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
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
Objective
Students will be able to
(SWBAT):
• Write mathematical expressions for
verbal expressions, and vice versa
• Use variables in algebraic
expressions
Homework
• Variables and Expressions worksheet #
Cornell Notes-New Vocab
• Algebraic expression 1) one or more numbers or
variables, and
2) one or more arithmetic
operations.
Examples:
x-3
3 • 2n
-A letter that represents a
• Variable numerical value
• Coefficient -A number that comes directly in
front of a variable (attached to
it)
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) axb
We are not going to use the multiplication symbol
any more. Why?
Division, on the other hand, is
written as:
1) x
3
2) x ÷ 3
DO NOW-on Weekly sheet!!
Directions: Write as a phrase with words
1) 8x
2) 4a-6
3) n²
4) 5 ÷ (b+1)
Announcements
• Checking hw-first 5 minutes
• BIG GOAL-up on wall
Objective
Students will be able to
(SWBAT):
• Write mathematical expressions for
verbal expressions, and vice versa
• Use variables in algebraic
expressions
Homework
• Variables and Expressions worksheet #
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
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
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
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.
x
12
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 Now
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 Now
Weekly Sheet
DO NOW: Objective/Learning
Write an algebraic Goal: SWBAT:
expression for: -Translate complex
1) Ten less than five algebraic and verbal
times a number expressions
2) The sum of a number -Create verbal
and two, squared expressions
3) Twenty more than Homework: Variable
four times the sum of and Expression sheet-
six and a number FINISH!!
Write a verbal expression for:
1) 8 + a.
The sum of 8 and a
2) m
.
r
The ratio of m to r
Do you have a different way of writing
these?
Which of the following verbal expressions
represents 2x + 9?
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
Answer Now
Which of the following expressions represents
the sum of 16 and five times a number?
1. 5x - 16
2. 16x + 5
3. 16 + 5x
4. 16 - 5x
Answer Now
When looking at the expression
103
• 10-foundation
Base number; number that
is sitting
Exponent or
• 3-number floating in
Power the air
• means 10 • 10 • 10
103 103 = 1000
How is it said?
• Two to the first power
21 • Two to the second
22 power or two squared
23 • Two to the third power
or two cubed
2n7 • Two times n to the
seventh power
Which of the following verbal expressions
represents x2 + 2x?
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
Answer Now
Which of the following expressions
represents four less than the cube of a
1. 4 – x 3 number?
2. 4 – 3x
3. 3x – 4
4. x3 – 4
Answer Now
Create your own expressions
Directions:
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
Evaluate.
21
2
22
2•2=4
23
2•2•2=8
2n7
We can’t evaluate because we don’t
know what n equals to!!
Is 35 the same as 53?
Evaluate each and find out!
35 = 3 • 3 • 3 • 3 • 3 = 243
53 = 5 • 5 • 5 = 125
243 ≠ 125
They are not the same!