DO NOW-on NEW handout sheet!! Directions: Write as a mathematical phrase 1.Eight more than a number...
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Transcript of DO NOW-on NEW handout sheet!! Directions: Write as a mathematical phrase 1.Eight more than a number...
![Page 1: DO NOW-on NEW handout sheet!! Directions: Write as a mathematical phrase 1.Eight more than a number 2.The difference between ten and seven 3. Two multiplied.](https://reader036.fdocuments.in/reader036/viewer/2022070410/56649ef65503460f94c09464/html5/thumbnails/1.jpg)
DO NOW-on NEW handout sheet!!
Directions: Write as a mathematical phrase
1.Eight more than a number
2.The difference between ten and seven
3. Two multiplied by a number
![Page 2: DO NOW-on NEW handout sheet!! Directions: Write as a mathematical phrase 1.Eight more than a number 2.The difference between ten and seven 3. Two multiplied.](https://reader036.fdocuments.in/reader036/viewer/2022070410/56649ef65503460f94c09464/html5/thumbnails/2.jpg)
Announcements
• Pick up a Warmup/hw/objective Weekly sheet every Monday and keep it for the week!
• Pencils-red bucket; sharpener-on desk
• Homework/Classwork-HARLAN SITE
• HW and Weekly sheet handed in Fridays
• BIG GOAL-5 week assessments
![Page 3: DO NOW-on NEW handout sheet!! Directions: Write as a mathematical phrase 1.Eight more than a number 2.The difference between ten and seven 3. Two multiplied.](https://reader036.fdocuments.in/reader036/viewer/2022070410/56649ef65503460f94c09464/html5/thumbnails/3.jpg)
ObjectiveStudents will be able to
(SWBAT):
• Write mathematical expressions for verbal expressions, and vice versa
• Use variables in algebraic expressions
![Page 4: DO NOW-on NEW handout sheet!! Directions: Write as a mathematical phrase 1.Eight more than a number 2.The difference between ten and seven 3. Two multiplied.](https://reader036.fdocuments.in/reader036/viewer/2022070410/56649ef65503460f94c09464/html5/thumbnails/4.jpg)
Homework
• Variables and Expressions worksheet #
![Page 5: DO NOW-on NEW handout sheet!! Directions: Write as a mathematical phrase 1.Eight more than a number 2.The difference between ten and seven 3. Two multiplied.](https://reader036.fdocuments.in/reader036/viewer/2022070410/56649ef65503460f94c09464/html5/thumbnails/5.jpg)
Cornell Notes-New Vocab
1) one or more numbers or variables, and
2) one or more arithmetic operations.
Examples:
x - 3
3 • 2n
-A letter that represents a numerical value
-A number that comes directly in front of a variable (attached to it)
• Algebraic expression
• Variable• Coefficient
![Page 6: DO NOW-on NEW handout sheet!! Directions: Write as a mathematical phrase 1.Eight more than a number 2.The difference between ten and seven 3. Two multiplied.](https://reader036.fdocuments.in/reader036/viewer/2022070410/56649ef65503460f94c09464/html5/thumbnails/6.jpg)
In expressions, there are many different ways to write multiplication.
1) ab 2) a • b 3) a(b) or (a)b 4) (a)(b) 5) a x b
We are not going to use the multiplication symbol
any more. Why?
![Page 7: DO NOW-on NEW handout sheet!! Directions: Write as a mathematical phrase 1.Eight more than a number 2.The difference between ten and seven 3. Two multiplied.](https://reader036.fdocuments.in/reader036/viewer/2022070410/56649ef65503460f94c09464/html5/thumbnails/7.jpg)
Division, on the other hand, is written as:
1)
2) x ÷ 3
x
3
![Page 8: DO NOW-on NEW handout sheet!! Directions: Write as a mathematical phrase 1.Eight more than a number 2.The difference between ten and seven 3. Two multiplied.](https://reader036.fdocuments.in/reader036/viewer/2022070410/56649ef65503460f94c09464/html5/thumbnails/8.jpg)
DO NOW-on Weekly sheet!!
