real world performance tasks - 7th & 8th grade math...

Updated June 2014 © NextLesson 2014

Real World Performance Tasks

Real World Real Life, Real Data, Real-Time - These activities put students into real life scenarios where they use real-time, real data to solve problems. In the Products series, we use data from the Android app store and update our activities every month. Note - some data has been rounded or simplified in order to adjust the math to the appropriate level. Engaging Relevant – Students today are very familiar with consumer products, making these activities very relevant to children’s every day lives. Authentic Tasks - Through these activity sheets students learn how the analysis of statistics in marketing works and are prompted to form opinions and ideas about how they would solve real life problems. A glossary is included to help them with the unfamiliar terms used. Student Choice - Each set of activity sheets is available in multiple versions where students will do the same activities using data for different products (e.g., soda, bottled water, internet use etc.) You or your students can pick the category of products that most interests them. Modular Principal Activity - The activity sheets always start with repeated practice of a core skill matched to a common core standard, as set out in the Teacher Guide. This principal activity (or Level 1 as it is labeled to students) can be used in isolation. Step Up Activity - For the Level 2 questions, students are required to integrate a different skill or set of skills with increasing complexity. The additional skills used to answer these questions are set out in the Teacher Guide. Challenge - This is designed to require critical thinking skills and stretch students to reason with math and data to come to conclusions. They are matched up with one of the Common Core Standards for Mathematical Practice. These activities work well with students in pairs or small groups where they can discuss the math. Cross-Curricular Activity - Every activity sheet also includes a finale that you can use to extend the math lesson into another subject (usually ELA). These could be assigned in a second lesson or for homework. Customizable All of the activity sheets are provided in Word so that they can be differentiated to add remove or edit questions or even add space for students to show their work. Suggested customizations for each activity sheet are given in the Teacher Guide. Community We would love you and your students to let us know how you get on. Join the conversation on Twitter starting your tweet with @nextlesson and using #products.

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Teacher Guide Sound bite for Students: “In the real world scientific notation is used to make large (or small) numbers easy to work with.” Skills Practiced: Principal Activity (Level 1):

- Convert between scientific notation and standard form Step Up Activity (Level 2):

- Multiply and divide with numbers in scientific notation

Common Core Math Standards Addressed:

Principal Activity:

8.EE.A.1 Know and apply the properties of integer exponents to generate equivalent numerical expressions.

8.EE.A.3 Use numbers expressed in the form of a single digit times an integer power of 10 to estimate very large or very small quantities, and to express how many times as much one is than the other.

Step Up Activity:

8.EE.A.3 Use numbers expressed in the form of a single digit times an integer power of 10 to estimate very large or very small quantities, and to express how many times as much one is than the other.

8.EE.A.4

Perform operations with numbers expressed in scientific notation, including problems where both decimal and scientific notation are used. Use scientific notation and choose units of appropriate size for measurements of very large or very small quantities.

Differentiation Tips: You can edit any of the activity sheets to:

- change the numbers or tasks given (e.g. reduce the number of countries, or round all scientific notation numbers to single digit numbers)

- add or remove hints for differentiation purposes (e.g. remind students that the exponent for 10 represents the number of zeros after the one, exponents are added when multiplied, subtracted when divided)

- simplify by allowing students to use calculators, particularly for Q5 Due to school paper restriction, the spacing provided is only for answers. However, you could modify the spacing to add room for work if desired. Updates: At NextLesson we strive to engage students with data that is real and real-time. This lesson uses data as of May 2014. Please come back for the most recent updates.

Using Scientific Notation

1 Updated June 2014 © NextLesson 2014

Name: ________________________________

You are a Marketing Analyst for a large soda company in the United

States and you are trying to decide which countries to expand into

with your product.

Which countries consume the most soda?

LEVEL 1

Look at the amount of soda that people consume in the United States and 10 countries you are

considering.

1. Complete the table, showing scientific notation rounded to two decimal places.

The first one is done for you.

Country Liters of Soda Consumed

Annually

Liters of Soda Consumed Annually

(Scientific Notation)

United States 54,087,370,000 5.41x1010

Australia 1,998,698,500

Canada 3.57x109

China 1.23x1010

India 3,734,940,000

Japan 4,067,200,000

Mexico 1.75x1010

Norway 532,935,832

Russia 4,311,000,000

Sweden 6.87x108

United Kingdom 5,351,220,000

2. Which country outside of the United States consumes the most soda? How do you know?

3. Which country outside of the United States consumes the least soda? How do you know?

4. Approximately how many more times is the soda consumption of the United States per year

compared to the countries above?

