warm up evaluate each expression for x = 9. 1. 7 + x 2. 4 x 3. 2 x + 1 4. 36
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Warm Up Evaluate each expression for x = 9. 1. 7 + x 2. 4 x 3. 2 x + 1 4. 36 . 16. 36. 19. 4. x. Objective write verbal phrases as simple algebraic expressions . Common Core State Standards. In word problems, you may need to translate words to math. Put together or combine. - PowerPoint PPT PresentationTRANSCRIPT
Course 1
2-2 Translate Between Words and Math
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Warm UpEvaluate each expression for x = 9.
1. 7 + x2. 4x3. 2x + 14. 36
Course 1
2-2 Translate Between Words and Math
Objective write verbal phrases as simple algebraic expressions.
Common Core State Standards6.EE.2 Write, read, and evaluate expressions in which letters stand for numbers.
6.EE.2a Write expressions that record operations with numbers and with letters standing for numbers. For example, express the calculation “Subtract y from 5” as 5 – y.
6.EE.2c
Evaluate expressions at specific values of their variables. Include expressions that arise from formulas used in real-world problems. Perform arithmetic operations, including those involving whole-number exponents, in the conventional order when there are no parentheses to specify a particular order (Order of Operations). For example, use the formulas V = s3 and A = 6 s2 to find the volume and surface area of a cube with sides of length s = 1/2.
6.EE.6Use variables to represent numbers and write expressions when solving a real-world or mathematical problem; understand that a variable can represent an unknown number, or, depending on the purpose at hand, any number in a specified set.
Course 1
2-2 Translate Between Words and Math
In word problems, you may need to translate words to math.
Action OperationPut together or
combineFind how much
more or lessPut together groups
of equal partsSeparate into equal
groups
Add
Subtract
Multiply
Divide
Course 1
2-2 Translate Between Words and Math
37 + 28• 28 added to 37• 37 plus 28• the sum of 37 and 28• 28 more than 37
• 28 added to x• x plus 28• the sum of x and
28• 28 more than x
x + 28
+Operation
Numerical Expression
Words
Algebraic Expression
Words
There are several different ways to write math expressions with words.
Course 1
2-2 Translate Between Words and Math
• 12 subtracted from k• 12 minus k• the difference of k and 12• take away 12 from k
k — 12
Operation
Numerical Expression
Words
Algebraic Expression
Words
90 — 12
• 12 subtracted from 90• 90 minus 12• the difference of 90 and 12• 12 less than 90• take away 12 from 90
Course 1
2-2 Translate Between Words and Math
• 8 times w• w multiplied by 8• the product of 8 and w• 8 groups of of w
8 w or (8)(w) or 8w
Operation
Numerical Expression
Words
Algebraic Expression
Words
8 48 or 8 48
• 8 times 48• 48 multiplied by 8• the product of 8 and 48
or (8)(48) or
8(48) or (8)48
Course 1
2-2 Translate Between Words and Math
• n divided by 3• the quotient of n and 3
n 3 or
Operation
Numerical Expression
Words
Algebraic Expression
Words
327 3 or
• 327 divided by 3• the quotient of 327 and 3
3273
n3
Course 1
2-2 Translate Between Words and Math
Lake Superior is the largest lake in North America. Let a stand for the area in square miles of Lake Superior. Lake Erie has an area of 9,910 square miles. Write an expression to show how much larger Lake Superior is than Lake Erie.
Additional Example 1A: Social Studies Application
To find how much larger, subtract the area of Lake Erie from the area of Lake Superior.
a – 9,910 Lake Superior is a – 9,910 square miles larger than Lake Erie.
Course 1
2-2 Translate Between Words and Math
Let p represent the number of colored pencils in a box. If there are 26 boxes on the shelf, write an algebraic expression to represent the total number of pencils on the shelf.
To put together 26 equal groups of p, multiply 26 times p.
26p, or 26 • p
There are 26p pencils on the shelf.
Additional Example 1B
Course 1
2-2 Translate Between Words and Math
The Nile River is the world’s longest river. Let n stand for the length in miles of the Nile. The Paraná River is 3,030 miles long. Write an expression to show how much longer the Nile is than the Paraná.
Check It Out: Example 1A
To find how much longer, subtract the length of the Paraná from the length of the Nile.
n – 3,030 The Nile is n – 3,030 miles longer than the Paraná.
Course 1
2-2 Translate Between Words and Math
Check It Out: Example 1BLet p represent the number of paper clips in a box. If there are 125 boxes in a case, write an algebraic expression to represent the total number of paper clips in a case.
To put together 125 equal groups of p, multiply 125 times p.
125p or 125 • p
There are 125p paper clips in a case.
Course 1
2-2 Translate Between Words and Math
Write each phrase as a numerical or algebraic expression.
Additional Example 2: Translating Words into Math
A. 987 minus 12987 12
B. x times 4545 • x or 45x
C. 42 less than 79
D. y divided by 22
y 22 or y22
79 42
Course 1
2-2 Translate Between Words and Math
B-412f
S+8
3+4p
Course 1
2-2 Translate Between Words and Math
GAME TIME!
On an index card, write your own word problem. Your word problem must generate
an algebraic expression.
Use Example 2 as your model.
We will play a game to solve the class’s problems. The more difficult and global your
problem is, the more points you will earn!
Course 1
2-2 Translate Between Words and Math
Course 1
2-2 Translate Between Words and Math
Course 1
2-2 Translate Between Words and Math
Course 1
2-2 Translate Between Words and Math
Course 1
2-2 Translate Between Words and Math
1. Let x represent the number of minutes Kristen works out in one week. Write an expression for the number of minutes she works out in 4 weeks.
Exit Ticket
Write each phrase as a numerical or algebraic expression. 2. 7 less than x
3. The product of 12 and w
4x
x 7
12w
Define a variable and write an algebraic expression. 4. Six years less than Tracy’s age. t 6; t is Tracy’s age