Place Value = 1 hundred 100 = 10 tens 100 = 100 ones hundreds tens ones 10 0

Place Value 15 1.Sit with a friend. 2.Have a 100 small 10 frame, for example, 3.Record a place value chart with ones, tens and hundreds. 4.How many hundreds do you see? 5.How many tens do you see? 6.How many ones do you see? Reflection: How can we see 100 as 1 hundred and as 10 tens and as 100 ones? Investigation: Problem Solving Fred had a packet of 100 lollies. Gina had 100 individual lollies. Did they have the same number of lollies?

hundreds tens ones = 1 hundred and 2 tens and 4 ones Place Value 15

hundreds tens ones = 1 hundred and 2 tens and 4 ones 124 = 12 tens and 4 ones Place Value 15

hundreds tens ones = 1 hundred and 2 tens and 4 ones 124 = 12 tens and 4 ones 124 = 124 ones

hundreds tens ones = 1 hundred and 2 tens and 4 ones 124 = 12 tens and 4 ones 124 = 124 ones 124 = 1 hundred and 24 ones Place Value 15

hundreds tens ones = 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 Place Value 15

hundreds tensones Place Value

hundreds tensones 12 4

Place Value 15 hundreds tensones = 1 hundred + 2 tens + 4 ones

Place Value 15 hundreds tensones = 1 hundred + 2 tens + 4 ones 124 = 12 tens + 4 ones

Place Value 15 hundreds tensones = 1 hundred + 2 tens + 4 ones 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 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? Investigation: 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 hundreds tensones = 3 hundred + 6 tens + 5 ones 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 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? Investigation: 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 hundreds tensones standard place valuenon-standard place value Non-place value

Place Value 15 1.Select cards to make a three-digit number. 2.Partition your number, using non-place value, standard and non-standard place value. Investigation: Reflection: How can we partition three-digit numbers using standard, non-standard and non-place value? Problem Solving There are three apple trees, with 325 apples altogether. How many apples might be in each tree? Problem Solving There are 324 fruit bats in these two tress. How many fruit bats 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? Problem Solving Jan partitioned 324 blocks into 2 parts. What might the parts look like? Problem Solving I have 324 marbles in three bags. How many marbles might be in each bag?

Place Value

Place Value

Place Value

Place Value

Place Value

Place Value 15 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 number line. Investigation: Reflection: How can we use place value to order numbers 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. Problem Solving Where would 43 go on this number line? Problem Solving What number could be in the blank space on this number line?

Place Value 15

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? More Investigations: Place Value 15

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? More Investigations: Place Value 15

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? More Investigations: Place Value 15

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? More Investigations: Place Value 15

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? More Investigations: Place Value 15

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? More Investigations: Place Value 15

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? More Investigations: Place Value 15