Transcript 1.1 - mckenziemath

Five-Minute Check
CCSS
Then/Now
New Vocabulary
Example 1: Write a Verbal Expression
Key Concept: Translating Verbal to Algebraic Expressions
Example 2: Write Algebraic Expressions
Example 3: Real-World Example: Write an Expression
Find the sum of 2.19 + 18.35.
A. 19.44
B. 20.44
C. 20.54
D. 21.54
A.
B.
C.
D.
Find the quotient of 84 ÷ 6.
A. 16
B. 15.3
C. 15
D. 14
A.
B.
C.
D.
Find the perimeter of
the figure.
A. 2.9 m
B. 2.5 m
C. 1.8 m
D. 1.45 m
Find the mean of the following set of data.
15, 23, 18, 17, 8, 20, 16, 23, 17, 18, 25, 15, 13, 19, 17
A. 17
B. 17.6
C. 18
D. 20
Content Standards
A.SSE.1a Interpret parts of an expression,
such as terms, factors, and coefficients.
A.SSE.2 Use the structure of an expression
to identify ways to rewrite it.
Mathematical Practices
4 Model with mathematics.
Common Core State Standards © Copyright 2010. National Governors Association Center for Best Practices and Council of Chief State
School Officers. All rights reserved.
You performed operations on integers.
• Write verbal expressions for algebraic
expressions.
• Write algebraic expressions for verbal
expressions.
• algebraic expression – consists of sums
and/or products of numbers and variables
• Variable – symbols used to represent
unspecified numbers and values
• Term – a number, a variable, or a product or
quotient of numbers and variables (examples:
0.10d, 2x + 4, 3 + z/6, pq 4cd ÷ 3mn)
• 2x + 4 terms that contain a variable are called
variable terms and a term that does not have a
variable are called constant terms
• Factor – quantities being multiplied
• Product – result of multiplication. A raised
dot or parentheses are often used to
indicate a product
• Power – an expression line xn
• Exponent – indicates the number of times
the base is used as a factor
• Base – the number that is being multiplied
Write Verbal Expressions
A. Write a verbal expression for 8x2.
Answer: eight times x squared
Write Verbal Expressions
B. Write a verbal expression for y5 – 16y.
Answer: the difference of y to the fifth power and
16 times y
• Write a verbal expression for each
algebraic expression
1) 3x4
three times x to the fourth power
2) 5z2 + 16
5 times z to the second power plus sixteen
3) 16u2 – 3
16 times u squared minus 3
4) ½ a + 6b/7
One half of a plus the quotient of 6 times b
and 7
A. Write a verbal expression for 7a4.
A. 7 times a
B. 7 times the product of 4 and a
C. 7 times a to the fourth power
D. 4 times a to the seventh power
B. Write a verbal expression for x2 + 3.
A. the sum of 3 and x
B. the product of x squared and 3
C. the sum of x and 3 squared
D. the sum of x squared and 3
Write Algebraic Expressions
A. Write an algebraic expression for 5 less than a
number c.
The words less than suggest subtraction.
a number c
less
five
c
–
5
Answer: Thus, the algebraic expression is c – 5.
Write Algebraic Expressions
B. Write an algebraic expression for 9 plus the
product of 2 and d.
Plus implies add, and product implies multiply.
Answer: The expression can be written as 9 + 2d.
Write Algebraic Expressions
C. Write an algebraic expression for two fifths of
the area a.
The word of implies multiply.
• Write an algebraic expression for each verbal
expression
1) A number t more than 6
t+6
2) 10 less than the product of 7 and f
7f – 10
3) Two thirds of the volume v
2/3v
This expression can also be written 2v/3
A. Write an algebraic expression for nine more than
a number h.
A. 9 – h
B. 9h
C. 9 + h
D. h – 9
B. Write an algebraic expression for the difference of
6 and 4 times a number x.
A. 6 – 4x
B. (6 – 4) + x
C. 6 + 4x
D. 6x – 4
C. Write an algebraic expression for one half the size
of the original perimeter p.
A. 2p
B.
C.
p2
D. p
Write an Expression
ENTERTAINMENT Mr. Nehru bought two adult
tickets and three student tickets for the planetarium
show. Write an algebraic expression that
represents the cost of the tickets.
Let a be the cost of each adult ticket and c be the cost
of each student ticket. The cost of the adult tickets is
represented by 2a and the cost of the student tickets is
represented by 3c.
Answer: The cost of the tickets is represented by
2a + 3c.
• Mr. Martinez orders 250 key chains printed
with is athletic team’s logo and 500 pencils
printed with their Web address. Write an
algebraic expression that represents the
cost of the order.
• Let k be the cost of each key chain and p
be the cost of each pencil. Then the cost of
the key chains is 250k and the cost of the
pencils is 500p.
• The cost of the order is represented by
250k + 500p
• Katie estimates that 1/8 of the people who
order beverages also order pastries. Write
an algebraic expression to represent this
situation.
• 1/8b + b
MONEY Lorenzo bought a bag of peanuts that
cost p dollars and he gave the cashier a $20 bill.
Write an expression for the amount of change that
he will receive.
A. 20 – p
B. p – 20
C. 20 + p
D. 20  p
• Review of Lesson
Write a verbal expression for each algebraic
expression
1) 2/3r4
Two thirds of r to the fourth power
2) a2 – 18b
A squared minus 18 times b
3) 2m
Two times m
• Write an algebraic expression for each verbal
expression.
1) The sum of a number and 14
n + 14
2) 6 less a number
n–6
3) 1 minus the quotient of r and 7
1 – r/7
4) Two fifths of the square of a number j
2/5j2
5) Mr. Bailey purchased some groceries that
cost d dollars. He paid with a $50 bill. Write an
expression for the amount of change he will
receive.
50 – d
6) Jocelyn makes x dollars per hour working at
the grocery store and n dollars per hour
babysitting. Write an expression that describes
her earnings if she babysat for 25 hours and
worked at the grocery store for 15 hours.
25n + 15x