welcome to day 3 of part 1 computation. unit rates percents data analysis today’s topics ratios...

Welcome to Day 3 of Part 1Computation

Unit Rates

Percents

Data Analysis

TODAY’S TOPICS

Ratios &

Proportions

Let’s check your basic

knowledge of percents.

On your Genius Card, write 3 facts

about percents.

Find the fallacy in each percent

statement.Write the error on your

Genius Card.

What’s wrong

with this?

The hippy dippy weatherman said

that he can correctly predict the weather 100% of the time.

Hmm…

On a recent TAKS item, 5% chose A, 22% chose B, 3% chose C, and 72%

chose D.

Great shots!

The Never-Miss basketball team

made 30% of their field goals.

Absolutely!

The coach said, “I expect to see 200% effort in this game!”

?

Bo tossed two dice to test the probability of landing on an even

number. He noticed that the dice landed on

evens 17% of the time and on odds 73% of the

time.

Makes sense to

me!

Moe and Joe ordered a $10 pizza. They tipped the delivery

boy $5.

Okay…

When the movie began, 30 people

were in the theater. Within 5 minutes, 50% more people

entered making the total number 60.

Go, Pixie!

These are the results of a recent MISD election:

Mixie: 32%Pixie: 35%Dixie: 33%

Pixie was declared the winner for receiving a majority of the votes.

How did you do?

Next, we will try to apply our vast knowledge of

percents.

But first, a thought…

Percents are actually a fraction with 100

as the denominator.

So…

𝑛100

=𝑛%

So if we set up equivalent fractions……we could solve a

percent problem!

PART

WHOLE 100

n

=

A no-fail way to solve a percent application is to set up a percent proportion.

𝑝𝑎𝑟𝑡h𝑤 𝑜𝑙𝑒

=𝑛100

The part we are

considering

The entire amount we are

considering

The percent

This is always 100!

Equivalent fractions!

(AKA: proportion)

PART

WHOLE 100

n

=

35 is what percent of 700?

35700

=𝑛100

35

700

?

100

The part we are

considering

The entire amount we are

considering

The percent

This is always 100!

Solve the proportion.

PART

WHOLE 100

n

=

What number is 15% of 80?

𝑛80

=15100

?

80

15

100

The part we are

considering

The entire amount we are

considering

The percent

This is always 100!

Solve the proportion.

PART

WHOLE 100

n

=

48 is 24% of what number?

48𝑛

=24100

48

?

24

100

The part we are

considering

The entire amount we are

considering

The percent

This is always 100!

Solve the proportion.

Now, you are ready to apply your even

more vast knowledge of

percents.

Ziggy answered 15 out of 25 questions

correctly. What percent did Ziggy answer correctly?

There are 42 birds in the park. This is

56% of all the animals in the park. How many animals

are in the park?

62% of the coins landed on tails. If 50

coins were tossed, how many landed on

tails?

Now we will throw in a few

“tricks”…

Ready?

55% of the Ned’s coins are shiny. If Ned has 80 coins,

how many are not shiny?

TRICK!

Ted added a 18% tip to the price of his meal, which was

$7.50. How much did Ted pay in all?

EINSTEIN BREAK!Rest your brains!

It is time for

YOU to try some

percent problems!

On the desks, you see 16 different

problems. You must complete 12 of

them. You may cross out four items on your record sheet.

Unit Rates

Percents

Data Analysis

WHERE ARE WE?

Ratios &

Proportions

Unit rates & ratios will be EASY after

percents!

Ready?

A ratio is a numerical comparison of like

quantities.

Example: If the ratio of dogs to cats is 5:7, how many dogs are there if there are 84

cats?

A rate is a numerical comparison of unlike

quantities.

Example: We traveled 685 miles to Florida. If we drove 50 miles an hour,

how many hours did it take to make it to

Florida?Round to nearest whole number.

A unit rate is a numerical

comparison of like quantities with a denominator of 1

unit.

Example: Cereal A costs $4.49 for 12 ounces. Cereal B costs $3.14 for 8

ounces. Which is the better buy?

There are ratios all around us…

We will explore a few.

Now you will try some ratio problems.

Are you ready?

Brittney led the Bears in scoring two-thirds of the games last season. If the Bears played 42 games, in how many

was Brittney the leading scorer?

Which of the following is the least expensive

cost per apple?10 apples for $3.9912 apples for $4.598 apples for $3.15

Four snowcones cost $7.20. Ziggy wants

to buy five snowcones. How

much will 5 snowcones cost?

