325 102, 315 82, 500 Forwards by 1000’s 99, 999 Backwards by 100’s 54, 234 Forwards by 10’s 12, 345 Backwards by 100’s

*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 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. d) 45, 043 b) 2, 435 c) 5, 678 e) 59, 350 f) 42, 845 TO

LG: TO RECOGNISE THE USEFULNESS OF ESTIMATION TO CHECK 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 CALCULATIONS 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

LG: TO RECOGNISE THE USEFULNESS OF ESTIMATION TO CHECK CALCULATIONS Practise estimating by completing the below table: Original sentence 384 + 53 Rounded sentence 380 + 50 Answer 22 + 69 406 – 89 379 + 203 609 - 498 826 + 599 1, 234 + 9, 876 4, 567 – 1, 999 8, 522 + 2, 011 430

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 4 2 5 0 0 0 4 0 0 0 = 9 0 0 0 1 0 0 2 0 0 = 3 0 0 2 0 5 0 = 7 0 3 0 = (+) 3 = 9 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?