MATH WORKSHOPMATH WORKSHOPBYMARGO HERNANDEZDISTANCE LEARNING SUPERVISORNISD ADULT EDUCATION

SOLVING WORD SOLVING WORD PROBLEMSPROBLEMSOrganize the word problem into

steps1.Read the problem, carefully2.Underline all math facts, leaving

out information/numbers which are not useful

3.Draw a picture of the problem4.Write a number sentence5.Solve the sentence

Basic Word Problem Set 1Basic Word Problem Set 1Let’s do this basic word problem togetherBrad has 3 violet shirts and 1 red shirt.

How many shirts does Brad have total?

Now try this one on your ownTo get to Jill's house, you need to first go 3

miles on 2nd Street. You then turn on 4th Street for 4 miles and you will read Jill's house. How far in all is it to Jill's house?

KEY + WORDS: Both, Altogether, In all, Total, Sum, Increased by

Basic Word Problem Set 2Basic Word Problem Set 2A set of drapes requires 23 yd of material. The

drape maker has 10 yd of material. How much more material is needed?

It is 134 miles from Los Angeles to San Diego. A driver has gone 90 miles of the trip. How much farther does the driver have to go?

KEY - WORDS: Many more, Much moreMuch _______er (shorter, longer, fatter, hotter, taller...)Left, Less, Change, Difference, Fewer, Decreased by, More than, Farther than

Basic Word Problem Set 3Basic Word Problem Set 3 A jogger runs 4 mi on each of 8 days. How many

miles are run in all?

A band is arranged rectangular in 12 rows with 20 members in each row. How many people are in the band?

KEY x WORDS: Per, Each, Groups, Set, Product, Times, Twice

Basic Word Problem Set 4Basic Word Problem Set 4A candy factory made 176 lb (pounds) of

chocolates. They put them in 4 lb boxes. How many boxed did they fill?

A family divides an inheritance of $184,000 among its children, giving each of them $23,000. How many children are there?

KEY (division) WORDS: Quotient, Split, Divided by, Given an amount of many and finding one, when sharing, cutting, splitting

Basic Word Problem Set 5Basic Word Problem Set 5Ty Cobb hit 3052 singles in his career.

Stan Musial hit 2641. How many did they hit together?

It takes Venus 225 days to rotate about the sun. It takes the earth 365 days. How much longer does it take the earth?

You wrote checks of $45, $78, $and $32. Your balance before that was $246. What is your new balance?

A customer buys 8 suits at $195 each and 3 shirts at $26 each. How much is spent?

How many 16 oz bottles can be filled with 608 oz of catsup?

SOLVING PROBLEMSSOLVING PROBLEMSFAMILIARIZE yourself with the

situation. If it is described in words, read carefully. In any case, think about the situation. Draw a picture whenever it makes sense to do so. Choose a letter, or variable, to represent the unknown quantity. To be solved for.

TRANSLATE the problem to an equation.

SOLVE the equation.CHECK the answer in the original

wording of the problemSTATE the answer to the problem

clearly with appropriate units.

Solving Problem ExampleSolving Problem ExampleThe John Hancock Building in

Chicago is 1107 ft tall. It has two 342 ft antennas on top. How far are the tops of the antennas from the ground?

Solving Problem Solving Problem JOHN HANCOCK BUILDINGJOHN HANCOCK BUILDINGFAMILIARIZE: make a drawing Height of the

antenna is 342 ft

Height of building 1107 ft

What is the height of top of the

antennas from the ground? h

Solving Problem Solving Problem JOHN HANCOCK BUILDINGJOHN HANCOCK BUILDINGTRANSLATE:We translate the problem to the

following addition sentence using the variable h

1107 + 342 = h

Solving Problem Solving Problem JOHN HANCOCK BUILDINGJOHN HANCOCK BUILDINGSOLVETo solve the equation, we carry out

the addition sentence:

1107 +3421449

Therefore, 1449 = h, or h = 1449

Solving Problem Solving Problem JOHN HANCOCK BUILDINGJOHN HANCOCK BUILDINGCHECKWe check the height of 1449 ft in the

original problem. We can repeat the calculation. We can also check the reasonableness of the answer. We would expect our answer to be larger than either of the heights, which it is. We can also find an estimated answer by rounding:

1107 + 342 ~ 1100 + 300 = 1400 =

1449

Solving Problem Solving Problem JOHN HANCOCK BUILDINGJOHN HANCOCK BUILDINGSTATE

The height of the top of the antennas from the ground is 1449 ft.