Directions: Write as a phrase with words
1)8x
2)4a-6
3)n²
4)5 ÷ (b+1)
![Page 9: DO NOW-on NEW handout sheet!! Directions: Write as a mathematical phrase 1.Eight more than a number 2.The difference between ten and seven 3. Two multiplied.](https://reader036.fdocuments.in/reader036/viewer/2022070410/56649ef65503460f94c09464/html5/thumbnails/9.jpg)
Announcements
• Checking hw-first 5 minutes
• BIG GOAL-up on wall
![Page 10: DO NOW-on NEW handout sheet!! Directions: Write as a mathematical phrase 1.Eight more than a number 2.The difference between ten and seven 3. Two multiplied.](https://reader036.fdocuments.in/reader036/viewer/2022070410/56649ef65503460f94c09464/html5/thumbnails/10.jpg)
ObjectiveStudents will be able to
(SWBAT):
• Write mathematical expressions for verbal expressions, and vice versa
• Use variables in algebraic expressions
![Page 11: DO NOW-on NEW handout sheet!! Directions: Write as a mathematical phrase 1.Eight more than a number 2.The difference between ten and seven 3. Two multiplied.](https://reader036.fdocuments.in/reader036/viewer/2022070410/56649ef65503460f94c09464/html5/thumbnails/11.jpg)
Homework
• Variables and Expressions worksheet #
![Page 12: DO NOW-on NEW handout sheet!! Directions: Write as a mathematical phrase 1.Eight more than a number 2.The difference between ten and seven 3. Two multiplied.](https://reader036.fdocuments.in/reader036/viewer/2022070410/56649ef65503460f94c09464/html5/thumbnails/12.jpg)
Throughout this year, you will hear many words that mean addition, subtraction,
multiplication, and division. Complete the table with as many as you know.
Addition Subtraction Multiplication Division
![Page 13: DO NOW-on NEW handout sheet!! Directions: Write as a mathematical phrase 1.Eight more than a number 2.The difference between ten and seven 3. Two multiplied.](https://reader036.fdocuments.in/reader036/viewer/2022070410/56649ef65503460f94c09464/html5/thumbnails/13.jpg)
Here are some phrases you may have listed. The terms with * are ones that are often
used.
Addition Subtraction Multiplication Division
sum* difference* product* quotient*
increase decrease times divided
plus minus multiplied ratio
add subtract
more than less than
total
![Page 14: DO NOW-on NEW handout sheet!! Directions: Write as a mathematical phrase 1.Eight more than a number 2.The difference between ten and seven 3. Two multiplied.](https://reader036.fdocuments.in/reader036/viewer/2022070410/56649ef65503460f94c09464/html5/thumbnails/14.jpg)
Write an algebraic expression for
1) m increased by 5.m + 5
2) 7 times the product of x and t.
7xt or 7(x)(t) or 7 • x • t
![Page 15: DO NOW-on NEW handout sheet!! Directions: Write as a mathematical phrase 1.Eight more than a number 2.The difference between ten and seven 3. Two multiplied.](https://reader036.fdocuments.in/reader036/viewer/2022070410/56649ef65503460f94c09464/html5/thumbnails/15.jpg)
3) 11 less than 4 times a number.
4n - 11
4) two more than 6 times a number.
6n + 2
5) the quotient of a number and 12.
12
x
![Page 16: DO NOW-on NEW handout sheet!! Directions: Write as a mathematical phrase 1.Eight more than a number 2.The difference between ten and seven 3. Two multiplied.](https://reader036.fdocuments.in/reader036/viewer/2022070410/56649ef65503460f94c09464/html5/thumbnails/16.jpg)
Which of the following expressions represents 7 times a number decreased by 13?
1. 7x + 13
2. 7x - 13
3. 13 - 7x
4. 13 + 7x
Answer NowAnswer Now
![Page 17: DO NOW-on NEW handout sheet!! Directions: Write as a mathematical phrase 1.Eight more than a number 2.The difference between ten and seven 3. Two multiplied.](https://reader036.fdocuments.in/reader036/viewer/2022070410/56649ef65503460f94c09464/html5/thumbnails/17.jpg)
Which one of the following expressions represents 28 less than three times a number? 1. 28 - 3x
2. 3x - 28
3. 28 + 3x
4. 3x + 28
Answer NowAnswer Now
![Page 18: DO NOW-on NEW handout sheet!! Directions: Write as a mathematical phrase 1.Eight more than a number 2.The difference between ten and seven 3. Two multiplied.](https://reader036.fdocuments.in/reader036/viewer/2022070410/56649ef65503460f94c09464/html5/thumbnails/18.jpg)
Weekly SheetDO NOW:
Write an algebraic expression for:
1) Ten less than five times a number
2) The sum of a number and two, squared
3) Twenty more than four times the sum of six and a number
Objective/Learning Goal: SWBAT:
-Translate complex algebraic and verbal expressions
-Create verbal expressions
Homework: Variable and Expression sheet-FINISH!!
![Page 19: DO NOW-on NEW handout sheet!! Directions: Write as a mathematical phrase 1.Eight more than a number 2.The difference between ten and seven 3. Two multiplied.](https://reader036.fdocuments.in/reader036/viewer/2022070410/56649ef65503460f94c09464/html5/thumbnails/19.jpg)
Write a verbal expression for:
1) 8 + a.
The ratio of m to rDo you have a different way of writing these?
