1. Copyright © Ed2Net Learning, Inc.1 Numbers and Number Sense Grade 3

2. Copyright © Ed2Net Learning, Inc. 2 Warm-up 1. Tanya has 27 straws, Ned has 29 straws, and Juan has 32 straws. Who has the most, and who has the least number of straws? 2. What number comes before and after the following numbers? ___ 27 ___ ____ 76 ____ ___19 ____

3. Copyright © Ed2Net Learning, Inc. 3 Notation and Place Value Place Value: The value given to a digit by its place in a number Place Value helps you understand the Whole Numbers (0, 1, 2, 3, 4, 5, 6, 7, 8, 9…) To determine the value of each digit in the number, we need to look at its place in the number.  A digit is any of the symbols used to write numbers 0, 1, 2, 3, 4, 5, 6, 7, 8, 9.

4. Copyright © Ed2Net Learning, Inc. 4 Notation and Place Value Here is the place value chart to the hundreds place. Fill in the number 129 Which number is in the tens place? HundredsTensOnes

5. Copyright © Ed2Net Learning, Inc. 5 Notation and Place Value Let’s look at the number 908  Which number is in the hundreds place?  Which number is in the ones place?

6. Copyright © Ed2Net Learning, Inc. 6 Try This! What is the place value of 3 in each of the following?  374  132  223

7. Copyright © Ed2Net Learning, Inc. 7 Notation and Place Value Now let us look at the bigger numbers Place value to 100,000 The easiest way is to fill in the ones place and fill in from the right to left  Example: 743,369 Notice the comma; A period is each group of 3 digits in a place-value chart. Hundred Thousands Ten Thousands ThousandsHundredstensones 743,369 The value of 7 is 700,000 The value of 4 is 40,000 The value of 3 is 3,000 The value of 3 is 300 The value of 6 is 60 The value of 9 is 9

8. Copyright © Ed2Net Learning, Inc. 8 Write this number:  5 hundred thousands  0 ten thousands  1 thousands  3 hundreds  8 tens  2 ones Try This!

9. Copyright © Ed2Net Learning, Inc. 9 Welcome Charlie, the Crocodile!!! Charlie, the Crocodile loves eating numbers!!!

10. Copyright © Ed2Net Learning, Inc. 10 5 9 82 1 7 Charlie is a fussy eater… He only eats the biggest number he can see…

11. Copyright © Ed2Net Learning, Inc. 11 Which number will Charlie eat? 2,3052,004 2,305 > 2,004  This is read as 2,305 is greater than 2,004  Or, 2,004 < 2,305: 2,004 is less than 2,305

12. Copyright © Ed2Net Learning, Inc. 12 Comparing and Ordering We compare numbers using number line and place value When we compare numbers we start from left to right. It is necessary to find the first place where the digits are different.

13. Copyright © Ed2Net Learning, Inc. 13 Comparing and Ordering Let’s order these numbers from least to greatest: 953, 1004, 989 Use a number line 950 960 970 980 990 1,000 1,010 9539891,004 953 < 989 < 1,004

14. Copyright © Ed2Net Learning, Inc. 14 Comparing and Ordering Use a place value chart Be careful when reading the instructions! Are they asking for the smallest or the biggest ? Are they asking you to order the numbers from least to greatest or greatest to least? thousandshundredstensones 953 1004 989 1,004 is the greatest number Compare the tens. 9 = 9 5 < 8 so 953 < 989 Since you know that 50 < 80, you do not need to compare the ones.

15. Copyright © Ed2Net Learning, Inc. 15 Estimation When we estimate we find a number close to the exact number  100 is an estimate of number 99 A benchmark number is used to estimate the number of objects without counting them This jar has about 10 marbles This jar has about 5 times as many marbles Benchmark Number This jar has about 50 marbles

16. Copyright © Ed2Net Learning, Inc. 16 Try This! Use 10, 100, or 1,000 to estimate  The number of pencils in a pack  The number of pages in your notebook  The number of visitors to a zoo in a month

17. Copyright © Ed2Net Learning, Inc. 17 Round to Tens and Hundreds Rounding is one of the ways we estimate. To round is to find the value of a number based on a given place value. Use a number line Round to nearest Ten  953 is closer to 950 than 960. So, 953 rounds to 950.  989 rounds to 990.  1,004 rounds to 1,000. Round to nearest Hundred  953 is closer to 900 than 1,000. So, 953 rounds to 900.  989 rounds to 1,000.  1,004 rounds to 1,000. 950 960 970 980 990 1,000 1,010 9539891,004

