2. Place Value 21 Fractions and Decimals 12 ones tens hundreds thousands x 10 ÷ 10 tenths x 10 hundredths ÷ 10 x 10

3. 1.At least once a week, draw a multiplicative place value chart to tenths from memory. 2.Explain to a friend that you are multiplying by 10 to get the value of the column on the left. 3.Explain to a friend that you are dividing by 10 to get the value of the column to the right. Reflection: Why is the value of the column to the right of the ones column, tenths? Investigation: Problem Solving What number is missing from this place value chart? Place Value 21 Fractions and Decimals 12

4. Place Value 21 Fractions and Decimals 12 ones tens hundreds thousands x 10 ÷ 10 tenths x 10 hundredths ÷ 10 x 10 1 0 1 tenth = 1 tenth 1 tenth = 10 hundredths

5. Place Value 21 Fractions and Decimals 12 ones tens hundreds thousands x 10 ÷ 10 tenths x 10 hundredths ÷ 10 x 10 1 0 0 1 = 1 one 1 = 10 tenths 1 = 100 hundredths

6. Place Value 21 Fractions and Decimals 12 ones tens hundreds thousands x 10 ÷ 10 tenths x 10 hundredths ÷ 10 x 10 1 0 0 0 10 = 1 ten 10 = 10 ones 10 = 100 tenths 10 = 1000 hundredths

7. 1.Draw a multiplicative place value chart to hundredths. 2.Select a card and place it in the tenths place. 3.Describe your number of tenths using standard and non-standard place value as a number of tenths and as a number of hundredths. 4.Select a card and place it in the ones place. 5.Describe your number of ones using standard and non-standard place value as a number of ones, as a number of tenths and as a number of hundredths. 6.Place your card in the tens place. 7.Describe your number of tens using standard and non-standard place value as a number of tens, as a number of ones, as a number of tenths and as a number of hundredths. Reflection: How can we describe tenths, ones and tens as hundredths? Investigation: Place Value 21 Fractions and Decimals 12 Problem Solving Alex recorded a number as 5 ones. Mike recorded a number as 500 hundredths. Did they both record the same number?

8. Place Value 21 Fractions and Decimals 12 ones tens hundreds thousands x 10 ÷ 10 tenths x 10 hundredths ÷ 10 x 10 0 1 4

9. Place Value 21 Fractions and Decimals 12 ones tens hundreds thousands x 10 ÷ 10 tenths x 10 hundredths ÷ 10 x 10

10. 1.Draw a multiplicative place value chart to hundredths. 2.Select cards to make a number with ones and hundredths. 3.Describe your number using standard and non-standard place value. 4.Record hundredths as both fractions and decimals. Investigation: Place Value 21 Fractions and Decimals 12 Problem Solving 6.83 is equal to: (a)683 ones683 ones (b)683 tenths683 tenths (c)683 hundredths683 hundredths Problem Solving 7.36 is equal to: (a)7 tenths and 3 ones and 6 hundredths7 tenths and 3 ones and 6 hundredths (b)7 ones and 3 tenths and 6 hundredths7 ones and 3 tenths and 6 hundredths (c)736 ones736 ones Problem Solving 46.82 is equal to: (a)4682 ones4682 ones (b)4682 tenths4682 tenths (c)4682 hundredths4682 hundredths Problem Solving 47.3 is equal to: (a)4 tens and 7 tenths and 3 ones4 tens and 7 tenths and 3 ones (b)4 tens and 7 ones and 3 tenths4 tens and 7 ones and 3 tenths (c)473 ones473 ones Reflection: How can we describe numbers with tenths using standard and non-standard place value?

11. Place Value 21 Fractions and Decimals 12

12. 1.Sit with a friend. 2.Each select cards to make a number with hundredths. 3.Place your numbers in order. 4.Explain your order using place value. Reflection: How did you use place value to order your numbers? More Investigations: Place Value 21 Fractions and Decimals 12

13. 1.Sit with a friend. 2.Take turns to take a card and place it in either the hundredths place or the tenths place or the ones place or the tens place. 3.Once placed it cannot be changed. 4.Read your number out loud. 5.The child who creates the highest / lowest number takes all cards. 6.Explain your number using standard place value. 7.Each place your number on the same number line, explaining your placement. Reflection: How did you use place value make the highest / lowest number? More Investigations: Place Value 21 Fractions and Decimals 12

14. 1.Sit with a friend. 2.Take turns to flip 2, 3 or 4 cards and each make a number with hundredths. 3.Read your numbers out loud. 4.Each place your number on the same number line. 5.Each suggest a number that would come between the 2 numbers, using place value to explain how you know. Reflection: How did you use place value to record numbers between your numbers? More Investigations: Place Value 21 Fractions and Decimals 12

15. 1.Sit with a friend. 2.2, 3 or 4 cards are selected to be a target number with hundredths. 3.Each of you flip 2, 3 or 4 cards to make a number with hundredths. 4.The child who makes a number closest to the target number wins. Reflection: How did you use place value to make a number close to the target number? More Investigations: Place Value 21 Fractions and Decimals 12

16. More Investigations: Place Value 21 Fractions and Decimals 12