Word Problems: Lesson A Translating Words to Math

Word Problems: Lesson A Translating Words to Math

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Lesson A: Translating Words to Math

Objective:

I can translate words to mathematical operations and relationships.

Translating Operations

Operations include: Add, Subtract, Multiply, Divide, Exponents and Roots.

Fill in your graphic organizer of the 4 basic functions

Beyond the 4 basic operations...

Parenthesis

• Usually includes the word "of" or "between"

• times the sum/difference of...

• times the difference between ...

• the square of ...

• The quantity of ...

Exponents/Roots

• Are usually defined by their specific words

• Squared = x²

• Cubed = x³

• Find the side of a square with area ... area implies a quantity squared, to undo it you will take the square root.

• Likewise volume implies a quantity cubed. To undo it take the cube root

Let try a few...

Select the operation indicated in each problem

Multiple Choice

A used mountain bike costs $79.95. A new one costs $229.95. How much money is saved buying a used bike?

• Add

• Subtract

• Multiply

• Divide

• parenthesis

Multiple Choice

Hank is on a field trip. He has to travel 56 miles to get to his destination. He has traveled 18 miles so far. What portion of his trip has he traveled?

• Add

• Subtract

• Multiply

• Divide

• parenthesis

Multiple Choice

The goal of the School Bake Sale is to raise $125 more than last year’s sale. Last year the Bake Sale raised $320. What is the goal this year?

• Add

• Subtract

• Multiply

• Divide

• parenthesis

Multiple Choice

To calculate the tip Karen multiplies the sum of the items by 20%. What is the tip?

• Add

• Subtract

• Multiply

• Divide

• parenthesis

Relationship Symbols

Am I solving an EQUATION or an INEQUALITY?

Complete the Graphic Organizer

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Let try a few...

Select the relationship indicated in each problem

Multiple Choice

Juan has no more than $50 to spend at the mall. He wants to buy a pair of jeans and some juice. If the sales tax on the jeans is 4% and the juice with tax costs $2, what is the maximum price of jeans Juan can afford?

• equal

• greater than

• less than or equal to

• greater than or qual to

• less than

Multiple Choice

A paver brick is a square with sides of x feet in length. A gardener is using the pavers for the border of the custom garden shown. The perimeter of the garden is 100 feet. What is the length of the 4th side?

• equal

• greater than

• less than or equal to

• greater than or qual to

• less than

Multiple Choice

Alexis is saving and will need a minimum of $1,100. So far she has saved $400. She makes $12 an hour babysitting. What’s the least number of hours she needs to work in order to reach her goal?

• equal

• greater than

• less than or equal to

• greater than or qual to

• less than

In addition, you should have these formulas ...

This handout is available on google classroom

And KNOW some basic life facts

• Time: Days in a week and year. Weeks in a year, Hours in a day, minutes in an hour, seconds in a minute

• Distance: Inches in a foot, feet in a yard, feet in a mile

• and other basic measures

• Number words:  a "dozen" is twelve; a "score" is twenty, a "lot" is 100

• Calculation words: Perimeter, area, surface area, volume

Lets Try Some

Multiple Choice

Ounces in a cup

• 4

• 8

• 2

• 10

Multiple Choice

How many ounces are in a pound?

• 10
• 16
• 12
• 100

Multiple Choice

1 yd = ___ ft

• 3 ft

• 4 ft

• 6ft

• 12 ft

Multiple Choice

How many minutes are in a 1/2 hour?

• 30
• 60
• 45
• 15

Multiple Choice

There are _____ seconds in a minute?

• 30
• 12
• 60
• 24

Multiple Choice

There are how many days in a year?

• 30
• 7
• 245
• 365

Multiple Choice

How many days are in a week?

• 5
• 12
• 7
• 2

Multiple Choice

How many feet are in a mile?

• 4268

• 5280

• 3600

• 5820

Multiple Choice

How many pints make a quart?

• 2
• 4
• 6
• 8

For additional assistance visit

https://www.purplemath.com/modules/translat2.htm