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

ObjectiveStudents 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

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

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?

Division, on the other hand, is written as:

1)

2) x ÷ 3

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

ObjectiveStudents 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.

12

x

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

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

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!!

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.

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

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

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

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

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

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

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

Evaluate.21

222

2 • 2 = 423

2 • 2 • 2 = 82n7

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 = 24353 = 5 • 5 • 5 = 125

243 ≠ 125 They are not the same!