WELCOME TO BIG IDEA 1

2. WELCOME TO BIG IDEA 1 GRADE 4 While we are waiting to begin, please make sure that you have: • signed in on the hard copy. • signed in on the computer. Directions and BE # are on the table next to the computer. • ordered lunch in room 301 now, if you wish. We will break for lunch at 11:30 for one hour.

3. GROUP NORMS AND HOUSEKEEPING LOGISTICS: Group Norms: Rest Rooms Participate Phone Calls Listen with an open mind Breaks Lunch Ask questions Punctuality Work toward solutions Sharing Limit side bars

4. BIG IDEA 1 Develop quick recall of multiplication facts and related division facts and fluency with whole number multiplication. 6 x 7 = 42 42 ÷6 = 7 438 X 25

7. WHAT IS TEACHING TO DEPTH OF UNDERSTANDING

9. Teaching For Depth

10. Teaching For Depth

11. MA.4.A.6.1 Use and represent numbers through millions in various contexts, including estimation of relative sizes of amounts or distances.

14. Magnitude of a Number When is 1000 a large number? When is 1000 a small number? When is 1,000,000 a large number ? When is 1,000,000 a small number?

15. PLACE VALUE is a fundamental feature of our number system. A thorough understanding of place value developed early through concrete experiences, is necessary in order for students to achieve computational fluency. ,

16. 20 30 . 500 4,444 XXXX 600

17. What are the periods of this number? Trillion Billion Million Thousand Ones 684,684,684,684,684

18. PERIOD NAMES

19. Each period has the same three places Hundreds Tens Billion Ones Hundreds Tens Trillion Ones Hundreds Tens Million Ones Hundreds Tens Thousand Ones Hundreds Tens Ones Ones 684,684,684,684,684

20. The Power of Ten 2 20 2 x 10 200 2 x 10 x 10 2000 2 x 10 x 10 x 10

21. Different Number Forms Standard: 35,684 Expanded: 30,000 + 5,000 + 600 + 80 + 4 Word: Thirty-five thousand, six hundred eighty-four

22. Grab and Go Center

23. MA.4.A.6.6 Estimate and describe reasonableness of estimates; determine the appropriateness of an estimate versus an exact answer.

27. 672, 408 What are reasonable estimates for this number ?

28. ESTIMATION • Using benchmarks to make reasonable estimates • Rounding to a specific place value

29. The table below shows the land area, in square miles, of four states in the southeast. Which is the best estimate of a range of numbers for the total land area, in square miles, of the four states listed in the table? a. 100,000 to 125,000 c. 150,000 to 175,000 b. 125,000 to 150,000 d. 175,000 to 200,000

30. 1. As of 2008, the number of seats at Ben Hill Griffin Stadium in Gainesville, Florida, was 88,548. At a certain event, 9,325 of the seats were empty. Which is the best estimate of the number of seats that were NOT empty at the event? a. 110,000 c. 90,000 b. 100,000 d. 80,000 2. According to one source, Americans eat between 59 and 65 quarts of popcorn per person in a year. Which of the following is the best estimate of the number of quarts of popcorn eaten by an American family of 4 in one year? a. 150 c. 250 b. 200 d. 300

32. ALGEBRAIC THINKING Equation 10 = t + 3 Inequality 7+6 > 3+5 Expression t + 3 Input Output

35. MA.4.A.4.2 Describe mathematics relationships using expressions, equations, and visual representations. expressions variables

37. Several shapes are shown below: There is a relationship between the number of the shape and the number of sides that each shape has. If this same pattern continues, which expression below can be used to find the number of sides of Shape 6 ? a. 6 + 1 c. 6 x 1 b. 6 + 2 d. 6 x 2

39. Marquese has some Skittles left in his bag. Dora has two more than Marquese left in her bag. If m represents the number of skittles that Marquese has, write an expression to show how many skittles Dora has. m + 2

40. Deborah has some Skittles. Mark has three fewer than Deborah. If d represents the number of skittles that Deborah has, write an expression to show how many skittles Mark has. d - 3

41. Morgan has some Skittles. Stacey has twice as many as Morgan. If m represents the number of skittles that Morgan has, write an expression to show how many skittles Stacey has. m + m or 2 x m or 2m

42. What’s the word problem? Numerical Expressions 42 – 15 50 ÷ 5 Algebraic Expressions n – 15 50 ÷ n

43. Morgan had 8 extra pencils to share with friends. She shared the 8 pencils with 2 friends. Which expression shows what Morgan did with her extra pencils? 8 x 2 8 – 2 8 ÷ 2 8 + 2 Morgan had some pencils to share equally with 2 friends. Let p represent the pencils. Which expression shows what Morgan did with her pencils? p x 2 p – 2 p ÷ 2 p + 2

44. During the summer, Melissa read 5 more books than Justin. Justin read 11 books. Write an expression to show how many books Melissa read. During the summer, Melissa read 5 more books than Justin. Let b represent the books that Justin read. Write an expression to show how many books Melissa read during the summer.

45. Luca has 3 packs of baseball cards. There are 5 cards in each pack. His friend Noah gave him 6 more cards. Which expression shows the baseball cards that Luca has? (3 X 6 )+ 5 (3 X 5) + 6 5 X (6 + 3) 5 + (6 + 3) Luca has 3 packs of baseball cards. There are 5 cards in each pack. His friend Noah gave him some more cards. Let n represent the cards from Noah. Which expression shows all of the baseball cards Luca has? (3 X n )+ 5 (3 X 5) + n 5 X (n + 3) 5 + (n + 3)

46. PICK A PAIR p ÷ 10 10 ÷ p w – 19 19 - w 2r r + 2

47. Several shapes are shown below: There is a relationship between the number of the shape and the number of sides that each shape has. If this same pattern continues, which expression below can be used to find the number of sides of Shape 6 ? a. 6 + 1 c. 6 x 1 b. 6 + 2 d. 6 x 2

48. We’re on a roll with expressions!