Data Science

Lesson Objectives

In this lesson, you will learn about unit rates, how to use data to predict
trends, and how data science can help solve real-world problems. By
understanding these concepts, you'll be able to make more informed
decisions, analyze trends, and apply mathematical concepts to daily
life.

Objectives:
●

Learn about unit rates, their calculation, and applications.

●

Learn to predict trends using data.

●

Learn to use data science in real-world scenarios.

Applying Lessons to Everyday Decisions

For example, by understanding unit rates, you can determine the best
deal when shopping. Predicting trends can help you understand
changes in weather patterns, and using data science, you can solve
problems like finding the best time to post on social media for
maximum engagement.

Think of a situation in your life where you can use unit rates, trend
predictions, or data science to make a decision. How might these
concepts help you?

Words to Know

●Unit Rate: A comparison of any two units where one of the terms is 1.

●Ratio: A relationship between two numbers showing how many times the first
number contains the second.

●Trend: A general direction in which something is developing or changing.

●Forecast: A prediction or estimate of future events, especially coming weather
or a financial trend.

●Data Science: A field that uses scientific methods, processes, algorithms, and
systems to extract knowledge and insights from data.

●Analysis: The process of breaking a complex topic into smaller parts to gain a
better understanding of it.

Calculating and Understanding Unit Rates

A unit rate compares a quantity to one unit of another
quantity. It's often written as 'a per b' or a/b, where 'b' is 1.
For example, if a car travels 300 miles on 10 gallons of
gas, the unit rate would be 30 miles per gallon.

Unit rates are helpful in many real-life scenarios, such as
determining the cost per item, speed, and efficiency of
resources.

Let's Try It: Calculating and Understanding Unit Rates

If you buy 8 apples for $4, what is the cost per apple?

Let's Try It Together: Calculating and Understanding Unit Rates

Sarah drove 150 miles using 5 gallons of gas.
What is the unit rate in miles per gallon?

Analyzing Data to Predict Trends

Predicting trends involves looking at historical data
and determining patterns. These patterns help in
forecasting future events. It is often used in fields like
economics, climate science, and health sciences to
make informed decisions.

Trend prediction is useful in various sectors, such as
predicting stock market behavior, weather conditions,
and market demands.

Let's Try It: Analyzing Data to Predict Trends

If data shows that a store sold 30% more ice cream
every summer for the last 5 years, what trend can you
predict for this summer?

Let's Try It Together: Analyzing Data to Predict Trends

Which of the following is a trend prediction?

A. It will rain today.
B. Milk costs $3 per gallon.
C. Electric car sales will increase by 20% next
year.
D. There are 10 chairs in the room.

Solving Problems with Data Science

Data science involves collecting, analyzing, and
interpreting large amounts of data to solve problems.
This could be as simple as figuring out the best time to
buy a product or as complex as predicting the outbreak
of a disease. Skills in data science are essential in
today's data-driven world.

Data science helps in making better decisions in various
fields like healthcare, finance, and retail by providing
insights based on data analysis.

Let's Try It: Solving Problems with Data Science

If a company uses data science to find that
advertising on social media increases sales by 15%
each month, by what percent would sales increase
after 3 months?

Let's Try It Together: Solving Problems with Data Science

Which of the following scenarios best
illustrates data science solving a problem?

A. Using historical sales data to stock up on
popular products before a sale.
B. Asking a friend for advice on which movie
to watch.
C. Reading a book about WWII.
D. Planting a garden.

Exit Ticket: Calculating and Understanding Unit Rates

Which of the following is a unit rate?

A. 5 apples for $4
B. 50 miles per hour
C. 10 meters in 2 seconds
D. 12 sandwiches for 6 people

Exit Ticket: Analyzing Data to Predict Trends

Jin noticed that the number of students
joining the chess club increased by 5
members each year for the past 3 years.
How many new members can he expect this
year?

Exit Ticket: Solving Problems with Data Science

Emily is using data science to determine the best time
to post on social media for maximum engagement.
She finds that posts at 6 PM get 20% more
engagement than those at 9 PM. When should she
post for best results?