1. Writing Algebraic Expressions

2. d a c b Warm Up-Matching 1) 2) 3) 4) a) the product of 9 and 3
OBJECTIVE: SWBAT write an algebraic expression from a written expression.
LANGUAGE OBJECTIVE: SWBAT discuss the difference between algebraic and written expressions.
Choose the numerical expression that best matches each written expression.
Numerical Expression
Written Expression d 1) 2) 3) 4)
a) the product of 9 and 3
b) 9 subtracted by 3
c) 9 divided by 3
d) the sum of 3 and 9 a c b

3. Launch-Operations to Words
Directions: Put each word from the list into the operation’s box that it most likely expresses.
plus
difference
less than
Addition
Subtraction
Multiplication
Division
factors
decreased by
times
ratio
increased by
separate
minus of
sum
product
multiplied
less
more than
in all .
divided
quotient
per
subtract
each
twice

4. Launch- PC User more than plus increased by sum in all Addition
Click each word to place it in the correct operation
Directions: Put each word from the list into the operation’s box that it most likely expresses.
plus
difference
less than
more than
Addition
Subtraction
Multiplication
Division
plus
factors
increased by
decreased by
sum
times
in all
ratio
increased by
minus
difference
separate
decreased by
less than
minus of
subtract
less
sum
product
times
product
factors
multiplied
less
twice of
multiplied
more than
each
in all
divided
divided
quotient
quotient
per
separate
per
subtract
ratio
each
twice

5. The product of ten and seven.
Explore-Mini Lesson
Write the following as a
numerical expression.
The product of ten and seven. or
The product of ten and five. or
The product of ten and a number.
VARIABLE
Think…what can we use to represent a number when we don’t know the number?
Click to reveal next part

6. Variable: a letter or symbol that represents an unknown quantity.
Explore- Mini Lesson
Variable: a letter or symbol that represents an unknown quantity.
Now, for my next trick, I will introduce a new way to write multiplication.
Write as a algebraic expression.
The product of ten and a number.
A number written next to a variable means multiplication.

7. Vocabulary Explore- Mini Lesson
This new expression, 10n, is called an Algebraic Expression.
Why do mathematicians call them Algebraic Expressions?
Vocabulary
Algebraic Expression: an expression containing at least one variable.
Numerical Expression: an expression containing one or more numbers and operations.
Click to reveal next part

8. Vocabulary Explore- Mini Lesson
Written Expression: an expression written with words.
The sum seventeen and number
Three times the difference of nine and seven
Variable: any letter in the alphabet or symbol that represents an unknown quantity.

9. Write an algebraic expression for the problems below.
Practice- Whole Class
Write an algebraic expression for the problems below.
Important!!!!
Identify the
operation(s) by underlining key words.
a) The sum of ten and a number.
b) The quotient of a number and twelve.
c) Eleven decreased by five times a number.

10. Practice- Partners
Name ________________ Date ___________
Class Work: Written Expressions vs. Algebraic Expressions
Directions: Match the written expressions in Column A with the algebraic expressions in Column B.
COLUMN A
COLUMN B
The sum of a number and ten
Ten divided by a number
Eight less than twice a number
The product of ten and a number increased by eight
The quotient of a number and eight
Ten decreased by three times a number
The product of eight and a number
Eight increased by a number

11. Practice- Summary
Class Work: Written Expressions vs. Algebraic Expressions
Directions: Match the written expressions in Column A with the algebraic expressions in Column B.
COLUMN A
COLUMN B
The sum of a number and ten
The product of ten and a number increased by eight
The quotient of a number and eight
Ten divided by a number
Eight less than twice a number
The product of eight and a number
Ten decreased by three times a number
A number decreased by ten
Eight increased by a number
Ten more than twice a number

12. Assessment- Exit Slip Directions:
1) Write your own algebraic expression using n, 3, 5. You must use at least 2 operations.
2) Translate your algebraic expression into a written expression. 3)
3) Turn and Talk: Read your written expression to your partner. Have your partner write the algebraic expression. Switch roles.