working math sampler

7/31/2019 Working Math Sampler

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A Collection of Applied Mathematics Activities

Designed for Career and Technology Students

Thomas Boito

SAMPLERTo purchase the complete Working

Math ebook, click here.
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Daily Mini Activities to Support Fundamental Math Skills

This book is a collection of 90 activities designed to support the retention of

basic mathematics skills by students in career and technology schools.

Each activity has been placed in a context that might be meaningful to CTCstudents.

The activities are designed to be completed by a typical student in a short

period of time (approximately 10-15 minutes) with minimal teacher

intervention. They are meant to review and reinforce fundamental

mathematics to which the student has most likely been exposed previously.

A student might complete 2 or 3 activities each week. It is not necessary to

complete the activities in any particular order. There are, however,occasional clusters of related activities that should be completed

sequentially. Nor, is it necessary that all your students do the same activity

at the same time. Activities can be re-used at various times throughout the

year as you see appropriate.

It is very important that simply providing numerical responses is not

accepted as adequate. Students should be encouraged to show all the

steps in the solution of each problem, even if a calculator or mental

arithmetic is being used. For example, if a calculator was used to divide 87by 12, the task, 8712 should be shown in the work.

Possible Use:Use a selected activity as an entrance ticket each Tuesday and Thursday. A studentpicks up the task upon arrival in the shop, completes it, and turns it in to the instructorbefore going about his usual shop activities.

The instructor reviews the work submitted and provides any necessary support tostruggling students Wednesday and Friday. This support could be 1-to-1, small group,or whole class as the instructor deems appropriate. There should be feedback to everystudent, even if nothing more than a Well Done! or Good job!.

Thomas Boito 2011-12
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Find the VOLUME

of each truck.8 ft

7 ft

Volume = Length xWidth x Height22 x 7 x 8 = 1232The volume is 1232

Example:

36 ft8 ft

ft

16 ft

7.5 ft

7.5 ft

18.5 ft

6 ft

8.5 ft

20 ft8 ft

7 ft

22 ft
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Belle Vernon

Clairview

Gburg-Salem

Frazier

Hempfield

Jeannette

Mt PleasantNorwin

Penn-Trafford

Southmoreland

Yough

0 50 100 150 200

Boys Girls Distribution of

Students at

CWCTC

Which schoolsends the mostkids toCWCTC?

Which schoolssend between 50and 100 kids toCWCTC?

Which schoolssend more girlsthan boys toCWCTC?

Which schoolssend more than100 kids?

Which schoolssend fewer than100 boys?

Which schoolssend more than100 boys?
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5/12

On Friday, you did two

permanent waves, one

all-over foil, three

eyebrow waxings, andone manicure.

On Saturday, you did

three cap highlights, one

combo waxing, one

permanent hair color, and

two childrens haircuts.

Item Price

All-over Foil $15

Cap Highlights $10

Permanent Wave $12

Permanent Color $12

Childrens Cut $1.50

Eyebrow Wax $2

Combo Wax $3.50

Manicure $3

On which day did you take in the most money?

How much more moneydid you take in that day?

What is the average amountof money you made eachday?

Working with Money
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Adding andSubtractingMeasurements

Example:If 2 6 is cut from a section of2x4 that is 6 4 long, howmuch is left?

Subtract 2 6 from 6 4

6 ft 4 in = 5 ft 16 in

-2 ft 6 in = 2 ft 6 in3 ft 10 in

Since you cant take 6from 4, you have to borrowa foot (12) from the 6.Along with the 4 you hadto start with, is now 16.

If you connect 4 3 of tubing with 38 of tubing, whats the total length oftubing you now have?

If 4 lb 5 oz of ground beef is mixed with 2 lb 8 oz ofground pork, what would be the total weight of themixture?

A jug contains 3 gallons of orange juice. You pour1 gallon 10 ounces from the jug. How much juiceis left in the jug?

If you worked 1 hour 25 minutessanding, then 45 minutes painting,how much time did you put in on the

job?
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7/12

1 yard is 3 feet long1 foot is 12 inches long1 yard is 36 inches long

Think:Feet are smaller than yards, so youwould need more feet than yards tocover the same distance.If you need more, you multiply.The number that relates yards andfeet is 3.

Example: Change 30 yards to feet.

Change 17 yards to feet.

Change 8 feet to inches.

Change 9 yards to inches.

How many inches is 5 feet? How many inches is 5 yards?

How many feet is 5 yards?

How many inches is 3 feet?

How many feet is 4 yards 2 feet?
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8/12

How much to bill?

Job Hours

Replace one backup light bulb 0.4

Replace one brake light bulb 0.4

Replace one brake light switch 0.5

Replace one dimmer switch 0.4

Replace one fog/driving lamp 0.5

Replace one headlightassembly

0.6

Align four headlamps 0.6

Replace one parking light bulb 0.3

Replace one taillight bulb 0.3

Replace one turn signal bulb 0.3

Labor Rate: $40/hour

Example:How much should youcharge for labor to replace 1taillight bulb and 1 turn signalbulb?

Using the chart, the time toreplace the taillight bulb 0.3hr and to replace the turnsignal bulb is also 0.3 hr.

The labor rate is $40 perhour, so multiply that by thetotal hours.

How much should you charge for labor toreplace 1 backup bulb and 1 brake light bulb?

How much should youcharge for labor to replace1 headlight assembly andalign the headlights?

What should be the labor cost to replace 1 backuplight bulb, 1 brake light bulb, 1 taillight bulb, and 1turn signal bulb?

What should be the labor cost to replace 1brake light switch, 2 brake light bulbs, and 2taillight bulbs?
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R D E U F G N V H

4 5/8 5 3/16 5 15/16 - 5 7/8 - 5 1/2 5 3/8 - 5 3/4 4 3/4 - 5 3/16 - 4 3/4 - 5

Match the letter to the corresponding

measurement to spell out a message.

Ruler Measuremen
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10/12

Reading a ClockPlace the hands on each clock face to show the indicated time.

9:00 AM 4:00 AM 11:00 PM

9:50 AM2:20 PM5:30 AM

7:55 PM3:45 PM6:15 AM
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11/12

AveragesTake Your Chances Used Cars sold12 cars in January, 10 in February, 8in March, 12 in April, 15 in May, and17 in June. What were the averagemonthly sales for the first half of the

year?

They went on to sell 16 cars in July, 20 inAugust, 14 in September, 11 in October, 9 inNovember, and 11 in December. What were theaverage sales for the second half of the year?

What were Take Your Chances UsedCars average monthly sales for thewhole year?

What were Take Your Chances UsedCars average weeklysales for thewhole year?

If two years ago Take Your ChancesUsed Cars sold an average of 13 cars amonth, how many cars did they sell inthe whole year?

The average monthly sales for March throughMay were 18 cars a month. If 14 cars weresold in March and 22 in May, how many weresold in April?
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12/12

Co

mpa

ring

Frac

tions

There are several ways to determine which of two fractions is larger or smaller thanthe other.

One of the easiest andmost direct ways is to

change each fraction intoan equivalent decimal,then use the decimals tocompare them.

Example:

Is larger or smaller than ?

Think: 0.4 is more than0.333, so

Is larger or smaller than ? Is 5/8 larger or smaller than ?

Is 3/16 larger or smaller than ? Is 7/16 larger or smaller than 4/9 ?
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