S
• Sit and organize materials.
•Sit in your assigned seat.
DATE
September 19, 2013
• Examine and follow directions:
E
•Review your Learning Goal:
•Students will be able to write expressions and equations with variables.
• Take the Challenge!
T
•Challenge Question: What is a variable and how does it relate to algebraic
expressions and equations?
READY TO LEARN TIME
10 Minutes
Expression
vs.
Equation
x+9
r + 7 = 30
g–6
y – 9 = 15
2+k
9 + p = 94
12y
15t = 45
14 ÷ w
15 ÷ w = 5
Notice any similarities and/or differences?
Algebraic Expression
Algebraic Expressions
O An expression that
contains a number,
operation, and
variable.
Example
O 5n
O 5+x
O x÷6
O 4𝑛
O 𝑛3
Algebraic Equation
Algebraic Equations
O Math statement that
contains one or more
variables and says
that two amounts are
equal. (Must contain
a number, operation,
and variable)
Example
O r+7=15
O 5n=45
O x÷6=2
O 2s-1=5
Directions: Write each math term under the operation with which it is associated.
Math Terms:
Plus
Minus
Times
Product
Less than
Sum
Addition (+)
Quotient
Difference
More than
Total
Combined
Twice
Subtraction (-)
Divided by
Together
Decreased by
Increased by
Added to
Fewer than
Multiplication
(·)
Division ()
Addition (+) Subtraction (-) Multiplication Division ()
(·)
Plus
The sum
of
Increased
by
Total
Added to
More than
Combined
Minus
Less than
The
difference of
Fewer than
Decreased
by
Subtracted
from
Times
product
Multiplied
by
Of
Twice
The
quotient
Divided by
Separate
into equal
parts
Write exactly how you say it…
Operation
+
-
·
/
Expression
x + 20
x – 15
3x
x÷4
x minus 15
3 times x
x decreased by 15
the product of 3 and
x
x plus 20
Words
x increased by
20
the sum of x and
20
Operation
+
Expression
x + 20
Words
20 added to x
20 more than x
the difference of x
and 15
3 groups of x
Write opposite of how you say it…
x divided by 4
the quotient of x
and 4
-
·
/
x – 15
3x
x÷4
15 subtracted from x
15 less than x
take away 15 from x
x multiplied by 3
Tic-Tac-Relate
O Choose nine of the answer choices from the overhead
and write one answer in each square on your game card.
You can place the answer choices in any square that you
wish.
O When a problem is placed on the overhead, show your
work in your box for the problem. You can use pictures
to model the equations or write a word expression or
equation to help. You must show your work.
O If the answer is on your game board, mark it with an x.
O The first person to cover three squares in a row either
vertically, horizontally or diagonally wins the game.
When you cover three in a row raise your hand, and a
teacher will check your work and answers.
A.Tt-15=150+35
A. t-15=150+35
H. (4x3+15)÷3
B. 150 – 35 = t +15
I. (3 x 1.75) + (2 x 0.75) + P. s=54÷6
O. t=3(12.50)-3(1.26)
1.25 + 0.50r = m
C. C = (2x6) + (3x3) + J. X= 35 – (4x3) + 5
0.05v
Q. p=4(25-w)
D. n ÷ 5 =65
K. n=156÷3
R. 40-m=n
E. C - 10=130
L. C=2x3+4g
S. s=10k+6(5)
F. (4x2) + 2d + (6x3)
M. l=20÷4
T. (12x7)+10=t
G. 2x (0.75+1.75) +
0.50r=m
N. t=(7x12)-10
1. Mr. Sullivan handed out 54 sheets of graph
paper equally among 6 groups of students.
Which equation can be used to find s, the
number of sheets of paper each group
received?
a)
b)
c)
d)
s=54÷6
s=54-6
s=54∙6
s=54+6
2. Kaitlin found the perimeter of a square to be
20 inches. Which of the following could be
used to find l, the length of one edge of the
square?
a)
b)
c)
d)
l=4∙20
l=20÷4
l=4+20
l=20-4
3. On a spelling test Carlos had to spell 25
words. He earned 4 points for every word he
spelled correctly. Which equation can be
used to find p, the total number of points
Carlos earned for spelling words correctly?
a)
b)
c)
d)
p=w(25-4)
p=4(25-w)
p=4w
p=4+w
4. At a movie theater adult tickets cost $10, and
child tickets cost $6. Which equation can be
used to find s, the total number of dollars a
family of k adults and 5 children would pay
for the movie tickets?
a)
b)
c)
d)
s=10k+6(5)
s=6k+10(5)
s=(10+6)∙(k+5)
s=10k-6(5)
5. On Saturday, Ricardo drank a total of 40 fluid
ounces of water. If he drank m fluid ounces
of water that morning, which equation can
be used to find n, the number of fluid ounces
of water he drank the rest of the day?
a)
b)
c)
d)
40+m=n
40÷m=n
40xm=n
40-m=n
6. Sandy bought 3 shirts that were originally
priced at $12.50 each. Each shirt was on sale
for $1.26 off the original price when David
bought them. Which equation can be used
to find t, the total sale price of the 3 shirts?
a)
b)
c)
d)
t=12.50-1.26
t=3(12.50)-1.26
t=3(12.50)-3(1.26)
t=3(1.26)-3(12.50)
7. Three teachers rent movies to show students
during a movie day. They rent 4 movies for
$3 each and spend $15 on refreshments.
