JAYS

Heather Reimer Mathematics

J – Just Name the Problem

• Restate the problem in your own words. • What is the important information needed to solve the problem?

A – Arrive at Strategies

• • • • • • • Look for a pattern Draw a picture or diagram Make a list/table Use logical reasoning Work backward Try a simpler problem Guess and check

Y – You Solve It!

• Use the chosen strategy to solve the problem. • You may have to try more than one strategy.

S – See and Check

• Did you answer the problem question? • Is your answer reasonable? • Is your answer accurate? • Is there another way to solve the problem? • Could you solve another, similar problem in the same way?

Height of Backboard

(JAYS Problem Solving)

Alan wants to measure the height of the top of the backboard of his basketball goal. However, his mother won’t let him climb up a ladder to measure it and he doesn’t have a tall enough tape measure. So, he must find another way to measure it: MATH! He knows the following At precisely 4:00 p.m. the shadow of a nearby 4 foot fence is 20 inches, and the shadow of the backboard is 65 inches.

What is the height of the top of the backboard?

Mixing Dried Fruit (JAYS Problem Solving)

The owner of a health-food store sells dried apples for $1.20 per quarter-pound, and dried apricots for $1.80 per quarter-pound. How many pounds of each must he mix together to get 20 lbs of a mixture that sells for $1.68 per quarter-pound?

CAR SALES

(JAYS Problem Solving)

Mrs. Lucas earns a salary of $24,000 per year plus 1.5% commission on her sales. If the average price of a car she sells is $30,500, how many cars must she sell to make an annual income of at least $40,000?

Auto Repair

(JAYS Problem Solving)

At Ted's Auto Repair Shop it costs $50 an hour, or any fraction thereof, to get your car fixed. 1. Explain "fraction thereof." 2. Graph the situation (cost and time). 3. How much would it cost to have the car repaired for 3 hours and 10 minutes?

•

Toy Manufacturer

(JAYS Problem Solving)

A toy manufacturer is introducing two new dolls, My First Baby and My Real Baby. In one hour, the company can produce 8 First Babies or 20 Real Babies. Because of demand, the company produces at least twice as many First Babies as Real Babies. The company spends no more than 48 hours per week making these two dolls. The profit on each First baby is $3.00, and the profit on each Real Baby is $7.50. •

Find the number and type of dolls that should be produced to maximize profit.

Flight Path

(JAYS Problem Solving)

A pilot typically flies a route from Bloomington to Rockford, covering a distance of 117 miles. In order to avoid a storm, the pilot first flies from Bloomington to Peoria, a distance of 42 miles, then turns the plane and flies 108 miles on to Rockford. Through what angle did the pilot turn the plane over Peoria?

Thank You!

• Questions?