Choose three countries and show how you know for each.

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LEVEL 2

To better compare the consumption of soda in each country, you must look at how much soda is

consumed per capita in each country.

5. Complete the table below. If the Per Capita Consumption is not in liters, be sure to convert

it first. The first one is done for you.

Country

Liters of Soda Consumed

Yearly In Scientific Notation

(From Page 1)

Population

Per Capita

Consumption

(Amount Per Person)

United States 5.41x1010 318,161,000 170 liters

Australia 23,514,100

Canada 35,344,962 101 liters

China 1,364,840,000

India 1,244,980,000

Japan 32 liters

Mexico 119,713,203

Norway 5,124,383

Russia 30 liters

Sweden 9,675,885

United Kingdom 84 liters

6. a. Which country consumes the most soda per capita? How do you know?

b. Which country consumes the least amount of soda per capita? How do you know?

7. Choose three countries and compare the soda consumption of each to the United States.

What do you notice?

8. As the marketing analyst, which of the 10 countries do you think that your company should

expand into? Why?

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Challenge

In the United States about 148 million liters of soda are consumed per day, or a little less than half

a liter per day, per person.

1. Choose 5 of the countries (including the country with the least consumption) and determine

how much soda is consumed by each country per day, and how much is consumed per

person per day. Please express your answer in scientific notation.

2. What is the advantage of looking at the amount consumed per person per day instead of

the total amount of soda?

3. What does this number tell us about how much soda people consume? Do all people drink

the same amount, or do some drink more and some less? Discuss how

soda consumption might vary from person to person.

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Finale

You could give students one of the following ideas or have them choose themselves.

1. Why would a country have a low amount of soda consumption? Carry out further research on a

few of the 10 countries to determine why. Consider population, other beverages that are

consumed, the economy of the country, and other factors. Prepare a presentation to give to the

class with your results.

2. Choose two of the countries that you have data for and prepare a report to the Chief Executive

of your soda company explaining why you think the data supports you expanding into those two

countries.

3. Choose a favorite soda or one that you’ve heard of. Do further research to find out more about

this product so you can find out more about where they have expanded in the world. Where is the

company located? Where do they sell their soda? How much soda do they sell per year? How

does this compare to the numbers you’ve seen in this worksheet? Create an infographic or other

visual representation to show your results to your own soda company.

4. How has the consumption of soda changed over time; either world-wide or in the United

States? Conduct further research to see how the consumption of soda has changed over the past

10 to 100 years. Prepare a line graph or other visual representation to display your results.

5. Choose one country that you think you should expand into next. Prepare a business plan for

expanding into this country. Use data to help you and think about how you would go about

expanding.

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Updated May 2014 © NextLesson 2014

Glossary

Expand – to grow or to start up a

business in a new place.

Marketing Analyst – in this job a

person reviews and analyzes data to find

out how best to market and sell a

particular product.

Per capita – per person (“per head”

capita = head in Latin).

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ANSWER KEY

LEVEL 1 1.

Country

Liters of Soda

Consumed

Yearly

Liters of Soda Consumed Yearly


United States 54,087,370,000 5.41x1010

Australia 1,998,698,500 2.00x109

Canada 3,569,841,162 3.57x109

China 12,283,560,000 1.23x1010

India 3,734,940,000 3.73x109

Japan 4,067,200,000 4.07x109

Mexico 17,478,127,638 1.75x1010

Norway 532,935,832 5.33x108

Russia 4,311,000,000 4.31x109

Sweden 686,987,835 6.87x108

United Kingdom 5,351,220,000 5.35x109

2. Mexico

3. Norway consumes the least soda. It has the smallest exponent and the smallest

coefficient.

4. Students should be dividing numbers in scientific notation in the following form

(this is a comparison between the United States and Norway):

Approximately 100 times:

(5.41x1010) ÷ (5.33x108) = (5.41 ÷ 5.33) x (1010 ÷ 108) ≈ 1 x 102 = 100

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Here are answers for each country:

Country Liters of Soda Consumed Yearly


How many more times

the consumption of the

US

Australia 2.00x109 27.06

Canada 3.57x109 15.15

China 1.23x1010 4.40

India 3.73x109 14.48

Japan 4.07x109 13.30

Mexico 1.75x1010 3.09

Norway 5.33x108 101.49

Russia 4.31x109 12.55

Sweden 6.87x108 78.73

United Kingdom 5.35x109 10.11


ANSWER KEY

LEVEL 2: 5.