The sum of 8 and a
2)
m
r.
![Page 20: DO NOW-on NEW handout sheet!! Directions: Write as a mathematical phrase 1.Eight more than a number 2.The difference between ten and seven 3. Two multiplied.](https://reader036.fdocuments.in/reader036/viewer/2022070410/56649ef65503460f94c09464/html5/thumbnails/20.jpg)
Which of the following verbal expressions represents 2x + 9?
Answer NowAnswer Now
1. 9 increased by twice a number
2. a number increased by nine
3. twice a number decreased by 9
4. 9 less than twice a number
![Page 21: DO NOW-on NEW handout sheet!! Directions: Write as a mathematical phrase 1.Eight more than a number 2.The difference between ten and seven 3. Two multiplied.](https://reader036.fdocuments.in/reader036/viewer/2022070410/56649ef65503460f94c09464/html5/thumbnails/21.jpg)
Which of the following expressions represents the sum of 16 and five times a number?
Answer NowAnswer Now
1. 5x - 16
2. 16x + 5
3. 16 + 5x
4. 16 - 5x
![Page 22: DO NOW-on NEW handout sheet!! Directions: Write as a mathematical phrase 1.Eight more than a number 2.The difference between ten and seven 3. Two multiplied.](https://reader036.fdocuments.in/reader036/viewer/2022070410/56649ef65503460f94c09464/html5/thumbnails/22.jpg)
When looking at the expression 103
Base
Exponent orPower
103
• 10-foundation number; number that is sitting
• 3-number floating in the air
• means 10 • 10 • 10103 = 1000
![Page 23: DO NOW-on NEW handout sheet!! Directions: Write as a mathematical phrase 1.Eight more than a number 2.The difference between ten and seven 3. Two multiplied.](https://reader036.fdocuments.in/reader036/viewer/2022070410/56649ef65503460f94c09464/html5/thumbnails/23.jpg)
How is it said?
21
22
23
2n7
• Two to the first power• Two to the second
power or two squared
• Two to the third power or two cubed
• Two times n to the seventh power
![Page 24: DO NOW-on NEW handout sheet!! Directions: Write as a mathematical phrase 1.Eight more than a number 2.The difference between ten and seven 3. Two multiplied.](https://reader036.fdocuments.in/reader036/viewer/2022070410/56649ef65503460f94c09464/html5/thumbnails/24.jpg)
Which of the following verbal expressions represents x2 + 2x?
Answer NowAnswer Now
1. the sum of a number squared and twice a number
2. the sum of a number and twice the number
3. twice a number less than the number squared
4. the sum of a number and twice the number squared
![Page 25: DO NOW-on NEW handout sheet!! Directions: Write as a mathematical phrase 1.Eight more than a number 2.The difference between ten and seven 3. Two multiplied.](https://reader036.fdocuments.in/reader036/viewer/2022070410/56649ef65503460f94c09464/html5/thumbnails/25.jpg)
Which of the following expressions represents four less than the cube of a
number?
Answer NowAnswer Now
1. 4 – x3
2. 4 – 3x
3. 3x – 4
4. x3 – 4
![Page 26: DO NOW-on NEW handout sheet!! Directions: Write as a mathematical phrase 1.Eight more than a number 2.The difference between ten and seven 3. Two multiplied.](https://reader036.fdocuments.in/reader036/viewer/2022070410/56649ef65503460f94c09464/html5/thumbnails/26.jpg)
Create your own expressionsDirections:
1) By yourself, on a separate sheet of paper: come up with 7 verbal expressions like the ones we have done in class
2) Find a partner/group of three and translate each other’s words into algebraic expressions
3) Trade back and check each other’s work-give a grade!
4) When finished, you may work on the HW sheet
![Page 27: DO NOW-on NEW handout sheet!! Directions: Write as a mathematical phrase 1.Eight more than a number 2.The difference between ten and seven 3. Two multiplied.](https://reader036.fdocuments.in/reader036/viewer/2022070410/56649ef65503460f94c09464/html5/thumbnails/27.jpg)
Evaluate.21
222
2 • 2 = 423
2 • 2 • 2 = 82n7
We can’t evaluate because we don’t know what n equals to!!
![Page 28: DO NOW-on NEW handout sheet!! Directions: Write as a mathematical phrase 1.Eight more than a number 2.The difference between ten and seven 3. Two multiplied.](https://reader036.fdocuments.in/reader036/viewer/2022070410/56649ef65503460f94c09464/html5/thumbnails/28.jpg)
Is 35 the same as 53?Evaluate each and find out!
35 = 3 • 3 • 3 • 3 • 3 = 24353 = 5 • 5 • 5 = 125
243 ≠ 125 They are not the same!