Math Journal 8-20
I make 3 pizzas for my family for dinner. Each pizza is
cut into 8 slices. They eat ¾ of all of them. How
many slices did they eat? How many slices of left
over pizza do I have left?
UNIT 1 DAY 8: VERBAL
MODELING
Essential Questions: How do we translate between
words and algebra?
Vocabulary
Numerical Expression: may contain only
constants and/or operations.
Algebraic Expression: may contain
variables, constants, and/or operations.
Math Keywords
+
Minus, difference, less
Plus, sum, increased
than, decreased, take
by, total, more than,
away (from), how many
combine, altogether
more
Times, product,
multiplied by, by, of,
twice, doubled
x
Divided by, quotient,
separate, go into, half,
equal parts
Example 1
Give two ways to write each algebraic expression in
words.
1)
x+3
the sum of x and 3
x increased by 3
2)
m-7
the difference of m and 7
7 less than m
Example 2
Give two ways to write each algebraic expression in
words.
1)
2•y
2 times y
the product of 2 and y
2)
k÷5
k divided by 5
the quotient of k and 5
Check for Understanding
1. Give two ways to write the algebraic expression 4 - n in words.
a
4 divided by n
the quotient of 4 and n
b
the sum of 4 and n
4 increased by n
c
n decreased by 4
4 less than n
d
4 decreased by n
n less than 4
Check for Understanding
t
2. Give two ways to write the algebraic expression
in words.
5
a
t is subtracted from 5
t less than 5
b
the quotient of t and 5
t divided by 5
c
the quotient of 5 and t
5 divided by t
d
the product of t and 5
t times 5
Check for Understanding
3. Give two ways to write the algebraic expression 9 + q in
words.
a
the sum of 9 and q
q added to 9
b
9 decreased by q
q less than 9
c
9 times q
the product of 9 and q
d
9 divided by q
the quotient of 9 and q
Check for Understanding
4. Give two ways to write the algebraic expression 3(h) in words.
a
h subtracted from 3
h less than 3
b
the product of 3 and h
3 times h
c
h more than 3
h added to 3
d
the quotient of 3 and h
3 divided by h
Example 3
Kudzu is a vine native to Japan. Kudzu can grow half a foot per day
during the summer months. Write an expression that shows how
much a 20-foot kudzu vine can grow in June.
1
Total Growth:
d
2
1
Total Growth:
(30)
2
d = 30 days
The vine will grow 15
feet in June!
Example 4
An Internet service provider charges $9.95/month for service and
charges a one-time activation fee of $19.99. Using m for the
number of months, write an expression that will give us the total
cost after m months.
Total Cost: 9.95m + 19.99
How much will you have spent after 6 months?
m = 6 months
Total Cost: 9.95(6) + 19.99
Total Cost: 59.70 + 19.99
You will have spent
$79.69 after 6 months.
Check for Understanding
5. Which situation is best modeled by the expression 25 - x?
a
George places x more video games on a shelf
with 25 games.
b
Sarah has driven x miles of a 25-mile trip.
c
Amelia paid 25 dollars of an x dollar lunch that
she shared with Ariel.
d
Jorge has 25 boxes full of x baseball cards each.
Check for Understanding
6. Which numerical expression represents x?
x
5
20
a
20 - 5
b
20(5)
c
20 + 5
d
20 ÷ 5
Summary
Essential Questions: How do we translate between
words and algebra?
Use 1 minute to write 2 sentences answering the
essential questions.