Country

Liters of Soda Consumed

Yearly

In Scientific Notation

(From Page 1)

Population

Per Capita

Consumption

(Amount Per Person)

United States 5.41x1010 318,161,000 170 liters

Australia 2.00x109 23,514,100 85.00 liters

Canada 3.57x109 35,344,962 101 liters

China 1.23x1010 1,364,840,000 9.00 liters

India 3.73x109 1,244,980,000 3.00 liters

Japan 4.07x109 127,100,000 3 liters

Mexico 1.75x1010 119,713,203 146.00 liters

Norway 5.33x108 5,124,383 104.00 liters

Russia 4.31x109 143,700,000 30 liters

Sweden 6.87x108 9,675,885 71.00 liters

United

Kingdom 5.35x109 63,705,000 84 liters

6. a. Mexico consumes the most soda. 146.00 liters is the largest amount.

b. India consumes the least soda. 3.00 liters is the smallest amount.

7. Answers will vary- students could make additive or multiplicative comparisons.

8. Answers will vary - students could consider a country with low consumption one

that has room for growth or argue there is a reason it is low; a country with high

consumption could be saturated, or could want more.

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ANSWER KEY

Challenge

1.

Country Daily Consumption (liters) Daily Consumption per

capita

United States 1.48x108 0.46575 liters

Australia 5.48x106 0.23288 liters

Canada 9.78x106 0.27671 liters

China 3.37x107 0.02466 liters

India 1.02x107 0.00822 liters

Japan 1.11x107 0.08767 liters

Mexico 4.79x107 0.40000 liters

Norway 1.46x106 0.28493 liters

Russia 1.18x107 0.08219 liters

Sweden 1.88x106 0.19452 liters

United Kingdom 1.47x107 0.23014 liters

2. Answers will vary. Countries with least consumption will barely cover the bottom of a

container. The advantage is it makes the numbers much more tangible and meaningful.

3. Students should be thinking about what average means. A lot of the data (50% or so) will

be close to the average so about half of the population probably consumes close to the

average amount. However, there will be a percentage of people who consume way below

the average, or not at all, and those who consume way above the average to balance each

other to the average.

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Job Background

Market Analyst fall into the Bureau of Labor Statistics Category of “Market Research Analysts”.

Quick Facts: Market Research Analysts

2012 Median Pay

$60,300 per year $28.99 per hour

Entry-Level Education Bachelor’s degree

Work Experience in a Related Occupation None

On-the-job Training None

Number of Jobs, 2012 415,700

Job Outlook, 2012-22 32% (Much faster than average)

Employment Change, 2012-22 131,500

What Market Research Analysts Do Market research analysts study market conditions to examine potential sales of a product or service. They help companies understand what products people want, who will buy them, and at what price. Work Environment Because most industries use market research, these analysts are employed throughout the economy. Most analysts work full time during regular business hours. Some work under pressure of deadlines and tight schedules. How to Become a Market Research Analyst Most market research analysts need at least a bachelor’s degree. Top research positions often require a master’s degree. Strong math and analytical skills are essential. Pay The median annual wage for market research analysts was $60,300 in May 2012. Job Outlook Employment of market research analysts is projected to grow 32 percent from 2012 to 2022, much faster than the average for all occupations. Employment growth will be driven by an increased use of data and market research across all industries, to understand the needs and wants of customers, and to measure the effectiveness of marketing and business strategies. Similar Occupations Compare the job duties, education, job growth, and pay of market research analysts with similar occupations.

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http://www.bls.gov/ooh/business-and-financial/market-research-analysts.htm#TB_inline?height=325&width=325&inlineId=qf-wage

http://www.bls.gov/ooh/business-and-financial/market-research-analysts.htm#TB_inline?height=325&width=325&inlineId=qf-education

http://www.bls.gov/ooh/business-and-financial/market-research-analysts.htm#TB_inline?height=325&width=325&inlineId=qf-experience

http://www.bls.gov/ooh/business-and-financial/market-research-analysts.htm#TB_inline?height=325&width=325&inlineId=qf-training

http://www.bls.gov/ooh/business-and-financial/market-research-analysts.htm#TB_inline?height=325&width=325&inlineId=qf-number-jobs

http://www.bls.gov/ooh/business-and-financial/market-research-analysts.htm#TB_inline?height=325&width=325&inlineId=qf-outlook

http://www.bls.gov/ooh/business-and-financial/market-research-analysts.htm#TB_inline?height=325&width=325&inlineId=qf-emp-change

real world performance tasks - 7th & 8th grade math...

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