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Numeration- (Place Value)

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Presentation on theme: "Numeration- (Place Value)"— Presentation transcript:

1 Numeration- (Place Value)
Topic 1 EnVision Math

2 Unit Objective: Extend the understanding of place value through millions and millionths in various contexts and representations. GLE

3 *Start at the back of the math spiral for these problems. Label paper: POD (date) (show your work/ write your answer here) ________________ Then draw a line Under today’s Answer(s) and you’ll Write tomorrow’s Answers underneath

4 875,203,052

5 Number Sense and Theory
Place Value Number Sense and Theory Lesson Objective: Read and write numbers from millions to millionths in various contexts. (spi )

6 Here are the different ways to write a number:
Standard Form: uses only digits Short Word Form: 5 hundred 29 uses digits and words Word Form: five hundred twenty-nine uses only words Expanded Form: uses digits to show the value of each place

7 Read and Write numbers from
Place Value Read and Write numbers from millions  millionths Word Form: 1,045 one thousand forty-five six hundred two 602

8 5,000 + 10 + 4 Write numbers in e x p a n d e d form: 6,097,133
Place Value cont. Write numbers in e x p a n d e d form: 6,097,133 6,000, , , 5,014 = 5,

9 Place Value cont. Short Word Form 83,903 = 83 thousand, 903 7, 062= 7 thousand, 62 Why is there not a 0 in this answer?

10 Place Value Identify the place value of a given digit: What place is the 2 in each of these #s ? 6,200,799 484,102 25,361,969 125,007 528

11 484,102 ones 25,361,969 ten millions 125,007 ten thousands 528 tens
Place Value Identify the place value of a given digit: What place is the 2 in each of these #s ? 6,200, hundred thousands 484, ones 25,361, ten millions 125, ten thousands tens

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13 Day 2 of lesson- Label Paper: Daily Spiral 1-2 (date)

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15 Comparing and Ordering Whole Numbers
Lesson Objective: Compare whole numbers using the symbols <, >, and =. (spi )

16 Comparing Numbers Compare 9,430,987 and 9,428,987 Step 1: Write the numbers in a vertical list. Line up the numbers by place value. 9,430,987 9,428,987

17 Comparing Numbers Step 1: Write the numbers in a vertical list. Line up the numbers by place value. 9,430,987 9,428,987 Step 2: If the numbers have the same number of digits, start from the left and compare digits one at a time. **Notice the different digits in the ten thousands place. Since 3 is greater than 2…. 9,430,987 > 9,428,987 greater than

18 Comparing Numbers Practice
83, ,204 2) 1, ,332 3) 5, ,671

19 Comparing Numbers Practice
83, ,204 2) 1, ,332 3) 5, ,671 < < =

20 Ordering Numbers Order 19,475; 18,338; and 18,358 from greatest to least Step 1: Write the numbers in a vertical list. Line up the numbers by place value 19,475 18,338 18,358

21 Ordering Numbers Order 19,475, 18,338, and 18,358 from greatest to least Step 1: Write the numbers in a vertical list. Line up the numbers by place value Step 2: Start from the left and compare each digit 19,475 18,338 18,358

22 Ordering Numbers Order 19,475, 18,338, and 18,358 from greatest to least Step 1: Write the numbers in a vertical list. Line up the numbers by place value Step 2: Start from the left and compare each digit 19,475 18,338 18,358 From greatest to least: 19,475 > 18,358 > 18,338

23 Label paper: POD (date) **Write answers in a complete sentence.

24 Cream of celery and turkey vegetable need to be restocked.
Sample answer…sentences may vary. Cream of celery and turkey vegetable need to be restocked.

25 Place Value with decimals through millionths
Lesson Objective: Read and write numbers from millions to millionths in various contexts. (spi )

26 tens hundreds thousands ten thousands hundred thousands millions
Starting with the ones place, let’s name the places together, in order, from ones to millions: ones tens hundreds thousands ten thousands hundred thousands millions

27 (.) decimal tenths tens hundredths hundreds thousandths thousands
Starting at the decimal point, the places are named in the same order except: there is not a “ones” place all names end in “ths” to signify that it is a decimal ones tens hundreds thousands ten thousands hundred thousands millions (.) decimal tenths hundredths thousandths ten thousandths hundred thousandths millionths

28 Practice (whole group…on screen)
1. (orally—with volunteers) 2. Write each number in standard form. (on a sheet of paper or in back of spiral under today’s POD) a) 83 thousand 903 b) (9 x 10,000) + (8 x 1,000) + (3 x 100) + (4 x 10) c) four hundred eighty-nine thousand, three hundred forty-one d) (5 x 100,000) + (3 x 1,000) + (7 x 10) e) 48 thousand 16 f) two hundred eight g) sixty-five billion, two million, fourteen thousand, three Answers to a-g are on the next slide….

29 Practice Answers 2. Write each number in standard form. a) 83,903
g) 65,002,014,003 Stop here…save rest of decimal place value for tomorrow.

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32 Reminder~ Use your place value chart (in your spiral notebook) to help you with today’s math problems.

33 How to read and write decimals:
Write the following number in word form: 40.318 Step 2 : Write the word “and” and the word name for the #s to the right of the decimal point. forty and three hundred eighteen Step 3: Write the place value name of the final digit after the decimal point. forty and three hundred eighteen thousandths Step 1: Write the word name for the #s to the left of or before the decimal point. forty

34 Practice: try to write the following in word form.
1) 2)

35 Check your answers Practice: try to write the following in word form.
1) seven and four thousand five ten thousandths twenty-eight thousand sixty-seven hundred thousandths

36 How would you write this # in word form?
. 10 th 100 th th m . 7 2 3 8 5 ,

37 Seven hundred twenty thousand, three hundred eighty-five millionths
. 10 th 100 th th m . 7 2 3 8 5 ,

38 What place is the 4 in ? th h t o . 10 th 100 th th m . ,

39 . . th h t o 8 th th th m 5 4 What place is the 4 in ? 0. 00548 , 10
100 th th m . 5 4 8 ,

40 hundred thousandths place?
What number is in the hundred thousandths place?

41 hundred thousandths place?
What number is in the hundred thousandths place?

42 Try to write the following number in standard form:
Four and twenty-nine millionths ** Remember: when writing a decimal in standard form, start by placing the decimals in the correct place and then work backwards. Use your chart in your spiral notebook to help you write this number.

43 4.000029 the nine is in the millionths place
Four and twenty-nine millionths the nine is in the millionths place

44 th h t o . 10 th 100 th th m 4 . 2 9 ,

45 Use your chart in your spiral if you need to….
Mon., Aug. 22 Use your chart in your spiral if you need to….

46 Thousandths Ones Hundreds hundredths

47 Now, try some more practice
Note to teacher: Change the level to 6 and change the answers to just decimals. Have the students practice these questions out loud.

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50 Comparing and Ordering Decimal Numbers
Lesson Objective: Compare decimal numbers using the symbols <, >, and =. (spi )

51 Look at the steps on pg. 12 Watch Lesson (1-04) video Practice: Center Activity (1-4) whole group (on next slide) Individual Practice: WB 25 or WB 26

52 Center 1-4 Do as whole group

53 More decimal practice Putting Decimals in Order
Comparing Decimal Numbers


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