Lizzy can read 160 words per minute. At the same rate, how

long would it take Lizzy to read 240 words?

Unit Rates

Percents

Data Analysis

Let’s keep

going!Ratios

& Proportions

What does that mean?????????

Mean, Mode, Median, Range,…

All are measures of central tendency.

129

146

169

Find the mean.

129

146

169

Find the mode.

129

146

169

Find the median.

129

146

169

Find the range.

Playing with “mean” can be fun!

3328373230

Take a list of numbers like this.

Pick a number that seems to be near the

center.3328373230

Let’s pick 31.

Find the difference between 31 and each number.33

28373230

Write the difference as positive (how

much above 31) or negative (how much below 31).

3328373230

+231

-3+6+1-1

Add these numbers (the differences).

5Divide by the

number of numbers (5).

1 + 31Add the answer to 31.

The mean

is 32.

Try this list:

4547483540

And one more:

5849575556

Thinking about central tendency:

If Ned and Jed both have an 85 average,

what do we know about their grades?

Ned and Jed both have an 85 average. The

range of Ned’s scores is 23. The range of

Jed’s scores is 5. What do we know about their

grades?

Fred and Ted both have an 85 average. The

median of Fred’s scores is 90. The median of

Jed’s scores is 80. What do we know

about their grades?

EINSTEIN BREAK!Rest your brains!

Unit Rates

Percents

Data Analysis

Show what you

know! Ratios &

Proportions

Earn points by answering correctly at each level. We will begin with the easiest

problems (Level 1) and work up in levels of

difficulty to the challenging problems

(Level 2).

LEVEL 1 One Point

Percent

Izzy correctly answered 45 out of 60 problems on his

math test. What percent of the questions did he

correctly answer?

LEVEL 1One Point

Unit Rate & Ratios

Which is the better buy?15 batteries for $10.98

8 batteries for $6 12 batteries for $8.75

LEVEL 1One Point

Proportions

Joe can ride his scooter 20 miles per hour.

At this rate, how far could he ride from 8:00 am until

12:00 noon?

LEVEL 1One Point

Data Analysis

What is the mean of this

list of numbers?

2316281320

LEVEL 22 Points

Percent

Thirty-six of the scooters at the Hewitt Hobby Shop are blue. This represents 45% of all the scooters in the

store. How many scooters are in the store?

Unit Rate & Ratios

LEVEL 22 Points

The ratio of pigs to cows on McDonald’s farm is 8 to 7. If

there are 84 cows on his farm, how many pigs are on

his farm?

Proportions

LEVEL 22 Points

At HEB, 15 out of 43 watermelons are seedless.

If there are 258 watermelons, how many are

not seedless?

21192733

Data Analysis

LEVEL 22 Points

Which measure of

central tendency is

greater for this list of

numbers: mean, mode, or median?

LEVEL 33 Points

Percent

Fred and Jed bought a soccer ball. Fred paid 40%

of the total cost. If Fred paid $7.20, how much did Jed

pay?

LEVEL 33 Points

Unit Rate & Ratios

If Speedy can run 10 miles an hour, how many miles can he

run in 45 minutes?

LEVEL 33 Points

Proportions

Fred and Jed bought a soccer ball. Fred paid 40%

of the total cost. If Fred paid $7.20, how much did Jed

pay?

LEVEL 33 Points

Data Analysis

137

1723

Which statement is true?

A. Mean > MedianB. Mean = MedianC. Mean < MedianD. Mean > Range

LEVEL 44 Points

Percent

The number of members in the MMS math club

increased by 30% since April. If there are now 78

members in the math club, how many were in the club

in April?

LEVEL 44 Points

Unit Rate & Ratios

The ratio of the sides of an isosceles triangle is 2:5:2. If the perimeter of the triangle is 81 cm, what is the length

of the longest side?

LEVEL 44 Points

Proportions

If the ratio of offensive players to defensive

players is 21:32. At this rate, if there are 7 teams playing, how many total players would there be?

LEVEL 44 Points

Data Analysis

Moe wants to have a 93 average in math. His

scores are: 100, 88, 95, and 87. What is the lowest

score he could make on his next assignment to have a

93 average?

Add your points!

Stand.Sit when you see your point total:

102345678910111213141516

Write on your Genius Card three things you learned today about any of these topics: percent, ratios, unit rates, proportions,

measures of central tendency.