18. Copyright © Ed2Net Learning, Inc. 18 Round to Tens and Hundreds We can use Place Value to Round  Let’s round 45 to the nearest tens place  Step 1: Since we are rounding to the tens place, we need to underline that digit: 45  Step 2: Then we look at the “next door neighbor on the right”: 45 If that digit is 5 or more we increase the underlined digit by 1 If that digit is 4 or less the underlined digit remains the same  Since that digit is 5 we increase the underlined digit by 1; therefore, 4 becomes 5  Step 3: Finally, we change all the digits to the right of the underlined digit to 0 So 45 rounds to 50

19. Copyright © Ed2Net Learning, Inc. 19 Try This! Round 4,760 to the nearest tens place Round 234 to the nearest hundreds place

20. Copyright © Ed2Net Learning, Inc. 20 Different forms of a number! Let us look at number 1,385  Standard Form : 1,385 Standard Form is a way of writing a number that shows only its digits  Expanded Form: 1,000 + 300 + 80 + 5 Expanded Form is a way of writing a number as the sum of the value of its digits.  Word Form: One thousand, three hundred eighty-five Word Form is a way to write numbers by using words

21. Copyright © Ed2Net Learning, Inc. 21 Try This! Write each number in standard form  3 thousands, 4 hundreds, 5 ones  700 + 40 + 1

22. Copyright © Ed2Net Learning, Inc. 22 Break

23. Copyright © Ed2Net Learning, Inc. 23

24. Copyright © Ed2Net Learning, Inc. 24 Problem Solving Use the Four-Step Process Read the problem to: See what you need to find. Identify information that will help you find it.  What do you know?  What do you need to find? Plan: Decide what strategy you will use. Follow your plan. Solve the problem. Look back to see if your answer makes sense.

25. Copyright © Ed2Net Learning, Inc. 25 Problem Solving Strategy Use logical reasoning Find a pattern Try and check Choose an operation Use a formula Write an equation Solve a simpler problem Work backwards Make a table, graph, picture, or diagram

26. Copyright © Ed2Net Learning, Inc. 26 Problem Solving: Skill Allan’s game piece is on box 40 of a game board. He moves it ahead 20 boxes two times. Where is his game piece now?  Step 1: Read What do you know?  Allan starts on box 40. He moves his game piece ahead 20 boxes 2 times. What do you want to know?  Where Allan’s game piece is now  Step 2: Plan What strategy will you use?  Accept reasonable responses

27. Copyright © Ed2Net Learning, Inc. 27 Problem Solving: Skill  Step 3: Solve Start at 40. Count on 2 tens. Count on 2 more tens. 40 + 20 = 60 60 + 20 = 80 Allan’s game piece is now on 80  Step 4: Look Back Check your answer  Does your answer make sense?

28. Copyright © Ed2Net Learning, Inc. 28 Try This! Sally, Andrew, and Zachary are hungry after school. They only find an apple, an orange, and a banana. Sally doesn’t like oranges. Andrew would like a banana. Who gets each piece of fruit so that everyone is happy?  Hint: Create a table to show your answer.

29. Copyright © Ed2Net Learning, Inc. 29 Problem Solving: Another method CUBE  Circle the important information  Understand what it is asking you to do  Bracket the question and then decide how you are going to solve it  Explain your answer

30. Copyright © Ed2Net Learning, Inc. 30 Problem Solving – Another method Luis earned 14 Accelerated Reading points the first week of November. At the end of the following week he had a total of 31 points. (How many points did he earn the second week?) What do you have to do and how are you going to solve it? Write an equation  31-14 = 17

31. Copyright © Ed2Net Learning, Inc. 31 Hailey is helping her mother get ready for dinner. Her mother asked her to put 3 cherry tomatoes and some grated cheese on each salad. If there are 6 salads, how many cherry tomatoes will she need? Your Turn!

32. Copyright © Ed2Net Learning, Inc. 32 Assessment 1. Write the place value of the underlined digit 1. 546,981 2. 902,451 3. 2,853 2. Rewrite this number 9 ten thousands 8 ones 0 hundreds 4 thousands 7 hundred thousands 5 tens

33. Copyright © Ed2Net Learning, Inc. 33 Assessment 3. Insert, = 7,204 __ 7,042 4. What does the word “estimate” mean? Can you give me an example. 5. Round 5,632 to the nearest hundreds place. 6. Order this set of data from least to greatest: 134 143 157 107 140 7. Rewrite these numbers: 1. 7 tens + 1 ones = 2. 400 + 20 + 1 = 3. Two hundred twenty-six

34. Copyright © Ed2Net Learning, Inc. 34 Assessment 8. Ann, Bob, Cathy and Derek each work as a doctor, lawyer, teacher, or farmer. Use the clues to find who has which job. 1. Cathy is not a teacher or a farmer. 2. Ann is either a teacher or a doctor. 3. Derek is not a doctor or a farmer. 4. The lawyer is a woman. Ann Bob Cathy Derek Doctor Lawyer Teacher Farmer

35. Copyright © Ed2Net Learning, Inc. 35 Great Job Today!!! Remember to do the practice worksheets!