EnVision Math Materials, Standards, and Technology Exploration.
Topic 1 EnVision Math
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Transcript of Topic 1 EnVision Math
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Topic 1EnVision Math
Numeration- (Place Value)
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Extend the understanding of place value through millions
and millionths in various contexts and representations.
GLE 506.2.1
Unit Objective:
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*Start at the back of the math spiral forthese problems.
Label paperLabel paper:POD 1-1 (date)(show your work/write your answer here)________________Then draw a line Under today’s Answer(s) and you’llWrite tomorrow’s Answers underneath
*Start at the back of the math spiral forthese problems.
Label paperLabel paper:POD 1-1 (date)(show your work/write your answer here)________________Then draw a line Under today’s Answer(s) and you’llWrite tomorrow’s Answers underneath
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875,203,052875,203,052
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Place ValueNumber Sense and Theory
Lesson Objective: Read and write numbers from millions to millionths
in various contexts. (spi 506.2.1)
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Here are the different ways to write a number:
• Standard Form: 529 uses only digits• Short Word Form: 5 hundred 29 uses digits and words• Word Form: five hundred twenty-nine uses only words• Expanded Form: 500 + 20 + 9 uses digits to show the value of each
place
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Place Value
Read and Write numbers from millions millionths
Word Form:
1,045 one thousand forty-five
six hundred two
602
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Place Value cont.
• Write numbers in e x p a n d e d form:
6,097,133 6,000,000 + 90,000 + 7,000 + 100 + 30 + 3
5,014 =
5,000 + 10 + 4
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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?
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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
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Place Value
• Identify the place value of a given digit:
What place is the 2 in each of these #s ?
6,200,799 hundred thousands
484,102 ones
25,361,969 ten millions
125,007 ten thousands
528 tens
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Day 2 of lesson-
Label Paper:Label Paper:Daily Spiral 1-2 (date)
Day 2 of lesson-
Label Paper:Label Paper:Daily Spiral 1-2 (date)
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Comparing and Ordering Whole
NumbersLesson Objective:
Compare whole numbers using the symbols <, >, and =. (spi 506.2.9)
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Comparing Numbers
Step 1: Write the numbers in a vertical list. Line up the numbers by place value.
9,430,987
9,428,987
Compare 9,430,987 and 9,428,987
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Comparing NumbersStep 1: Write the numbers in a vertical list. Line up the
numbers by place value.
9,430,987
9,428,987Step 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
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Comparing Numbers
Practice
1)83,204 87,204
2) 1,322 1,332
3) 5,671 5,671
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Comparing Numbers
Practice
1)83,204 87,204
2) 1,322 1,332
3) 5,671 5,671
<
<
=
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Ordering Numbers
Step 1: Write the numbers in a vertical list. Line up the numbers by place value
19,475
18,338
18,358
Order 19,475; 18,338; and 18,358 from greatest to least
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Ordering Numbers
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
Order 19,475, 18,338, and 18,358 from greatest to least
19,475 18,338 18,358
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Ordering Numbers
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
Order 19,475, 18,338, and 18,358 from greatest to least
19,475 18,338 18,358
From greatest to least:19,475 > 18,358 > 18,338
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Label paper: POD 1-3 (date)**Write answers in a complete sentence.
Label paper: POD 1-3 (date)**Write answers in a complete sentence.
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Cream of celery and turkey vegetable need to be restocked.
Sample answer…sentences may vary.
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Place Valuewith decimals through millionths
Lesson Objective:
Read and write numbers from millions to millionths in various contexts.
(spi 506.2.1)
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Starting with the ones place, let’s name the places together, in order, from ones to millions:
onestenshundredsthousandsten thousandshundred thousandsmillions
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onestenshundredsthousandsten thousandshundred thousandsmillions
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
(.) decimaltenthshundredthsthousandthsten thousandthshundred thousandthsmillionths
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Practice (whole group…on screen)
1.http://www.thatquiz.org/tq/practice.html?placevalue (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, threeAnswers to a-g are on the next slide….
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Practice Answers
2. Write each number in standard form. a) 83,903
b) 98,340 c) 489,341 d) 503,070 e) 48,016 f) 208 g) 65,002,014,003
Stop here…save rest of decimal placevalue for tomorrow.
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Reminder~
• Use your place value chart (in your spiral notebook) to help you with today’s math problems.
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How to read and write decimals:
Write the following number in word form:
40.318
Step 1:Write the word namefor the #s to the left of or before the decimal point.
forty
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 nameof the final digit after thedecimal point.
forty and three hundred eighteen thousandths
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Practice: try to write the following in word form.
1) 7.4005
2) 0.28067
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Check your answers
Practice: try to write the following in word form.
1) 7.4005
seven and four thousand five ten thousandths
2) 0.28067
twenty-eight thousand sixty-seven hundred thousandths
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0 . 7 2 0
th h t o . t h th
3 8 5
10
th100
th m
How would you write this # in word form?
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0 . 7 2 0
th h t o . t h th
3 8 5
10
th100
th m
Seven hundred twenty thousand, three hundred eighty-five millionths
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.
th h t o . t h th 10
th100
th m
What place is the 4 in ? 0. 00548
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0 . 0 0 5
th h t o . t h th
4 8
10
th100
th m
What place is the 4 in ? 0. 00548
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What number is in the hundred thousandths place?
8.097136
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What number is in the hundred thousandths place?
8.097136
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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.
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4.000029the nine is in the millionths place
Four and twenty-nine millionths
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4 . 0 0 0
th h t o . t h
4.000029
th
0 2 9
10
th100
th m
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Use your chart in your spiral if you need to….
Mon., Aug. 22
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ThousandthsOnesHundredshundredths
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Now, try some more practice
http://www.thatquiz.org/tq/practice.html?placevalue
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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Comparing and Ordering Decimal
NumbersLesson Objective:
Compare decimal numbers using the symbols <, >, and =. (spi 506.2.9)
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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
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Center 1-4Do as whole group
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MORE DECIMAL PRACTICE
Putting Decimals in Order
http://www.ixl.com/math/grade-5/put-decimal-numbers-in-order
Comparing Decimal Numbers
http://www.ixl.com/math/grade-5/compare-decimal-numbers