Transcript Translate Expressions

Expressions to Phrases
“The Language of Math”
The purpose of this lesson is to provide a
link between Language and Math.
 To do this effectively, we must be able to
translate words in mathematical
expressions.

What is our purpose?????
Vocabulary

Variable: a letter that stands for a value

Algebraic expression: a mathematical sentence
with at least one variable- Know what it represents!

Numerical expression: a mathematical sentence
with only numbers and operation symbols

Translating Expressions: writing algebraic
expressions from word phrases.
This lesson focuses on using language to create
algebraic expressions.
Words show us what operation to use.
What do you think of when you hear
 Sum?
 Difference?
 In all?
 More than?
 What is your objective today???
We are using language to create math.
. . . . language and math????
__________________________________________
Phrase
Operation
Three dollars more than the Addition
cost c
Write it . . . .
3+c
Look for words that show the operation
Twelve pencils decreased
Subtraction
we should use.
We will write an
12 - n
expression
for
each
example.
by a number n
Let’s try this set together.
We are
words and writing
Five times a distance
d taking
Multiplication
5d
expressions!
a apples divided by 4
Division
Five less than 3 times an
amount x
Multiplication and
subtraction
𝑎÷4
3𝑥 − 5
a
4
__________________________________________
Certain words mean certain operations.
Operation
Say it . . . . .
Write it . . . . .
The total of 8 and a number
5 more than a number
A number increased by 12
The sum of 4 and a number
8+n
Addition words:
total
more than
increased by
the sum of
5+n
n + 12
4+ n
Multiplication words:
the product of
times
groups of
The product of 4 and a
number
6 times a number
5 groups of 7
4n
The quotient of 12 and a
number
A number divided by 8
12÷ n
6n
5 (7)
Division words:
quotient * (order
matters!!!!)
Divided by
n÷ 8
n
8
There are more . . . .
Subtraction words
SAME ORDER . . . .
difference in
decreased by
minus
take away
THIS IS A BIG DEAL!!!!
The difference in 12 and a
number
A number decreased by 5
7 minus a number
4 take away 3
12 - n
n-5
7- n
4-3
More??
Backwards words . .
less than
fewer than
subtracted from
More??
5 less than 7
7-5
n-9
9 fewer than a number
A number subtracted from 12
12 - n
Complete these as you discuss the work with
your group.
t - 22
1. The difference of a number t and 22___________
m + 18
2. m bicycles added to 18 bicycles _________________
11n
3. 11 times a number____________________
5g - 4
4. 4 less than 5 times a number g______________
y
5. What is the variable in 8y? ___________________
6. n more students than the 8 students in each of the three rows
8(3) + n
________________________
4m
½ p or
𝒑
𝟐
l-4
5c + 12
+
+
+
$3.50 + 3d
$3.50 + 3(1.50) = total
$3.50 + $4.50 = $8.00
Melinda goes bowling on Saturday afternoons. She bowls
three games and pays for shoe rental.
What happens when she goes bowling???
She rents shoes. She bowls three games.
We are given the amount for her shoe rental on the chart. Let’s use g for
games.
2 + ??????
2 + 3g
or 3g + 2
2 + 3(4)
2 + 12 = $14
We wrote phrases for algebraic
expressions.
 We translated expressions into phrases.


Tonight’s homework will practice this skill!
Will we use this???
Absolutely! This year you will learn to write expressions
that represent the problems you are solving!
“Listen” to the words you are
given in your work this year……words
tell you the operation you need to
find your solutions!