Smooth Operator Graffiti Gallery

32

49532

2012

53

102

FractionsDiscuss (and draw?) how to evaluate each situation. (NO calculators!)

Then write an equation to show the operation and its result.

3) We’ve already ridden our bikes for

4) I gave

1) Ed ate of the pizza. How much of the pizza is left?

2)

Solving Problems

1) On the first day of the Summer 15 Bridges Program students were assigned to 1 of three computer classrooms. 1/3 of the Bridges students when into Jen’s computer room, 1/16 of the Bridges students went into Karen’s computer room. What fraction of the students were left in Ed and Joe’s computer room?

Solving Problems

2) Joe brought in 7/8 of a leftover pizza. If Karen ate 2/3 of the leftovers, how much is left?

3a) Karen loves brownies. In fact, today she brought in 1+1/2 pans of brownies. If each brownie is 1/16 of a pan, how many individual brownies did she bring in? 3b) If there are 84 students registered for bridges and each student wants a brownie, how many pans does she need to bring in?

Warmup

Find the sum without a calculator1) 247+39 2) 516+7023) 5034+2766 4) 51.6+70.2

Find the difference without a calculator5) 204-87 6) 199-627) 3003-1839 8) 5.9-0.83

Decimals

Write out the following decimals in words.0.034Thirty-four thousandths305.49Three hundred five and forty-nine hundredths40.1006Forty and one thousand six ten thousandths

• What fraction below shows 3.4?A. 34/10 B. 34/2 C. 3/4

Decimals

Write the following number in words as a decimal

fifty and sixty-three hundredths50.63two thousand forty-one ten thousandths0.2041

Base 10 Number System

Decimals to Fractions

Convert the following decimals to fractions0.304 1.070.00603

Fractions to Decimals

Convert the following fractions to decimals. Approximate to the nearest hundredth if necessary. (No calculator.)

Comparing Fractions

13𝑎𝑛𝑑

14

57𝑎𝑛𝑑

59

• Compare the fractions in each pair and determine which value is greater. • Justify your answers with reasoning and/or visual models, but NOT by

getting common denominators or converting to decimals.

38𝑎𝑛𝑑

512

78𝑎𝑛𝑑

56

Ordering, Comparing, and Converting Decimals

• In each case below, state which number is larger and why.

• State a number that a value between the two given numbers.

• Convert each number to a fraction and a percent.

Percents

What is a percent?What are the various forms we express percent?Is 10% always the same as 10%?What are some examples of percent in our world?

Calculate the following without a calc.50% of 88 70% of 450

0.1% of 200 0.5% of 5015% of 17

Apple PieFor Jillian’s recipe, it takes 4 apples to make 1 pie. A bag of apples at the store has 6 apples and costs $2.46 including tax. Jillian didn’t have to buy anything besides apples to make the pies. She cuts her pies into 10 pieces. Kyle, her fiancé, didn’t know she was making them for a Bridges lunch, and ate 40% of a pie. Kyle who had a friend over at the time, devoured the rest of Kyle’s pie as well as 1/5 of another pie. Jillian baked 10 pies for the Bridges Lunch. 100 people were expected at lunch. • How many slices did Kyle eat?• How many slices did his friend eat?• How many apples did Kyle eat?• How many apples did his friend eat?• What percentage of her total pies did Kyle eat? What fraction of her total pies did Kyle eat? • What percentage of her total pies did the friend eat? What fraction of her total pies did the friend eat? • Are there enough slices now to feed everyone? If so, how many extra slices, if any? If not, how many more

slices would be needed to feed everyone? • What percentage of the total amount of pie made will be leftover or short? (depending on whether there is

extra or not enough)• How many bags did she have to buy?• How much money should Kyle give Jillian for the slices he and his friend ate to pay for the apples?• How much did each pie cost her to make?

Opportunity Cost• Recently you found an unopened graduation Hallmark card. So

you rush to open it up, and in it is a Visa Gift Card for $1,000.00. You read the back of the card for activation instructions and you notice that the card company charges you a fee equal to 10% of each transaction you make with the card. What does this mean for you and how you spend your money? Will this effect when, how, and what you purchase? Explain and provide examples that describe your reasoning.

• If you make one, and only one purchase, what is the maximum amount you can spend?

• You are allowed to obtain a pin number and withdraw cash from an ATM, but every time you do, there will be a 15% fee. Does this effect how you will spend your money and when?