They split these costs evenly. Which
expression can be used to find the amount,
in dollars, each teacher should pay?
8. You go bowling with a friend. A game of
bowling costs $4 for 2 people. You each rent
shoes for $3. Which equation can be used to
find c, the cost in dollars, of bowling g
games?
9. David weighs 10 pounds less than his friend
Chuck. David weighs 130 pounds. Write an
equation that shows how much Chuck
weighs?
10.Craig is thinking of a number. If you divide
Craig’s number by 5 the result is 65. Write an
equation for the number that Craig is
thinking of?
11.Emily went to the zoo with her family. Adult
tickets cost $6 each and student tickets are
$3 each. Both of Emily’s parents went to the
zoo along with her 2 siblings. They also
bought food to feed the animals for a small
vending cost $0.50 each time, how much
money did Emily’s family spend at the zoo?
12.Fifteen of the tickets printed for a raffle were
not sold. One hundred fifty tickets were sold
by students, and 35 tickets were sold by
teachers. Write an equation describing how
many tickets were printed.
13.Daniel went to the fair. Daniel bought 3 hot
dogs at $1.75 each, 2 drinks at 75 cents each,
and cotton candy for $1.25. Which equation
can be used to determine m, the amount of
money Daniel spent at the fair if he also rode
r rides that cost $0.50 each?
14.Gus has three times the number of match
box cars in his collection as Jake has in his.
Gus has 156 cars. How many cars does Jake
have?
15.Hunter is getting ready for a marathon. He
runs 4 miles two days a week, 6 miles 3 days
a week and runs a longer distance the rest of
the week. Write an expression for how far
Hunter runs each week?
16.Olivia has 35 CDs. She gives 4 of her friends
3 CDs each. Then she gets 5 new CDs for her
birthday. Write an equation for how many
CDs Olivia has now?
17.Harold collects stamps. He bought a bag of
stamps that contained 150 stamps and 35 of
them were damaged. He threw away the
damaged stamps which left him with 15
more stamps than there were spaces for in
his album. Which equation could be used to
find t, the number of spaces in his album?
18.Mr. Jones is placing an order for some of his
school supplies. He needs to buy two
packages of note cards at $0.75 each and two
packages of markers at $1.75 each. He will
also buy r red pens that cost $0.50 each.
Which equation can be used to find m, the
amount that Mr. Jones will spend?
19.Kavya set out 7 rows of vegetable plants in
her garden. There were 12 plants in each
row. She realized it would be too crowded if
she planted all of them. She removed 10
plants and gave them to her neighbor. Write
a number sentence that can be used to find t,
the total number of plants in her garden.
20.Tyrone is playing a card game. He has 7 rows
of cards with 12 cards in each row. He has a
pile left with 10 cards in it. Write a number
sentence that can be used to find t, the total
number of cards that Tyrone had to start.
Explain
O Explain how the number sentences
represent the problems.
UPS Check
Understand the problem:
• Write important information and
numbers.
Plan how to solve the problem:
• What type of problem is it? (Addition,
Subtraction, etc..)
• What will I do with the numbers?
Solve the problem:
• Write an equation and solve it.
Check your answer:
• Check that you solved the problem
correctly.
UPS Check
Mr. Johnson's class has 21 students. If the seven of his students are absent due to
heavy rainfall on a particular day, how many students does he have in his class on
that day?
U-Understand the problem.
P-Plan how to solve the problem.
S-Solve the problem.
Check your answer.
Evaluate
Definition
O Simplifying an
expression down to a
single numerical
value. Aka solve it
Example
O 50÷5 can be
simplified to 10.
Variable
Definition
O Variable- letter that
represents a quantity
that can change.
Example
O
Could be any letter: n, x, y, h, a,
etc.. The x in x+5
O
Which of these expressions are
algebraic expressions?
O
____ + 5
O
O
+5
x+5
Constant
Definition
O A quantity that does
not change.
Example
O For the expression
x÷5, ÷5 is the
constant.
Patterns
Definition
O Things that are
arranged following a
rule or rules.
Example
O There is a pattern in
these numbers: 2, 7,
12, 17, 22, ... The
rule is "start at 2 and
add 5 each time."
W
R
A
P
• Write homework assignments in planner.
Date
September 18, 2013
• Return and/or organize supplies.
• Assess how well you worked in a group or individually:
•Did I/we maintain operating standards?
•Did I/we work toward learning goals?
•Did I/we complete tasks?
• Prepare to transition.
READY TO EXIT TIME:
5 Minutes